Linearity

Problem 4601

Solve the system of equations: $3x + y = 2$ and $2x - y = 4$ .

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Problem 4602

Find the equation of a line parallel to the one with slope $1/2$ that passes through $(0,-3)$ .

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Problem 4603

Find a linear equation for the line through $(1,4)$ with slope 6.

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Problem 4604

Find the linear equation of the line through the points $(1,-6)$ and $(-1,-1)$ . $y(x) =$

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Problem 4605

A 9-foot ribbon is cut into two pieces, with one piece being 1 foot longer. Find the lengths of the pieces.

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Problem 4606

Matt took clothes to the cleaners. He paid for 3 trips: 4 shirts + 1 for \$15.95, 7 shirts + 4 slacks + 2 coats for \$50.87, and 5 shirts + 1 coat for \$21.94. Find the cost of each shirt, slacks, and coat.

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Problem 4607

Find a linear equation for the line passing through the points $(0.5,-0.75)$ and $(1,-5.75)$ . $y(x)=$

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Problem 4608

A tower is three times the height of a building and is 50 m taller. Find the height of the tower.

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Problem 4609

A basketball team sold tickets for \$10, \$20, and \$30, totaling 3157 tickets and \$59,930. How many \$10 tickets were sold?

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Problem 4610

Evaluate $f(x)=\frac{1}{2} x$ for $f(0)$ , $f(10)$ , and $f(-10)$ . What are the results?

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Problem 4611

A basketball team sold tickets for \$10, \$20, and \$30. They sold 3157 tickets total, with 166 more \$20 than \$10. Total sales: \$59,930. Find the number of each ticket type sold. How many \$10 tickets were sold? 1104. How many \$20 tickets were sold?

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Problem 4612

A business club invested \$72,000 in three parts at different rates. Total interest was \$5640. Find the amounts of each part.

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Problem 4613

Next week, you charged \$9 per guest with 39 guests on average. Find:
(a) The linear demand equation $q(p)=$ (b) The revenue function $R(p)=$ (c) The cost function $C(p)=-25.5p+488$

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Problem 4614

Invest \$9,000 in bonds rated AAA (4%), A (5%), and B (8%) for \$470 return. Invest twice as much in AAA as B.

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Problem 4615

Next week, you charge \$9 per guest with 39 guests on average.
(a) Find the demand equation $q(p)=$ . (b) Find revenue $R(p)=$ . (c) Given costs $C(p)=-25.5p+488$ , find profit $P(p)=$ . (d) Determine break-even entrance fees $p=$ (two values, rounded to two decimals).

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Problem 4616

A basketball team sold tickets for \$10, \$20, and \$30, totaling 3123 tickets and \$58,810 in sales. Find the number of each ticket type sold.

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Problem 4617

Find the first full year when the percent change in beer shipments reaches $-34\%$ using $y=-4.1x+28.7$ . What does $-34\%$ mean?

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Problem 4618

Predict diamond production using $f(x)=-3.09 x+148.37$ for 2026, where $x$ is years after 2017. Result: \$ \square billion.

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Problem 4619

A basketball team sold 3123 tickets for \$10, \$20, and \$30. There are 266 more \$20 tickets than \$10. Total sales are \$58,810. Find the number of each ticket sold.

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Problem 4620

A \$37,000 investment was split into three parts with interest rates of 8\%, 6\%, and 9\%. Total interest is \$3030. The first part's interest is 6 times the second's. Find the amounts of each part.

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Problem 4621

A hockey team played 12 games: won 2 more than lost, lost 1 more than tied. Find wins, losses, and ties.

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Problem 4622

Write a conditional from $7 x-7=42$ implies $7 x=49$ . Choose the correct option: A, B, C, or D.

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Problem 4623

Find the inverse function $f^{-1}(x)$ for $f(x) = 2x + 16$ . What is $f^{-1}(x)$ ?

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Problem 4624

Find the cost to manufacture each additional Kinect using $C(x)=150x+30$ . Estimate the cost for 37 Kinects.

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Problem 4625

Find the inverse function $f^{-1}(x)$ if $f(x) = \frac{x}{4} - 5$ . What is $f^{-1}(x) = [?] x + []$ ?

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Problem 4626

RideEm Bicycles can make 170 bikes for \$10,300 and 190 bikes for \$10,900.
(a) Find the cost function $C(x)=$ . (b) What are the fixed costs in dollars? (c) What are the variable costs in dollars?

