Browse Algebra problems Studdy Solved!

Problem 2001

The value of 142 dimes and quarters is $\$ 29.20$ . How many are dimes and how many are quarters?

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Problem 2002

If the federal government used the progressive tax rate below for individual income tax, calculate the federal income tax owed on a $\$ 48,200$ salary. \begin{tabular}{|r|c|} \hline Standard Deduction & \begin{tabular}{r} $\$ 12,200$ \\ \hline Income Range (\) \end{tabular} \\ \hline 0-\quad 9,700 & 10 \% \\ \hline 9,701-39,475 & 12 \% \\ \hline 39,476-84,200 & 22 \% \\ \hline 84,201-160,275 & 24 \% \\ \hline 160,276+ & 32 \%$ \\ \hline \end{tabular}
Tax $=\$[?]$

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Problem 2003

"Four times the difference of a number and nine is $-30 . "$

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Problem 2004

Subtract. Write your answer in simplified form $\frac{x}{5}-\frac{1}{4}$

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Problem 2005

k) $5 g+34=-2(1-7 g)$ l) $12 t+8=\overline{3} t+71$ n) $-q-6=-10 q+57$ o) $3 c-5=-8(6+5 c)$

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Problem 2006

1) $12 t+8=3 t+71$

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Problem 2007

m) $2(4 a-3)-8=4+2 a$ n) $-q-6=-10 q+57$

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Problem 2008

4. Factor each difference of squares. Look for common factors first. a) $x^{2}-4$ b) $25 m^{2}-49$ c) $16 y^{2}-9$ d) $12 c^{2}-27$ e) $2 x^{4}-32$ f) $3 n^{4}-12$

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Problem 2009

Solve the inequality. Graph the solution set. $|0.3 x-2.4|>0.3$
Select the correct choice below and, if necessary, fill in the answer box to complete you A. The solution is one or more intervals. The solution is $\square$ . (Type your answer in interval notation. Simplify your answer. Use integers or dec B. There are only one or two solutions. The solution set is \{ $\square$ \}. (Type an integer or a fraction. Use a comma to separate answers as needed.) C. There is no solution.

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Problem 2010

Solve the inequality. Graph the solution set. $|0.3 x-2.1|>0.3$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is one or more intervals. The solution is $\square$ (Type your answer in interval notation. Simplify your answer. Use integers or decimals for any numbers in the exp B. There are only one or two solutions. The solution set is \{ $\square$ 3. (Type an integer or a fraction. Use a comma to separate answers as needed.) C. There is no solution.

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Problem 2011

\begin{tabular}{c|l} $Q=m c\left(t_{2}-t_{1}\right)$ & $\mathrm{m}=$ \\ \hline $d=v t+\frac{1}{2} a t^{2}$ & $\mathrm{v}=$ \\ \hline $d=v t+\frac{1}{2} a t^{2}$ & $\mathrm{a}=$ \\ \hline $Q=m c\left(t_{2}-t_{1}\right)$ & $\mathrm{t}_{2}=$ \\ \hline $A=\frac{B}{C}-D$ & $\mathrm{C}=$ \\ \hline $F=\frac{G m m}{r^{2}}$ & r \\ \hline $F=\frac{G m m}{r^{2}}$ & $\mathrm{G}=$ \\ \hline \end{tabular}
The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.
Dialogue Transcript:
Hi there! It looks like you have a list of equations where you're trying to solve for specific variables. Could you please clarify which specific variable you need to solve for in the given equations? Here are the equations extracted:
1. $Q = m c (t_2 - t_1)$
2. $d = v t + \frac{1}{2} a t^2$
3. $A = \frac{B}{C} - D$
4. $F = \frac{G m m}{r^2}$
Just let me know which variable you need to solve for in each equation, and I'll be happy to help out! For 2. It’s v

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Problem 2012

Solve by the substitution method. $\begin{array}{l} 2 x+3 y=21 \\ x=15-2 y \end{array}$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set of the system is $\square$ \}. (Simplify your answer. Type an ordered pair.) B. There are infinitely many solutions. C. The solution set is the empty set.

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Problem 2013

Solve the inequality. Graph the solutions. $\left|\frac{x+6}{2}\right|>3$
Select the correct choice below and fill in any answer boxes in your choice. A. The solution is $\mathrm{x}<$ $\square$ or $x>$ $\square$ - (Type integers or simplified fractions.) B. The solution is $\square$ $<x<$ $\square$ (Type integers or simplified fractions.) C. The solution is $\mathrm{x}=$ $\square$ - (Type an integer or a simplified fraction.) D. The solution is all real numbers. E. There is no solution.

