Linearity

Problem 2401

Which situation shows a constant rate of change? A. Child's teeth vs. age B. Juice bottles vs. day C. People in arena vs. time D. Run distance vs. laps.

See Solution

Problem 2402

Ein Rennauto fährt $210 \mathrm{~km}$ in 70 Minuten. Wie weit fährt es in 90 Minuten?

See Solution

Problem 2403

Find the inverse of $f(x)=\frac{3 x}{5}+3$ . Which option is correct? A. $f^{-1}(x)=\frac{3(x+3)}{5}$ B. $f^{-1}(x)=\frac{5(x-3)}{3}$ C. $f^{-1}(x)=\frac{5(x-3)}{3}$ D. $f^{-1}(x)=\frac{3(x-3)}{5}$

See Solution

Problem 2404

Calculate the expression: $10 + 2 \times 4 - 1 = ?$

See Solution

Problem 2405

Wie lange dauert die Fahrt von Zürich nach Rom bei $75 \mathrm{~km}$ pro h, wenn 15 Stunden bei $60 \mathrm{~km}$ pro h benötigt werden?

See Solution

Problem 2406

Solve for $x$ in the equation $x + 23 = 40$ .

See Solution

Problem 2407

Solve the equation: $3(2 x-5)-4 x+8=-1$ .

See Solution

Problem 2408

LaTanya buys 5 yards of blue and 8 yards of green fabric for \$62. Blue costs \$2 more per yard. Find the combined cost of 1 yard of each.

See Solution

Problem 2409

Find the number of solutions for the equation: $5x + 2 - 2(x - 1) = 3x + 4$ .

See Solution

Problem 2410

Find three consecutive even integers that add up to 72.

See Solution

Problem 2411

What inequality represents a graph with a dashed line, negative slope, y-intercept -3, and shaded region above the line?

See Solution

Problem 2412

A car stops from $32 \mathrm{~m/s}$ with an acceleration of $-5 \mathrm{~m/s}^{2}$ . How far did it travel before stopping?

See Solution

Problem 2413

A $6 \mathrm{~m}$ beam pivots at the center. A $5 \mathrm{~N}$ weight is $2 \mathrm{~m}$ from the pivot. What weight balances it?

See Solution

Problem 2414

Mariko and her friend spent \$24.50 on lunch with a \$4 coupon. Find the cost of each lunch.

See Solution

Problem 2415

Mariko and her friend spent \$24.50 on lunch with a \$4 coupon. Find the cost of each lunch.

See Solution

Problem 2416

Mariko and her friend spent \$24.50 on lunch with a \$4 coupon. Find the cost of each lunch.

See Solution

Problem 2417

Solve $\angle 0.65 x + 4.9 a = 6.94$ for $x$ .

See Solution

Problem 2418

A backpack costs \$40, which is 4 times the cost of a lunchbox. What is the price of the lunchbox?

See Solution

Problem 2419

Solve the equation $48 - 1.5t = 36$ for $t$ .

See Solution

Problem 2420

Find the equation of a line with slope $1/3$ that passes through the point $(-4, 8)$ in point-slope form.

See Solution

Problem 2421

Determine the number of solutions (0, 1, or infinite) for the system: $y=\frac{3}{2} x-7$ and $y=\frac{3}{2} x+2$ .

See Solution

Problem 2422

Solve for $y$ in the equation $3x - 4y = \pm20$ .

See Solution

Problem 2423

Solve for $y$ : $3x - 4y = \pm 20$ .

See Solution

Problem 2424

Create a system of equations with infinite solutions by graphing a line parallel to $y=-3x-4$ and provide its equation.

See Solution

Problem 2425

Create a linear equation that, with $y=\frac{5}{4} x-7$ , forms a system with no solutions.

See Solution

Problem 2426

Solve the system: $3y=12$ and $2x+3y=22$ . Also, describe the graph of the system.

See Solution

Problem 2427

Find the value of $w$ for which the system has infinitely many solutions: $x - 4y = 5$ and $4x - 16y = w$ .

See Solution

Problem 2428

Jaxon and Cherise solve the system: $y=\frac{1}{4} x-\frac{1}{2}$ and $2 x-8 y=4$ . Who is right about the solutions?