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Problem 4627

Given \$7,500:
(a) Create a linear function for development fee $p$ based on contracts $q$ :
p(q)=
(b) Find total revenue $R$ from $q$ contracts:
R(q)=
(c) Monthly costs: Fixed: \ $150,000, Variable: \$1,500q. Cost function$ C(q)=
(d) Profit function $P(q)=
(e) Find break-even contracts signed: ISeeYou breaks even at contracts.

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Problem 4628

Charge \ $9 per guest, average 39 guests. Find demand$ q(p) $, revenue$ R(p) $, profit$ P(p)$, and break-even fees.

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Problem 4629

ISeeYou charges \$7,500.
(a) Create a linear function for the fee $p$ for $q$ contracts: $p(q)=$ . (b) Determine total revenue $R$ from $q$ contracts: $R(q)=$ . (c) Monthly costs: Fixed \ $150,000, Variable \$1,500 per contract. Find cost function:$ C(q)=$.

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Problem 4630

Find the inverse of the function $f(x)=3x+9$ . What is $f^{-1}(x)=\frac{x}{[?]}+$ ?

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Problem 4631

Find the inverse function $f^{-1}(x)$ for $f(x) = \frac{x}{9} + 1$ . What is $f^{-1}(x) = [?] x + []$ ?

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Problem 4632

Next week, you charged \$9 per guest with an average of 39 guests.
(a) Find the demand equation $q(p)=$ . (b) Find revenue $R(p)=$ . (c) Given $C(p)=-25.5p+488$ , find profit $P(p)=$ . (d) Determine break-even entrance fees, rounded to two decimal places.

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Problem 4633

Given cell phone sales and prices for Q1 2009 and 2010, find the demand function $q(p)$ . Predict sales at \$156. Also, determine the sales decrease per \$1 price increase.

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Problem 4634

Next week, you charged \$9 per guest with 39 guests on average.
(a) Find the demand equation $q(p)=$ . (b) Find the revenue function $R(p)=$ . (c) Given costs $C(p)=-25.5p+488$ , find profit $P(p)=$ . (d) Find break-even entrance fees, rounding to two decimal places.

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Problem 4635

Solve the equation $7+3(x-2)=2x+10$ by applying the distributive property. What is the first step?

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Problem 4636

List the four steps to solve a linear equation from these options: isolate variable, check solution, collect terms, simplify.

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Problem 4637

Next week, you charge \$9 per guest with 39 guests on average.
(a) Find the demand equation $q(p)=$ . (b) Find revenue $R(p)=$ . (c) Costs $C(p)=-25.5p+488$ , find profit $P(p)=$ . (d) Determine break-even entrance fees $p=$ .

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Problem 4638

RideEm Bicycles produces 170 bikes for \ $10,300 and 190 bikes for \$10,900. Find the cost function$ C(x)$ and fixed/variable costs.

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Problem 4639

Mark earns \$1,650/month. New job pays \$9.80/hour + overtime. Find overtime hours to match weekly earnings.

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Problem 4640

Solve the equation $2x = 2$ .

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Problem 4641

Tina, Dawn, and Harry have a total of \$ 175. If Tina has 3 times Dawn's amount and Dawn has 2 times Harry's, find their amounts.

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Problem 4642

A 10-foot board is cut into 3 pieces. One piece is 1 foot longer than the shortest and 2 feet shorter than the longest. Find the lengths.

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Problem 4643

Terri has $\frac{1}{4}$ of her father's and $\frac{1}{7}$ of her grandfather's Canadian stamps. Together they have 120 stamps. How many does each have?

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Problem 4644

Solve for the number in the equation: 9 - $\frac{x}{7} = -5$ .

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Problem 4645

Find $a$ , $b$ , $c$ , and $d$ in a 3x3 magic square where each row, column, and diagonal sums to 45.

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Problem 4646

The pool drains at 3 inches/hour. After 5 hours, the depth is 32 inches. Find the point-slope equation.

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Problem 4647

Graph the equation $y-32=-3(x-5)$ to find how long it takes to empty the pool.

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Problem 4648

Find the total distance driven after 3.5 more hours if $y=65x+80$ and $x$ is the driving time in hours.

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Problem 4649

How many extra hours must Joe work to match Tim's earnings in 4 hours if Joe earns \$20/hour and Tim earns \$30/hour?

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Problem 4650

Joe's income grows by a constant amount each year. It was \$24,400 in year 1 and \$31,000 in year 7. When was it \$35,400?

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Problem 4651

Find the percent change in beer shipments from 2007 to 2010 using $y=-3.9 x+27.3$ . What is $x$ for 2010? $x=$

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Problem 4652

Find the percent change in beer shipments since 2007 by 2010 using $y=-3.9x+27.3$ . What is $y$ for $x=10$ ?

