Browse Math problems Studdy Solved!

Problem 56601

Identify the compound with atoms that have an incomplete octet. A) $ICl_5$ B) $CO_2$ C) $BF_3$ D) $Cl_2$ E) $CO$

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Problem 56602

Consider the following. $f(x)=x^{4}-3 x^{2}-4$
Find all the zeros of the function. (Enter your answers as a comma-separated li $x=$ $\square$

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Problem 56603

Factor the binomial completely. $27-m^{3}$

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Problem 56604

2) $\lim_{x \to 1} \frac{\ln{x^2}}{x^2 - 1}$

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Problem 56605

$3)\ \log{(x^2+1)}-x=0$

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Problem 56606

Directions: Write the ratio in simplest form.
1. 28 elementary schools to 16 middle schools
2. 30 treadmills to 36 elliptical machines
3. 18 buses to 66 cars
4. 180 red marbles to 145 blue marbles

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Problem 56607

Area under a Curve
30. Find the first-quadrant area bounded by the curve $y=x^{2}+1$ , the $y$ -axis, and the lines $y$ $=3$ and $y=6$ .

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Problem 56608

The vectors $\mathbf{u}$ and $\mathbf{v}$ have the same direction. a. Find $\|\mathbf{u}\|$ . b. Find $\|v\|$ . c. Is $\mathbf{u}=\mathbf{v}$ ? Explain. a. $\|\mathbf{u}\|=$ $\square$ (Simplify your answer. Type an exact answer, using radicals as needed.)

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Problem 56609

Question 3
Find the average rate of change of the function $f(x)=\frac{7}{3 x+6}$ , on the interval $x \in[3,5]$ . Average rate of change $=$ $\square$ Give an exact answer. Submit Question

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Problem 56610

$\frac{1}{\sqrt{3} - 2} \times \frac{\sqrt{3} + 2}{\sqrt{3} + 2}$

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Problem 56611

10. $(7x + 3) - (x + 9)$

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Problem 56612

The graph of $y=f(x)$ is shown to the right. Identify the intervals on which $f(x)$ is increasing.
Which of the following shows every interval on which $f(x)$ is increasing? Choose the correct answer below. A. $(b, c),(d, e),(f, h)$ B. $(b, d),(f, g)$ C. $(b, d),(f, h)$ D. $(\mathrm{b}, \mathrm{c}),(\mathrm{d}, \mathrm{e}),(\mathrm{f}, \mathrm{g})$

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Problem 56613

$n$ is directly proportional to $w$ .
$n = 54$ when $w = 9$
a) Use the information above to write an equation for $n$ in terms of $w$ .
b) What is the value of $n$ when $w = 13$ ?
Give any decimal answers to 1 d.p.

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Problem 56614

This scatter graph shows some people's scores in two games of bowling. The scores from the two games were added together.
What was the highest total score?
Bowling scores
Game 2 100 90 80 70 60 50 0 50 60 70 80 90 100 Game 1

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Problem 56615

11. [5 marks] Find the absolute extrema of $f(x) = x^3 - 12x$ on $[-1, 3]$ . $f'(x) = 3x^2 - 12$ $3(x^2 - 4)$ $(x-2)(x+2)$ 2 $f(2)$ $f(-1)$ $f(3)$

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Problem 56616

Suppose a drawer contains four green socks, five red socks, and three white socks. We draw one sock from the drawer and it is equally likely that any one of the socks is drawn. Find the probabilities of the events in parts (a)-(e).
a. Find the probability that the sock is red. (Type an integer or a simplified fraction.)
b. Find the probability that the sock is green or white. (Type an integer or a simplified fraction.)
c. Find the probability that the sock is brown. (Type an integer or a simplified fraction.)
d. Find the probability that the sock is not green. (Type an integer or a simplified fraction.)
e. We reach into the drawer without looking to pull out four socks. What is the probability that we get at least two socks of the same color? (Type an integer or a simplified fraction.)

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Problem 56617

65) $f(x) = \frac{x^2 - 6x + 2}{x+8}$
A) $x = y + 6$ B) $y = x - 14$ Objective: (4.5) Find Oblique Asymptote of Rational Function
Solve.
66) $x^2 - 9x + 20 > 0$
A) $(5, \infty)$ B) $(-\infty, 4) \cup (5, \infty)$ Objective: (4.6) Solve Quadratic Polynomial Inequality
List the critical values of the related function. Then solve the inequality.
67) $\frac{1}{x+6} > 0$
A) No critical values; $\emptyset$ B) $-6; (-\infty, -6)$ Objective: (4.6) Solve Rational Inequality I

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Problem 56618

8. Factor completely. (a) $3x^2 - x - 14$ (b) $20x^2 + 11x - 3$ (c) $6x^2 + 17x + 12$ (d) $12x^2 - 11x + 2$

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Problem 56619

Which of the following is the graph of this function rule? $y = \frac{2x}{3} - 2$

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Problem 56620

Solve the following system of equations. $-3x+y=17$ $7x+y=-23$ $x=$ $y=$

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Problem 56621

8. How long does it take a 720 Watt electric drill to transform 45,000 J of energy? [2 marks] $W = 720 W$ $t_W = 95,000$ $E_t = W \times t$ $t = 62.5 s$ $45000 = \frac{720t}{720}$

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Problem 56622

5. $KLMN \sim PQRS$ ; find $x$ $KN = 7x - 9$ $LM = 4x + 4$ $QP = 48$ $RS = 60$
3. $MNP \sim QRP$ ; find $PR$ $MN = 24$ $NP = x + 8$ $QR = 28$ $RP = 3x - 9$
6. $ARST \sim AYSZ$ ; find $YZ$ $AR = 3x - 7$ $RS = 2x + 2$ $AY = 40$ $YZ = Z5$
4. $ABCD \sim AFGE$ ; find $FE$ $BC = 39$ $CD = 42$ $FG = 4x + 2$ $FE = 5x - 2$

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Problem 56623

14. The graph of which function has the same axis of symmetry as the graph of $y=2 x^{2}-8 x+3$ ? Explain your reasoning. A. $y=-4 x^{2}+16 x-5$ B. $y=2 x^{2}+8 x+7$ C. $y=3 x^{2}-6 x+7$ D. $y=-6 x^{2}+10 x-1$

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Problem 56624

The right triangle on the right is a scaled copy of the right triangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.

