Browse Algebra problems Studdy Solved!

Problem 28301

Suppose $f(x)=16(6)^{x}$ and $g(x)=54(12.3)^{x}$ . Solve for $a$ and $b$ in the following equations. Remember that the answerbox is a calculator, so you can type calculations directly into the answerbox.
1. If $f(a)=116$ , then $a=\log _{6}(7.25)$
2. If $f(b)=g(b)$ , then $b=$ $\square$

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Problem 28302

Translate this phrase into an algebraic expression. 19 more than twice Janelle's savings Use the variable $j$ to represent Janelle's savings. $\square$ $+\square$ ㅁ-ロ $\times \square$

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Problem 28303

A small bag of flour weighed 26 ounces. A large bag was 15 percent heavier. How much does the large bag weigh?

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Problem 28304

Solve for $d$ .
$d^2 - 121 = 0$
Write your answers as integers or as proper or improper fractions in simplest form.
$d =$ or $d =$
Submit

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Problem 28305

For an experiment you need to prepare 407 mL of a working solution that contains 622 mM NaCl (molecular mass 58.4 g/mol), 0.85 % w/v glucose (molecular mass 180 g/mol) and 100 µg/mL Penicillin (stock solution 100 mg/mL). You therefore need: Answer: Amount of NaCl = ___ g Answer: Amount of glucose = _ g Answer: Amount of Penicillin = _ μL
How many mmoles of NaCl does this working solution contain? Answer: Number of millimoles of NaCl in the working solution = _ mmoles
What is the molar concentration of glucose in this working solution? Answer: Molar concentration of glucose = _ mM
In the experiment, you add 40 μL of the working solution to exactly 360 μL of water. What is the concentration of NaCl and glucose, respectively, in this solution? Answer: Concentration of NaCl = _ mM Answer: Concentration of Glucose = _____ mM

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Problem 28306

Solve for $q$ .
$q^2 + 12 = 76$
Write your answers as integers or as proper or improper fractions in simplest form.
$q =$ or $q =$
Submit

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Problem 28307

4.) Leo spent less than $\$ 50$ on pizza for friends. He purchased 4 large pizzas. He says the cost of each pizza, p, in dollars, can be represented by the inequality statement $4 p<50$ . What is the solution to this inequality and what does it mean in that context? a) The solution is $p=12.5$ and it means each pizza costs $\$ 12.50$ . b) The solution is $p<12.5$ and it means each pizza costs less than \ $12.50. c) The solution is$ p>12.5 $and it means each pizza costs more than \$12.50. d) The solution is$ p<46 $and it means each pizza costs less than$ \ $46$ .

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Problem 28308

In Exercises 1-4, solve the equation using square roots. Check your solution(s).
1. $w^{2}-22 w+121=81$
2. $k^{2}-16 k+64=-8$
3. $t^{2}-30 t+225=-24$
4. $9 p^{2}+6 p+1=12$

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Problem 28309

Question 9
This question has two parts. First, answer Part A. Then, answer Part B. Part A a. Find the related function for $-x+3=6$ . Then graph the related function on a separate sheet of paper. $f(x)=$
Select Choice

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Problem 28310

$S + \frac{17}{6} = \frac{57}{7}$

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Problem 28311

Find the $x$ -and $y$ -intercepts of the graph of the linear equation $2 x+3 y=12$
The $x$ -intercept is $\square$ 7.
The $y$ -intercept is $\square$

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Problem 28312

MY NOTES TANAPCALCBR10 4.4.010.MI. ASK YOUR TEACHER PRACTICE ANOTHER
Find the absolute maximum value and the absolute minimum value, if any, of the function. (If an answer does not exist, enter DNE.) $g(x)=-x^{2}+4 x+7$ maximum $\square$ minimum $\square$ Need Help? Read It Master It

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Problem 28313

A 55-kg box rests on a horizontal surface. The coefficient of static friction between the box and the surface is 0.30 . A $140-\mathrm{N}$ force is applied to the box. What is the frictional force on the box?

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Problem 28314

Simplify. $\left(-6 w v^{2}\right)^{2}$
Write your answer without parentheses.

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Problem 28315

Add. $\frac{7}{4x} + \frac{x-5}{6x^2}$
Select the correct choice below and fill in any answer boxes within your choice. (Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.)
A. $\frac{7}{4x} + \frac{x-5}{6x^2} =$ $\quad$ , $x \ne$ $\quad$ B. $\frac{7}{4x} + \frac{x-5}{6x^2} =$ $\quad$ , no numbers must be excluded.

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Problem 28316

This is the graph of a linear inequality. Write the inequality in slope-intercept form.
Write your answer with y first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form. $\square$

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Problem 28317

Factor.
$65t^2 + 60t - 20t^3$
Suggested tutorial: Learn It: Factor polynomials completely. Need Help? Watch It Additional Materials

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Problem 28318

After four rounds, 74 teams are eliminated from a robotics competition. There are 18 teams remaining. Write and solve an equation to find the number of teams $t$ that started the competition.
An equation that represents this situation is .
Number of teams that started the competition:

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Problem 28319

Solve for the roots in simplest form by completing the square: $-4 x^{2}+32 x+0=0$
Answer Attempt 1 out of 3

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Problem 28320

In the figure, an airport luggage carrying train with a tractor (T) is pulling three luggage carts, $M_1$ , $M_2$ , and $M_3$ , with constant velocity of $4.5$ m/s. If $T = 50$ kg, $M_1 = 40$ kg, $M_2 = 15$ kg, and $M_3 = 10$ kg (there is no friction), then the force in the connection between the tractor (T) and cart $M_1$ is:

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Problem 28321

10 Multiple Choice 1 point In a parking garage, there are 5 cars for every 4 SUVs. Based on this ratio, how many cars and SUVs could be in the parking garage? 80 SUVs and 64 cars 72 SUVs and 90 cars 25 SUVs and 15 cars 84 SUVs and 126 cars

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Problem 28322

Kinetic energy varies jointly as the mass and the square of the velocity. A mass of 6 grams and velocity of 3 centimeters per second has a kinetic energy of 27 ergs. Find the kinetic energy for a mass of 2 grams and velocity of 6 centimeters per second.
A mass of 2 grams and velocity of 6 centimeters per second has a kinetic energy of $\boxed{}$ ergs.