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Problem 4653

Find the first year when percent change in beer shipments reaches $-34\%$ using $y=-4.1x+28.7$ . What does $-34\%$ represent? A. Slope B. $x$ C. $y$ D. $y$ -intercept.

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Problem 4654

Find the first year when beer shipment change is $-34\%$ using $y=-3.7x+25.9$ . What does $-34\%$ represent? A. y B. slope C. y-intercept D. x

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Problem 4655

Jo and Mo share \$26, with Jo getting \$5 more than Mo. What is the ratio of Jo's money to Mo's money in simplest form?

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Problem 4656

Identify the graph and describe the solution set for the inequalities: $y < -3x - 2$ and $y > -3x + 8$ .

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Problem 4657

Is the Celsius temperature proportional to Fahrenheit? Use the formula $F = \frac{9}{5}C + 32$ for conversion.

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Problem 4658

Solve the inequality $-3(x-3) \leq 5(1-x)$ . What is the solution for $x$ ?

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Problem 4659

A clown weighs $60 \mathrm{lb}$ more than a trapeze artist, who is two-thirds the clown's weight. Find their weights. Choices: $110, 120, 125$ .

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Problem 4660

A store sells a 2.5-pound bag of mixed nuts for \$9.25. Check if these bags are proportional: a. 4.4 lbs for \$16.28, b. 3.2 lbs for \$12. Yes/No.

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Problem 4661

Solve the equation -5y + 16 = 11. Provide the answer as an integer, fraction, or decimal rounded to two decimal places.

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Problem 4662

Solve the equation: $3.92y - 7.72y - 5.67 = 3.03$ . Provide your answer as an integer, fraction, or rounded decimal.

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Problem 4663

This table contains a pattern. A two row table is shown. \begin{tabular}{|l|l|l|l|l|l|} \hline Bicycles & 1 & 2 & 3 & 4 & 5 \\ \hline Wheels & 2 & 4 & 6 & & \\ \hline \end{tabular}
What 2 numbers will correctly extend the pattern?

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Problem 4664

Write an equation in slope-intercept form for the line with slope $\frac{1}{4}$ and $y$ -intercept 3 .

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Problem 4665

21. John wants to get a gym membership. He is deciding between two gyms. Gym A charges a monthly flat rate of $\$ 20$ , plus $\$ 2$ per visit. Gym B charges a monthly flat rate of $\$ 15$ , plus $\$ 3$ per visit. a) Create the two equations -
Gym A: Gym B: b) Find the POI. What does this represent?

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Problem 4666

ixl.com
Graph this line using the slope and $y$ -intercept: $y=-\frac{1}{3} x-8$
Click to select points on the graph. Submit Work it out

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Problem 4667

Dom dic 1 ixl.com
Graph this line using the slope and $y$ -intercept: $y=-\frac{3}{4} x-2$
Click to select points on the graph. Submit Work it out

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Problem 4668

8:21 p.m. Dom dic 1 ixl.com
Graph this line using the slope and $y$ -intercept: $y=\frac{8}{3} x-1$
Click to select points on the graph. Submit Work it out

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Problem 4669

Graph this line using the slope and $y$ -intercept: $y=\frac{2}{3} x-10$
Click to select points on the graph. Submit

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Problem 4670

Short Answer
6. a) Determine the slope of the line that passes through the point: $(-2,-3)$ and $(5,4)$ .

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Problem 4671

Graph this line: $y-6=\frac{2}{5}(x+3)$
Click to select points on the graph. Practice in the app

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Problem 4672

8. [-/1.61 Points]
DETAILS MY NOTES OSCOLALG1 2.2.904.XP. Solve for the variable. $8(5+1)-23 b=b$ $b=$

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Problem 4673

Let $x$ represent the number of hours that Trenton spends studying algebra, and let $y$ represent the number of hours he spent studying history. For parts (a)-(e), write an inequality to represent the given statement.
Part 1 of 6 (a) Trenton has a total of at most 7 hr to study for both algebra and history combined.
An inequality that represents this statement is $x+y \leq 7$ .
Part: $1 / 6$
Part 2 of 6 (b) Trenton will spend at least 1 hr studying algebra.
An inequality that represents this statement is $\square$

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Problem 4674

Use the method of elimination to solve the following system of equations. If the system is dependent, express the solution set in terms of one of the variables. Leave all fractional answers in fraction form. $\left\{\begin{aligned} x-5 y & =-21 \\ -3 x+15 y & =66 \end{aligned}\right.$

