Browse Algebra problems Studdy Solved!

Problem 23701

Determine if the graph can represent a polynomial function. If so, assume that the end behavior and all turning points are represented in the graph.

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Problem 23702

5 pts
Question 4
Daniah deposits $\$ 4,000$ in a savings account at New York State Bank that pays $5.4 \%$ interest, compounded monthly. What is the amount of interest at the end of the year?

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Problem 23703

The length of a rectangle is 2 cm longer than its width. If the perimeter of the rectangle is 64 cm , find its length and width. $\square$

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Problem 23704

2. Critical Thinking:
Rhoda is saving up money for a down payment on a condominium. She currently has $\$ 2571$ but knows she can get a loan at a lower interest rate if she can put down $\$ 3308$ . If she invests the $\$ 2571$ in an account that earns $4.9 \%$ annually, compounded monthly, how long will it take Rhoda to accumulate the $\$ 3308$ ? Round your answer to two decimal places, if necessary.

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Problem 23705

8. Find the inverse of $f(x)=4^{x}-6$ a. $f^{-1}(x)=\log _{4}(x)+6$ b. $f^{-1}(x)=\log _{4}(x+6)$ c. $f^{-1}(x)=6 \log _{4} x$ d. $f^{-1}(x)=\log _{x+6} 4$

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Problem 23706

Given the following functions: $\begin{array}{l} f(x)=3 x^{2}+3 x-6 \\ g(x)=3 x+6 \end{array}$
Find each of the values below. Give exact answers. a. $(f+g)(-2)=$ $\square$ b. $(f-g)(3)=$ $\square$ 15 c. $(f \cdot g)(2)=$ $\square$ 120 d. $\left(\frac{f}{g}\right)(4)=$ $\square$

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Problem 23707

5 pts
Daniah deposits $\$ 4,000$ in a savings account at New York State Bank that pays $5.4 \%$ interest, compounded monthly. What is the APY for this account to the nearest hundredth of a percent?

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Problem 23708

$\begin{array}{|c|c|c|} \hline -5(9w-3) & 8 & 11(8v+10) \\ \hline \end{array}$

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Problem 23709

$0 / 1 \mathrm{p}$
Solve the following system of equations with the substitution method: $\left\{\begin{array}{ll} x+4 y & =-32 \\ y & =-2 x+6 \end{array}\right.$
Answer: $(x, y)=1$ $\square$ Preview $x$ : $\square$ Preview $y$ :

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Problem 23710

15 one Dicit DivisoRs The teacher worked a total of 68 hours one school week (five days). She worked the same amount of time every day except for Thursday when she worked extra (your remainder). How many hours did she work each day? How many hours did she work Thursday?

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Problem 23711

Jose deposits $\$ 5000$ into an account that pays simple interest at a rate of $5 \%$ per year. How much interest will he be paid in the first 4 years? s! $\square$

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Problem 23712

25) أو جد أعلى قيمة للدالة $f(x)=-2 x^{2}+5 x-7$

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Problem 23713

In Exercises 8-10, graph the function. Compare the graph to the graph of the parent function. Identify the $y$ -intercepts and asymptotes of the graph. Find the domain and range of $f$ .
8. $f(x)=5\left(\frac{1}{4}\right)^{x}$

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Problem 23714

Question 24
Suppose that $\$ 6500$ is placed in an account that pays $17 \%$ interest compounded each year. Assume that no withdrawals are made from the account.
Follow the instructions below. Do not do any rounding. (a) Find the amount in the account at the end of 1 year. \\square $(b) Find the amount in the account at the end of 2 years. \$$ \square$

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Problem 23715

Select the correct answer. How will the graph of $\log x$ compare to the graph of $\ln x$ ? A. The $\log x$ graph will grow slower than the $\ln x$ graph. B. The $\log x$ graph will grow faster than the $\ln x$ graph. C. They are inverses of one another. D. The graphs will be the same.

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Problem 23716

Manuel deposit \ $5,300 into a bank account for seven and a half years. He compares two different options. Option 1 will pay$ 6.4 \% $interest, compounded semiannually. Option 2 will pay$ 6.4 \% $interest, compounded continuously. Manuel deposita$ \ $5.300$ dólares en una cuenta bancaria durante siete años y medio. Compara dos opciones diferentes. La opción 1 pagará un interés del $6.4 \%$ , compuesto semestralmente. La opción 2 pagará un interés del $6.4 \%$ , compuesto continuamente.
What is the ending balance of Option 1? ¿Cuál es el saldo final de la Opción 1? $\square$ What is the ending balance of Option 2? ¿Cuál es el saldo final de la Opción 2? $\square$ How much interest does Option 1 pay? ¿Cuánto interés paga la opción 1? $\square$ How much interest does Option 2 pay?

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Problem 23717

Given that $f(x)=x^{2}+5 x$ and $g(x)=x-6$ , calculate the following: You do not need to simplify (a) $(f \circ g)(x)=$ $\square$ (b) $(g \circ f)(x)=$ $\square$ (c) $(f \circ f)(x)=$ $\square$ (d) $(g \circ g)(x)=$ $\square$

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Problem 23718

a) $\left(x^{3}+3 x^{2}-3 x-2\right) \div(x-1)$

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Problem 23719

Cost, Revenue, and Profit You decide to begin selling bags of peanuts at the local star wars convention. Your cost for each bag of peanuts is $\$ 0.90$ plus you have to pay a fee of $\$ 120$ each week for the booth. Your plan is to sell each bag of peanuts for \$2.83.
Note that in business, costs are any money you pay out. Revenue is any money you receive through sales. Profit is total revenues minus total costs.
1. Write a function, $C(n)$ , to represent your total costs for the week if you sell $n$ bags of peanuts. $C(n)=$ $\square$
2. Revenue is the amount of money you earn from selling bags of peanuts. Write a function, $R(n)$ , to represent the revenue from the sale of $n$ bags of peanuts during the week. $R(n)=$ $\square$
3. Write a function, $P(n)$ , that represents the profits for selling $n$ bags of peanuts in a given week. Recall that profit is found by subtracting costs from revenue, i.e., $P(n)=R(n)-C(n)$ . $P(n)=$ $\square$
1. What is the $x$ -coordinate of the break even point? Write your answer as a whole number. $\square$
2. Complete the following sentence to explain the meaning of your previous answer:
In order not to lose money, I need to sell at least $\square$ bags of peanuts Submit Question

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Problem 23720

$=$ $V=6$ $=$

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Problem 23721

Factor the trinomial completely. $x^{2}-10 x+9$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice A. $x^{2}-10 x+9=\square$ (Type your answer in factored form:) B. The polynomial is prime.