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Problem 56625

13. $\begin{aligned} -60 & =x-16 \\ -60+\square & =x-16+ \end{aligned}$

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Problem 56626

$Pollution\ and\ altitude:\ In\ a\ random\ sample\ of\ 331\ cars\ driven\ at\ low\ altitudes,\ 52\ of\ them\ exceeded\ a\ standard\ of\ 11\ grams\ of\ particulate\ pollution\ per\ gallon\ of\ fuel\ consumed.\ In\ an\ independent\ random\ sample\ of\ 85\ cars\ driven\ at\ high\ altitudes,\ 23\ of\ them\ exceeded\ the\ standard.\ Can\ you\ conclude\ that\ the\ proportion\ of\ high-altitude\ vehicles\ exceeding\ the\ standard\ differs\ from\ the\ proportion\ of\ low-altitude\ vehicles\ exceeding\ the\ standard?\ Let\ p_1\ denote\ the\ proportion\ of\ low-altitude\ vehicles\ exceeding\ the\ standard\ and\ p_2\ denote\ the\ proportion\ of\ high-altitude\ vehicles\ exceeding\ the\ standard.\ Use\ the\ \alpha = 0.01\ level\ of\ significance\ and\ the\ P-value\ method\ with\ the\ TI-84\ Plus\ calculator.$
$Part:\ 0/4$
$Part\ 1\ of\ 4$
$State\ the\ appropriate\ null\ and\ alternate\ hypotheses.$
$H_0:$
$H_1:$
$This\ hypothesis\ test\ is\ a\ (Choose\ one)\ test.$

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Problem 56627

$x^{2}-14 x+49$ $a^{2}+28 a+19 b$
For \#30 \& 31, (a) Write the third term for "Completing the Square" of the perfect square trinomial. (b) Write the perfect square trinomial as a binomial squared. 30) $\mathrm{x}^{2}+18 \mathrm{x}+$ $\qquad$ 31) $a^{2}+11 a+$ $\qquad$

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Problem 56628

1 Fill in the Blank 1 point An equation is shown. $(\frac{27}{8})^{-\frac{2}{3}} = \frac{a}{b}$ Find the value of each variable. a = type your answer... b = type your answer...

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Problem 56629

Reading Test $\cdot$ Informational Text Questions 4-7 refer to the following passage and graph about imported food.
Reading the labels on supermarket shelves and displays is like taking a virtual trip around the world. Nectarines from Chile, apples from New Zealand, and shellfish from China are just a few of the items you're likely to find. Increased foreign trade and consumer demand for variety have helped globalize the American food supply. Since 1980, Americans’ consumption of imported foods has risen considerably, as shown in the graph below.
U.S. Consumption of Imported Food
Key 1980 2009
Source: U.S. Department of Agriculture
The U.S. Food and Drug Administration (FDA), charged with keeping the American food supply safe, has expanded its operations. A growing number of FDA employees are now working with international standards-setting organizations, multinational health and trade organizations, and government and private agencies worldwide. Their mission is to ensure that American food is safe to eat regardless of where it was grown, processed, or packaged. This is not an easy task, since U.S. standards and rules often differ from those in other nations.
4. Consumption of which type of imported food tripled between 1980 and 2009? A grain B fresh vegetables C fresh fruit D fish, fish products, and shellfish
5. According to the passage, why did the FDA get involved with international food-related agencies and private organizations? A It needed to increase the international flow of food so U.S. consumers would have a variety of food to choose from. B It needed to make selling imported food in the U.S. easier for foreign producers. C It needed to work with organizations in other nations to ensure that imported food would meet U.S. safety standards. D It needed to ensure that imported foods would be competitively priced in U.S. supermarkets.
6. The globalization of the food supply indicates that American consumers value which of the following most highly? A food grown organically B food from local food producers C a wide variety of food, available all year D seasonal produce
7. What conclusion can be drawn from the information in the graph and passage? A Americans are likely to continue consuming imported food in the future. B The market for imported vegetables is more profitable than that for imported fruit. C As food imports have grown, U.S. production of food has declined. D Eventually, the U.S. food supply will be entirely imported.

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Problem 56630

12. Marco has $2 \frac{1}{8}$ bags of soil to put in his garden. Each bag of soil will cover $78 \frac{2}{5} \mathrm{ft}^{2}$ . How many square feet will Marco be able to cover if he uses all these bags of soil?

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Problem 56631

Question Watch Video Show Examples As a fraction in simplest terms, what would you multiply the first number by to get the second? First number: 5 Second number: 4 Answer Attempt 1 out of 20 $5 \cdot \boxed{\phantom{0}} = 4$ Submit Answer

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Problem 56632

Exer. 21-24: Use polar coordinates to find the limit, if it exists. $21 \lim _{(x, y) \rightarrow(0,0)} \frac{x y^{2}}{x^{2}+y^{2}}$ $22 \lim _{(x, y) \rightarrow(0,0)} \frac{x^{3}-y^{3}}{x^{2}+y^{2}}$ $23 \lim _{(x, y) \rightarrow(0,0)} \frac{x^{2}+y^{2}}{\sin \left(x^{2}+y^{2}\right)}$ $24 \lim _{(4, y) \rightarrow(0,0)} \frac{\sinh \left(x^{2}+y^{2}\right)}{x^{2}+y^{2}}$

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Problem 56633

Which of the following is NOT displayed within the tile design? DILATION ROTATION REFLECTION TRANSLATION

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Problem 56634

$= \tan^2{x} \cdot \csc{x}$ Rule ?
$= \frac{\sin^2{x}}{\cos^2{x}} \cdot \csc{x}$ Rule ?
$= \frac{\sin^2{x}}{\cos^2{x}} \cdot \left( \frac{1}{\sin{x}} \right)$ Rule ?
$= \frac{\sin{x}}{\cos{x}} \cdot \left( \frac{1}{\cos{x}} \right)$ Rule ?
$= \tan{x} \cdot \left( \frac{1}{\cos{x}} \right)$ Rule ?
$= \tan{x} \cdot \sec{x}$ Rule ?
Rule Algebra Reciprocal Quotient Pythagorean Odd/Even

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Problem 56635

A cone with a base having a radius of 10 inches has a volume of 261.67 cubic inches. What is the approximate height of the cone? 2.0 inches 2.5 inches 4.5 inches 5.0 inches

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Problem 56636

Suppose that the functions $f$ and $g$ are defined as follows. $f(x) = x-5$ $g(x) = \sqrt{3x-4}$
Find $\frac{f}{g}$ and $f+g$ . Then, give their domains using interval notation.