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Problem 4675

Solve for $n$ 1) $8 \times n=280$ 2) $\underline{n \times 9}=20.7$ 3) $13 \times n=156$ 4) $\frac{3}{8} \times n=15$
Find the value of $n$ . Check your answer. 5) $12 \frac{3}{5} \underline{n}=$ $\overline{15} 5$ 13) $100=\frac{n}{5}$ 9) $\frac{14}{56}=\frac{n}{12}$ Text Predictions: On Th Accessibility: Unavailable Focus

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Problem 4676

Find the equation of the line in the form $y=m x+b$ *
101503

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Problem 4677

Find the slope of the line passing through the given points. $(-4,4),(-6,10)$
The slope of the line is $\square$ 16 (Type an integer or a simplified fraction.)

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Problem 4678

Modify the problem slightly using the following information. \begin{tabular}{|l|l|l|l|} \hline Product & Weight & Value & Number \\ \hline Apple & 25 & 6.1 & 600 \\ \hline Banana & 35 & 6.35 & 500 \\ \hline Nectarine & 45 & 6.2 & 550 \\ \hline Peach & 30 & 6.55 & 650 \\ \hline \end{tabular}
Suppose that instead of one big truck, you hlave four smaller ones, each with a weight limit of 20,000 and a package limit of 900 . Set this up with variables for the number of boxes shipped for each truck. This will give you 16 decision variables. You will need to constrain the total number shipped, as well as the weight and number of boxes per truck. Use the simplex method.
Which fruit will be shipped on several different trucks?

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Problem 4679

Question Watch Video Show Examples
A variable needs to be eliminated to solve the system of equations below. Choose the correct first step. $\begin{aligned} 9 x-8 y & =-8 \\ -8 x+8 y & =0 \end{aligned}$
Answer Subtract to eliminate $\mathbf{y}$ . Submit Answer Subtract to eliminate $\mathbf{x}$ . Add to eliminate $\mathbf{y}$ . Add to eliminate $\mathbf{x .}$

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Problem 4680

Solve for $y$ . $-30=4 y+2(y+6)$
Simplify your answer as much as possible. $y=$

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Problem 4681

Solve for $n$ . $\begin{array}{l} 5 m+11 n=d \\ n=0 \end{array}$ $\square$ $\square$

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Problem 4682

Solve for $s$ . $\begin{array}{l} -10 r+12 s=-6 \\ s=[] \end{array}$

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Problem 4683

$4 a-4 c+5 a-c+a$

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Problem 4684

Translate the following phrase into an algebraic expression: six times seven $y$ less than ten.

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Problem 4685

1 Fill in the Blank 5 points
Jenna intends on baking an apple pie and a sweet potato pie for Thanksgiving. She spends $\$ 10$ purchasing apples and sweet potatoes. Suppose apples cost \ $1.25 each, and sweet potatoes cost$ \ $1$ each. Let $a$ represent the number of apples she purchases, and $s$ represent the number of sweet potatoes she purchases. a) Write an equation in standard form that describes the possible number of apples $a$ and number of sweet potatoes $s$ Jenna purchases with \ $10. type your answer...$ a+ $type your answer...$ s= $type your answer... b) Write an equation in slope-intercept form that describes the possible number of apples$ a $and number of sweet potatoes$ s $Jenna purchases with \$10.$ s=\square $type your answer...$ a+ $type your answer...$ \square $c) If Jenna spends \$10 and purchases only 4 apples, how many sweet potatoes did she purchase?$ s= $type your answer... d) Use the combination of apples and sweet potatoes from part (c) to write an equation in point-slope form that describes the possible number of apples$ a $and number of sweet potatoes$ s $Jenna purchases with \$10.$ s- $type your answer... = type your answer...$ \square $(a- type your answer... e) True or False: The graph below represents the relation between the possible number of apples$ a $and number of sweet potatoes$ s$ Jenna purchases with \$10.

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Problem 4686

17. You are ordering T-shirts for the Spanish Club. The table shows the orders for 45 students in the club. \begin{tabular}{|c|c|c|} \hline cmad & Medium & Large \\ \hline 11 & $x$ & $y$ \\ \hline \end{tabular} a. How many students ordered medium and large shirts? b. The number of students who ordered a medium T-shirt was two less than the number of students who ordered a large T-shirt. Write a system of linear equations that represents the number of students who ordered medium and large T-shirts. c. Solve the system of linear equations. d. Taume ordering 10 additional medium and large T-shirts for new members whigighe ghe club. Based on your answers in part (c), how many of entinte would you or̃đer? Explain.