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Problem 23722

You go to the doctor and he gives you 15 milligrams of radioactive dye. After 12 minutes, 8 milligrams of dye remain in your system. To leave the doctor's office, you must pass through a radiation detector without sounding the alarm. If the detector will sound the alarm if more than 2 milligrams of the dye are in your system, how long will your visit to the doctor take, assuming you were given the dye as soon as you arrived? Give your answer to the nearest minute.
You will spend $\square$ minutes at the doctor's office.

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Problem 23723

1. Katherine works no more than 20 hours each week. Babysitting earns her $\$ 8$ an hour anc working as a hostess earns her $\$ 10$ per hour. She needs to earn at least $\$ 180$ each week to save for the car she wants. Write and solve a system of linear inequalities that displays all possible combinations of hours she could work at each job to reach her goal. $x=$ number of babysitting hours $y=$ number of hostessing hours

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Problem 23724

$5-4$ Standardized Test Prep
Point-Slope Form Multiple Choice For Exercises 1-5, choose the correct letter.
1. Which equation is equivalent to $y-6=-12(x+4)$ ? A. $y=-6 x-48$ C. $y=-12 x-42$ B. $y=6 x-48$ D. $y=-12 x-54$
2. Which point is located on the line represented by the equation $y+4=-5(x-3) ?$ F. $(-4,-5)$ G. $(-5,-4)$ H. $(3,-4)$ I. $(-3,4)$
3. Which equation represents the line that passes through the points $(6,-3)$ and $(-4,-9)$ ? A. $y+4=-\frac{3}{5}(x+9)$ C. $y-3=\frac{3}{5}(x+6)$ B. $y+4=\frac{5}{3}(x+9)$ D. $y+3=\frac{3}{5}(x-6)$
4. Which equation represents the line shown in the graph? F. $y=-3 x-2$ G. $y=3 x+2$ H. $y+4=-3(x-2)$ l. $y+8=-3(x-2)$
5. The population of a city increases by 4000 people each year. In 2025 , the population is projected to be 450,000 people. What is an equation that gives the city's population $p$ (in thousands of people) $x$ years after 2010? A. $p=4 x+450$ C. $p-15=4(x-450)$ B. $p-450=4(x-15)$ D. $p=4 x+15$
Short Response
6. The table shows the cost of a large cheese pizza with additional toppings on it. a. What is an equation in point-slope form that represents the relationship between the number of toppings and the cost of the pizza? \begin{tabular}{|c|c|} \hline Toppings & Cost (\$) \\ \hline 2 & 10.50 \\ \hline 3 & 11.75 \\ \hline 5 & 14.25 \\ \hline \end{tabular} b. What is the graph of the equation?

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Problem 23725

$5=\frac{5(4 n-1)}{3}$

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Problem 23726

Graph $f(x)=\log _{2}(1-x)$ below. First locate the vertical asymptote, then plot two points on the graph.
Clear All Draw: $\square$ Check Answer

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Problem 23727

Solve the equation. * $5 x-6=29$ $x=3$ $x=5$ $x=7$ $x=9$

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Problem 23728

Solve. $\begin{aligned} 5.4 & =-\frac{t}{7.5} \\ t & = \end{aligned}$

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Problem 23729

Write the expression $\log _{5}\left(x^{8} \sqrt[3]{y^{13}}\right)$ as a sum of logarithms with no exponents or radicals. \begin{tabular}{|c|c|c|c|c|c|c|c|} \hline Basic & Funcs & Tri & & & & & $\times$ \\ \hline $x$ & B & $x$ & $\boldsymbol{x}_{\square}$ & $\sqrt{ }$ & $\sqrt[n]{ }$ & $\uparrow$ & $\downarrow$ \\ \hline $y$ & ( $\square$ & |ㅁ| & $\pi$ & $\infty$ & DNE & $\leftarrow$ & $\longrightarrow$ \\ \hline \multicolumn{6}{|l|}{Enter an algebraic expression [more.]} & \multicolumn{2}{|c|}{Q} \\ \hline \end{tabular}

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Problem 23730

Submit Answer
14. [0/1 Points]
DETAILS MY NOTES LARPCALC11 8.2.019. Evaluate the expression. $5\left(\left[\begin{array}{rrr} -2 & 0 & 1 \\ 0 & 3 & 2 \end{array}\right]-\left[\begin{array}{rrr} 5 & 1 & -2 \\ 2 & -8 & 0 \end{array}\right]\right)$ $\square$ $\square$ $\square$ $\square$ $\qquad$ $\square$ $\stackrel{\rightharpoonup}{\Rightarrow}$ Need Help? Read It Submit Answer

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Problem 23731

\begin{tabular}{|l|l|l|} \hline $\frac{a^{4}}{a^{9}}$ & $\frac{p^{4} q^{6}}{p^{2} q^{8}}$ & $\frac{2 x^{2} y^{3}}{4 x y^{5}}$ \\ \hline \end{tabular}

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Problem 23732

Determine if the graph can represent a polynomial function. If so, assume that the end behavior and all turning points are represented in the graph. (a) Determine the minimum degree of the polynomial. (b) Determine whether the leading coefficient is positive or negative based on the end behavior and whether the degree of the polynomial is odd or even. (c) Approximate the real zeros of the function, and determine if their multiplicities are even or odd.

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Problem 23733

Solve the equation. * $3 x+8=2$ $x=-4$ $x=-2$ $x=2$ $x=4$

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Problem 23734

A cylinder with a movable piston contains gas at a temperature of $24.3^{\circ} \mathrm{C}$ , a volume of $2.09 \mathrm{~m}^{3}$ , and an absolute pressure of 13700 Pa .
What will be its final temperature if the gas is compressed to $0.34 \mathrm{~m}^{3}$ and the absolute pressure increases to 63350 Pa ?
Answer in units of ${ }^{\circ} \mathrm{C}$ .