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Problem 2014

Two of the most expensive cars in the world are car $A$ and car $B$ . The prices of these two cars differ by more than $\$ 10,000$ . The price of car $A$ is $\$ 130,745$ . a. Assuming that you do not know which model is more expensive, write an absolute value inequality that describes this situation. Use x for the price of car B . b. What are the possibilities for the price of car $B$ ? a. Write an absolute value inequality that describes the given situation. $\square$ (Do not include the $\$$ symbol in your answer.) Help me solve this View an example Get more help a Clear al 16

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Problem 2015

$[-/ 2$ Points] DETAILS MY NOTES SALGTRIG4 1.7.044.MI.
Solve the nonlinear inequality. Express the solution using interval notation. $x^{2}+2 x>3$

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Problem 2016

$-f+2+4 f=8-3 f$

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Problem 2017

$2+1.25 f=10-2.75 f$

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Problem 2018

$m^{2} n + p\left(2 p + 3 m^{2} n\right)$

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Problem 2019

$2 d+4=10+2.5 d$

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Problem 2020

$\frac{9}{4} y-12=\frac{1}{4} y-4$

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Problem 2021

\#1. For each area model below, fill in any missing boxes, then write the area as both a product and sum.
Product and sum: $\qquad$ Product and sum: $\qquad$

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Problem 2022

$2-16 t=6(-3 t+2)$

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Problem 2023

LINE Fall 2024 vork: Section 8.2 Homework list 不 Question 16, 8.2.34 > HW Score: 66.67%, 12 of 18 points O Points: 0 of 1 Briley Quillen 09/07/24 5:57 PM Save The temperature at which water freezes is 32° Fahrenheit (0° Celsius), and the temperature at which water boils is 212° Fahrenheit (100° Celsius). Find the constants m and b in the formula F=mC+b that expresses the Fahrenheit temperature F as a function of the Celsius temperature C 7 8 9 m= and b=

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Problem 2024

Write the domain and the range of the function as an inequality, using set notation, and using interval notation. Also describe the end behavior of the function or explain why there is no end behavior.
5. The graph of the quadratic function $f(x)=x^{2}+2$ is shown.
6. The graph of the exponential function $f(x)=3^{x}$ is shown.

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Problem 2025

Simplify each expression. 1) $4 u^{9} \times\left(-2 u^{3}\right)=$

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Problem 2026

20. Book sales in the United States (in billions of dollars) were approximated at 15.2 in the year 1990. The book sales increased by 0.6 billion each year. Find a sequence to represent the book sales for the next four years, and write a recursive formula to represent the sequence. Graph the sequence and predict the number of book sales in 2003.

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Problem 2027

View Policies
Current Attempt in Progress Two trains, each having a speed of $35 \mathrm{~km} / \mathrm{h}$ , are headed at each other on the same straight track. A bird that can fly $70 \mathrm{~km} / \mathrm{h}$ flies off the front of one train when they are 70 km apart and heads directly for the other train. On reaching the other train it flies directly back to the first train, and so forth. (We have no idea why a bird would behave in this way.) What is the total distance the bird travels?
Number i Units eTextbook and Media Assistance Used Attempts: 0 of 5 used Submit Answer Save for Later Using multiple attempts will impact your score.

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Problem 2028

Draw the graph of $f(x)=(x-1)^{2}+4$ below.
Clear All Draw: 少ハVে

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Problem 2029

A 56 -inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece is 4 times as long as the first piece. If $x$ represents the length of the first piece, find the lengths of all three pieces.
What is the length of the first piece? $\square$ $\square$ $i n^{2}$ . in.

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Problem 2030

8. Given the function $f(x)=\left\{\begin{array}{lr} -2 x+4, & 0 \leq x<8 \\ -5 x+11, & x \geq 8 \end{array}\right.$ is the function increasing or decreasing over the interval $[2,7]$ ? Find the rate of change over this interval.

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Problem 2031

In the sport competition, France won more gold medals than Italy, who won more gold medals than Korea. If the total number of gold medals won by these three countries is three consecutive integers whose sum is 15 , find the number of gold medals won by each.
France won $\square$ medals, Italy won $\square$ medals, and Korea won $\square$ medals.

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Problem 2032

Let $\begin{array}{l} f(x)=\frac{x+2}{x+7} \\ f^{-1}(-4)= \end{array}$

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Problem 2033

compute the monthly cost for a subscriber, where $x$ is the number of $C(x)=\left\{\begin{array}{ll} 19.99 & \text { if } 0<x \leq 250 \\ 0.25 x-42.51 & \text { if } x>250 \end{array}\right.$
Compute the monthly cost of the cellular phone for use of the followi (a) 150 (b) 300 (c) 251 (a) $C(150)=\$ \square$ (Round to the nearest cent as needed.)

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Problem 2034

Problem: Determine the accumulated value of an investment of $\$ 10,000$ for 5 years at a yearly interest rate of $5.5 \%$ if the money is compounded semiannually.

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Problem 2035

Part 1 of 2 Score: $93.68 \%, 17.8$ of 19 points Save
Josh wanted to buy a bike but didn't have enough money. Sam Slick said, "I can fix that. Each time you jump that fence, I'll double your money. There's one small thing though. Each time I pay you, you must give me $\$ 48$ back for the privilege of jumping." Josh agreed, jumped the fence, received his payment from Sam Slick, and paid Sam $\$ 48$ . Repeating the routine 2 more times, Josh was distressed to find that, on the last jump, after Sam had made his payment to Josh, Josh had only $\$ 48$ with which to pay Sam and so had nothing left. Sam, of course, went merrily on his way, leaving Josh wishing that he had known a little more about mathematics. (a) How much money did Josh have before he made his deal with Sam? (b) Suppose the problem is the same, but this time Josh jumps the fence 4 times before running out of money. How much money did Josh start with this time? (a) Josh had $\$$ $\square$ before he made his deal with Sam.