See Solution

Problem 2429

Solve for $(x, y)$ in the system: $5x - 3y = 14$ and $y = x + 8$ .

See Solution

Problem 2430

Raya bought 6 eggs and 1 lettuce for \$4.50; Ivy bought 12 eggs and 2 lettuces for \$10.50. Same unit price? Explain.

See Solution

Problem 2431

Raya buys 12 eggs and 2 lettuces for \$10.50; Ivy buys 6 eggs and 1 lettuce for \$4.50. Compare their unit prices.

See Solution

Problem 2432

Determine if the system has 0, 1, or infinite solutions: $6x - 18y = 24 \\ x - 3y = 4$

See Solution

Problem 2433

Camden's starting salary is \ $43000, increasing \$2000 each year. What will his salary be after 7 years and after$ t$ years?

See Solution

Problem 2434

Solve the equation: $24 - 11x - 0.5x + 32 = x - 31 + 0.75$ .

See Solution

Problem 2435

Намери стойността на $\frac{2 a+b+c}{a-2 b+2 c}$ , ако $a: b=5: 3$ и $b+c=a$ .

See Solution

Problem 2436

Rewrite the equation in slopeintercept form. Then find the slope and $y$ -intercept.
5. $-\frac{2}{5} x-y=4$
Equation: $\qquad$ $\mathrm{m}=$ $\qquad$ $b=$ $\qquad$

See Solution

Problem 2437

Rewrite the equation in slopeintercept form. Then find the slope and $y$ -intercept.
6. $3 x-5 y=-20$
Equation: $\qquad$ $\mathrm{m}=$ $\qquad$ $b=$ $\qquad$

See Solution

Problem 2438

Which of the contexts below could not be modeled by a linear function?
Answer
A town's population grows at a An elevator descends at a rate rate of $4.5 \%$ every year. of 24 feet per second.
Latanya puts \ $75 a month into A smartphone data plan a savings account. charges a \$40/month and$ \ $1.81 / \mathrm{GB}$ of data used.

See Solution

Problem 2439

[3x] What kind of transformation converts the graph of $f(x)=7 x-3$ into the graph of $g(x)=-7 x-3 ?$ (x) reflection across the $x$ -axis horizontal shrink horizontal stretch reflection across the $y$ -axis Submit Work it out

See Solution

Problem 2440

12. $6 x-2(x+4)-3$

See Solution

Problem 2441

Simplify the expression: $3(d-4) + 2 - 2d + 1 - d$

See Solution

Problem 2442

14. $5-9 k+1+k-2(7-k)$

See Solution

Problem 2443

Solve for $x$ in terms of $b$ and $c: 2 x-b=c$

See Solution

Problem 2444

Challenge In a company, $75 \%$ of the workers are women. If 525 people work for the company who aren't women, how many workers are there in all? Use pencil and paper. Show two different ways that you can solve this problem.
There are $\square$ workers in all. (Type a whole number.)

See Solution

Problem 2445

‘齑 How many solutions does the system of equations below have? $\begin{array}{l} 6 x-10 y=-1 \\ -6 x-9 y=4 \end{array}$
㸚， no solution one solution infinitely many solutions

See Solution

Problem 2446

1. Friday night, a pizza parlor sold 5 large pizzas and some medium pizzas. The pizza parlor made a total of \$291. How many medium pizzas were sold?

See Solution

Problem 2447

12. Which point satisfies the equation $2 x+3 y=8$ ? B. $(2,2)$ C. $(-1,3)$ D. $(-2,4)$

See Solution

Problem 2448

the number of solutions to a system of equations UYM [x. How many solutions does the system of equations below have? $\begin{array}{l} 6 x+y=3 \\ 12 x+2 y=6 \end{array}$ (xA) no solution one solution infinitely many solutions

See Solution

Problem 2449

竣 Is $(3,9)$ a solution to this system of equations? $\begin{array}{l} y=5 x+9 \\ y=x+6 \end{array}$ yes no

See Solution

Problem 2450

$\begin{array}{l}\frac{f}{5}-2.2=-2.5\end{array}$

See Solution

Problem 2451

效, Is $(5,7)$ a solution to this system of equations? $\begin{array}{l} y=3 x-8 \\ y=2 x-3 \end{array}$ yes no
Sinbmit