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Problem 23735

Solve for $X$ in the equation, where $\left.\begin{array}{c} A=\left[\begin{array}{rrr} -2 & 3 & 1 \\ -5 & 0 & 2 \end{array}\right] \text { and } B=\left[\begin{array}{rrr} 0 & 4 & -2 \\ 3 & 0 & 3 \end{array}\right] . \\ 4 B=-2 X-2 A \\ X=\square \square \\ \square \end{array}\right] \Rightarrow$ ■

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Problem 23736

For $f(x)=\frac{6}{x+2}$ and $g(x)=\frac{3}{x}$ , find a. $(f \circ g)(x)$ ; b. the domain of $f \circ g$ a. $(f \circ g)(x)=$ $\square$ (Simplify your answer.) b. What is the domain of $f \circ g$ ?
The domain is $\square$ (Simplify your answer. Type your answer in interval notation. Use integers or

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Problem 23737

15. Solve the equation in the real number system. $x^{4}-2 x^{3}+6 x^{2}-18 x-27=0$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is $\square$ ß. (Simplify your answer. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed. Type each answer only once.) B. The solution set is $\varnothing$ .

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Problem 23738

(A-C) weekly assignments
18 - 11/25 ignment Overview 1 ply Binomials : 2/4 Penalty: none stion Watch Vide press as a trinomial. $(3 x-7)(x-4)$
Answer $\square$ Submit Ans

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Problem 23739

Solve for $w$ . $(w+2)^{2}=2 w^{2}+11 w+16$
If there is more than one solution, separate them with commas.

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Problem 23740

Problem Value: 1 point(s). Problem Score: 0\%. Attempts Remaining: 6 attempts. (1 point) Find all zeros and vertical asymptotes of the rational function $f(x)=\frac{x^{2}-25}{x^{2}+25}$
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) Find the $x$ -intercept(s). Enter $x$ -intercepts as points, if there is more than one answer enter them separated by commas. If there is no $x$ -intercept type in none . $\square$ Help on points. (b) Find the $y$ -intercept(s). Enter $y$ -intercepts as points, if there is more than one answer enter them separated by commas. If there is no $y$ -intercept type in none . $\square$ Help on points. (c) Enter the equations of the vertical asymptotes (e.g., $x=20, x=-7$ ). $\square$ Help on equations.

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Problem 23741

Fill in the blank so that the resulting statement is true. If $\log _{7}(x+5)=4$ , then $\qquad$ $=x+5$ .
If $\log _{7}(x+5)=4$ , then $\square$ $=x+5$ .

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Problem 23742

Fill in the blank so that the resulting statement is true. If $\log _{7}(x+5)=4$ , then $\qquad$ $=x+5$ .
If $\log _{7}(x+5)=4$ , then $\square$ $=x+5$ . $\square$

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Problem 23743

c) $4 x-5<2 x-7$

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Problem 23744

An 80.0 kg man stands on a scale inside an elevator. What is the weight in Newtons that the scale reads when the elevator is: a. At rest b. Moving upward at a constant speed of $5.00 \mathrm{~m} / \mathrm{s}$ c. Moving downward at a constant speed of $5.00 \mathrm{~m} / \mathrm{s}$ d. Moving with an upward acceleration of $3.00 \mathrm{~m} / \mathrm{s} / \mathrm{s}$ e. Moving with a downward acceleration of $4.00 \mathrm{~m} / \mathrm{s} / \mathrm{s}$

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Problem 23745

Solve the logarithmic equation. Be sure to reject any value of $x$ that is not in the domain of the $\log _{4}(x+11)-\log _{4}(x-4)=2$
Rewrite the given equation without logarithms. Do not solve for $x$ . $\frac{x+11}{x-4}=16$
Solve the equation. Select the correct choice below and, if necessary, fill in the answer box to cor A. The solution set is $\square$ (Simplify your answer. Use a comma to separate answers as needed.) B. There are infinitely many solutions. C. There is no solution.

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Problem 23746

Solve the logarithmic equation. Be sure to reject any value of $x$ that is not in the domain of the original logarithmic expressions. Give the exact $\ln (x-5)+\ln (x+2)=\ln (x-14)$
Rewrite the given equation without logarithms. Do not solve for $x$ . $(x-5)(x+2)=x-14$
Solve the equation to find the solution set. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is $\square$ 3. (Simplify your answer. Use a comma to separate answers as needed.) B. There are infinitely many solutions. C. There is no solution.

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Problem 23747

16. $x-y=5$

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Problem 23748

Solve the following system of equations. $\begin{aligned} 5 x+3 y+z & =-35 \\ x-3 y+2 z & =-7 \\ 14 x-2 y+3 z & =-78 \end{aligned}$

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Problem 23749

a) $-1<3+4 x<5$

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Problem 23750

Han offe one test score with the score earned here. Please state what reak таке ноте тest 2) Solve the following equation for m. y = mx + b

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Problem 23751

A computer assembly firm purchases computer parts at $\$ 245$ per computer. The operating expenses are $28 \%$ on cost and rate of markup is $50 \%$ on cost. a. What is the selling price of each computer? $\square$ Round to the nearest cent b. What is the operating profit per computer? $\square$ Round to the nearest cent

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Problem 23752

3. In 2017 Rickard Rakell scored 26 goals after playing the first 53 games for the Anaheim Ducks. If the NHL season is 82 games long, and his scoring rate stayed consistent, how many goals can you expect Rakell to have scored by the end of the season?
4. In the year 2000 , there were approximately 500 million computers in use and it was projected that the amount of computers would increase at a rate of $10 \%$ each year. Based on this model, how many computers were in use in the year 2005? Round to the nearest millions of computers.

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Problem 23753

$\begin{array}{l}h(x)=\left\{\begin{array}{ll}-5 x-17, & \text { for } x<-3 \\ 1, & \text { for }-3 \leq x<1 \\ x+4, & \text { for } x \geq 1\end{array}\right. \\ h(-10)=\square \\ h(-2)=\square \\ h(1)=\square \\ h(4)=\square\end{array}$

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Problem 23754

Solve the following inequality. $3 x+7<31$
Select the correct choice below and fill in the answer box to complete your choice. A. The solution set is $\{x|x\rangle$ $\square$ \}. B. The solution set is $\{x \mid x<$ $\square$ \}. C. The solution set is $\{x \mid x \leq$ $\square$ \}. D. The solution set is $\{x \mid x \geq$ $\square$ \}.