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Problem 2036

$\frac{3}{4}(2 x-3)=\frac{6}{5}(3 x+1)$

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Problem 2037

In Exercises 17-20, find the equation of the line with slope $m$ that passes through the given point.
17. $m=1 ;(3,5)$
18. $m=2 ;(-2,1)$
19. $m=-1 ;(6,2)$
20. $m=0 ;(-4,-5)$

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Problem 2038

Solve the equation for x : $15=\frac{x+2}{-3}$ (1 point) $x=-32$ $x=16$ $x=-47$ $x=-7$

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Problem 2039

In Exercises 35-42, find an equation for the line satisfying the given conditions.
35. through $(-2,1)$ with slope 3
36. $y$ -intercept -7 and slope 1
37. through $(2,3)$ and parallel to $3 x-2 y=5$
38. through $(1,-2)$ and perpendicular to $y=2 x-3$

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Problem 2040

A bowling ball traveling with constants speed hits the pins at the end of a bowling lane 16.5 m long. The bowler hears the sound of the ball hitting the pins 2.80 s after the ball is released from his hands. What is the speed of the ball, assuming the speed of sound is $340 \mathrm{~m} / \mathrm{s}$ ?

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Problem 2041

44. Solve for $x$ : $7+x=15$

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Problem 2042

Exercise 1-15 (Algo) Identifying effects of transactions using the accounting equation LO P1
Ming Chen started a business and had the following transactions in June. a. Owner Invested $\$ 66,000$ cash in the company along with $\$ 10,000$ of equipment in exchange for its common stock. b. The company paid $\$ 1,100$ cash for rent of office space for the month. c. The company purchased $\$ 10,000$ of additional equipment on credit (payment due within 30 days). d. The company completed work for a cllent and immediately collected $\$ 1,700$ cash. e. The company completed work for a client and sent a bill for $\$ 8,200$ to be recelved within 30 days. f. The company purchased additional equipment for $\$ 6,300$ cash. g. The company paid an assistant $\$ 2,900$ cash as wages for the month. h. The company collected $\$ 4,500$ cash as a partial payment for the amount owed by the client in transaction e.
1. The company pald $\$ 10,000$ cash to settle the liability created in transaction $c$ . J. The company paid $\$ 1,200$ cash in dividends to the owner (sole shareholder)
Required: Complete the table using additions and subtractions to show the dollar effects of the transactions on individual items of the accounting equation. Show new balances after each transaction. Note: Enter decreases to account balances with a minus sign.

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Problem 2043

49. Write an expression for "three timesa number a number minus four."
Student First 7.1

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Problem 2044

Open with $-=$ 4.

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Problem 2045

Determine whether the given ordered pair is a solution of the system of equations. $\begin{array}{r} (4,5) ; \quad-4 x+y=-11 \\ 3 x+y=7 \end{array}$

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Problem 2046

Name the property of inequality thateach statement illustrates.
3. If $m<6=m<7$ , then $m<7=m<6$
4. $m<1=m<2$ and $m<2=m<5$ . So, $m<1=m<5$ .
5. If $J K=K L$ and $K L=16$ , then $J K=16$ .
6. $Z Y=Z Y$

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Problem 2047

7. Efectúese las siguientes multiplicaciones y expresar el resultado de la forma mas simple a) $\sqrt{b} \sqrt[3]{b} \sqrt[5]{b}$ b) $\left(\frac{\sqrt{5}-\sqrt{2}}{3}\right)^{2}$ c) $\sqrt[3]{\frac{3}{5}} \div \sqrt[3]{\frac{2}{15}}$

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Problem 2048

9. $\frac{2+i}{3-2 i}$
10. $\frac{2+i-2 i^{3}}{2 i^{3}+4}$
11. $\frac{2+2 \sqrt{3}}{1-\sqrt{3}}$