See Solution

Problem 2452

Write the slope-intercept form of the equation of each line. 5) $x+3 y=-6$ 6) $x-7 y=-14$

See Solution

Problem 2453

这.， Is $(6,8)$ a solution to this system of equations? $\begin{array}{l} x=6 \\ y=-x-4 \end{array}$ yes no

See Solution

Problem 2454

㸚. Is $(3,-4)$ a solution to this system of equations? $\begin{array}{l} y=-4 x-8 \\ y=-4 \end{array}$ yes no

See Solution

Problem 2455

$\begin{array}{l} y=-4 x+2 \\ y=-6 x-2 \end{array}$ yes no

See Solution

Problem 2456

$4 \mid$ Your dad uses 5 cups of apples for every 2 cups of sugar to make apple pie. If he wanted to make more pies using 8 cups of apples, how many cups of sugar would he need?

See Solution

Problem 2457

Solve the system by substitution. $\begin{aligned} -2 x & =8 y+18 \\ -21 & =5 y-2 x \end{aligned}$

See Solution

Problem 2458

$4 \mid$ Your dad uses 5 cups of apples for every 2 cups of sugar to make apple pie. If he wanted to make more pies using 8 cups of apples, how many cups of sugar would he need?

See Solution

Problem 2459

Hence, solve the system of equations: $\begin{array}{l} -2 x-y+7 z=5 \\ x-y-z=7 \\ x+y-4 z=4 \end{array}$

See Solution

Problem 2460

Solve the inequality and graph the solution. $1-a \leq-1$
To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it.

See Solution

Problem 2461

1) $3 x=2 x+50$ 2) $6 x=2 x+44$ 3) $8 x=2 x+36$ 4) $4 x=x+18$ $\begin{array}{l} 3 x=2 x+50 \\ 3 x \neq 2 x+50 \end{array}$

See Solution

Problem 2462

Solve of the variable: $x=$ $\square$ $3(2 x-5)-4 x=33$

See Solution

Problem 2463

Graph the system below and write its solution. $\begin{array}{l} 2 x+y=-4 \\ y=-\frac{1}{2} x-1 \end{array}$

See Solution

Problem 2464

$8+24=32 \quad 32-2 \mu=8$
CHALLENGE Why does the same number work in both of the equations abc

See Solution

Problem 2465

71.20
Robert spends 8 hours making 5 pies. How long will it take him to make 15 pies? bottom

See Solution

Problem 2466

Graphs, Functions, and Sequences Graphically solving a system of linear equations Bristin
Graph the system below and write its solution. $\left\{\begin{array}{c} y=-\frac{1}{2} x-1 \\ 2 x+y=5 \end{array}\right.$ Español
Note that you can also answer "No solution" or "Infinitely many" solutions. Explanation Check

See Solution

Problem 2467

6 A science museum has a scale model of a ladybug. In the model, 50 centimeters represents 9 millimeters. The length of the model is 1 meter. How long is the actual ladybug?

See Solution

Problem 2468

Question 10 (3 points)
4. A coffee shop sells pastries for $\$ 3$ each. The following aquation modelas the total revenue for the day $f(x)$ (if dollary) from solling $x$ pastries. Round all answers to the nearest hundredth, if necessary. $1(x)=3 x-20$ b. How many pastries would need to be sold to make $\$ 436$ revenue? (3 points) $\square$ $\square$

See Solution

Problem 2469

Question Watch Video Show Exan
Solve for $x$ : $-0.3=-3(-4 x+5.2)-2 x$ Answer Attempt 4 out of 4

See Solution

Problem 2470

Rosie is making candy bags to give to her friends. The number of lollipops she's including in each bag varies directly with the number of chocolates.
She plans to include 3 lollipops for every 5 chocolates. How many lollipops will she need to buy if she has 75 chocolates? \begin{tabular}{|l|l|} \hline A. 45 & Go to Question \# 6 \\ \hline B. 225 & Go to Question \#8 \\ \hline C. 125 & Go to Question \#1 \\ \hline D. 15 & Go to Question \# 15 \\ \hline \end{tabular}