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Problem 4687

Find an equation for the line that passes through the points $(-1,2)$ and $(-5,4)$ . $\square$ II

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Problem 4688

$5 c-c+4 c-2 c$

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Problem 4689

smale rombuber $\begin{array}{l} \left\{\begin{array}{l} x+y=22 \\ x-y=46 \end{array}\right. \\ \left\{\begin{array}{l} y-x=22 \\ y-x=46 \end{array}\right. \\ \left\{\begin{array}{l} y+x=46 \\ y-x=22 \end{array}\right. \\ \left\{\begin{array}{l} x+y=46 \\ x-y=22 \end{array}\right. \end{array}$

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Problem 4690

Use the expression below to complete the table. The first column lists parts of the expression. Identify the parts of the expression that correspond to the descriptions to complete the table. $x+2(8+1)-4.8$
Fill in the entries in the table. \begin{tabular}{|l|c|c|} \hline \multicolumn{1}{|c|}{ Description of Part } & \multicolumn{2}{|c|}{ Part } \\ \hline Variable & & \\ \hline Sum & & \\ \hline Product & & \\ \hline Constant numencal value term & & \\ \hline \end{tabular} (Use the operation symbols in the math palette as needed. Do not simplify.)

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Problem 4691

6.) Evaluate the following expression: $-a+12 b+4 c$ if $a=-3-3 \quad b=1 / 4$ and $c=-$ A. 10 $\begin{aligned} - & +(12 \times 1 / 4)+(4 x-4)= \\ & 12 \times \frac{1}{4}=12 / 4 \\ 4 x-4 & =-16 \end{aligned}$ B. -10 $4 x-4=-16$ C. -16 D. 16

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Problem 4692

Write a system of linear equations represented by the augmented matrix. (Use $x$ and $y$ as your variables, each representing the columns in turn. Write the equations for the system in the same order as they appear in the augmented matrix. Do not perform any row operations.) $\left[\begin{array}{rr:r} 6 & 7 & 4 \\ 3 & -2 & \vdots \end{array}\right]$ $\square$ $\square$

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Problem 4693

18. $\begin{array}{l}2 x-5 y=-3 \\ 5 x+2 y=6\end{array}$

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Problem 4694

Part A A hot air balloon is at an altitude of $100 \frac{1}{5}$ yards. The balloon's altitude decreases by $10 \frac{4}{5}$ yards every minute.
Which equation can be used to determine the number of minutes, $m$ , it will take the balloon to reach an altitude of 57 yards? A) $10 \frac{4}{5}+100 \frac{1}{5} m=57$ B) $10 \frac{4}{5}-100 \frac{1}{5} m=57$ C) $100 \frac{1}{5}+10 \frac{4}{5} m=57$ D) $100 \frac{1}{5}-10 \frac{4}{5} m=57$

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Problem 4695

Part A The current temperature is $48^{\circ} \mathrm{F}$ . It is expected to drop $1.5^{\circ} \mathrm{F}$ each hour.
Which equation can be used to find ir how many hours, $h$ , the temperature will be $36^{\circ}$ F? A) $36+48 h=1.5$ B) $48-1.5 h=36$ C) $48+1.5 h=36$ D) $36-1.5 h=48$

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Problem 4696

10 12) -5(a-6)+2a fy each expression. Me (5a+7)

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Problem 4697

Stella is a high school basketball player. In a particular game, she made some free throws (worth one point each) and some two point shots. Stella scored a total of 12 points and made twice as many free throws as two point shots. Graphically solve a system of equations in order to determine the number of free throws made, $x$ , and the number of two point shots made, $y$ .

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Problem 4698

The equations of three lines are given below. Line 1: $y=\frac{2}{3} x+7$ Line 2: $3 y=2 x+5$ Line 3: $4 x-6 y=8$
For each pair of lines, determine whether they are parallel, perpendicular, or neither. Line 1 and Line 2: Parallel Perpendicular Neither Line 1 and Line 3: Parallel Perpendicular Neither Line 2 and Line 3: Parallel Perpendicular Neither

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Problem 4699

The equations of three lines are given below. Line 1: $y=-2 x-8$ Line 2: $3 x-6 y=-6$ Line 3: $y=-2 x+1$
For each pair of lines, determine whether they are parallel, perpendicular, or neith
Line 1 and Line 2 : Parallel Perpendicular Neither Line 1 and Line 3: Parallel Perpendicular Neither Line 2 and Line 3 : Parallel Perpendicular Neither

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Problem 4700

Write an equation of the line below. Explanation Check

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1 ...44 45 46 47 48 49 50 ...77

Linearity

Problem 4601

Solve the system of equations: 3x+y=23x + y = 23x+y=2 and 2x−y=42x - y = 42x−y=4.