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Problem 2049

Suppose we modify the production model to obtain the following mathematical model:
``` Max 13x s.t. ax}\leq4 x}\geq ``` where $a$ is the number of hours required for each unit produced. With $a=5$ , the optimal solution is $x=9.6$ . If we have a stochastic model in which the value of $a$ varies between 3 and 6 (i.e., $a=3, a=4, a=5$ , or $a=6$ ) as the possible values for the number of hours required per unit, what is the optimal value for $x$ ? (Round your answers to two decimal places. Let $P$ be total profit.) (a) $a=3$ $\begin{array}{l} x=\square \\ P=\square \end{array}$ (b) $\begin{array}{l} a=4 \\ x=\square \\ P=\square \end{array}$ (c) $\begin{array}{l} a=5 \\ x=9.6 \\ P=\square \end{array}$ $\square$ (d) $\begin{array}{l} a=6 \\ x=\square \\ P=\square \end{array}$ (e) What problems does this stochastic model cause?
Since the value of $a$ is -- Select--- $\hat{v}$ , the values of $x$ and profit -- Select $-\hat{v}$ known with certainty.

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Problem 2050

\begin{tabular}{|c|c|c|} \hline $y=$ & $|x|$ & $y$ is.. \\ \hline $x_{1}$ & $\because y_{1}$ & \\ \hline-4 & 4 & \\ \hline-3 & 3 & $\square$ \\ \hline - & 3 & A \ \\ \hline-2 & 2 & ・ \\ \hline-1 & 1 & $\sim \sim \sim$ \\ \hline 0 & 0 & DNDOH \\ \hline 1 & 1 & $\square$ \\ \hline & & $+1+1$ \\ \hline 2 & 2 & a+iO \\ \hline 3 & 3 & $\because$ \\ \hline 4 & 4 & H1MMHAMM1MO \\ \hline \end{tabular} \begin{tabular}{|c|c|c|} \hline & & $y$ is a number squared \\ \hline $x_{1}$ & $\because y_{1}$ & HHH \\ \hline-4 & 2 & $\square$ M \\ \hline-3 & 9 & $\rightarrow$ 的 \\ \hline-2 & - & \\ \hline-1 & 1 & 0. \\ \hline 0 & 0 & a \\ \hline 1 & 1 & \\ \hline & & - 1 - 1 - 1 \\ \hline 2 & ・ & $\therefore$ Z \\ \hline 3 & 9 & $4-1$ \\ \hline 4 & 2 & \\ \hline \end{tabular}

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Problem 2051

Solve Guass Elimination $\begin{array}{r} x-2 z=-1 \\ -2 x+y+z=6 \\ x+y-5 z=3 \end{array}$

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Problem 2052

Write an equation for the function whose graph is described. the shape of $f(x)=x^{3}$ , but shifted 16 units to the right $g(x)=$

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Problem 2053

1. $m^{5} n^{2}+m n^{2}+n^{6}$ The degree of the polynomial is 5 The degree of the polynomial is 6 The degree of the polynomial is 7 The polynomial is a monomial The polynomial is a binomial The polynomial is a trinomial

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Problem 2054

Use the savings plan formula to answer the following question. A friend has an IRA with an APR of $6.25 \%$ She started the IRA at age 23 and deposits $\$ 70$ per month. How much will her IRA contain when she retires at age 65? Compare that amount to the total deposits made over the time period.
After retirement the IRA will contain $\$$ $\square$ (Do not round until the final answer. Then round to the nearest cent as needed.) The total deposits made over the time period is $\$$ $\square$ (Type a whole number.)

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Problem 2055

Determine whether the function has an inverse function. $f(x)=\sqrt{x-1}, \quad x \geq 1$ Yes, $f$ does have an inverse. No, $f$ does not have an inverse.
If it does, find the inverse function. (If an answer does not exist, enter DNE.) $f^{-1}(x)=$ $\square$ $x \geq 0$

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Problem 2056

Evaluate the real world polynomial. (1 point each) Charlize wants to measure the depth of an empty well. She drops a ball into the well and measures how long it takes the ball to hit the bottom of the well. She uses a stopwatch, starting when she lets go of the ball and ending when she hears the ball hit the bottom of the well. The polynomial $h=-16 t^{2}+6$ represents how far the ball has fallen after $t$ seconds.
4. How far has the ball fallen after one second? -10 feet
5. Charlize's stopwatch measured a time of 3.2 seconds when the ball hit the bottom of the well. How deep is the well?

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Problem 2057

\begin{tabular}{|c|c|c|} \hline $x+3 y=6$ & Function & Not a function \\ \hline $x=2 y^{2}-3$ & Function & Not a function \\ \hline $y=4 x$ & Function & Not a function \\ \hline $x=-9 y$ & Function & Not a function \\ \hline \end{tabular}

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Problem 2058