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Problem 28323

For $f(x)=8 x-7$ and $g(x)=\frac{x+7}{8}$ , find the following functions. a. $(f \circ g)(x) ; b .(g \circ f)(x) ;$ c. $(f \circ g)(6) ; d .(g \circ f)(6)$ a. $(f \circ g)(x)=$ $\square$ (Simplify your answer.) b. $(g \circ f)(x)=$ $\square$ (Simplify your answer.) c. $(f \circ g)(6)=$ $\square$ d. $(g \circ f)(6)=$ $\square$

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Problem 28324

Simplify. $\sqrt[3]{(-3)^{3}}$

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Problem 28325

Find the $x$ -intercepts of $f(x)$ , which is a second-degree polynomial function with zeros at $x=4$ and $x=6$ such that $f(-3)=4$ . Write $f(x)$ in standard form.
Show your work here
Hint: To add an exponent $\left(x^{y}\right)$ , type "exponent" or press ${ }^{-A}$

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Problem 28326

$b^5 \cdot b^3$ $\left( \frac{r^2}{s^4} \right)^3$ $\frac{(10mn)^2}{(3rt)^2}$ $(m^3)^5$ $(3xy)^3$ $(4abc)^2$ $[(x^2)^3 ]^2$ $\left( \frac{az^2}{igj} \right)^2$ $a^2 ab^4 bcc^6 da^3$ $4x^2 y(x^2 y)^3$ $\left( \frac{x}{y} \right)^3 \left( \frac{2x}{y} \right)^4 \left( \frac{x}{y^3} \right)^2$ $(12x^2 y^3)^4$ ACTIVITY: Apply the laws of exponents and simplify. Assume all denominators are not equal to zero.

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Problem 28327

$(y+8)^{2}$

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Problem 28328

Math 1414 Final Exam Review Question 20 of 25 (1 point) I Question Attempt: 1 of Unilmited
The isotope of plutonium ${ }^{238} \mathrm{Pu}$ is used to make thermoelectric power sources for spacecraft. Suppose that a space probe was launched in 2012 with 2.5 kg of ${ }^{238} \mathrm{Pu}$ .
Part: $0 / 2$
Part 1 of 2 (a) If the half-life of ${ }^{238} \mathrm{Pu}$ is 87.7 yr , write a function of the form $Q(t)=Q_{0} e^{-k t}$ to model the quantity $Q(t)$ of ${ }^{238} \mathrm{Pu}$ left after $t$ years. Round the value of $k$ to five decimal places. Do not round intermediate calculations. $Q(t)=$ $\square$ $\square$ Skip Part Check Save For Later Submit Assi - 2024 McGraw Hill LLC. All Rights Reserved. Terms of Use I Privacy Center

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Problem 28329

On the set of axes below, solve the following system of equations graphically and state the coordinates of all points in the solution set. $\begin{array}{c} y=-x^{2}-6 x-5 \\ 6 x-3 y=-21 \end{array}$
You can move the parabola by dragging the dots. Graph the line by clicking twice.

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Problem 28330

Identifying equivalent algebraic expressions
For each expression, select all equivalent expressions from the list.
(a) $6x+42$ $6 \cdot x + 6 \cdot 7$ $6(x+7)$ $48x$ $6(7x+1)$
(b) $12+10y-7-y$ $5y+9$ $5y+9y$ $9+5y$ $9y+5$

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Problem 28331

$(8x^2 + 34x + 25) \div (2x+7)$
Your answer should give the quotient and the remainder.

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Problem 28332

Write the quadratic equation in standard form: $-3 x+2=4 x^{2}$
Answer Attempt 1 out of 3 $\square$ Submit Answer

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Problem 28333

Watch V
Write the quadratic equation in standard form: $-2 x^{2}+6 x+16=-4$
Answer Attempt 1 out of 3 $\square$ Submit Answer

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Problem 28334

Write the quadratic equation in standard form: $8 x+16+3 x^{2}=x^{2}$
Answer Attempt 1 out of 3
Answer: $\square$ Submit Answer

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Problem 28335

Consider the following functions. $f(x) = \frac{1}{x}$ and $g(x) = x - 1$
Step 2 of 2: Find the formula for $(g \circ f)(x)$ and simplify your answer. Then find the domain for $(g \circ f)(x)$ . Round your answer to two decimal places, if necessary.
Answer 2 Points
$(g \circ f)(x) =$
Domain $=$

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Problem 28336

Write the quadratic equation in standard form: $-4 x+4=1-x^{2}$
Answer Attempt 1 out of 3

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Problem 28337

Given $f(x)=-x^{2}+7 x$ , find $f(-1)$
Answer Attempt 1 out of 3

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Problem 28338

Question Given $f(x)=-4 x^{2}+10 x+13$ , find $f(7)$
Answer Attempt 1 out of 3 $\square$ Submit Ans

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Problem 28339

9. The graph of $f(x) = ax^n + bx^4 + cx^3 + dx^2 + ex + p$ is shown below. Determine whether each of the following statements is true or false.
① $a > 0$ ② $n$ is an odd number. ③ $p = 0$ ④ $n \ge 6$ ⑤ $x = 0$ has a multiplicity of 2 ⑥ $y \to \infty$ as $x \to -\infty$

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Problem 28340

Graph the equation $y=-x^{2}-10 x-24$ on the accompanying set of axes. You must plot 5 points including the roots and the vertex. Using the graph, determine the equation of the axis of symmetry.
Click to plot points. Click points to delete them.