Problem 4602

Find the equation of a line parallel to the one with slope 1/21/21/2 that passes through (0,−3)(0,-3)(0,−3).

Problem 4603

Find a linear equation for the line through (1,4)(1,4)(1,4) with slope 6.

Problem 4604

Find the linear equation of the line through the points (1,−6)(1,-6)(1,−6) and (−1,−1)(-1,-1)(−1,−1). y(x)=y(x) = y(x)=

Problem 4605

A 9-foot ribbon is cut into two pieces, with one piece being 1 foot longer. Find the lengths of the pieces.

Problem 4606

Matt took clothes to the cleaners. He paid for 3 trips: 4 shirts + 1 for \$15.95, 7 shirts + 4 slacks + 2 coats for \$50.87, and 5 shirts + 1 coat for \$21.94. Find the cost of each shirt, slacks, and coat.

Problem 4607

Find a linear equation for the line passing through the points (0.5,−0.75)(0.5,-0.75)(0.5,−0.75) and (1,−5.75)(1,-5.75)(1,−5.75). y(x)=y(x)= y(x)=

Problem 4608

A tower is three times the height of a building and is 50 m taller. Find the height of the tower.

Problem 4609

A basketball team sold tickets for \$10, \$20, and \$30, totaling 3157 tickets and \$59,930. How many \$10 tickets were sold?

Problem 4610

Evaluate f(x)=12xf(x)=\frac{1}{2} xf(x)=21​x for f(0)f(0)f(0), f(10)f(10)f(10), and f(−10)f(-10)f(−10). What are the results?

Problem 4611

A basketball team sold tickets for \$10, \$20, and \$30. They sold 3157 tickets total, with 166 more \$20 than \$10. Total sales: \$59,930. Find the number of each ticket type sold. How many \$10 tickets were sold? 1104. How many \$20 tickets were sold?

Problem 4612

A business club invested \$72,000 in three parts at different rates. Total interest was \$5640. Find the amounts of each part.

Problem 4613

Next week, you charged \$9 per guest with 39 guests on average. Find:(a) The linear demand equation q(p)=q(p)=q(p)= (b) The revenue function R(p)=R(p)=R(p)= (c) The cost function C(p)=−25.5p+488C(p)=-25.5p+488C(p)=−25.5p+488

Problem 4614

Invest \$9,000 in bonds rated AAA (4%), A (5%), and B (8%) for \$470 return. Invest twice as much in AAA as B.

Problem 4615

Problem 4616

A basketball team sold tickets for \$10, \$20, and \$30, totaling 3123 tickets and \$58,810 in sales. Find the number of each ticket type sold.

Problem 4617

Find the first full year when the percent change in beer shipments reaches −34%-34\%−34% using y=−4.1x+28.7y=-4.1x+28.7y=−4.1x+28.7. What does −34%-34\%−34% mean?

Problem 4618

Predict diamond production using f(x)=−3.09x+148.37f(x)=-3.09 x+148.37f(x)=−3.09x+148.37 for 2026, where xxx is years after 2017. Result: \$ \square billion.

Problem 4619

A basketball team sold 3123 tickets for \$10, \$20, and \$30. There are 266 more \$20 tickets than \$10. Total sales are \$58,810. Find the number of each ticket sold.

Problem 4620

A \$37,000 investment was split into three parts with interest rates of 8\%, 6\%, and 9\%. Total interest is \$3030. The first part's interest is 6 times the second's. Find the amounts of each part.

Problem 4621

A hockey team played 12 games: won 2 more than lost, lost 1 more than tied. Find wins, losses, and ties.

Problem 4622

Write a conditional from 7x−7=427 x-7=427x−7=42 implies 7x=497 x=497x=49. Choose the correct option: A, B, C, or D.

Problem 4623

Find the inverse function f−1(x)f^{-1}(x)f−1(x) for f(x)=2x+16f(x) = 2x + 16f(x)=2x+16. What is f−1(x)f^{-1}(x)f−1(x)?

Problem 4624

Find the cost to manufacture each additional Kinect using C(x)=150x+30C(x)=150x+30C(x)=150x+30. Estimate the cost for 37 Kinects.

Problem 4625

Find the inverse function f−1(x)f^{-1}(x)f−1(x) if f(x)=x4−5f(x) = \frac{x}{4} - 5f(x)=4x​−5. What is f−1(x)=[?]x+[]f^{-1}(x) = [?] x + []f−1(x)=[?]x+[]?