Solve the equation and check. $\begin{array}{l} \frac{x}{7}+2=9 \\ x=\square \end{array}$

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Problem 2059

Solve the equation and check. $x=\square \quad 15 x-22=18$

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Problem 2060

Solve the equation and check. $x=\square 3 x-8=11$

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Problem 2061

Indicate graph function $r(x) = -4x^2$

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Problem 2062

Solve the equation and check. $y=\square 4 y+4=7 y-14$

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Problem 2063

Solve the equation and check. $x=\square$

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Problem 2064

Solve the equation and check. $x=\square \quad 23=-5(x-3)$

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Problem 2065

Let $f(x)=2 \sqrt{x}$ If $g(x)$ is the graph of $f(x)$ shifted up 1 units and right 5 units, write a formula for $g(x)$ . $g(x)=$

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Problem 2066

Solve the equation and check. $x=\square$

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Problem 2067

Solve the equation and check. $x=\square$

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Problem 2068

Solve the equation and check. $a=\square$

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Problem 2069

Solve the equation and check. $y=\square(y-3(y-2)=6(y+1)$

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Problem 2070

Solve the equation and check. $x=\square$

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Problem 2071

Solve the equation and check. $x=\square(5+9(x+8)=77-6(4 x+11)$

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Problem 2072

Solve the equation and check. $y=\square$

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Problem 2073

Solve the equation and check. $x=\square \frac{x}{2}+\frac{2 x+4}{4}=\frac{x-1}{6}-\frac{3-2 x}{3}$

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Problem 2074

Solve the equation and check. $x=\square \frac{x}{7}-\frac{1}{14}=\frac{50}{28}$

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Problem 2075

Solve the equation and check. $x=\square \frac{1}{2}+\frac{x}{9}=\frac{5}{2}$

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Problem 2076

Given that $\mathrm{g}(\mathrm{x})=3 \mathrm{x}^{2}-4 \mathrm{x}+2$ , find each of the following. a) $g(0)$ b) $g(-2)$ c) $g(3)$ d) $g(-x)$ e) $g(1-t)$

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Problem 2077

Solve the proportion. (Simplify your answer completely.) $x=\square \frac{x}{30}=\frac{35}{45}$

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Problem 2078

ASK YOUR TEACHER
Solve the proportion. (Simplify your answer completely. Round your answer to three significant digits.) $\begin{array}{l} \frac{94.5}{6.78}=\frac{x}{19.9} \\ x=\square \end{array}$

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Problem 2079

Find the domain of the following function. Do not use a g $f(x)=\frac{1}{x^{2}-2 x-3}$
The domain is $\square$ (Type your answer in interval notation.)

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Problem 2080

Evaluate the function $f(x)=x^{2}+4 x-4$ at the given values of the independent variable and simplify a. $f(-2)$ b. $f(x+7)$ c. $f(-x)$ a. $f(-2)=$ $\square$ (Simplify your answer.) b. $f(x+7)=$ $\square$ (Simplify your answer) c. $f(-x)=\square$ $\square$ (Simplify your answer)

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Problem 2081

40. [-/1 Points] DETAILS MY NOTES EWENMATH12 6.4.001. 0/100 Submissions Used
ASK YOUR TEACHER
Solve the equation and check. $x=\square \frac{2 x}{3}=\frac{24}{6}$

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Problem 2082

Evaluate the function $f(x)=x^{2}+4 x-4$ at the given values of the independent variable and simplify a. $f(-2)$ b. $f(x+7)$ c. $f(-x)$ a. $f(-2)=\square$ $\square$ (Simplify your answer.) b. $f(x+7)=$ $\square$ (Simplify your answer) c. $f(-x)=$ $\square$ (Simplify your answer)

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Problem 2083

Fran swims at a speed of 2.4 mph in still water. The Lazy River flows at a speed of 0.2 mph . How long will it take Fran to swim 4.4 mi upstream? 4.4 mi downstream?
It will take Fran $\square$ $\square$ to swim 4.4 mi upstream (Type an integer or a simplified fraction.) It will take Fran $\square$ $\square$ to swim 4.4 mi downstream. (Type an integer or a simplified fraction.)

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Problem 2084