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Problem 28341

7. Jada walks up to a tank of water that can hold up to 12 gallons. When it is active, a drain empties water from the tank at a constant rate. When Jada first sees the tank, it contains 8 gallons of water. Three minutes later, the tank contains 6 gallons of water.
a. At what rate is the amount of water in the tank changing? Use a signed number, and include the unit of measurement in your answer.
b. How many more minutes will it take for the tank to drain completely? Explain or show your reasoning.
c. How many minutes before Jada arrived was the water tank completely full? Explain or show your reasoning.

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Problem 28342

Use synthetic division to determine if the given value for $k$ is a zero of this polynomial. If not, determine $\boldsymbol{p}(\boldsymbol{k})$ . $p(x)=2 x^{3}-4 x^{2}-4 x-13 ; k=4$
Answer
Selecting an option will display any text boxes needed to complete your answer. Is $k$ a zero of this polynomial? Yes No

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Problem 28343

3. Consider two parallel plates $2.00$ mm apart with a potential difference of $240$ V and a positively charged upper plate. A charged oil droplet with a mass of $5.88 \times 10^{-10}$ kg is suspended between the plates. Determine the sign and magnitude of the electric charge on the oil droplet, and calculate the electron deficiency or excess. $0.002$ m

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Problem 28344

Select Function Set 2, $f(x)=\sqrt{x}$ and $g(x)=x^{2}-4$ , and check the Values box. Using the $x$ -slider, set $x=3$ . Complete parts 1 through 3 below. Use the interactive figure to find your answer. Use the left and right arrow keys to move along a slider as needed. Click here to launch the interactive figure.
Part 1: Using the graph of g , evaluate $\mathrm{g}(3)$ . $g(3)=$ $\square$ 5 (Type an integer or decimal rounded to two decimal places as needed.) Part 2: Using the graph of $f$ and the value of $g(3)$ found in Part 1, evaluate $f(g(3))$ . $\mathrm{f}(\mathrm{g}(3))=$ $\square$ (Type an integer or decimal rounded to two decimal places as needed.)

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Problem 28345

Graph the equation $y=x^{2}-4 x+3$ on the accompanying set of axes. You must plot 5 points including the roots and the vertex.
Click to plot points. Click points to delete them.

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Problem 28346

omplete: 79\%
Question Watch Video
Expand the expression to a polynomial in standard form: $\left(3 x^{2}+x-2\right)\left(x^{2}-2 x+8\right)$
Answer Attempt 1 out of 3 $\square$ Submit Answer

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Problem 28347

Question Watch Video
Expand the expression to a polynomial in standard form: $(x+1)(2 x-5)(x-3)$
Answer Attempt 1 out of 3

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Problem 28348

Question Watch Video Show Examples
The difference of the square of a number and 28 is equal to 3 times that number. Find the positive solution.
Answer Attempt 1 out of 3 $\square$ Submit Answer

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Problem 28349

19 A mixture of sand and cement is to be used to plaster a wall. In the original mixture, the ratio of sand to cement by weight is $3:1$ . Given that the weight of sand used is 9 kg, (a) write down the weight, in kg, of cement used in the original mixture. _______ kg (1) It is decided to use the same weight of cement but to change the ratio of sand to cement by weight to $5:1$ for a new mixture. (b) Calculate the weight of sand, in kg, that has to be added to the original mixture to make the new mixture.

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Problem 28350

88\%
Question Watch Video Show Examples
A company sells widgets. The amount of profit, $y$ , made by the company, is related to the selling price of each widget, x , by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit. $y=-3 x^{2}+104 x-423$
Answer Attempt 1 out of 3 $\qquad$ Submit Answer

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Problem 28351

Complete: 89\% in Context rofit/Gravity) vel 2) 1) 2)
Question Watch Video Show Examples
A company sells widgets. The amount of profit, $y$ , made by the company, is related to the selling price of each widget, x , by the given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit. $y=-x^{2}+83 x-620$
Answer Attempt 1 out of 3 $\square$ Submit Answer

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Problem 28352

Solve each equation with the quadratic formula
2) $6x^2 - 9x - 12 = 0$

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Problem 28353

mplete: $93 \%$
Question Complete the square to re-write the quadratic function in vertex form: $y=x^{2}-4 x-7$ Context Answer Attempt 1 out of 3 Gravity) $y=$ $\square$ Submit Answer

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Problem 28354

3) $12v^2 - 6v + 10 = 0$
Solve each equation with the quadratic formula

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Problem 28355

Put the quadratic into vertex form and state the coordinates of the vertex. $y=x^{2}+14 x$
Answer Attempt 1 out of 3
Vertex Form: $y=$ $\square$ Vertex: $\square$ $\square$ Submit Answer

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Problem 28356

$y = -6^{4}$
2. $y \ge 2x^2 + 9x + 10$ $4 \cdot 9$ $24 - 9 - 9 + 10$

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Problem 28357

Translate the following sentence to an equation. Then solve the equation. Twenty-six less a number is equal to the product of 2 and the sum of the number and 7 . Find the number.
The equation is $\square$ (Type an equation using $x$ as the variable. Do not simplify.) The number is $\square$ $\square$ . (Simplify your answer.)