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Problem 23755

Solve. $|4 x-7|=8$

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Problem 23756

Carlton holds undeveloped land for investment. His adjusted basis in the land is $\$ 114,600$ , and the FMV is $\$ 191,000$ . On November 1 . 2023, he exchanges this land for land owned by his son, who is 31 years old. The appraised value of his son's land is $\$ 184,000$ with a basis of $\$ 170,000$ .
Required: a. Calculate Carlton's realized and recognized gain or loss from the exchange with his son and on Carlton's subsequent sale of the land to a real estate agent on July 19, 2024, for \$231,500. b1. Calculate Carlton's realized and recognized gain or loss from the exchange with his son if Carlton does not sell the land received from his son, but his son sells the land received from Carlton on July 19, 2024. b2. Calculate Carlton's basis for the land on November 1, 2023, and July 19, 2024 if Carlton does not sell the land received from his son, but his son sells the land received from Carlton on July 19, 2024. c. What could Carlton do to avoid any recognition of gain associated with the first exchange prior to his sale of the land?
Complete this question by entering your answers in the tabs below. \begin{tabular}{|l|l|l|l|} \hline $\operatorname{Req} A$ & Req B1 & Req B2 & Req C \\ \hline \end{tabular}
Calculate Carlton's realized and recognized gain or loss from the exchange with his son and on Carlton's subsequent sale of the land to a real estate agent on July 19, 2024, for \$231,500. Note: If no gain or loss is recognized, select "No gain or loss. \begin{tabular}{|l|l|l|} \hline \\ \hline & Amount \\ \hline \end{tabular}

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Problem 23757

12. The table shows values for the function $f(x)$ , while the graph shows values for the function $h(x)$ . Which function has the greater slope? Explain your answer. \begin{tabular}{|c|c|} \hline $x$ & $f(x)$ \\ \hline 1 & 7 \\ \hline 3 & 11 \\ \hline 5 & 15 \\ \hline 7 & 19 \\ \hline \end{tabular}

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Problem 23758

Question 9 (1 point) Evaluate the indicated function for $f(x)=x^{2}+6$ and $g(x)=x-5$ . $(f / g)(-4)-g(6)$ a $\quad-\frac{5}{26}$ b $-\frac{9}{13}$ c $\quad-\frac{31}{9}$ d $\quad-\frac{13}{9}$ e $\quad-\frac{9}{31}$

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Problem 23759

Question 10 (1 point) Find $g \circ f$ and the domain of the composite function. $f(x)=x^{2}+4, g(x)=\sqrt{x}$ a $\sqrt{(x-4)^{4}}$ Domain of $g \circ f$ : all real numbers $x$ b $(x-4)^{4}$ Domain of $g \circ f$ : all real numbers $x$ c $\sqrt{x^{2}+4}$ Domain of $g \circ f$ : all real numbers $x$ d $\quad(x+4)^{4}$ Domain of $g \circ f$ : all real numbers $x$ e $\sqrt{(x+4)^{4}}$ Domain of $g \circ f$ : all real numbers $x$

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Problem 23760

$2(3 x+5)=10+4(2 x-3)$
Use the keypad to enter the answer in the box. $x=$

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Problem 23761

Question 15 (1 point) Find $(f / g)(x)$ . $f(x)=x^{2}-4 x \quad g(x)=7-x$ a $\quad(f / g)(x)=\frac{x^{2}-4 x}{7-x}, x \neq-7$ b $\quad(f / g)(x)=\frac{x^{2}}{7}+4, x \neq 0$ c $(f / g)(x)=\frac{x-4}{7}, x \neq 0$ d $(f / g)(x)=\frac{x^{2}-4 x}{7-x}, x \neq 7$ e $\quad(f / g)(x)=\frac{x^{2}-4 x}{7-x}, x \neq 0$

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Problem 23762

$2 x+12=4$

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Problem 23763

What is the basis of the new property in each of the following situations? What is the recognized gain or loss? Required: a. Rental house with an adjusted basis of $\$ 121,500$ exchanged for a personal-use river cottage with an FMV of $\$ 155,750$ . b. General Motors common stock with an adjusted basis of $\$ 26,000$ exchanged for Quaker Oats common stock with an FMV of \ $19,000. c. Land and building with an adjusted basis of$ \ $27,350$ used as a furniture repair shop exchanged for land and a building with an FMV of $\$ 57,900$ used as a car dealership. d. An office building with an adjusted basis of $\$ 23,800$ exchanged for a heavy-duty truck with an FMV of $\$ 29,950$ . Both properties are held for 100\% business purposes. e. A residential rental property held for investment with an adjusted basis of $\$ 265,150$ exchanged for a warehouse to be held for investment with an FMV of \$214,000. Note: For all requirements, if no gain or loss is recognized, select "No gain or loss". \begin{tabular}{|l|l|l|} \hline & & Amount \\ \hline a. & Basis of the new property & \\ \hline a. & & \\ \hline b. & Basis of the new property & \\ \hline b. & & \\ \hline c. & Basis of the new property & \\ \hline c. & & \\ \hline d. & Basis of the new property & \\ \hline d. & \\ \hline e. & Basis of the new property & \\ \hline e. & & \\ \hline \end{tabular}

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Problem 23764

11) 0.7515 moles of nitrogen gas and 0.1135 moles of methane gas are placed in a 171.6 ml container at $20.8^{\circ} \mathrm{C}$ . What is the partial pressure (atm) of nitrogen gas? A) 1.14 B) 0.473 C) 16.0 D) 106 E) 226

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Problem 23765

Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation for the parabola's axis of symmetry. Use the graph to determine the function's domain and range. $f(x)=x^{2}+6 x+3$
What is the vertex? $\square$ (Type an ordered pair.)

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Problem 23766

Determine whether the relation in the mapping diagram is a function.
Use the drop-down arrows to complete the sentences.
The relation in the mapping diagram $\square$ a function because $\square$

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Problem 23767

Cheese production in a country is currently growing at a rate of $4 \%$ per year. The equation $y=8.3(1.04)^{x}$ models the cheese production in the country from 2003 to 2009. In this equation, $y$ is the amount of cheese produced, in billions of pounds, and x represents the number of years after 2003. a. Estimate the total cheese production in the country in 2007. b. Assuming this equation continues to be valid in the future, use the equation to predict the total amount of cheese produced in the country in 2016. a. The total cheese production in the country in 2007 was about 9.7 billions of pounds. (Round to the nearest tenth as needed.) b. The total cheese production in the country in 2016 will be about $\square$ billions of pounds. (Round to the nearest tenth as needed.)

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Problem 23768

Linear Functions Use the given information to write a function.
9. A line passes through the points $(5,4)$ and $(-3,3)$ .
10. A line passes through the points $(-4,2)$ and $(1,-3)$ .
11. A line passes through the points $(1,5)$ and $(-5,3)$ .
Equations (Math 7/8 Review) Solve each equation and properly check your solution, if possible.
12. $-4(3 x+7)-6 x=-19$
13. $(3 x)^{2}-10=134$
14. $5 x-9-(x+7)=\frac{1}{2} x+19$

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Problem 23769

Solve the following system of equations by the elimination method. Check the solution(s). $\left\{\begin{array}{l} 7 x-y=34 \\ x+y=6 \end{array}\right.$
Select the correct choice below and, if necessary, fill in any answer boxes within your choice. (Type an ordered pair.) - The system has a single solution. The graphs intersect at the point $\square$ The system is inconsistent and has no solutions. There are infinitely many solutions and the equations are dependent.