See Solution

Problem 2471

Rosie is making candy bags to give to her friends. The number of lollipops she's including in each bag varies directly with the number of chocolates.
She plans to include 3 lollipops for every 5 chocolates. How many lollipops will she need to buy if she has 75 chocolates? \begin{tabular}{|l|l|} \hline A. 45 & Go to Question \# 6 \\ \hline B. 225 & Go to Question \#8 \\ \hline C. 125 & Go to Question \#1 \\ \hline D. 15 & Go to Question \# 15 \\ \hline \end{tabular}

See Solution

Problem 2472

1) $r+5+8 r \leq 23$ A) $r \geq-30$ : B) $r \geq 2$ : C) $r \leq 2$ : D) $r \geq-17$ :

See Solution

Problem 2473

The price $p$ (in dollars) and the quantity $x$ sold of a certain product satisfy the demand equation $x=-7 p+700$ . Answer parts (a) through (g). (い) villat pile $\mu$ maximizes ieverlue? $p=\$ 50$ (Simplify your answer. Type an integer or a decimal.) (d) What is the maximum revenue? $R=\$ 17500$ (Simplify your answer. Type an integer or a decimal.) (e) How many units are sold at this price? $x=350$ (Simplify your answer. Type an integer or a decimal.) (f) Graph R. Choose the correct graph below. A. B. C. D.

See Solution

Problem 2474

4) $6 p-1-p<-11$ A) $p<-2$ : B) $p>-2$ : C) $p<-22$ : D) $p<-38$ :

See Solution

Problem 2475

Line $j$ has an equation of $y+6=6(x-1)$ . Line $k$ is perpendicular to line $j$ and passes through $(8,-4)$ . What is the equation of line $k$ ?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified proper fractions, improper fractions, or integers. $\square$

See Solution

Problem 2476

22. Michelle Is making goodie bags for Christmas filled with chocolates and hard candies. Chocolates cost How per lb , and hard candies cost $\$ 3.00$ per 1 lb . Michelle bought a total of 15 lbs . and spent a total of $\$ 40$ . How many lbs, of each type did Michelle purchase? b) Define your variables. b) Write an equation showing that Michelle spent a total of $\$ 40$ on chocolates and hard candies. c) Write an equation showing that Michelle bought a total of 15 lbs . of chocolates and hard candy. d) Solve the system of equations to find out how many lbs. of chocolates and how many lbs. of hard candies Michelle bought. $\begin{aligned} c & =2.50 \quad 151 b s \\ h= & 3.00 \\ & =40^{\$} \end{aligned}$
Chocolates $=$ $\qquad$ Hard Candies = $\qquad$
23. Your teacher is giving a test worth 100 points. The test contains a total of 40 questions. Some questions are worth 2 points and some questions are worth 4 points on the test. How many of each type of question are on the est?
100 409 2 point problems $=$ $\qquad$ 4 point problems = $\qquad$

See Solution

Problem 2477

Find the slope and the $y$ -intercept of the graph of the linear equation.
1. $y=3 x+4$
2. $y=-5 x-1$
3. $y=\frac{2}{3} x-2$
4. $y+7=4 x$
5. $y-3=-6 x$
6. $y+9=\frac{3}{4} x$

See Solution

Problem 2478

1. $y=x+7$ \begin{tabular}{|c|l|c|c|} \hline $x$ & & $y$ & $(x, y)$ \\ \hline-1 & & & \\ \hline 0 & & & \\ \hline 2 & & & \\ \hline 4 & & & \\ \hline \end{tabular}

See Solution

Problem 2479

2. $y=x-13$ \begin{tabular}{|c|l|c|c|} \hline $x$ & & $y$ & $(x, y)$ \\ \hline 3 & & & \\ \hline 6 & & & \\ \hline 9 & & & \\ \hline 12 & & & \\ \hline \end{tabular}

See Solution

Problem 2480

\text{How far could you drive without exceeding a monthly cost of \$600?} \\
\text{Given:} \\ \text{Cost per mile = \$0.12} \\
\text{Calculate:} \\ \text{Maximum distance you can drive without exceeding \$600.} \\
\text{Example calculations:} \\ 1000 \text{ km} \times 0.12 = \$120 \\ 2000 \text{ km} \times 0.12 = \$240 \\