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Problem 28358

Question 3 (1 point) George started a coin collection. His dad gave him 75 coins. Each month he will add 20 coins to the collection.
Write an equation (splope-intercept form) that can be used to find $y$ , the total number of coins in George's collection after $x$ months? $y=20 x+75$ (no spaces)
Blank 1: $y=20 x+75$

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Problem 28359

3) $5n^2 - 12 = 0$

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Problem 28360

Select the correct description of right-hand and left-hand behavior of the graph of the polynomial function. $f(x)=4-5 x+2 x^{2}-5 x^{3}$ Falls to the left, falls to the right Rises to the left, rises to the right Rises to the left, falls to the right Falls to the left, rises to the right Falls to the left

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Problem 28361

Solve $u^2 = 49$ , where $u$ is a real number. Simplify your answer as much as possible. If there is more than one solution, separate them with commas. If there is no solution, click on "No solution". $u = \square$

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Problem 28362

$-5(4)^{-2}-12(4)^{-3}$

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Problem 28363

14. The factorised form of $2 x^{2}+12 x+3 x+18$ is:
A $(x+6)(2 x+3)$ B $(x+6)(x+3)$ C $(x+6)(2 x-3)$ D $(x+6)(x-3)$

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Problem 28364

Complete the table for the given rule. Rule: $y = x + 3$

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Problem 28365

The reduction of iron(III) oxide to iron during steel-making can be summarized by this sequence of reactions: $\begin{array}{ll} 2 \mathrm{C}(s)+\mathrm{O}_{2}(g) \rightleftharpoons 2 \mathrm{CO}(g) & K_{1} \\ \mathrm{Fe}_{2} \mathrm{O}_{3}(s)+3 \mathrm{CO}(g) \rightleftharpoons 2 \mathrm{Fe}(l)+3 \mathrm{CO}_{2}(g) & K_{2} \end{array}$
The net reaction is: $2 \mathrm{Fe}_{2} \mathrm{O}_{3}(s)+6 \mathrm{C}(s)+3 \mathrm{O}_{2}(g) \rightleftharpoons 4 \mathrm{Fe}(l)+6 \mathrm{CO}_{2}(g) \quad K$
Write an equation that gives the overall equilibrium constant $K$ in terms of the equilibrium constants $K_{1}$ and $K_{2}$ . If you need to include any physical constants, be sure you use their standard symbols, which you'll find in the ALEKS Calculator. $K=$ $\square$

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Problem 28366

If a DNA double helix is 100 nucleotide pairs long and contains 25 adenine bases, how many guanine bases does it contain? 50 200 75 150 25

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Problem 28367

A clothing business finds there is a linear relationship between the number of shirts, $n$ , it can sell and the price, $p$ , it can charge per shirt. In particular, historical data shows that 4000 shirts can be sold at a price of $\$ 38$ , while 5000 shirts can be sold at a price of $\$ 32$ . Give a linear equation in the form $p=m n+b$ that gives the price $p$ they can charge for $n$ shirts.
Answer: $p=.004 n+12$
Round the value of your slope to three decimal places. Be, careful to use the proper variable and use the Preview button to check your syntax before you submit your answer.

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Problem 28368

1) Evaluate $\frac{2}{5}k - 3.5$ for $k = 15$ .

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Problem 28369

Question 23 Solve: $2x + 4 < -6$ State your solution as a simple inequality, e.g., $x < A$ or $x > A$ Question Help: Video Submit Question
Question 24 Solve: $-8 - 3x \le -5$ Give your answer as an inequality and reduce any fractions. Question Help: Video Submit Question

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Problem 28370

$3. \ 5x^2 - 11 = 234$

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Problem 28371

Factor the GCF out of the polynomial belo $28 j^{10}+20 j^{9}+4 j^{8}$
Question Help: Video 1 Video 2
Submit Question

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Problem 28372

Solve the equation. $\sqrt{45-6 x}+3=x$
Select the correct choice below and fill in any answer boxes within your choice. A. The solution set is $\square$ \}. (Type an integer or a fraction. Use a comma to separate answers as needed.) B. The solution set is the empty set.

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Problem 28373

Choose the correct answer from those given :
(1) If $f(2) = 4$ , $g(4) = 3$ , then $(g \circ f)(2) =$ ......... (a) 12 (b) 4 (c) 3 (d) 1 Interactive test 1

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Problem 28374

Evaluate problems 24 - 37 by performing the indicated operation and simplifying. Your answers should be expressed without negative exponents.
24. $3^{-2}$
32. $\left(-2 x^{0} y^{3}\right)\left(4 x^{2} y^{4}\right)+\left(2 y^{5}\right)(3 x y)^{2}$
25. $\left(\frac{3}{2}\right)^{-3}$
33. $\left(-2 x^{-2} y^{3}\right)^{-4}$
26. $x \cdot x^{-8}$
34. $\left(2^{3} a\right)^{5}$
27. $x^{12} \div x^{3}$
28. $\frac{p^{2}}{p^{-7}}$
35. $\left(\frac{x^{5}}{y^{5} z^{8}}\right)^{3}$ .
29. $\frac{x^{2}}{x^{-3}}$
36. $\frac{(2 y)^{-3}}{y^{-1} \cdot y^{3}}$
30. $\left(-4 x^{5}\right)\left(-5 x^{3}\right)$
37. $\frac{(3 a)^{-3}}{\left(a^{-5} b^{3}\right)^{-2}}$