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Problem 23770

Solve the following system of equations by the elimination method. Check the solution(s). $\left\{\begin{array}{l} 2 x-y=3 \\ x+9 y=68 \end{array}\right.$
Select the correct choice below and, if necessary, fill in any answer boxes within your choice. (Type an ordered pair.) - The system has a single solution. The graphs intersect at the point $\square$ The system is inconsistent and has no solutions. There are infinitely many solutions and the equations are dependent.

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Problem 23771

Use transformations of the graph of $f(x)=3^{x}$ to graph the given function. Be sure to graph and give the equation of the asymptote. Use the graph to determine the function's domain and range. If applicable, use a graphing utility to confirm your hand-drawn graphs. $g(x)=3^{x}-2$
Graph $g(x)=3^{x}-2$ and its asymptote. Use the graphing tool to graph the function as a solid curve and the asymptote as a dashed line.

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Problem 23772

A 2.00 L container is filled with $\mathrm{Ar}(\mathrm{g})$ at 752 mmHg and $35^{\circ} \mathrm{C}$ . A 0.728 g sample of $\mathrm{C}_{6} \mathrm{H}_{6}$ vapor is then added. a) What is the total pressure in the container? (b) What is the partial pressure of Ar and of $\mathrm{C}_{6} \mathrm{H}_{6}$ ?

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Problem 23773

Solve for $y$ in the equation below. Round your answer to the nearest hundredth. Do not round any intermediate computations. $e^{-3 y}=5$

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Problem 23774

Solve for $y$ in the equation below. Round your answer to the nearest hundredth. Do not round any intermediate computations. $e^{y-3}=9$

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Problem 23775

$\log _{7} 9$

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Problem 23776

11.6 Homework: Systems of Nonlinear Equations Score: 2.75/10 Answered: 2/10 Question 4
Solve the system by the substitution method. $\left\{\begin{array}{l} x y=30 \\ 3 x-y=9 \end{array}\right.$
Select the correct cheice below and, if necessary, fill in the answer box to complete your choice. Type an ordered pair and use a comma to separate answers as needed. - The solution(s) is/are $\square$ There is no solution.

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Problem 23777

The number of bacteria $P(h)$ in a certain population increases according to the following function, where time $h$ is measured in hours. $P(h)=2700 e^{0.09 h}$
How many hours will it take for the number of bacteria to reach 3200 ? Round your answer to the nearest tenth, and do not round any intermediate computations. hours

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Problem 23778

Solve the system. Use any method you wish. $\left\{\begin{array}{l} y=-\sqrt{x} \\ (x-17.5)^{2}+y^{2}=81.25 \end{array}\right.$
What is the solution? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. Type an ordered pair and use a comma to separate answers as needed. Type an exact answer, using radicals as needed. - The solution(s) is/are $\square$ There are no solutions. Question Help: $\square$ Video

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Problem 23779

Solve the system by the method of your choice. Hint: Let $u=\frac{1}{x^{2}}$ and $v=\frac{1}{y^{2}}$ . $\left\{\begin{array}{l} \frac{3}{x^{2}}-\frac{1}{y^{2}}=-1 \\ \frac{4}{x^{2}}+\frac{5}{y^{2}}=24 \end{array}\right.$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. Type an ordered pair and use a comma to separate answers as needed. Type an exact answer, using fractions as needed. - The solution(s) is/are $\square$ There is no solution.

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Problem 23780

Cesimplfy $\begin{array}{l} Q(P \Rightarrow P) \Rightarrow \neg(Q \Rightarrow(Q) \\ T \Rightarrow \neg(\neg 6 \Rightarrow Q) \\ T \Rightarrow \neg(\neg T) \\ T \Rightarrow \neg F \end{array}$ $T \Rightarrow I$ always true (2) $(7 P \wedge \varphi) \vee(\neg P \wedge Q)$
Q/Find the converse and contrapositive "If Muna is studing for the mid-term exam then it is not hoilday time

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Problem 23781

Avery and Collin were trying to challenge each other with equations for sequences. Avery was looking at an explicit equation that Collin wrote. $t(n)=4.5 n-8$ a. Write the first 4 terms for the sequence. b. What would Avery do to write the $15^{\text {th }}$ term of this sequence? c. Write a recursive equation for this sequence.

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Problem 23782

Given that $I_{0}=10^{-12}$ watts/meter ${ }^{2}$ , what is the intensity of a sound for which the decibel level of the sound measures 99 ? Round off your answer to three decimal places.
Answer How to enter your answer (opens in new window) Keyboard Sh $\square$ watts/meter ${ }^{2}$

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Problem 23783

Anwendungsbezogene Kurvendiskussion 2 Die Gesamtkosten $K$ (in 100,00 EUR) eines Herstellers von Massenartikeln in einem Jahr kann man beschreiben durch die Funktion $K$ mit $K(x)=x^{3}-8 x^{2}+24 x+100$ . Dabei ist $x$ der Output in $1000 \mathrm{Stück/Jahr}$ . Die Kapazitätsgrenze liegt bei 12000 Stück/Jahr. Diskutieren Sie die Funktion und interpretieren Sie die Ergebnisse.

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Problem 23784

Самостоятельная работа по теме: «Свойства степеней» ВАРИАНТ 2 o 1. Представьте в виде степени произведение: 1) $x^{9} x^{2}$ ; 2) $7^{11} \cdot 7^{3}$ 3) $(a+b)(a+b)^{7}$ 4) $a a^{7}$ ; 5) $m^{4} m^{5} m^{11}$

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Problem 23785

What is the axis of symmetry for this quadratic function? $\begin{array}{c} f(x)=2 x^{2}-3 x+6 \\ x=\frac{[?]}{\square} \end{array}$
Axis of Symmetry: $x=\frac{-b}{2 a}$ Simplify your answer completely.