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Problem 56637

a) $\frac{7}{q-2} \cdot \frac{2 q-4}{q+4}$

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Problem 56638

For the region formed by the functions $f(x)=x^{2}-2 x-2$ and $g(x)=5$ on the interval $[-1,2]$ , use definite integrals to find the area of the region. Answer: The area is $\square$ Hint: Follow Example 2.

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Problem 56639

Solve the system if possible by using Cramer's rule. If Cramer's rule does not apply, solve the system by using another method. Write all numbers as integers or simplified fractions. $\begin{array}{r} -10 x-3 y=17 \\ 4 x-9 y=8 \end{array}$

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Problem 56640

24. The drama club sold all the tickets for its annual production in three days. The club sold 143 tickets the first day and 295 tickets the second day. If the drama club sold 826 tickets, how many tickets were sold on the third day of sales? Solve the equation $438+t=826$ for the number of tickets, $t$ , sold on the third day of ticket sales.

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Problem 56641

Find the amount that results from the given investment. $\$ 300$ invested at 5\% compounded daily after a period of 4 years
After 4 years, the investment results in \\square$ . (Round to the nearest cent as needed.)

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Problem 56642

15. $(2 x-7)(x+5)=0$

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Problem 56643

Write the Maclaurin series for $f(x) = 5x^2 e^{-2x}$ as $\sum_{n=0}^{\infty} c_n x^n$ .
Find the first six coefficients.
$c_0 =$ $c_1 =$ $c_2 =$ $c_3 =$ $c_4 =$ $c_5 =$

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Problem 56644

This is Section 4.4 Problem 46: For the function $f(x)=x^{2}-2 x+1$ on the interval $[0,2]$ , the average value of $f$ is is $\square$ . (Use a fraction.)
Hint: Follow Exämple 6. $\square$

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Problem 56645

In Exercises 1-4, decide whether the function is a polynomial function. If so, write it in standard form and state its degree, type, and leading coefficient.
1. $f(x)=4 x^{2}-3 x+5 x^{3}-7$
2. $h(x)=5 x^{3}-7 x^{-2}+x-1$
3. $g(x)=x^{4}-\frac{1}{3} x^{2}+10-4 x^{3}+2 x$
4. $f(x)=8 x^{2}-\sqrt{3} x+2$
In Exercises 5-7, evaluate the function for the given value of $x$ .
5. $f(x)=-2 x^{4}+x^{3}+5 x^{2}-3 x-7 ; x=-1$
6. $g(x)=5 x^{4}-2 x^{3}+9 x-10 ; x=-6$
7. $h(x)=x^{5}-4 x^{3}+3 x^{2}+11 x-8 x=7$
In Exercises 8 and 9 , describe the end behavior of the graph of the function.
8. $g(x)=6 x^{4}-3 x^{3}+12 x^{2}+8 x+2$
9. $h(x)=-5 x^{3}+6 x^{2}-5 x^{4}+x^{2}-1$
In Exercises 10-13, graph the polynomial function.
10. $q(x)=x^{4}-2$
11. $h(x)=x^{3}-2 x+3$
12. $k(x)=2 x^{2}+3=x^{3}$
13. $f(x)=x^{3}-2 x^{3}+1$
In Exercises 14 and 16, describe the x-values for which $f$ is inereasing, decreasing, positive, and negative. 14. 16.
16. Suppose $f(x) \rightarrow-\infty$ as $x \rightarrow-\infty$ and $f(x) \Rightarrow-\infty$ as $x \rightarrow+\infty$ . Describe the degree and leading coefficient of the function.

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Problem 56646

JUSTIFY REASONING Consider the statement: If $\boldsymbol{c}$ is a real number, then a dilation centered at the origin maps the line $y=c x$ to itself. Which statement best determines whether the statement is sometimes, always, or never true and justifies the reasoning? A) Sometimes; The line $y=c x$ passes through the origin, but depending on the value of $c$ , the image may map onto itself or may be parallel or perpendicular and not map onto itself. B) Always; The line $y=c x$ passes through the origin and a dilation leaves lines through the center of dilation unchanged. C) Sometimes; The line $y=c x$ passes through the origin, but if $c$ is negative, the dilation would be perpendicular to the preimage. D) Never; The line $y=c x$ passes through the origin and because the origin is the center of dilation, the image line will be parallel to the preimage.

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Problem 56647

The length of a rectangular room is 5 feet greater than its width. Which of the following equations represents the area ( $A$ ) of the room? - $A=x(x+5)$ $A=x+(x+5)$ $A=5 x$ $A=2 x+2(x+5)$

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Problem 56648

Question 1 During very intense exercise: Fats are the only energy source the parasympathetic nervous system is activated oxygen levels increase in the aorta the breathing rate (ventilation rate) increases
Question 2 What happens to total peripheral resistance during exercise? Decreases because all the arterioles in the body vasodilate Increases because the sympathetic nervous system is activated Increases because arterioles near muscles vasodilate Decreases because increased CO2 near muscles decreases local arteriole resistance

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Problem 56649

Your answer was A. Wrong. Consider the function $f(x) = \frac{x - 6}{x^2 - 36}$ . Which of the following statements is true about this function?
A The function has infinite discontinuity at $x = 6$ . B The function has removable discontinuity at $x = 0$ . C The function has an infinite discontinuity at $x = -6$ . D The function has no points of discontinuity. E The function has a removable discontinuity at $x = -6$ . F None of the above.

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Problem 56650

10. [-/1 Points] DETAILS MY NOTES AUFBALG8 5.4.022.
Use the slope-intercept form $y = mx + b$ .
Find the equation of the line that contains the point whose coordinates are $(-1, 2)$ and has slope $-\frac{1}{2}$ . Need Help? Watch It Additional Materials

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Problem 56651

Question 1
Sulfonylurea is a type of drug used to treat Type II diabetes. It causes an increase in insulin release from beta cells. Will this drug help patients with Type I diabetes as well? Choose the correct answer and explanation.
Yes, because Type I diabetics have less sensitive insulin receptors No, because Type I diabetics do not need insulin No, because Type I diabetics do not have beta cells Yes, because all diabetics need insulin
Question 2
Which of the following is true of the absorptive state?
Energy input is less than output, so energy is released from breakdown of large biomolecules. Energy input exceeds output, so energy is stored in large biomolecules. Energy input is equal to energy output, so the body is in energy balance. Energy input is less than output, so energy is stored in large biomolecules.
1 pts