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Problem 28375

e the first term is 9 and the third term is $\frac{1}{81}$ . (Why are there two possible answers?) Find the 4 th term in the geometric sequence where the first term is 6 and the 7 th term is $\frac{3}{32}$ .
For the geometric sequence $3, m, n, 192, \ldots$ , find the values for $m$ and $n$ . Find the value of $x$ such that the following sequence forms a geometric progression: $x-1,3 x+4,6 x+8$

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Problem 28376

Question: 10 Look at the system of equations graphed below. .75
What is the solution to the system? A. $x=-2, y=1$ B. $x=-1, y=2$ C. $x=2, y=1$ D. $x=2, y=-1$

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Problem 28377

In Exercises 15-20, write a rule for $g$ and then graph each function. Describe the graph of $g$ as a transformation of the graph of $\boldsymbol{f}$ . Example 3
15. $f(x)=x^{4}+1, g(x)=f(x+2)$
16. $f(x)=x^{6}-3 x^{3}+2, g(x)=f(x)-3$

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Problem 28378

13. (a) Expand $(2 a+3 b)^{2}$ . (b) Hence or otherwise, expand $(2 a+3 b-4 c)^{2}$ .

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Problem 28379

Subtract. $(9 u+6)-(u+1)$

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Problem 28380

$2(4 y-5)=70$
Simplify your answer as much as possible. $y=$

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Problem 28381

Identifying a Rate Table
In an arcade, 12 tickets are awarded for every game won. Which table represents this relationship?
\begin{tabular}{|c|c|} \hline Tickets & \begin{tabular}{c} Games \\ Won \end{tabular} \\ \hline 1 & 12 \\ \hline 2 & 24 \\ \hline 3 & 36 \\ \hline \end{tabular}
\begin{tabular}{|c|c|} \hline Tickets & \begin{tabular}{c} Games \\ Won \end{tabular} \\ \hline 12 & 1 \\ \hline 24 & 2 \\ \hline 36 & 3 \\ \hline \end{tabular}
\begin{tabular}{|c|c|} \hline Tickets & \begin{tabular}{c} Games \\ Won \end{tabular} \\ \hline 12 & 1 \\ \hline 13 & 2 \\ \hline 14 & 3 \\ \hline \end{tabular}

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Problem 28382

enuity.com/player/ شиеı Active ompleting a Rate Table \begin{tabular}{|c|c|} \hline Miles & Hours \\ \hline 3.5 & 1 \\ \hline 7 & $a$ \\ \hline $b$ & 3 \\ \hline 14 & $c$ \\ \hline $d$ & 5 \\ \hline \end{tabular}
Margie can walk 3.5 miles in 1 hour. Find the values of $a, b, c$ , and $d$ that complete the table showing this relationship. $\begin{array}{l} a=\square \\ b= \\ c=2 \\ d=3.5 \\ 7 \\ 10.5 \end{array}$ Intro Done

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Problem 28383

r07.core.learn.edgenuity.com/player/ hematics \begin{tabular}{|c|c|} \hline Days to Set Up & \begin{tabular}{c} Number of \\ Concerts \end{tabular} \\ \hline 1.5 & 1 \\ \hline 3 & 2 \\ \hline 4.5 & 3 \\ \hline $x$ & 4 \\ \hline 7.5 & 5 \\ \hline \end{tabular}
Stage hands set up a new stage for a concert in the arena every 1.5 days.
Use proportional reasoning to find the value of $x$ that completes the table showing this relationship. $\square$ Done search

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Problem 28384

1 week
Lesson 3: Solving systems of - Combining equations - Elimination strategies - systems of equations with elimina.
Solve the system of equations. $\begin{aligned} & -5 x+8 y=0 \\ & -7 x-8 y=-96 \\ x & =48 \\ y & =-39 \end{aligned}$
Related content sting in systems of equations with elimination: $x-4 y=-18 c$ Microsoft Teams 0 shaunacapers

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Problem 28385

Unit Rates Quiz Active 1 (2) 3 1 5. 5 1 8 98 10 TIME REMAINING 59:50
A car can travel 38 miles on each gallon of gasoline. At that rate, how many gallons of gasoline will it take to travel 190 miles? 2 5 20 50

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Problem 28386

2. As the school's sign language interpreter, Kiran gets paid $\$ 35.50$ for every parent-teacher conference that he attends. He also gets paid $\$ 42$ per school-related assembly that he attends as an interpreter. If Kiran earns $\$ 991$ for 27 paid events, how many parent-teacher conferences and how many school-related assemblies did he attend? Write a system of equations, describe each variable, and solve.