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Problem 23786

Exercice 1 (C) -35 min 07 pt
On considère les polynômes $P$ et $Q$ définis par: $P(x)=-x^{3}-6 x^{2}+9 x+14 \text { et } Q(x)=x^{4}-5 x^{2}+4$
1. a) Vérifier que $(-1)$ est une racine de $P$ . b) Factoriser alors $P(x)$ . c) Résoudre dans $\mathbb{R}$ l'équation $P(x)=0$
En déduire l'ensemble des solutions dans IR de l'équation $x \sqrt{x}-6 x-9 \sqrt{x}+14=0$ b) a) Factoriser le trinôme $T(x)=x^{2}-5 x+4$ . c) En déduire une factorisation du polynôme $Q(x)$ . b) Résoudre dans $\mathbb{R}$ l'équation $\sqrt{Q(x)}=2$ d) Soit $f(x)=\frac{P(x)-Q(x)}{x^{2}+2 x+5}$ a/ Déterminer le domaine de définition de $f$ . b/ Montrer que $f(x)=-x^{2}+x+2$ et vérifier que $f(x)-f(x+1)=2 x$ c/ En déduire la somme $S_{n}=1+2+3+\cdots+n$ où n est un entier naturel supérieur à 2 .

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Problem 23787

Date: Name: $\qquad$ $\qquad$ RECOGNIZING STRUCTURE TO SOLVE TWO STEP EQUATIONS N-GEN MATH ${ }^{\text {(8) }} 7$ HOMEWORK
Fluency
1. Which of the following is the solution to: $5(x+7)=50$ ? (1) $x=1$ (3) $x=3$ (2) $x=8$ (4) $x=11$
2. Which value below solves the equation: $\frac{n-6}{2}=4$ ? (1) $n=10$ (3) $n=8$ (2) $n=14$ (4) $n=7$
3. Solve each of the following equations in two different ways: (1) by reversing the order of operations and (2) by using the distributive property to simplify the left-hand side. (a) $5(x+3)=45$
Method (1) Method (2) (b) $3(n-7)=27$
Method (1) Method (2) N-Gen Matis 7, Unit 6-Linear Equations and Inequalties - Lesson 5 eMATHinstruction, RED HooK, NY 12571, 02020

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Problem 23788

4 Хоёр машины нэг нь нөгөөгөөс 20\%-оор их хурдтай бол машинуудын хурдны харьцааг олоорой. Хэрэв нэг машин нь 60 км/ц хурдтай бол нөгөө машин ямар хурдтай байх вэ?

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Problem 23789

$h(x) = x \tan(2 \sqrt{x}) + 7$

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Problem 23790

TICE TEST
21 Mark for Review
In the $x y$ -plane, line $\ell$ passes through the point $(0,0)$ and is parallel to the line represented by the equation $y=8 x+2$ . If line $\ell$ also passes through the point $(3, d)$ , what is the value of $d$ ? $\square$
Answer Preview: $\square$ Show Keypad

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Problem 23791

Какая операция будет выполняться первой в выражении $K \vee K \& C$ ?

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Problem 23792

9. Find the zeros of $f(x)=x(x+2)^{3} .$
List them in order of least to greatest, separated by commas. If the multiplicity is more than one, only list the zero once.

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Problem 23793

Вариант 2 1) Выполните умножение одночленов a) $\frac{3}{4} x y^{2} \cdot 16 y$ б) $1,6 a^{2} c \cdot\left(-2 a c^{2}\right)$ в) $-x^{3} y^{4} \cdot 1,4 x^{6} y^{5}$ 2) Возведите одночлен в указанную степень a) $\left(-10 x^{2} y^{6}\right)^{3}$ б) $\left(-\frac{1}{3} x y\right)^{4}$ в) $-\left(3 a^{2} b\right)^{3}$ 3) Выполните действия a) $35 a \cdot(2 a)^{2}$ в) $\left(-\frac{1}{8} x^{2} y^{3}\right) \cdot\left(2 x^{6} y\right)^{4}$

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Problem 23794

Find the equation of the axis of symmetry of the function $y=2 x^{2}-7 x+5$

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Problem 23795

Вариант 1 1) Выполните умножение одночленов a) $\frac{2}{3} a \cdot 12 a b^{2}$ б) $0,5 x^{2} y \cdot(-x y)$ в) $-0,4 x^{4} y^{2} \cdot 2,5 x^{2} y^{4}$ 2) Возведите одночлен в указанную степен а) $\left(-\frac{1}{2} a b\right)^{3}$ б) $-\left(2 k x^{2}\right)^{2}$ B) $\left(-10 s^{3} b^{2}\right)^{4}$ 3) Выполните действия a) $20 a^{3} \cdot(5 a)^{2}$ б) $-0,4 x^{5}$ $\left(2 x^{3}\right)^{4}$ в) $\left(3 x^{6} y^{3}\right)^{4} \cdot\left(-\frac{1}{81} x y^{2}\right)$

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Problem 23796

INDEPENDENT Use the eliminatio 1 $\begin{array}{l} 3 x-y=9 \\ 2 x-y=7 \end{array}$

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Problem 23797

EXERCICE 2 (04 points) Un jeune agriculteur décide de pratiquer de la culture sous serre dans son champ. A cet effet, il choisit dans son plan de représentation un repère orthonormal $(O ; \vec{u}, \vec{v})$ . Il place dans ce repère deux points $A$ et $B$ dont les affixes respectives $z_{A}$ et $z_{B}$ sont des racines du polynôme $P$ défini par: $P(z)=2 z^{3}-3(1+i) z^{2}+4 i z+1-i, \text { où } z \in C .$
Son objectif est de pratiquer sa culture sous serre dans l'ensemble ( $E$ ) des points $M$ de son plan de représentation tels que $\|\overrightarrow{M A}+\overrightarrow{M B}+2 \overrightarrow{M O}\| \leq 2$ , qui contient un point du segment $[A B]$ . 1) Vérifier que 1 et $i$ sont des racines de $P$ . 2) Déterminer le polynôme $g$ tel que $P(z)=(z-1)(z-i) g(z)$ . 3) Résoudre dans $\mathbb{C}$ l'équation $P(z)=0$ . (0,5 pt) (0,5 pt) (0,5 pt) 4) On pose $z_{A}=1, z_{B}=i$ et $z_{C}=\frac{1}{2}+\frac{1}{2} i$ . a) Placer les points $A, B$ et $C$ d'affixes respectives $z_{A}, z_{B}$ et $z_{C}$ dans le repère orthonormal $(O ; \vec{u}, \vec{v})$ en choisissant comme unite graphique 4 cm . ( $0,75 \mathrm{pt}$ ) b) Démontrer que $C$ est le milieu de $[A B]$ , puis que $C$ appartient à l'ensemble $(E)$ ., ( $0,5 \mathrm{pt}$ ) c) Déterminer l'affixe $z_{G}$ du point $G$ barycentre du système $\{(A, 1) ;(B, 1) ;(0,2)\}$ , puis placer $G$ . ( $0,5 \mathrm{pt}$ ) 5) Déterminer puis construire l'ensemble ( $E$ ) des points $M$ du plan tels que $\|\overrightarrow{M A}+\overrightarrow{M B}+2 \overrightarrow{M O}\| \leq 2$ ( $0,5 \mathrm{pt}$ ) 6) Le jeune agriculteur atteindra-t-il son objectif? ( $0,25 \mathrm{pt}$ )