Problem 4626

RideEm Bicycles can make 170 bikes for \$10,300 and 190 bikes for \$10,900. (a) Find the cost function C(x)=C(x)=C(x)=. (b) What are the fixed costs in dollars? (c) What are the variable costs in dollars?

Problem 4627

Problem 4628

Charge \9perguest,average39guests.Finddemand9 per guest, average 39 guests. Find demand 9perguest,average39guests.Finddemandq(p),revenue, revenue ,revenueR(p),profit, profit ,profitP(p)$, and break-even fees.

Problem 4629

Problem 4630

Find the inverse of the function f(x)=3x+9f(x)=3x+9f(x)=3x+9. What is f−1(x)=x[?]+f^{-1}(x)=\frac{x}{[?]}+f−1(x)=[?]x​+?

Problem 4631

Find the inverse function f−1(x)f^{-1}(x)f−1(x) for f(x)=x9+1f(x) = \frac{x}{9} + 1f(x)=9x​+1. What is f−1(x)=[?]x+[]f^{-1}(x) = [?] x + []f−1(x)=[?]x+[]?

Problem 4632

Problem 4633

Given cell phone sales and prices for Q1 2009 and 2010, find the demand function q(p)q(p)q(p). Predict sales at \$156. Also, determine the sales decrease per \$1 price increase.

Problem 4634

Problem 4635

Solve the equation 7+3(x−2)=2x+107+3(x-2)=2x+107+3(x−2)=2x+10 by applying the distributive property. What is the first step?

Problem 4636

List the four steps to solve a linear equation from these options: isolate variable, check solution, collect terms, simplify.

Problem 4637

Next week, you charge \$9 per guest with 39 guests on average. (a) Find the demand equation q(p)=q(p)=q(p)=. (b) Find revenue R(p)=R(p)=R(p)=. (c) Costs C(p)=−25.5p+488C(p)=-25.5p+488C(p)=−25.5p+488, find profit P(p)=P(p)=P(p)=. (d) Determine break-even entrance fees p=p=p=.

Problem 4638

RideEm Bicycles produces 170 bikes for \10,300and190bikesfor$10,900.Findthecostfunction10,300 and 190 bikes for \$10,900. Find the cost function 10,300and190bikesfor$10,900.FindthecostfunctionC(x)$ and fixed/variable costs.

Problem 4639

Mark earns \$1,650/month. New job pays \$9.80/hour + overtime. Find overtime hours to match weekly earnings.

Problem 4640

Solve the equation 2x=22x = 22x=2.

Problem 4641

Tina, Dawn, and Harry have a total of \$ 175. If Tina has 3 times Dawn's amount and Dawn has 2 times Harry's, find their amounts.

Problem 4642

A 10-foot board is cut into 3 pieces. One piece is 1 foot longer than the shortest and 2 feet shorter than the longest. Find the lengths.

Solve the system of equations: $3x + y = 2$ and $2x - y = 4$ .

Find the equation of a line parallel to the one with slope $1/2$ that passes through $(0,-3)$ .

Find a linear equation for the line through $(1,4)$ with slope 6.

Find the linear equation of the line through the points $(1,-6)$ and $(-1,-1)$ . $y(x) =$

Find a linear equation for the line passing through the points $(0.5,-0.75)$ and $(1,-5.75)$ . $y(x)=$

Evaluate $f(x)=\frac{1}{2} x$ for $f(0)$ , $f(10)$ , and $f(-10)$ . What are the results?

Next week, you charged \$9 per guest with 39 guests on average. Find:
(a) The linear demand equation $q(p)=$ (b) The revenue function $R(p)=$ (c) The cost function $C(p)=-25.5p+488$

Find the first full year when the percent change in beer shipments reaches $-34\%$ using $y=-4.1x+28.7$ . What does $-34\%$ mean?

Predict diamond production using $f(x)=-3.09 x+148.37$ for 2026, where $x$ is years after 2017. Result: \$ \square billion.

Write a conditional from $7 x-7=42$ implies $7 x=49$ . Choose the correct option: A, B, C, or D.

Find the inverse function $f^{-1}(x)$ for $f(x) = 2x + 16$ . What is $f^{-1}(x)$ ?

Find the cost to manufacture each additional Kinect using $C(x)=150x+30$ . Estimate the cost for 37 Kinects.

Find the inverse function $f^{-1}(x)$ if $f(x) = \frac{x}{4} - 5$ . What is $f^{-1}(x) = [?] x + []$ ?

RideEm Bicycles can make 170 bikes for \$10,300 and 190 bikes for \$10,900.
(a) Find the cost function $C(x)=$ . (b) What are the fixed costs in dollars? (c) What are the variable costs in dollars?