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Problem 28387

Quiz Active TME REMA 1 2 3 4. 16 6 7 6 9 10 58:57
A glacier is moving at a rate of 0.3 inches every hour. The table below represents this relationship. \begin{tabular}{|c|c|} \hline \multicolumn{2}{|c|}{ Glacial Movement } \\ \hline Distance Moved (inches) & \begin{tabular}{c} Time \\ (hours) \end{tabular} \\ \hline 0.3 & 1 \\ \hline 0.6 & 2 \\ \hline 0.9 & 3 \\ \hline $x$ & 4 \\ \hline \hline \end{tabular}
What value of $x$ completes the table? 1.2 1.5 3.6 13.3 Mark this and return Save and Exit Nant Submit ontentViewers/AssessmentViewer/Activity\#

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Problem 28388

Unit Rates Quiz Active 1 2 3 4 5 6 7 8 9 10 TMEREMAINIIG 56:00
Fuad's model racing car drives at an average speed of 3 feet per second. Fuad records the distances and times in a table like the one shown below. \begin{tabular}{|c|c|c|c|c|} \hline \multicolumn{5}{|c|}{ Speed of Model Race Car } \\ \hline Distance (ft.) & 3 & & & \\ \hline Time (s) & 1 & & & \\ \hline \hline \end{tabular}
At this rate, how long will it take the car to travel 21 feet? 3.0 seconds 6.3 seconds 7.0 seconds 14.3 seconds Mark this and return Save and Exit Next Submit

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Problem 28389

ch expression to an equivalent expression by using ra b. $\sqrt[4]{6} x^{3}$

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Problem 28390

Given the graphs of $y = f(x)$ and $y = g(x)$ shown below and $h(x) = \frac{f(x)}{g(x)}$ , determine the value of $h(5)$ .

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Problem 28391

Solve the following quadratic function by utilizing the square root method. Simplify your answer completely. $\begin{array}{c} f(x)=49 x^{2}-144 \\ x= \pm \frac{[?]}{\square} \end{array}$

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Problem 28392

27. $x^2 - 4x - 13 = 0$
30. $x^2 - 8x - 65 = 0$

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Problem 28393

Look at this table: \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline-2 & 8 \\ \hline-1 & 7 \\ \hline 0 & 6 \\ \hline 1 & 5 \\ \hline 2 & 4 \\ \hline \end{tabular}
Write a linear function $(y=m x+b)$ or an exponential function $(y=a(b))$ that models the data. $y=$

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Problem 28394

To solve any equation, "undo" the operations/numbers on the variable side by using the inverse. Remember, what you do to one side of the equation, must be done to the other (to keep it balanced). Work BACKWARDS using the Order of Operations.
Solve $9 + 4x = 9$
Addition and Subtraction are Inverses. Multiplication and Division are Inverses.

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Problem 28395

When might we use this? Let's see... Your $\$128$ regular pay, plus tips, was $\$237$ . How much were the tips?
A store decreased its price on a computer by $\$112$ to $\$478$ . What was the original price? REMEMBER TO CHECK YOUR SOLUTION!

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Problem 28396

Find the intersection of the line and the circle given below. $\begin{aligned} y & =-x-3 \\ x^{2}+y^{2} & =17 \end{aligned}$
Provide your answer below: $\square$ $\square$ $\square$ $\square$ )

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Problem 28397

Exercice 1(6pts)
1. Soit $f$ l'application de l'ensemble $\{1,2,3,4\}$ dans lui-même définie par: $\left\{\begin{array}{l} f(1)=3 \\ f(2)=0 \\ f(3)=1 \\ f(4)=4 \end{array}\right.$ a) Déterminer $f^{-1}(A)$ lorsque $A=\{2\}, A=\{1,4\}, A=\{3\}$ . b) $f$ est-elle injective ?surjective?bijective?
2. Soit $f$ l'application de $\mathbb{R}$ dans $\mathbb{R}$ définie par $f(x)=x^{2}$ a) Déterminer $f(A)$ lorsque $A=\{2\}, A=\{-2\}$ . Que peut-on conclur? b) Déterminer $f^{-1}(A)$ lorsque $A=\{4\}, A=[1,4]$ .

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Problem 28398

The polynomial $p(x)=x^{3}+7 x^{2}-36$ has a known factor of $(x+3)$ . Rewrite $p(x)$ as a product of linear factors. $p(x)=$ $\square$

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Problem 28399

1 Find the slant asymptote of the function $f(x)=\frac{x^{2}+4 x-8}{x+3}$ ?

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Problem 28400

4. $y = (x^2 + 1)$ arccot $x$ 9

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Algebra

Problem 28301

Problem 28302

Translate this phrase into an algebraic expression. 19 more than twice Janelle's savings Use the variable jjj to represent Janelle's savings. □\square□ +□+\square+□ ㅁ-ロ ×□\times \square×□

Problem 28303

A small bag of flour weighed 26 ounces. A large bag was 15 percent heavier. How much does the large bag weigh?

Problem 28304

Solve for ddd.d2−121=0d^2 - 121 = 0d2−121=0Write your answers as integers or as proper or improper fractions in simplest form.d=d = d= or d=d = d=Submit

Problem 28305

Problem 28306

Solve for qqq.q2+12=76q^2 + 12 = 76q2+12=76Write your answers as integers or as proper or improper fractions in simplest form.q=q = q= or q=q = q=Submit

Problem 28307

Problem 28308

In Exercises 1-4, solve the equation using square roots. Check your solution(s).1. w2−22w+121=81w^{2}-22 w+121=81w2−22w+121=812. k2−16k+64=−8k^{2}-16 k+64=-8k2−16k+64=−83. t2−30t+225=−24t^{2}-30 t+225=-24t2−30t+225=−244. 9p2+6p+1=129 p^{2}+6 p+1=129p2+6p+1=12

Problem 28309

Question 9This question has two parts. First, answer Part A. Then, answer Part B. Part A a. Find the related function for −x+3=6-x+3=6−x+3=6. Then graph the related function on a separate sheet of paper. f(x)=f(x)=f(x)=Select Choice

Problem 28310

S+176=577 S + \frac{17}{6} = \frac{57}{7} S+617​=757​

Problem 28311

Find the xxx-and yyy-intercepts of the graph of the linear equation 2x+3y=122 x+3 y=122x+3y=12The xxx-intercept is □\square□ 7.The yyy-intercept is □\square□

Problem 28312

Problem 28313

A 55-kg box rests on a horizontal surface. The coefficient of static friction between the box and the surface is 0.30 . A 140−N140-\mathrm{N}140−N force is applied to the box. What is the frictional force on the box?