See Solution

Problem 2481

6. $y=-\frac{4}{3} x+11$ \begin{tabular}{|c|l|c|c|} \hline $\boldsymbol{x}$ & & $\boldsymbol{y}$ & $(x, y)$ \\ \hline-9 & & & \\ \hline-3 & & & \\ \hline 3 & & & \\ \hline 6 & & & \\ \hline \end{tabular}

See Solution

Problem 2482

Directions: Given each function and
7. $y=x-5 ;$ domain $=\{4,6,8\}$

See Solution

Problem 2483

$y=3 x+1 ;$ domain $=\{-1,0,1\}$

See Solution

Problem 2484

3. Use CRT to solve the following system of linear congruences: $\begin{aligned} 2 x & =5(\bmod 7) \\ 4 x & =2(\bmod 6) \\ x & =3(\bmod 5) \end{aligned}$ (Hint: First determine how many unique solutions modulo 210 exist. Why?)

See Solution

Problem 2485

Solve for $a$ . $3.99 a \leq-7.98$

See Solution

Problem 2486

$-9 x+1>-4 x-9$

See Solution

Problem 2487

Video
Solve the inequality and graph the solution. $n+68>65$
To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it. Submit

See Solution

Problem 2488

8.) Solve the syetems $\begin{array}{c} x+3 y=2 \\ 2 x-4 y=-16 \end{array}$

See Solution

Problem 2489

Solve the inequality and graph the solution. $g+83 \geq 86$
To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it. Submit

See Solution

Problem 2490

9. $\left\{\begin{array}{l}3 x-4 y=-14 \\ 3 x+2 y=-2\end{array}\right.$

See Solution

Problem 2491

37 is $50 \%$ of what number?

See Solution

Problem 2492

Suppose that a company has just purchased a new computer for $\$ 2500$ . The company chooses to depreciate using the straight-line method for 5 years. (a) Write a linear function that expresses the book value V of the computer as a function of its age x . (b) What is the domain of the function found in part (a)? (c) Graph the linear function. (d) What is the book value of the computer after 2 years? (e) When will the computer have a book value of $\$ 500$ ? (a) The linear function is $V(x)=$ $\square$ (Simplify your answer.)

See Solution

Problem 2493

Suppose that a company has just purchased a new computer for $\$ 2500$ . The company chooses to depreciate using the straight-line method for 5 years. (a) Write a linear function that expresses the book value V of the computer as a function of its age x . (b) What is the domain of the function found in part (a)? (c) Graph the linear function. (d) What is the book value of the computer after 2 years? (e) When will the computer have a book value of $\$ 500$ ? (b) Choose the correct answer below. A. $[0,2500]$ B. $[0,5]$ C. $(0,5)$ D. $(-\infty, \infty)$ (c) Choose the correct graph below. A. B. C. D.

See Solution

Problem 2494

7. $2 z-9<3 z+9$

See Solution

Problem 2495

Solve the inequality $-4 x-9<7$ .
Select the correct choice below and, if necessary, fill in the answer box to complete your choice A. The solution set is $\square$ $\square$ . (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.) B. The solution is the empty set.

See Solution

Problem 2496

A line has a slope of 6 and passes through the point $(-4,-20)$ . Write its equation in slopeintercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form. $\square$

See Solution

Problem 2497

A line passes through the points $(-1,2)$ and $(3,18)$ . Write its equation in slope-intercept form.
Write your answer using integers, proper fractions, and improper fractions in simplest form. $\square$ 믐

See Solution

Problem 2498

For her grandfather's birthday, Valeria is baking cupcakes. With every egg she can find, she can bake 6 cupcakes.
Write an equation that shows how the total number of cupcakes Valeria can bake, $y$ , depends on the number of eggs she can find, $x$ . $y=$ $\square$ thSubmit

See Solution

Problem 2499

1. A boy is 10 years older than his brother. In 4 years he will be twice as old as his brother. Find the present age of each.

See Solution

Problem 2500

Warren just found his old journal in a drawer and has decided to start making 1 journal entry every day. There were already 8 entries in his journal.
Write an equation that shows how the total number of journal entries, $y$ , depends on the number of elapsed days, $x$ . $y=$ $\square$ Submition

See Solution

1 ...22 23 24 25 26 27 28 ...77

Linearity

Problem 2401

Which situation shows a constant rate of change? A. Child's teeth vs. age B. Juice bottles vs. day C. People in arena vs. time D. Run distance vs. laps.