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Problem 56652

Graph: $\begin{cases} y > \frac{1}{2}x - 2 \\ y < -4x + 1 \end{cases}$

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Problem 56653

Write an equivalent expression by expanding $-5(-2d+6)$ .
$-5(-2d+6) = \boxed{\phantom{10}}d - \boxed{\phantom{30}}$

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Problem 56654

Question 3 After a meal gluconeogenesis occurs glycogenolysis occurs glycogen is synthesized glucagon is released
Question 4 Why is polyuria a symptom of hyperglycemia? Glucose in the nephron filtrate disrupts the normal osmotic gradient Increased glucose in the blood impairs the ADH receptor Glucose binds to and blocks the pore of aquaporins More ADH is released in response to hyperglycemia

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Problem 56655

Write an equivalent expression by expanding $-5(-2d+6)$ .
$-5(-2d+6) = \boxed{\phantom{10}}d - \boxed{?}$

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Problem 56656

Consider the following limit of Riemann sums of a function $f$ on $[a, b]$ . Identify $f$ and express the limit as a definite integral. $\lim _{\Delta \rightarrow 0} \sum_{k=1}^{n} x_{k}^{} \tan ^{2} x_{k}^{} \Delta x_{k} ;[2,3]$
The limit, expressed as a definite integral, is $\square$ $\square$ $\square$

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Problem 56657

Question 3
1 pts
Some athletes take creatine supplements, which is allowed in most professional sports. Usually when someone takes creatine supplements, the body stops producing as much, so levels increase just a little bit.
Think about the purpose of creatine (or creatine-phosphate). Which athletes would benefit the most from creatine supplements?
Long-distance cyclist
Weight lifter
Marathon runner
Soccer player

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Problem 56658

In Exercises 8-11, find the product.
8. $5 x^{2}\left(3 x^{2}+7 x+6\right)$
9. $-2 x^{4}\left(10 x^{3}-9 x^{2}-7 x+4\right)$ $15 x^{4}+35^{3}+30 x^{2}$
10. $\left(8 x^{2}-3 x+1\right)(-3 x+2)$
11. $(-x-6)\left(3 x^{2}+2 x+9\right)$

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Problem 56659

$20$
$(a)$ When steam is passed over carbon at $700^\circ C$ , the equilibrium (partial pressure) for water and hydrogen is $90 kPa$ and $183 kPa$ respectively.
$(i)$ Calculate $K_p$ at $700^\circ C$ .
$(ii)$ What is the new equilibrium partial pressure of hydrogen if after the system had achieved equilibrium, the partial pressure of steam is increased to $150 kPa$ at the same temperature? $[3]$

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Problem 56660

What is the standard enthalpy of formation of $PCl_3(g)$ in kJ mol $^{-1}$ ? (Note that $P_4(s)$ is the standard state of phosphorus)
$P_4(s) + 10 Cl_2(g) \rightarrow 4 PCl_5(s)$ $\Delta H^{\circ} = -1774.0$ kJ $PCl_3(g) + Cl_2(g) \rightarrow PCl_5(s)$ $\Delta H^{\circ} = -156.5$ kJ
-287.0 +1517.5 +287.0 -1517.5 +474.0

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Problem 56661

Question 2 What happens to total peripheral resistance during exercise? Decreases because increased $CO2$ near muscles decreases local arteriole resistance Increases because arterioles near muscles vasodilate Increases because the sympathetic nervous system is activated Decreases because all the arterioles in the body vasodilate

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Problem 56662

Perform the indicated operation 14.) $(1+5 i)+(6-i)$

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Problem 56663

For exercises 1-6, write each percent as a fraction in simplest form and as a decimal.
1. $60\%$
2. $22\%$
3. $88\%$
4. $55\%$
5. $90\%$
6. $14\%$

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Problem 56664

For the equation $y=-\frac{x}{5}+2$ a) Complete the table: \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline-5 & $\square$ \\ \hline 0 & $\square$ \\ \hline 5 & $\square$ \\ \hline \end{tabular} b) Use the appropriate tool to graph the given equation.

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Problem 56665

$-4x + 2x^2 - 5x^4$
$20x^7 + 7 + 18x^6$
$-18x^{24} - 18x^{18} + 9x^{17}$
25 points possible 16/25 answered
Question 17
For the following polynomials, identify the degree, the leading term, and the leading coefficient.
degree leading term leading coefficient
Add Work
Next Question

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Problem 56666

$f(x) = \frac{x^2 - 1}{-x^3 - x^2}$
If there is more than one answer, enter your answers as a comma separated list. If there is no solution, enter NONE. Do not leave a blank empty.
(a) The function has x-intercept(s) at $x =$
(b) The function has y-intercept(s) at $y =$
(c) The function has vertical asymptote(s) when $x =$
(d) The function has horizontal asymptote(s) when $y =$
Note: You can earn partial credit on this problem.

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Problem 56667

Find all zeros of $f(x)=x^{3}-4 x^{2}-5 x+14$ . Enter the zeros separated by commas. Enter exact value, not decimal approximations.

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Problem 56668

Kathy has a checking account in a bank that requires an average daily balance of $\$ 300$ in order to avoid a $\$ 10$ monthly fee. If the average daily balance is above $\$ 300$ , then a monthly interest payment equal to $1.4 \%$ of the average balance will be added to the account. Kathy's daily balance, in dollars, over the month can be modeled as $f(t)=\frac{1}{160} t^{3}-\frac{3}{20} t^{2}+\frac{1}{4} t+285,0 \leq t \leq 30 .$ (a) Kathy's average daily balance over the month is $\$$ $\square$ (Use an integer.) (a) Since Kathy's dally average balance is $\square$ -Selectthan $\$ 300$ , she $\square$ - Selectpay the $\$ 10$ fee. Hint: Follow Example 8.

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Problem 56669

Find the area of this square. 5 yd

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Problem 56670

plus $\$ 25$ for each charm. The equation $-25 x+y=65$ (in dollars) of the bracelet, represents the cost $y$ (in of charms. where $x$ is the number a. Graph the equation. b. How much does a bracelet with three charms cost? 2,

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Problem 56671

13. III To throw a discus, the thrower holds it with a fully outstretched arm. Starting from rest, he begins to turn with a constant angular acceleration, releasing the discus after making one complete revolution. The diameter of the circle in which the discus moves is about 1.8 m . If the thrower takes 1.0 s to complete one revolution, starting from rest, what will be the speed of the discus at release?