Problem 28314

Simplify. (−6wv2)2\left(-6 w v^{2}\right)^{2}(−6wv2)2Write your answer without parentheses.

Problem 28315

Problem 28316

This is the graph of a linear inequality. Write the inequality in slope-intercept form.Write your answer with y first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form. □\square□

Problem 28317

Factor.65t2+60t−20t365t^2 + 60t - 20t^365t2+60t−20t3Suggested tutorial: Learn It: Factor polynomials completely. Need Help? Watch It Additional Materials

Problem 28318

After four rounds, 74 teams are eliminated from a robotics competition. There are 18 teams remaining. Write and solve an equation to find the number of teams ttt that started the competition.An equation that represents this situation is ______.Number of teams that started the competition: ______

Problem 28319

Solve for the roots in simplest form by completing the square: −4x2+32x+0=0-4 x^{2}+32 x+0=0−4x2+32x+0=0Answer Attempt 1 out of 3

Problem 28320

Problem 28321

10 Multiple Choice 1 point In a parking garage, there are 5 cars for every 4 SUVs. Based on this ratio, how many cars and SUVs could be in the parking garage? 80 SUVs and 64 cars 72 SUVs and 90 cars 25 SUVs and 15 cars 84 SUVs and 126 cars

Problem 28322

Problem 28323

Problem 28324

Simplify. (−3)33\sqrt[3]{(-3)^{3}}3(−3)3​

Problem 28325

Problem 28326

Problem 28327

(y+8)2(y+8)^{2}(y+8)2

Problem 28328

Problem 28329

Problem 28330

Problem 28331

(8x2+34x+25)÷(2x+7)(8x^2 + 34x + 25) \div (2x+7)(8x2+34x+25)÷(2x+7)Your answer should give the quotient and the remainder.

Problem 28332

Write the quadratic equation in standard form: −3x+2=4x2-3 x+2=4 x^{2}−3x+2=4x2Answer Attempt 1 out of 3 □\square□ Submit Answer

Problem 28333

Watch VWrite the quadratic equation in standard form: −2x2+6x+16=−4-2 x^{2}+6 x+16=-4−2x2+6x+16=−4Answer Attempt 1 out of 3 □\square□ Submit Answer

Problem 28334

Write the quadratic equation in standard form: 8x+16+3x2=x28 x+16+3 x^{2}=x^{2}8x+16+3x2=x2Answer Attempt 1 out of 3Answer: □\square□ Submit Answer

Problem 28335

Problem 28336

Write the quadratic equation in standard form: −4x+4=1−x2-4 x+4=1-x^{2}−4x+4=1−x2Answer Attempt 1 out of 3

Problem 28337

Given f(x)=−x2+7xf(x)=-x^{2}+7 xf(x)=−x2+7x, find f(−1)f(-1)f(−1)Answer Attempt 1 out of 3

Problem 28338

Question Given f(x)=−4x2+10x+13f(x)=-4 x^{2}+10 x+13f(x)=−4x2+10x+13, find f(7)f(7)f(7)Answer Attempt 1 out of 3 □\square□ Submit Ans

Problem 28339

Problem 28340

Graph the equation y=−x2−10x−24y=-x^{2}-10 x-24y=−x2−10x−24 on the accompanying set of axes. You must plot 5 points including the roots and the vertex. Using the graph, determine the equation of the axis of symmetry.Click to plot points. Click points to delete them.

Problem 28341

Problem 28342

Problem 28343

Problem 28344

Problem 28345

Graph the equation y=x2−4x+3y=x^{2}-4 x+3y=x2−4x+3 on the accompanying set of axes. You must plot 5 points including the roots and the vertex.Click to plot points. Click points to delete them.

Problem 28346

omplete: 79\%Question Watch VideoExpand the expression to a polynomial in standard form: (3x2+x−2)(x2−2x+8)\left(3 x^{2}+x-2\right)\left(x^{2}-2 x+8\right)(3x2+x−2)(x2−2x+8)Answer Attempt 1 out of 3 □\square□ Submit Answer

Problem 28347

Question Watch VideoExpand the expression to a polynomial in standard form: (x+1)(2x−5)(x−3)(x+1)(2 x-5)(x-3)(x+1)(2x−5)(x−3)Answer Attempt 1 out of 3

Problem 28348

Question Watch Video Show ExamplesThe difference of the square of a number and 28 is equal to 3 times that number. Find the positive solution.Answer Attempt 1 out of 3 □\square□ Submit Answer

Problem 28349

Problem 28350

Translate this phrase into an algebraic expression. 19 more than twice Janelle's savings Use the variable $j$ to represent Janelle's savings. $\square$ $+\square$ ㅁ-ロ $\times \square$

Solve for $d$ .
$d^2 - 121 = 0$
Write your answers as integers or as proper or improper fractions in simplest form.
$d =$ or $d =$
Submit

Solve for $q$ .
$q^2 + 12 = 76$
Write your answers as integers or as proper or improper fractions in simplest form.
$q =$ or $q =$
Submit

In Exercises 1-4, solve the equation using square roots. Check your solution(s).
1. $w^{2}-22 w+121=81$
2. $k^{2}-16 k+64=-8$
3. $t^{2}-30 t+225=-24$
4. $9 p^{2}+6 p+1=12$

Question 9
This question has two parts. First, answer Part A. Then, answer Part B. Part A a. Find the related function for $-x+3=6$ . Then graph the related function on a separate sheet of paper. $f(x)=$
Select Choice

$S + \frac{17}{6} = \frac{57}{7}$

Find the $x$ -and $y$ -intercepts of the graph of the linear equation $2 x+3 y=12$
The $x$ -intercept is $\square$ 7.
The $y$ -intercept is $\square$

A 55-kg box rests on a horizontal surface. The coefficient of static friction between the box and the surface is 0.30 . A $140-\mathrm{N}$ force is applied to the box. What is the frictional force on the box?