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Problem 23798

On considère la suite $\left(U_{n}\right)_{n \in I N} U_{0}=3, U_{n+1}=\frac{3 U_{n}+2}{U_{n}+2}$ 1) Montrer que $\forall n \in I N \quad U_{n}>2$ 2) Montrer que $\left(U_{n}\right)$ est décroissante. En déduire que $\left(U_{n}\right)$ est convergente 3) a-Montrer $\forall n \in I N U_{n+1}-2 \leq \frac{1}{4}\left(U_{n}-2\right)$ $b$ - En déduire $\forall n \in I N \quad U_{n}-2 \leq\left(\frac{1}{4}\right)^{n}$ c - Calculer $\lim _{x \rightarrow+\infty} U_{n}$

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Problem 23799

(4) $\begin{array}{l}(3 m-n=7) 7 \\ 21 m+6 n=-29\end{array}$

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Problem 23800

Write the following equation in its equivalent logarithmic form. $\sqrt[3]{64}=4$
The equation in logarithmic form is $\square$ (Type an equation.)

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Algebra

Problem 23701

Determine if the graph can represent a polynomial function. If so, assume that the end behavior and all turning points are represented in the graph.

Problem 23702

5 ptsQuestion 4Daniah deposits $4,000\$ 4,000$4,000 in a savings account at New York State Bank that pays 5.4%5.4 \%5.4% interest, compounded monthly. What is the amount of interest at the end of the year?

Problem 23703

The length of a rectangle is 2 cm longer than its width. If the perimeter of the rectangle is 64 cm , find its length and width. □\square□

Problem 23704

Problem 23705

Problem 23706

Problem 23707

5 ptsDaniah deposits $4,000\$ 4,000$4,000 in a savings account at New York State Bank that pays 5.4%5.4 \%5.4% interest, compounded monthly. What is the APY for this account to the nearest hundredth of a percent?

Problem 23708

−5(9w−3)811(8v+10)\begin{array}{|c|c|c|} \hline -5(9w-3) & 8 & 11(8v+10) \\ \hline \end{array}−5(9w−3)​8​11(8v+10)​​

Problem 23709

0/1p0 / 1 \mathrm{p}0/1pSolve the following system of equations with the substitution method: {x+4y=−32y=−2x+6\left\{\begin{array}{ll} x+4 y & =-32 \\ y & =-2 x+6 \end{array}\right.{x+4yy​=−32=−2x+6​Answer: (x,y)=1(x, y)=1(x,y)=1 □\square□ Preview xxx : □\square□ Preview yyy :

Problem 23710

15 one Dicit DivisoRs The teacher worked a total of 68 hours one school week (five days). She worked the same amount of time every day except for Thursday when she worked extra (your remainder). How many hours did she work each day? How many hours did she work Thursday?

Problem 23711

Jose deposits $5000\$ 5000$5000 into an account that pays simple interest at a rate of 5%5 \%5% per year. How much interest will he be paid in the first 4 years? s! □\square□

Problem 23712

25) أو جد أعلى قيمة للدالة f(x)=−2x2+5x−7f(x)=-2 x^{2}+5 x-7f(x)=−2x2+5x−7

Problem 23713

In Exercises 8-10, graph the function. Compare the graph to the graph of the parent function. Identify the yyy-intercepts and asymptotes of the graph. Find the domain and range of fff.8. f(x)=5(14)xf(x)=5\left(\frac{1}{4}\right)^{x}f(x)=5(41​)x

Problem 23714

Problem 23715

Problem 23716

Problem 23717

Problem 23718

a) (x3+3x2−3x−2)÷(x−1)\left(x^{3}+3 x^{2}-3 x-2\right) \div(x-1)(x3+3x2−3x−2)÷(x−1)

Problem 23719

Problem 23720

=== V=6V=6V=6 ===

Problem 23721

Factor the trinomial completely. x2−10x+9x^{2}-10 x+9x2−10x+9Select the correct choice below and, if necessary, fill in the answer box to complete your choice A. x2−10x+9=□x^{2}-10 x+9=\squarex2−10x+9=□ (Type your answer in factored form:) B. The polynomial is prime.

Problem 23722

Problem 23723

Problem 23724

Problem 23725

5=5(4n−1)35=\frac{5(4 n-1)}{3}5=35(4n−1)​

Problem 23726

Graph f(x)=log⁡2(1−x)f(x)=\log _{2}(1-x)f(x)=log2​(1−x) below. First locate the vertical asymptote, then plot two points on the graph.Clear All Draw: □\square□ Check Answer

Problem 23727

Solve the equation. * 5x−6=295 x-6=295x−6=29 x=3x=3x=3 x=5x=5x=5 x=7x=7x=7 x=9x=9x=9

Problem 23728

Solve. 5.4=−t7.5t=\begin{aligned} 5.4 & =-\frac{t}{7.5} \\ t & = \end{aligned}5.4t​=−7.5t​=​

Problem 23729

Problem 23730

Problem 23731

\begin{tabular}{|l|l|l|} \hlinea4a9\frac{a^{4}}{a^{9}}a9a4​ & p4q6p2q8\frac{p^{4} q^{6}}{p^{2} q^{8}}p2q8p4q6​ & 2x2y34xy5\frac{2 x^{2} y^{3}}{4 x y^{5}}4xy52x2y3​ \\ \hline \end{tabular}

Problem 23732

Problem 23733

Solve the equation. * 3x+8=23 x+8=23x+8=2 x=−4x=-4x=−4 x=−2x=-2x=−2 x=2x=2x=2 x=4x=4x=4

Problem 23734

Problem 23735

Problem 23736

Problem 23737

Problem 23738

(A-C) weekly assignments18 - 11/25 ignment Overview 1 ply Binomials : 2/4 Penalty: none stion Watch Vide press as a trinomial. (3x−7)(x−4)(3 x-7)(x-4)(3x−7)(x−4)Answer □\square□ Submit Ans

Problem 23739

Solve for www. (w+2)2=2w2+11w+16(w+2)^{2}=2 w^{2}+11 w+16(w+2)2=2w2+11w+16If there is more than one solution, separate them with commas.