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Problem 56672

c. $y = -2|x - 2| + 4$ $(2, 4)$ Domain: $(-\infty, \infty)$ Range: $(-\infty, 4]$

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Problem 56673

1-10. Place the correct letter corresponding to each integer on the number line below. \begin{tabular}{|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|l|} \\ \hline & & & & & & & & & & & & & & & & & & \\ \hline \end{tabular} $-10$ \begin{tabular}{|c|c|c|c|c|c|} \hline A. -5 & B. +2 & C. -7 & D. 4 & E. -9 \\ \hline F. -1 & G. +6 & H. -3 & I. 0 & J. -6 \\ \hline \end{tabular}
Write an integer to represent each situation. \begin{tabular}{|l|l|l|l|l|l|l|l|} \hline 11. & lost $\$ 72$ & & 12. & gained 8 yards & & 13. & fell 16 degrees \\ \hline \end{tabular}
Name the opposite of each integer. \begin{tabular}{|r|c|r|c|c|c|c|c|} \hline Name the opposite of each integer. \\ \hline 14. & 26 & & 15. & -83 & & 16 & +100 \\ \hline \end{tabular}
Compare the following integers. Write $<,>$ , or $=$ .
Write true or false. \begin{tabular}{|c|c|l|l|c|l|c|c|} \hline 29. & $-3>-7$ & & 30. & $9>-1$ & & 31 & $-6>-2$ \\ \hline 32. & $|-5|<-5$ & & 33. & $|-8|=|8|$ & & 34. & $-5<-6$ \\ \hline \end{tabular}
35. List the following temperatures from greatest to least. \begin{tabular}{|c|l|} \hline A & The temperature was 25 degrees Fahrenheit below zero. \\ \hline B & The pool temperature was 78 degrees Fahrenheit. \\ \hline C & Water freezes at 32 degrees Fahrenheit. \\ \hline D & The low temperature in December is -3 degrees Fahrenheit. \\ \hline E & The temperature in the refrigerator was 34 degrees Fahrenheit. \\ \hline \end{tabular}

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Problem 56674

Apps Dashboard... Blackbonard Content learn-us-east-1-pro...
Finding the Domain and Range of a Graph Determine the domain and range for the graph below. Write your answer in interval notation.
Domain written in interval notation: Range written in interval notation: $[0,4]$ [0,3] $\square$ $\square$ Submit Question

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Problem 56675

A rectangular room has a perimeter of 70 m and is 20 m long. Find the width.

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Problem 56676

Simplify: $\frac{x^{2}-x-12}{9-x} \div \frac{x+3}{x+4}$
0:00
Select one: a. $\frac{x^{2}-16}{9-x}$ b. $9-x$ c. $\frac{-x^{2}-6 x+9}{9-x}$ d. $\frac{9-x}{x^{2}-16}$

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Problem 56677

This is similar to Section 4.5 Problem 18:
Determine the indefinite integral $\int \frac{12 x^{2}}{\left(x^{3}+4\right)^{2}} d x$ by substitution. (It is recommended that you check your results by differentiation.) Use capital C for the free constant.
Answer: $\square$
Hint: Follow Example 6.

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Problem 56678

Get a similar question You can retry this question below
Simplify $\frac{\sec (x) \cos (x)}{\sin (x)}$ to a single trigonometric function. $\tan (x)$

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Problem 56679

Determine the indefinite integral $\int \frac{36 x^{5}}{x^{6}+5} d x$ by substitution. (It is recommended that you check your results by differentiation.) Use capital C for the free constant.
Answer: $\square$
Hint: Follow Example 6.

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Problem 56680

e for x : $3125^{x+3}=25^{3 x-1}$ Attempt 1 out of 2

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Problem 56681

tion list restion 14 vestion 15
Find the zerrs of the function aloworracally. $f(x)=3 x^{2}-x+2$
The zeros are $\square$ . (Sinclly your answer: Type an exact answer, using radicals and ias needed. Use inte

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Problem 56682

for x : $\left(\frac{1}{125}\right)^{-5 x+1}=\left(\frac{1}{25}\right)^{-x-5}$ Attempt 1 out of 2

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Problem 56683

(c) $14m \div (-2m)=$

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Problem 56684

Determine the indefinite integral $\int \frac{4}{7 x-8} d x$ by substitution. Assume $u>0$ when $\ln (u)$ appears. (It is recommended that you check your results by differentiation.) Use capital C for the f
Answer: $\square$
Hint: Follow Examples 5 and 6. Submit Answer

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Problem 56685

What is the measure of an interior angle in a regular triangle? Write your answer as an integer or as a decimal rounded to the nearest tenth.

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Problem 56686

3. Tricia surveys students in her computer class about time spent on computers by students in her school. Will the survey results from this sample support a valid inference? Explain.

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Problem 56687

A report asked people who got their news from television which television sector they relied on primarily for their news: local TV, network TV, or cable TV. The results were used to generate the data in the table below. Determine whether being female is independent of choice of local TV. Explain your answer in the context of this problem. \begin{tabular}{|c|c|c|c|c|} \hline & Local TV & Network TV & Cable TV & Total \\ \hline Men & 67 & 49 & 55 & \\ \hline Women & 85 & 55 & 56 & \\ \hline Total & & & & \\ \hline \end{tabular}
Since $\square$ $=$ $\square$ \% and $\square$ $=$ $\square$ $\%$ , the events $\square$ independent. (Type integers or decimals rounded to one decimal place as needed.)

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Problem 56688

9. $\tan \left(\frac{7 \pi}{12}\right)$

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Problem 56689

4. Caleb is comparing the growth of plants using two different fertilizers.
Group A Group B
1 2 3 4 5 Growth (inches)
Part A Use the measures of center from the box plots to make an inference about the data.

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Problem 56690

A school principal wants to know what theme students prefer for the spring dance. There are 150 students in 6th grade, 200 students in 7th grade, and 187 students in 8th grade. Select all the representative samples that can help the principal draw conclusions about which themes the students prefer. The students in the 7th grade homerooms The same number of students from each grade whose names are randomly selected from a hat The members of student council Students who attended the winter dance 50 sixth graders, 67 seventh graders, and 62 eighth graders Assessment, Form A

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Problem 56691

4.02 Percent Increase and decrease
3. The price of a phone was increased by $16\%$ and then reduced by $10\%$ . What was the overall percentage increase? Enter your next step here

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Problem 56692

This is Section 4.5 Problem 58: Evaluate the definite integral $\int_{0}^{1} 3 r^{2} e^{r^{3}} d r$ by the following: (a) Determine the indefinite integral $\int 3 r^{2} e^{r^{3}} d r$ by substitution. (It is recommended that you check your results by differentiation.) Use capital C for the free constant.
Answer: $\square$ (b) The exact value of the definite integral is $\square$ .