$5(4-5 x)^{2}-8(4-5 x)(2 x-1)$

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Problem 2086

Completely factor the expression. $9 x^{3}-72$

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Problem 2087

Mai Jun wants to buy the gaming laptop on hire-purchase. She pays a deposit of $20 \%$ of the cash price and the remaining will be paid in 24 monthly instalments of $\$ 134.68$ at a simple interest rate of $r \%$ per annum. (a) Calculate the extra amount she pays compared to the cash price. $\begin{array}{l} \text { Mepsit }=\frac{20}{100} \times \$ 3848 \\ =\$ 769.60 \\ \text { extra paid }=\$ 4001.92-\$ 3848 \\ =\$ 133.92 \end{array}$ $\begin{aligned} 24 \text { monthy instalmets } & =\$ 134.68 \times 24 \\ & =\$ 3232.32 \\ \text { Chire-prohase) } & =\$ \begin{aligned} \text { Total amant of movey } & =\$ 3232.32+\$ 769.60 \\ & =\$ 4001.92 \end{aligned} \end{aligned}$
Answer \ $153.92$ \qquad $[3] (b) Hence or otherwise, calculate the value of$ r$.

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Problem 2088

Complete the table for the equation $x+2 y=9$ , and graph the equation. \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 0 & 4.5 \\ \hline 9 & 0 \\ \hline 5 & 2 \\ \hline 1 & 4 \\ \hline \end{tabular}
Use the graphing tool to graph the line using two points. $\square$ Click to enlarge riranh
Selected: $\square$ none $\square$ $\zeta$ V $\square$ $\cup$ $\square$ C Delete Clear $?$ Clear all Check answer

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Problem 2089

Example 4.16 Sketch the graph of each of the following functi Hence, state its domain and range. (a) $f(x)=3^{x+1}$ . (b) $f(x)=3^{x}-1$ . (c) $f(x)=3^{x}+1$ (d) $f(x)=3^{x}$ . (e) $f(x)=\left(\frac{1}{4}\right)^{x+1}$ (f) $f(x)=\left(\frac{1}{4}\right)^{x}-1$ (g) $f(x)=-\left(\frac{1}{4}\right)^{x}+1$ (h) $f(x)=-\left(\frac{1}{4}\right)^{x+1}$

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Problem 2090

In Exercises 15-18, find the $k$ th partial sum of the geometric sequence $\left\{u_{n}\right\}$ with common ratio $r$ .
15. $k=6, u_{1}=5, r=\frac{1}{2}$
16. $k=8, u_{1}=9, r=\frac{1}{3}$

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Problem 2091

Find the $x$ - and $y$ -intercepts. Then graph the equation. $x+4 y=0$ (a) What is the $x$ -intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The $x$ -intercept is $\square$ I. (Simplify your answer. Type an ordered pair.)

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Problem 2092

9. $f(x)=\frac{1}{1+x^{2}}$ бол $f(-x), f(x-3), f\left(\frac{1}{x}\right), 2 f(x), \frac{1}{4} f(x)+5 f\left(\frac{1}{x}\right)$ -ийг ол.

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Problem 2093

10. 6o. - thin $f(x)=\frac{3 x+1}{3-2 x^{2}}$ бол $f(1-x)$ -ийг ол.

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Problem 2094

12. Find the values of $x$ and $y$ when $x(3-2 i)+y(10-5 i)-(1-4 i)=0$ .

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Problem 2095

A jazz concert brought in $\$ 127,000$ on the sale of 8,000 tickets. If the tickets sold for $\$ 10$ and $\$ 20$ each, how many of each type of ticket were sold?
The number of $\$ 10$ tickets is . $\square$

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Problem 2096

Set up an appropriate equation and solve. Data are accurate to two significant digits.
Approximately 5.7 million wrecked cars are recycled in two consecutive years. There were 300,000 more recycled the second year than the first year. How many cars are recycled each year?
Let $x$ be the number of cars, in millions, recycled in the first year. Write an equation for the total number of cars recycled. $\square$ (Type an equation. Do not solve. Use integers or decimals for any numbers in the equation.)

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Problem 2097

Set up an appropriate equation and solve. Data are accurate to two significant digits.
Two gasoline distributors, $A$ and $B$ , are 238 mi apart on a certain interstate. A charges $\$ 2.60 / \mathrm{gal}$ and $B$ charges $\$ 2.30 / \mathrm{gal}$ . Each charges $0.3 \phi / \mathrm{gal}$ per mile for delivery. Where on the interstate is the cost to the customer the same? are equal. Express all values in terms of cents. A. $(260+0.3) d=(230+0.3)(238-d)$ B. $260+0.3(238-d)=230+0.3 d$ C. $260+0.3 \mathrm{~d}=230+0.3(238-\mathrm{d})$ D. $(260+0.3)(238-d)=(230+0.3) d$
The cost is the same when a customer is $\square$ mi from distributor A. (Type an integer or a decimal.)