Problem 23740

Problem 23741

Fill in the blank so that the resulting statement is true. If log⁡7(x+5)=4\log _{7}(x+5)=4log7​(x+5)=4, then \qquad =x+5=x+5=x+5.If log⁡7(x+5)=4\log _{7}(x+5)=4log7​(x+5)=4, then □\square□ =x+5=x+5=x+5.

Problem 23742

Fill in the blank so that the resulting statement is true. If log⁡7(x+5)=4\log _{7}(x+5)=4log7​(x+5)=4, then \qquad =x+5=x+5=x+5.If log⁡7(x+5)=4\log _{7}(x+5)=4log7​(x+5)=4, then □\square□ =x+5=x+5=x+5. □\square□

Problem 23743

c) 4x−5<2x−74 x-5<2 x-74x−5<2x−7

Problem 23744

Problem 23745

Problem 23746

Problem 23747

16. x−y=5x-y=5x−y=5

Problem 23748

Solve the following system of equations. 5x+3y+z=−35x−3y+2z=−714x−2y+3z=−78\begin{aligned} 5 x+3 y+z & =-35 \\ x-3 y+2 z & =-7 \\ 14 x-2 y+3 z & =-78 \end{aligned}5x+3y+zx−3y+2z14x−2y+3z​=−35=−7=−78​

Problem 23749

a) −1<3+4x<5-1<3+4 x<5−1<3+4x<5

Problem 23750

Han offe one test score with the score earned here. Please state what reak таке ноте тest 2) Solve the following equation for m. y = mx + b

Problem 23751

5 pts
Question 4
Daniah deposits $\$ 4,000$ in a savings account at New York State Bank that pays $5.4 \%$ interest, compounded monthly. What is the amount of interest at the end of the year?

The length of a rectangle is 2 cm longer than its width. If the perimeter of the rectangle is 64 cm , find its length and width. $\square$

5 pts
Daniah deposits $\$ 4,000$ in a savings account at New York State Bank that pays $5.4 \%$ interest, compounded monthly. What is the APY for this account to the nearest hundredth of a percent?

$\begin{array}{|c|c|c|} \hline -5(9w-3) & 8 & 11(8v+10) \\ \hline \end{array}$

$0 / 1 \mathrm{p}$
Solve the following system of equations with the substitution method: $\left\{\begin{array}{ll} x+4 y & =-32 \\ y & =-2 x+6 \end{array}\right.$
Answer: $(x, y)=1$ $\square$ Preview $x$ : $\square$ Preview $y$ :

Jose deposits $\$ 5000$ into an account that pays simple interest at a rate of $5 \%$ per year. How much interest will he be paid in the first 4 years? s! $\square$

25) أو جد أعلى قيمة للدالة $f(x)=-2 x^{2}+5 x-7$

In Exercises 8-10, graph the function. Compare the graph to the graph of the parent function. Identify the $y$ -intercepts and asymptotes of the graph. Find the domain and range of $f$ .
8. $f(x)=5\left(\frac{1}{4}\right)^{x}$

a) $\left(x^{3}+3 x^{2}-3 x-2\right) \div(x-1)$

$=$ $V=6$ $=$

Factor the trinomial completely. $x^{2}-10 x+9$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice A. $x^{2}-10 x+9=\square$ (Type your answer in factored form:) B. The polynomial is prime.

$5=\frac{5(4 n-1)}{3}$

Graph $f(x)=\log _{2}(1-x)$ below. First locate the vertical asymptote, then plot two points on the graph.
Clear All Draw: $\square$ Check Answer

Solve the equation. * $5 x-6=29$ $x=3$ $x=5$ $x=7$ $x=9$

Solve. $\begin{aligned} 5.4 & =-\frac{t}{7.5} \\ t & = \end{aligned}$

\begin{tabular}{|l|l|l|} \hline $\frac{a^{4}}{a^{9}}$ & $\frac{p^{4} q^{6}}{p^{2} q^{8}}$ & $\frac{2 x^{2} y^{3}}{4 x y^{5}}$ \\ \hline \end{tabular}

Solve the equation. * $3 x+8=2$ $x=-4$ $x=-2$ $x=2$ $x=4$

(A-C) weekly assignments
18 - 11/25 ignment Overview 1 ply Binomials : 2/4 Penalty: none stion Watch Vide press as a trinomial. $(3 x-7)(x-4)$
Answer $\square$ Submit Ans

Solve for $w$ . $(w+2)^{2}=2 w^{2}+11 w+16$
If there is more than one solution, separate them with commas.

Fill in the blank so that the resulting statement is true. If $\log _{7}(x+5)=4$ , then $\qquad$ $=x+5$ .
If $\log _{7}(x+5)=4$ , then $\square$ $=x+5$ .

Fill in the blank so that the resulting statement is true. If $\log _{7}(x+5)=4$ , then $\qquad$ $=x+5$ .
If $\log _{7}(x+5)=4$ , then $\square$ $=x+5$ . $\square$

c) $4 x-5<2 x-7$

16. $x-y=5$

Solve the following system of equations. $\begin{aligned} 5 x+3 y+z & =-35 \\ x-3 y+2 z & =-7 \\ 14 x-2 y+3 z & =-78 \end{aligned}$

a) $-1<3+4 x<5$

Solve. $|4 x-7|=8$

$2(3 x+5)=10+4(2 x-3)$
Use the keypad to enter the answer in the box. $x=$

$2 x+12=4$

11) 0.7515 moles of nitrogen gas and 0.1135 moles of methane gas are placed in a 171.6 ml container at $20.8^{\circ} \mathrm{C}$ . What is the partial pressure (atm) of nitrogen gas? A) 1.14 B) 0.473 C) 16.0 D) 106 E) 226

Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation for the parabola's axis of symmetry. Use the graph to determine the function's domain and range. $f(x)=x^{2}+6 x+3$
What is the vertex? $\square$ (Type an ordered pair.)

Determine whether the relation in the mapping diagram is a function.
Use the drop-down arrows to complete the sentences.
The relation in the mapping diagram $\square$ a function because $\square$

Solve for $y$ in the equation below. Round your answer to the nearest hundredth. Do not round any intermediate computations. $e^{-3 y}=5$

Solve for $y$ in the equation below. Round your answer to the nearest hundredth. Do not round any intermediate computations. $e^{y-3}=9$