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Problem 56693

This is Section 4.5 Problem 66: Evaluate the definite integral $\int_{2}^{10} \frac{1}{\sqrt{5 x-1}} d x$ by the following: (a) Determine the indefinite integral $\int \frac{1}{\sqrt{5 x-1}} d x$ by substitution. (It is recommended that you check your results by differentiation.) Use capital C for the free constant.
Answer: $\square$ (b) The exact value of the definite integral is $\square$

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Problem 56694

(1 point)
Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves $x=y^{2}$ and $x=1$ about the line $x=1$ . Volume $=$ $\square$

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Problem 56695

Evaluate the integral by making the given substitution. (Use $C$ for the constant of integration.) $\int e^{-5 x} d x, \quad u=-5 x$

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Problem 56696

1. Je suis l'ensemble qui comporte les nombres qu'on ne peut pas écrire sous la forme d'une fraction.
2. Je suis l'ensemble qui comporte les nombres dontla partie décimale est limitée ou illimitée périodique.
3. Je suis lensemble qui comporte les nombres dont la partie décimale est limitće.
4. Je suis l'ensemble des nombres entiers positifs.
5. Je suis l'ensemble des nombres rationnels et irrationnels.
6. Les entiers négatifs font partie de cet ensemble.

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Problem 56697

To estimate the height of a building, a student finds the angle of elevation from a point (at ground level) down the street from the building to the top of the building is $38^\circ$ . From a point that is 350 feet closer to the building, the angle of elevation (at ground level) to the top of the building is $57^\circ$ . If we assume that the street is level, use this information to estimate the height of the building.
Round your answer to the nearest whole number.
The height of the building is _______ feet.

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Problem 56698

A recent poll asked respondents to fill in the blank to this question: "The country $\qquad$ when it comes to giving equal rights to women" with one of three choices. The results are shown in the accompanying table using a sample size of 80 men and 80 women. Complete parts a and b below. \begin{tabular}{|l|c|c|c|c|} \hline & \begin{tabular}{c} Hasn't Gone \\ Far Enough \end{tabular} & \begin{tabular}{c} Has Been \\ About Right \end{tabular} & \begin{tabular}{c} Has Gone \\ Too Far \end{tabular} & Total \\ \hline Men & 33 & 35 & 12 & 80 \\ \hline Women & 43 & 29 & 8 & 80 \\ \hline Total & 76 & 64 & 20 & 160 \\ \hline \end{tabular} A. P(male and responded "hasn't gone far enough") B. P(hasn't gone far enough | male) C. $P$ (male I hasn't gone far enough) b. Find the probability that a person randomly selected from only the men in this group responded "hasn't gone far enough."
The probability is $\square$ (Simplify your answer.)

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Problem 56699

If $u=f(x)$ , then $d u=f^{\prime}(x) d x$ , and so it is helpful to look for some expression in $\int e^{x} \sqrt{36+e^{x}} d x$ for which the derivative is also present.
We see that $36+e^{x}$ is part of this integral, and the derivative of $36+e^{x}$ is $\square$ , which is also present. Submit Skip (you cannot come back)

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Problem 56700

Question Compute the exact value of $\tan\left(\frac{19\pi}{12}\right)$ .
Provide your answer below:
Content attribution FEEDBACK MORE INSTRUCTION

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Math

Problem 56601

Identify the compound with atoms that have an incomplete octet. A) ICl5ICl_5ICl5​ B) CO2CO_2CO2​ C) BF3BF_3BF3​ D) Cl2Cl_2Cl2​ E) COCOCO

Problem 56602

Consider the following. f(x)=x4−3x2−4f(x)=x^{4}-3 x^{2}-4f(x)=x4−3x2−4Find all the zeros of the function. (Enter your answers as a comma-separated li x=x=x= □\square□

Problem 56603

Factor the binomial completely. 27−m327-m^{3}27−m3

Problem 56604

2) lim⁡x→1ln⁡x2x2−1\lim_{x \to 1} \frac{\ln{x^2}}{x^2 - 1}limx→1​x2−1lnx2​

Problem 56605

3) log⁡(x2+1)−x=03)\ \log{(x^2+1)}-x=03) log(x2+1)−x=0

Problem 56606

Directions: Write the ratio in simplest form.1. 28 elementary schools to 16 middle schools2. 30 treadmills to 36 elliptical machines3. 18 buses to 66 cars4. 180 red marbles to 145 blue marbles

Problem 56607

Area under a Curve30. Find the first-quadrant area bounded by the curve y=x2+1y=x^{2}+1y=x2+1, the yyy-axis, and the lines yyy =3=3=3 and y=6y=6y=6.

Problem 56608

The vectors u\mathbf{u}u and v\mathbf{v}v have the same direction. a. Find ∥u∥\|\mathbf{u}\|∥u∥. b. Find ∥v∥\|v\|∥v∥. c. Is u=v\mathbf{u}=\mathbf{v}u=v ? Explain. a. ∥u∥=\|\mathbf{u}\|=∥u∥= □\square□ (Simplify your answer. Type an exact answer, using radicals as needed.)

Problem 56609

Question 3Find the average rate of change of the function f(x)=73x+6f(x)=\frac{7}{3 x+6}f(x)=3x+67​, on the interval x∈[3,5]x \in[3,5]x∈[3,5]. Average rate of change === □\square□ Give an exact answer. Submit Question

Problem 56610

13−2×3+23+2\frac{1}{\sqrt{3} - 2} \times \frac{\sqrt{3} + 2}{\sqrt{3} + 2}3​−21​×3​+23​+2​

Problem 56611

10. (7x+3)−(x+9) (7x + 3) - (x + 9) (7x+3)−(x+9)

Problem 56612

Problem 56613

nnn is directly proportional to www.n=54n = 54n=54 when w=9w = 9w=9a) Use the information above to write an equation for nnn in terms of www.b) What is the value of nnn when w=13w = 13w=13?Give any decimal answers to 1 d.p.