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Problem 2098

$\left\{\begin{array}{l} c(1)=-20 \\ c(n)=c(n-1)+10 \end{array}\right.$
Find the $2^{\text {nd }}$ term in the sequence. $\square$

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Problem 2099

What is the next term of the geometric sequence? $2,10,50$ $\square$

See Solution

Problem 2100

Set up an appropriate equation and solve. Data are accurate to two significant digits.
Two gasoline distributors, $A$ and $B$ , are 238 mi apart on a certain interstate. A charges $\$ 2.60 / \mathrm{gal}$ and $B$ charges $\$ 2.30 / \mathrm{gal}$ . Each charges $0.3 \notin / \mathrm{gal}$ per mile for delivery. Where on the interstate is the cost to the customer the same? B. $\angle v u+U . s(\angle s v-a)=\angle s u+U . s a$ C. $260+0.3 \mathrm{~d}=230+0.3(238-\mathrm{d})$ D. $(260+0.3)(238-d)=(230+0.3) d$
The cost is the same when a customer is 69 mi from distributor $A$ . (Type an integer or a decimal.) The cost is the same when a customer is $\square$ mi from distributor B. (Type an integer or a decimal.)

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Algebra

Problem 2001

The value of 142 dimes and quarters is $29.20\$ 29.20$29.20. How many are dimes and how many are quarters?

Problem 2002

Problem 2003

"Four times the difference of a number and nine is −30."-30 . "−30."

Problem 2004

Subtract. Write your answer in simplified form x5−14\frac{x}{5}-\frac{1}{4}5x​−41​

Problem 2005

k) 5g+34=−2(1−7g)5 g+34=-2(1-7 g)5g+34=−2(1−7g) l) 12t+8=3‾t+7112 t+8=\overline{3} t+7112t+8=3t+71 n) −q−6=−10q+57-q-6=-10 q+57−q−6=−10q+57 o) 3c−5=−8(6+5c)3 c-5=-8(6+5 c)3c−5=−8(6+5c)

Problem 2006

1) 12t+8=3t+7112 t+8=3 t+7112t+8=3t+71

Problem 2007

m) 2(4a−3)−8=4+2a2(4 a-3)-8=4+2 a2(4a−3)−8=4+2a n) −q−6=−10q+57-q-6=-10 q+57−q−6=−10q+57

Problem 2008

4. Factor each difference of squares. Look for common factors first. a) x2−4x^{2}-4x2−4 b) 25m2−4925 m^{2}-4925m2−49 c) 16y2−916 y^{2}-916y2−9 d) 12c2−2712 c^{2}-2712c2−27 e) 2x4−322 x^{4}-322x4−32 f) 3n4−123 n^{4}-123n4−12

Problem 2009

Problem 2010

Problem 2011

Problem 2012

Problem 2013

Problem 2014

Problem 2015

[−/2[-/ 2[−/2 Points] DETAILS MY NOTES SALGTRIG4 1.7.044.MI.Solve the nonlinear inequality. Express the solution using interval notation. x2+2x>3x^{2}+2 x>3x2+2x>3

Problem 2016

−f+2+4f=8−3f-f+2+4 f=8-3 f−f+2+4f=8−3f

Problem 2017

2+1.25f=10−2.75f2+1.25 f=10-2.75 f2+1.25f=10−2.75f

Problem 2018

m2n+p(2p+3m2n) m^{2} n + p\left(2 p + 3 m^{2} n\right) m2n+p(2p+3m2n)

Problem 2019

2d+4=10+2.5d2 d+4=10+2.5 d2d+4=10+2.5d

Problem 2020

94y−12=14y−4\frac{9}{4} y-12=\frac{1}{4} y-449​y−12=41​y−4

Problem 2021

\#1. For each area model below, fill in any missing boxes, then write the area as both a product and sum.Product and sum: \qquad Product and sum: \qquad

Problem 2022

2−16t=6(−3t+2)2-16 t=6(-3 t+2)2−16t=6(−3t+2)

Problem 2023

Problem 2024

Problem 2025

Simplify each expression. 1) 4u9×(−2u3)=4 u^{9} \times\left(-2 u^{3}\right)=4u9×(−2u3)=

Problem 2026

Problem 2027

Problem 2028

Draw the graph of f(x)=(x−1)2+4f(x)=(x-1)^{2}+4f(x)=(x−1)2+4 below.Clear All Draw: 少 ハVে

Problem 2029

Problem 2030

Problem 2031

Problem 2032

Let f(x)=x+2x+7f−1(−4)=\begin{array}{l} f(x)=\frac{x+2}{x+7} \\ f^{-1}(-4)= \end{array}f(x)=x+7x+2​f−1(−4)=​

Problem 2033

Problem 2034

Problem: Determine the accumulated value of an investment of $10,000\$ 10,000$10,000 for 5 years at a yearly interest rate of 5.5%5.5 \%5.5% if the money is compounded semiannually.

Problem 2035

Problem 2036

34(2x−3)=65(3x+1)\frac{3}{4}(2 x-3)=\frac{6}{5}(3 x+1)43​(2x−3)=56​(3x+1)

Problem 2037

In Exercises 17-20, find the equation of the line with slope mmm that passes through the given point.17. m=1;(3,5)m=1 ;(3,5)m=1;(3,5)18. m=2;(−2,1)m=2 ;(-2,1)m=2;(−2,1)19. m=−1;(6,2)m=-1 ;(6,2)m=−1;(6,2)20. m=0;(−4,−5)m=0 ;(-4,-5)m=0;(−4,−5)

Problem 2038

Solve the equation for x : 15=x+2−315=\frac{x+2}{-3}15=−3x+2​ (1 point) x=−32x=-32x=−32 x=16x=16x=16 x=−47x=-47x=−47 x=−7x=-7x=−7

Problem 2039

Problem 2040

Problem 2041

44. Solve for xxx : 7+x=157+x=157+x=15

Problem 2042

Problem 2043

49. Write an expression for "three timesa number a number minus four."Student First 7.1

Problem 2044

Open with −=-=−= 4.

Problem 2045

Determine whether the given ordered pair is a solution of the system of equations. (4,5);−4x+y=−113x+y=7\begin{array}{r} (4,5) ; \quad-4 x+y=-11 \\ 3 x+y=7 \end{array}(4,5);−4x+y=−113x+y=7​

Problem 2046