Simplify. $\left(-6 w v^{2}\right)^{2}$
Write your answer without parentheses.

This is the graph of a linear inequality. Write the inequality in slope-intercept form.
Write your answer with y first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form. $\square$

Factor.
$65t^2 + 60t - 20t^3$
Suggested tutorial: Learn It: Factor polynomials completely. Need Help? Watch It Additional Materials

After four rounds, 74 teams are eliminated from a robotics competition. There are 18 teams remaining. Write and solve an equation to find the number of teams $t$ that started the competition.
An equation that represents this situation is .
Number of teams that started the competition:

Solve for the roots in simplest form by completing the square: $-4 x^{2}+32 x+0=0$
Answer Attempt 1 out of 3

Simplify. $\sqrt[3]{(-3)^{3}}$

$(y+8)^{2}$

$(8x^2 + 34x + 25) \div (2x+7)$
Your answer should give the quotient and the remainder.

Write the quadratic equation in standard form: $-3 x+2=4 x^{2}$
Answer Attempt 1 out of 3 $\square$ Submit Answer

Watch V
Write the quadratic equation in standard form: $-2 x^{2}+6 x+16=-4$
Answer Attempt 1 out of 3 $\square$ Submit Answer

Write the quadratic equation in standard form: $8 x+16+3 x^{2}=x^{2}$
Answer Attempt 1 out of 3
Answer: $\square$ Submit Answer

Write the quadratic equation in standard form: $-4 x+4=1-x^{2}$
Answer Attempt 1 out of 3

Given $f(x)=-x^{2}+7 x$ , find $f(-1)$
Answer Attempt 1 out of 3

Question Given $f(x)=-4 x^{2}+10 x+13$ , find $f(7)$
Answer Attempt 1 out of 3 $\square$ Submit Ans

Graph the equation $y=-x^{2}-10 x-24$ on the accompanying set of axes. You must plot 5 points including the roots and the vertex. Using the graph, determine the equation of the axis of symmetry.
Click to plot points. Click points to delete them.

Graph the equation $y=x^{2}-4 x+3$ on the accompanying set of axes. You must plot 5 points including the roots and the vertex.
Click to plot points. Click points to delete them.

omplete: 79\%
Question Watch Video
Expand the expression to a polynomial in standard form: $\left(3 x^{2}+x-2\right)\left(x^{2}-2 x+8\right)$
Answer Attempt 1 out of 3 $\square$ Submit Answer

Question Watch Video
Expand the expression to a polynomial in standard form: $(x+1)(2 x-5)(x-3)$
Answer Attempt 1 out of 3

Question Watch Video Show Examples
The difference of the square of a number and 28 is equal to 3 times that number. Find the positive solution.
Answer Attempt 1 out of 3 $\square$ Submit Answer

Solve each equation with the quadratic formula
2) $6x^2 - 9x - 12 = 0$

mplete: $93 \%$
Question Complete the square to re-write the quadratic function in vertex form: $y=x^{2}-4 x-7$ Context Answer Attempt 1 out of 3 Gravity) $y=$ $\square$ Submit Answer

3) $12v^2 - 6v + 10 = 0$
Solve each equation with the quadratic formula

Put the quadratic into vertex form and state the coordinates of the vertex. $y=x^{2}+14 x$
Answer Attempt 1 out of 3
Vertex Form: $y=$ $\square$ Vertex: $\square$ $\square$ Submit Answer

$y = -6^{4}$
2. $y \ge 2x^2 + 9x + 10$ $4 \cdot 9$ $24 - 9 - 9 + 10$

3) $5n^2 - 12 = 0$

Solve $u^2 = 49$ , where $u$ is a real number. Simplify your answer as much as possible. If there is more than one solution, separate them with commas. If there is no solution, click on "No solution". $u = \square$

$-5(4)^{-2}-12(4)^{-3}$

14. The factorised form of $2 x^{2}+12 x+3 x+18$ is:
A $(x+6)(2 x+3)$ B $(x+6)(x+3)$ C $(x+6)(2 x-3)$ D $(x+6)(x-3)$

Complete the table for the given rule. Rule: $y = x + 3$

1) Evaluate $\frac{2}{5}k - 3.5$ for $k = 15$ .

$3. \ 5x^2 - 11 = 234$

Factor the GCF out of the polynomial belo $28 j^{10}+20 j^{9}+4 j^{8}$
Question Help: Video 1 Video 2
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Solve the equation. $\sqrt{45-6 x}+3=x$
Select the correct choice below and fill in any answer boxes within your choice. A. The solution set is $\square$ \}. (Type an integer or a fraction. Use a comma to separate answers as needed.) B. The solution set is the empty set.

Choose the correct answer from those given :
(1) If $f(2) = 4$ , $g(4) = 3$ , then $(g \circ f)(2) =$ ......... (a) 12 (b) 4 (c) 3 (d) 1 Interactive test 1