Problem 56614

This scatter graph shows some people's scores in two games of bowling. The scores from the two games were added together.What was the highest total score?Bowling scoresGame 2 100 90 80 70 60 50 0 50 60 70 80 90 100 Game 1

Problem 56615

11. [5 marks] Find the absolute extrema of f(x)=x3−12xf(x) = x^3 - 12xf(x)=x3−12x on [−1,3][-1, 3][−1,3]. f′(x)=3x2−12f'(x) = 3x^2 - 12f′(x)=3x2−12 3(x2−4)3(x^2 - 4)3(x2−4) (x−2)(x+2)(x-2)(x+2)(x−2)(x+2) 2 f(2)f(2)f(2) f(−1)f(-1)f(−1) f(3)f(3)f(3)

Problem 56616

Problem 56617

Problem 56618

8. Factor completely. (a) 3x2−x−143x^2 - x - 143x2−x−14 (b) 20x2+11x−320x^2 + 11x - 320x2+11x−3 (c) 6x2+17x+126x^2 + 17x + 126x2+17x+12 (d) 12x2−11x+212x^2 - 11x + 212x2−11x+2

Problem 56619

Which of the following is the graph of this function rule? y=2x3−2y = \frac{2x}{3} - 2y=32x​−2

Problem 56620

Solve the following system of equations. −3x+y=17-3x+y=17−3x+y=17 7x+y=−237x+y=-237x+y=−23 x=x=x= y=y=y=

Problem 56621

8. How long does it take a 720 Watt electric drill to transform 45,000 J of energy? [2 marks] W=720WW = 720 WW=720W tW=95,000t_W = 95,000tW​=95,000 Et=W×tE_t = W \times tEt​=W×t t=62.5st = 62.5 st=62.5s 45000=720t72045000 = \frac{720t}{720}45000=720720t​

Problem 56622

Problem 56623

Problem 56624

The right triangle on the right is a scaled copy of the right triangle on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form.

Problem 56625

13. −60=x−16−60+□=x−16+\begin{aligned} -60 & =x-16 \\ -60+\square & =x-16+ \end{aligned}−60−60+□​=x−16=x−16+​

Problem 56626

Problem 56627

Problem 56628

1 Fill in the Blank 1 point An equation is shown. (278)−23=ab(\frac{27}{8})^{-\frac{2}{3}} = \frac{a}{b}(827​)−32​=ba​ Find the value of each variable. a = type your answer... b = type your answer...

Problem 56629

Problem 56630

12. Marco has 2182 \frac{1}{8}281​ bags of soil to put in his garden. Each bag of soil will cover 7825ft278 \frac{2}{5} \mathrm{ft}^{2}7852​ft2. How many square feet will Marco be able to cover if he uses all these bags of soil?

Problem 56631

Question Watch Video Show Examples As a fraction in simplest terms, what would you multiply the first number by to get the second? First number: 5 Second number: 4 Answer Attempt 1 out of 20 5⋅0=45 \cdot \boxed{\phantom{0}} = 45⋅0​=4 Submit Answer

Problem 56632

Problem 56633

Which of the following is NOT displayed within the tile design? DILATION ROTATION REFLECTION TRANSLATION

Problem 56634

Problem 56635

A cone with a base having a radius of 10 inches has a volume of 261.67 cubic inches. What is the approximate height of the cone? 2.0 inches 2.5 inches 4.5 inches 5.0 inches

Problem 56636

Suppose that the functions fff and ggg are defined as follows. f(x)=x−5f(x) = x-5f(x)=x−5 g(x)=3x−4g(x) = \sqrt{3x-4}g(x)=3x−4​Find fg\frac{f}{g}gf​ and f+gf+gf+g. Then, give their domains using interval notation.

Problem 56637

a) 7q−2⋅2q−4q+4\frac{7}{q-2} \cdot \frac{2 q-4}{q+4}q−27​⋅q+42q−4​

Problem 56638

For the region formed by the functions f(x)=x2−2x−2f(x)=x^{2}-2 x-2f(x)=x2−2x−2 and g(x)=5g(x)=5g(x)=5 on the interval [−1,2][-1,2][−1,2], use definite integrals to find the area of the region. Answer: The area is □\square□ Hint: Follow Example 2.

Problem 56639

Solve the system if possible by using Cramer's rule. If Cramer's rule does not apply, solve the system by using another method. Write all numbers as integers or simplified fractions. −10x−3y=174x−9y=8\begin{array}{r} -10 x-3 y=17 \\ 4 x-9 y=8 \end{array}−10x−3y=174x−9y=8​

Problem 56640

Problem 56641

Find the amount that results from the given investment. $300\$ 300$300 invested at 5\% compounded daily after a period of 4 yearsAfter 4 years, the investment results in \ \square$ . (Round to the nearest cent as needed.)

Problem 56642

15. (2x−7)(x+5)=0(2 x-7)(x+5)=0(2x−7)(x+5)=0

Problem 56643

Write the Maclaurin series for f(x)=5x2e−2xf(x) = 5x^2 e^{-2x}f(x)=5x2e−2x as ∑n=0∞cnxn\sum_{n=0}^{\infty} c_n x^n∑n=0∞​cn​xn.Find the first six coefficients.c0=c_0 = c0​= c1=c_1 = c1​= c2=c_2 = c2​= c3=c_3 = c3​= c4=c_4 = c4​= c5=c_5 = c5​=

Problem 56644

This is Section 4.4 Problem 46: For the function f(x)=x2−2x+1f(x)=x^{2}-2 x+1f(x)=x2−2x+1 on the interval [0,2][0,2][0,2], the average value of fff is is □\square□ . (Use a fraction.)Hint: Follow Exämple 6. □\square□

Problem 56645

Problem 56646

Identify the compound with atoms that have an incomplete octet. A) $ICl_5$ B) $CO_2$ C) $BF_3$ D) $Cl_2$ E) $CO$

Consider the following. $f(x)=x^{4}-3 x^{2}-4$
Find all the zeros of the function. (Enter your answers as a comma-separated li $x=$ $\square$

Factor the binomial completely. $27-m^{3}$

2) $\lim_{x \to 1} \frac{\ln{x^2}}{x^2 - 1}$

$3)\ \log{(x^2+1)}-x=0$

Directions: Write the ratio in simplest form.
1. 28 elementary schools to 16 middle schools
2. 30 treadmills to 36 elliptical machines
3. 18 buses to 66 cars
4. 180 red marbles to 145 blue marbles

Area under a Curve
30. Find the first-quadrant area bounded by the curve $y=x^{2}+1$ , the $y$ -axis, and the lines $y$ $=3$ and $y=6$ .