Name the property of inequality thateach statement illustrates.3. If m<6=m<7m<6=m<7m<6=m<7, then m<7=m<6m<7=m<6m<7=m<64. m<1=m<2m<1=m<2m<1=m<2 and m<2=m<5m<2=m<5m<2=m<5. So, m<1=m<5m<1=m<5m<1=m<5.5. If JK=KLJ K=K LJK=KL and KL=16K L=16KL=16, then JK=16J K=16JK=16.6. ZY=ZYZ Y=Z YZY=ZY

Problem 2047

Problem 2048

9. 2+i3−2i\frac{2+i}{3-2 i}3−2i2+i​10. 2+i−2i32i3+4\frac{2+i-2 i^{3}}{2 i^{3}+4}2i3+42+i−2i3​11. 2+231−3\frac{2+2 \sqrt{3}}{1-\sqrt{3}}1−3​2+23​​

Problem 2049

Problem 2050

Problem 2051

The value of 142 dimes and quarters is $\$ 29.20$ . How many are dimes and how many are quarters?

"Four times the difference of a number and nine is $-30 . "$

Subtract. Write your answer in simplified form $\frac{x}{5}-\frac{1}{4}$

k) $5 g+34=-2(1-7 g)$ l) $12 t+8=\overline{3} t+71$ n) $-q-6=-10 q+57$ o) $3 c-5=-8(6+5 c)$

1) $12 t+8=3 t+71$

m) $2(4 a-3)-8=4+2 a$ n) $-q-6=-10 q+57$

4. Factor each difference of squares. Look for common factors first. a) $x^{2}-4$ b) $25 m^{2}-49$ c) $16 y^{2}-9$ d) $12 c^{2}-27$ e) $2 x^{4}-32$ f) $3 n^{4}-12$

$[-/ 2$ Points] DETAILS MY NOTES SALGTRIG4 1.7.044.MI.
Solve the nonlinear inequality. Express the solution using interval notation. $x^{2}+2 x>3$

$-f+2+4 f=8-3 f$

$2+1.25 f=10-2.75 f$

$m^{2} n + p\left(2 p + 3 m^{2} n\right)$

$2 d+4=10+2.5 d$

$\frac{9}{4} y-12=\frac{1}{4} y-4$

\#1. For each area model below, fill in any missing boxes, then write the area as both a product and sum.
Product and sum: $\qquad$ Product and sum: $\qquad$

$2-16 t=6(-3 t+2)$

Simplify each expression. 1) $4 u^{9} \times\left(-2 u^{3}\right)=$

Draw the graph of $f(x)=(x-1)^{2}+4$ below.
Clear All Draw: 少ハVে

Let $\begin{array}{l} f(x)=\frac{x+2}{x+7} \\ f^{-1}(-4)= \end{array}$

Problem: Determine the accumulated value of an investment of $\$ 10,000$ for 5 years at a yearly interest rate of $5.5 \%$ if the money is compounded semiannually.

$\frac{3}{4}(2 x-3)=\frac{6}{5}(3 x+1)$

In Exercises 17-20, find the equation of the line with slope $m$ that passes through the given point.
17. $m=1 ;(3,5)$
18. $m=2 ;(-2,1)$
19. $m=-1 ;(6,2)$
20. $m=0 ;(-4,-5)$

Solve the equation for x : $15=\frac{x+2}{-3}$ (1 point) $x=-32$ $x=16$ $x=-47$ $x=-7$

44. Solve for $x$ : $7+x=15$

49. Write an expression for "three timesa number a number minus four."
Student First 7.1

Open with $-=$ 4.

Determine whether the given ordered pair is a solution of the system of equations. $\begin{array}{r} (4,5) ; \quad-4 x+y=-11 \\ 3 x+y=7 \end{array}$

Name the property of inequality thateach statement illustrates.
3. If $m<6=m<7$ , then $m<7=m<6$
4. $m<1=m<2$ and $m<2=m<5$ . So, $m<1=m<5$ .
5. If $J K=K L$ and $K L=16$ , then $J K=16$ .
6. $Z Y=Z Y$

9. $\frac{2+i}{3-2 i}$
10. $\frac{2+i-2 i^{3}}{2 i^{3}+4}$
11. $\frac{2+2 \sqrt{3}}{1-\sqrt{3}}$

Solve Guass Elimination $\begin{array}{r} x-2 z=-1 \\ -2 x+y+z=6 \\ x+y-5 z=3 \end{array}$

Write an equation for the function whose graph is described. the shape of $f(x)=x^{3}$ , but shifted 16 units to the right $g(x)=$

1. $m^{5} n^{2}+m n^{2}+n^{6}$ The degree of the polynomial is 5 The degree of the polynomial is 6 The degree of the polynomial is 7 The polynomial is a monomial The polynomial is a binomial The polynomial is a trinomial

\begin{tabular}{|c|c|c|} \hline $x+3 y=6$ & Function & Not a function \\ \hline $x=2 y^{2}-3$ & Function & Not a function \\ \hline $y=4 x$ & Function & Not a function \\ \hline $x=-9 y$ & Function & Not a function \\ \hline \end{tabular}

Solve the equation and check. $\begin{array}{l} \frac{x}{7}+2=9 \\ x=\square \end{array}$

Solve the equation and check. $x=\square \quad 15 x-22=18$

Solve the equation and check. $x=\square 3 x-8=11$

Indicate graph function $r(x) = -4x^2$

Solve the equation and check. $y=\square 4 y+4=7 y-14$

Solve the equation and check. $x=\square$

Solve the equation and check. $x=\square \quad 23=-5(x-3)$

Let $f(x)=2 \sqrt{x}$ If $g(x)$ is the graph of $f(x)$ shifted up 1 units and right 5 units, write a formula for $g(x)$ . $g(x)=$

Solve the equation and check. $x=\square$

Solve the equation and check. $x=\square$

Solve the equation and check. $a=\square$

Solve the equation and check. $y=\square(y-3(y-2)=6(y+1)$

Solve the equation and check. $x=\square$

Solve the equation and check. $x=\square(5+9(x+8)=77-6(4 x+11)$

Solve the equation and check. $y=\square$

Solve the equation and check. $x=\square \frac{x}{2}+\frac{2 x+4}{4}=\frac{x-1}{6}-\frac{3-2 x}{3}$

Solve the equation and check. $x=\square \frac{x}{7}-\frac{1}{14}=\frac{50}{28}$