Charge \ $9 per guest, average 39 guests. Find demand$ q(p) $, revenue$ R(p) $, profit$ P(p)$, and break-even fees.

Find the inverse of the function $f(x)=3x+9$ . What is $f^{-1}(x)=\frac{x}{[?]}+$ ?

Find the inverse function $f^{-1}(x)$ for $f(x) = \frac{x}{9} + 1$ . What is $f^{-1}(x) = [?] x + []$ ?

Given cell phone sales and prices for Q1 2009 and 2010, find the demand function $q(p)$ . Predict sales at \$156. Also, determine the sales decrease per \$1 price increase.

Solve the equation $7+3(x-2)=2x+10$ by applying the distributive property. What is the first step?

Next week, you charge \$9 per guest with 39 guests on average.
(a) Find the demand equation $q(p)=$ . (b) Find revenue $R(p)=$ . (c) Costs $C(p)=-25.5p+488$ , find profit $P(p)=$ . (d) Determine break-even entrance fees $p=$ .

RideEm Bicycles produces 170 bikes for \ $10,300 and 190 bikes for \$10,900. Find the cost function$ C(x)$ and fixed/variable costs.

Solve the equation $2x = 2$ .

Terri has $\frac{1}{4}$ of her father's and $\frac{1}{7}$ of her grandfather's Canadian stamps. Together they have 120 stamps. How many does each have?

Solve for the number in the equation: 9 - $\frac{x}{7} = -5$ .

Find $a$ , $b$ , $c$ , and $d$ in a 3x3 magic square where each row, column, and diagonal sums to 45.

Graph the equation $y-32=-3(x-5)$ to find how long it takes to empty the pool.

Find the total distance driven after 3.5 more hours if $y=65x+80$ and $x$ is the driving time in hours.

Find the percent change in beer shipments from 2007 to 2010 using $y=-3.9 x+27.3$ . What is $x$ for 2010? $x=$

Find the percent change in beer shipments since 2007 by 2010 using $y=-3.9x+27.3$ . What is $y$ for $x=10$ ?

Find the first year when percent change in beer shipments reaches $-34\%$ using $y=-4.1x+28.7$ . What does $-34\%$ represent? A. Slope B. $x$ C. $y$ D. $y$ -intercept.

Find the first year when beer shipment change is $-34\%$ using $y=-3.7x+25.9$ . What does $-34\%$ represent? A. y B. slope C. y-intercept D. x

Identify the graph and describe the solution set for the inequalities: $y < -3x - 2$ and $y > -3x + 8$ .

Is the Celsius temperature proportional to Fahrenheit? Use the formula $F = \frac{9}{5}C + 32$ for conversion.

Solve the inequality $-3(x-3) \leq 5(1-x)$ . What is the solution for $x$ ?

A clown weighs $60 \mathrm{lb}$ more than a trapeze artist, who is two-thirds the clown's weight. Find their weights. Choices: $110, 120, 125$ .

Solve the equation: $3.92y - 7.72y - 5.67 = 3.03$ . Provide your answer as an integer, fraction, or rounded decimal.

This table contains a pattern. A two row table is shown. \begin{tabular}{|l|l|l|l|l|l|} \hline Bicycles & 1 & 2 & 3 & 4 & 5 \\ \hline Wheels & 2 & 4 & 6 & & \\ \hline \end{tabular}
What 2 numbers will correctly extend the pattern?

Write an equation in slope-intercept form for the line with slope $\frac{1}{4}$ and $y$ -intercept 3 .

ixl.com
Graph this line using the slope and $y$ -intercept: $y=-\frac{1}{3} x-8$
Click to select points on the graph. Submit Work it out

Dom dic 1 ixl.com
Graph this line using the slope and $y$ -intercept: $y=-\frac{3}{4} x-2$
Click to select points on the graph. Submit Work it out

8:21 p.m. Dom dic 1 ixl.com
Graph this line using the slope and $y$ -intercept: $y=\frac{8}{3} x-1$
Click to select points on the graph. Submit Work it out

Graph this line using the slope and $y$ -intercept: $y=\frac{2}{3} x-10$
Click to select points on the graph. Submit

Short Answer
6. a) Determine the slope of the line that passes through the point: $(-2,-3)$ and $(5,4)$ .

Graph this line: $y-6=\frac{2}{5}(x+3)$
Click to select points on the graph. Practice in the app

8. [-/1.61 Points]
DETAILS MY NOTES OSCOLALG1 2.2.904.XP. Solve for the variable. $8(5+1)-23 b=b$ $b=$