The vectors $\mathbf{u}$ and $\mathbf{v}$ have the same direction. a. Find $\|\mathbf{u}\|$ . b. Find $\|v\|$ . c. Is $\mathbf{u}=\mathbf{v}$ ? Explain. a. $\|\mathbf{u}\|=$ $\square$ (Simplify your answer. Type an exact answer, using radicals as needed.)

Question 3
Find the average rate of change of the function $f(x)=\frac{7}{3 x+6}$ , on the interval $x \in[3,5]$ . Average rate of change $=$ $\square$ Give an exact answer. Submit Question

$\frac{1}{\sqrt{3} - 2} \times \frac{\sqrt{3} + 2}{\sqrt{3} + 2}$

10. $(7x + 3) - (x + 9)$

$n$ is directly proportional to $w$ .
$n = 54$ when $w = 9$
a) Use the information above to write an equation for $n$ in terms of $w$ .
b) What is the value of $n$ when $w = 13$ ?
Give any decimal answers to 1 d.p.

This scatter graph shows some people's scores in two games of bowling. The scores from the two games were added together.
What was the highest total score?
Bowling scores
Game 2 100 90 80 70 60 50 0 50 60 70 80 90 100 Game 1

11. [5 marks] Find the absolute extrema of $f(x) = x^3 - 12x$ on $[-1, 3]$ . $f'(x) = 3x^2 - 12$ $3(x^2 - 4)$ $(x-2)(x+2)$ 2 $f(2)$ $f(-1)$ $f(3)$

8. Factor completely. (a) $3x^2 - x - 14$ (b) $20x^2 + 11x - 3$ (c) $6x^2 + 17x + 12$ (d) $12x^2 - 11x + 2$

Which of the following is the graph of this function rule? $y = \frac{2x}{3} - 2$

Solve the following system of equations. $-3x+y=17$ $7x+y=-23$ $x=$ $y=$

8. How long does it take a 720 Watt electric drill to transform 45,000 J of energy? [2 marks] $W = 720 W$ $t_W = 95,000$ $E_t = W \times t$ $t = 62.5 s$ $45000 = \frac{720t}{720}$

13. $\begin{aligned} -60 & =x-16 \\ -60+\square & =x-16+ \end{aligned}$

1 Fill in the Blank 1 point An equation is shown. $(\frac{27}{8})^{-\frac{2}{3}} = \frac{a}{b}$ Find the value of each variable. a = type your answer... b = type your answer...

12. Marco has $2 \frac{1}{8}$ bags of soil to put in his garden. Each bag of soil will cover $78 \frac{2}{5} \mathrm{ft}^{2}$ . How many square feet will Marco be able to cover if he uses all these bags of soil?

Question Watch Video Show Examples As a fraction in simplest terms, what would you multiply the first number by to get the second? First number: 5 Second number: 4 Answer Attempt 1 out of 20 $5 \cdot \boxed{\phantom{0}} = 4$ Submit Answer

Suppose that the functions $f$ and $g$ are defined as follows. $f(x) = x-5$ $g(x) = \sqrt{3x-4}$
Find $\frac{f}{g}$ and $f+g$ . Then, give their domains using interval notation.

a) $\frac{7}{q-2} \cdot \frac{2 q-4}{q+4}$

For the region formed by the functions $f(x)=x^{2}-2 x-2$ and $g(x)=5$ on the interval $[-1,2]$ , use definite integrals to find the area of the region. Answer: The area is $\square$ Hint: Follow Example 2.

Solve the system if possible by using Cramer's rule. If Cramer's rule does not apply, solve the system by using another method. Write all numbers as integers or simplified fractions. $\begin{array}{r} -10 x-3 y=17 \\ 4 x-9 y=8 \end{array}$

Find the amount that results from the given investment. $\$ 300$ invested at 5\% compounded daily after a period of 4 years
After 4 years, the investment results in \\square$ . (Round to the nearest cent as needed.)

15. $(2 x-7)(x+5)=0$

Write the Maclaurin series for $f(x) = 5x^2 e^{-2x}$ as $\sum_{n=0}^{\infty} c_n x^n$ .
Find the first six coefficients.
$c_0 =$ $c_1 =$ $c_2 =$ $c_3 =$ $c_4 =$ $c_5 =$

This is Section 4.4 Problem 46: For the function $f(x)=x^{2}-2 x+1$ on the interval $[0,2]$ , the average value of $f$ is is $\square$ . (Use a fraction.)
Hint: Follow Exämple 6. $\square$

The length of a rectangular room is 5 feet greater than its width. Which of the following equations represents the area ( $A$ ) of the room? - $A=x(x+5)$ $A=x+(x+5)$ $A=5 x$ $A=2 x+2(x+5)$

10. [-/1 Points] DETAILS MY NOTES AUFBALG8 5.4.022.
Use the slope-intercept form $y = mx + b$ .
Find the equation of the line that contains the point whose coordinates are $(-1, 2)$ and has slope $-\frac{1}{2}$ . Need Help? Watch It Additional Materials

Graph: $\begin{cases} y > \frac{1}{2}x - 2 \\ y < -4x + 1 \end{cases}$

Write an equivalent expression by expanding $-5(-2d+6)$ .
$-5(-2d+6) = \boxed{\phantom{10}}d - \boxed{\phantom{30}}$

Write an equivalent expression by expanding $-5(-2d+6)$ .
$-5(-2d+6) = \boxed{\phantom{10}}d - \boxed{?}$

Perform the indicated operation 14.) $(1+5 i)+(6-i)$

For exercises 1-6, write each percent as a fraction in simplest form and as a decimal.
1. $60\%$
2. $22\%$
3. $88\%$
4. $55\%$
5. $90\%$
6. $14\%$

For the equation $y=-\frac{x}{5}+2$ a) Complete the table: \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline-5 & $\square$ \\ \hline 0 & $\square$ \\ \hline 5 & $\square$ \\ \hline \end{tabular} b) Use the appropriate tool to graph the given equation.

Find all zeros of $f(x)=x^{3}-4 x^{2}-5 x+14$ . Enter the zeros separated by commas. Enter exact value, not decimal approximations.

plus $\$ 25$ for each charm. The equation $-25 x+y=65$ (in dollars) of the bracelet, represents the cost $y$ (in of charms. where $x$ is the number a. Graph the equation. b. How much does a bracelet with three charms cost? 2,

c. $y = -2|x - 2| + 4$ $(2, 4)$ Domain: $(-\infty, \infty)$ Range: $(-\infty, 4]$