Problem 2402

Ein Rennauto fährt 210 km210 \mathrm{~km}210 km in 70 Minuten. Wie weit fährt es in 90 Minuten?

Problem 2403

Problem 2404

Calculate the expression: 10+2×4−1=?10 + 2 \times 4 - 1 = ?10+2×4−1=?

Problem 2405

Wie lange dauert die Fahrt von Zürich nach Rom bei 75 km75 \mathrm{~km}75 km pro h, wenn 15 Stunden bei 60 km60 \mathrm{~km}60 km pro h benötigt werden?

Problem 2406

Solve for xxx in the equation x+23=40x + 23 = 40x+23=40.

Problem 2407

Solve the equation: 3(2x−5)−4x+8=−13(2 x-5)-4 x+8=-13(2x−5)−4x+8=−1.

Problem 2408

LaTanya buys 5 yards of blue and 8 yards of green fabric for \$62. Blue costs \$2 more per yard. Find the combined cost of 1 yard of each.

Problem 2409

Find the number of solutions for the equation: 5x+2−2(x−1)=3x+45x + 2 - 2(x - 1) = 3x + 45x+2−2(x−1)=3x+4.

Problem 2410

Find three consecutive even integers that add up to 72.

Problem 2411

What inequality represents a graph with a dashed line, negative slope, y-intercept -3, and shaded region above the line?

Problem 2412

A car stops from 32 m/s32 \mathrm{~m/s}32 m/s with an acceleration of −5 m/s2-5 \mathrm{~m/s}^{2}−5 m/s2. How far did it travel before stopping?

Problem 2413

A 6 m6 \mathrm{~m}6 m beam pivots at the center. A 5 N5 \mathrm{~N}5 N weight is 2 m2 \mathrm{~m}2 m from the pivot. What weight balances it?

Problem 2414

Mariko and her friend spent \$24.50 on lunch with a \$4 coupon. Find the cost of each lunch.

Problem 2415

Mariko and her friend spent \$24.50 on lunch with a \$4 coupon. Find the cost of each lunch.

Problem 2416

Mariko and her friend spent \$24.50 on lunch with a \$4 coupon. Find the cost of each lunch.

Problem 2417

Solve ∠0.65x+4.9a=6.94\angle 0.65 x + 4.9 a = 6.94∠0.65x+4.9a=6.94 for xxx.

Problem 2418

A backpack costs \$40, which is 4 times the cost of a lunchbox. What is the price of the lunchbox?

Problem 2419

Solve the equation 48−1.5t=3648 - 1.5t = 3648−1.5t=36 for ttt.

Problem 2420

Find the equation of a line with slope 1/31/31/3 that passes through the point (−4,8)(-4, 8)(−4,8) in point-slope form.

Problem 2421

Determine the number of solutions (0, 1, or infinite) for the system: y=32x−7y=\frac{3}{2} x-7y=23​x−7 and y=32x+2y=\frac{3}{2} x+2y=23​x+2.

Problem 2422

Solve for yyy in the equation 3x−4y=±203x - 4y = \pm203x−4y=±20.

Problem 2423

Solve for yyy: 3x−4y=±203x - 4y = \pm 203x−4y=±20.

Problem 2424

Create a system of equations with infinite solutions by graphing a line parallel to y=−3x−4y=-3x-4y=−3x−4 and provide its equation.

Problem 2425

Create a linear equation that, with y=54x−7y=\frac{5}{4} x-7y=45​x−7, forms a system with no solutions.

Problem 2426

Solve the system: 3y=123y=123y=12 and 2x+3y=222x+3y=222x+3y=22. Also, describe the graph of the system.

Problem 2427

Find the value of www for which the system has infinitely many solutions: x−4y=5x - 4y = 5x−4y=5 and 4x−16y=w4x - 16y = w4x−16y=w.

Problem 2428

Jaxon and Cherise solve the system: y=14x−12y=\frac{1}{4} x-\frac{1}{2}y=41​x−21​ and 2x−8y=42 x-8 y=42x−8y=4. Who is right about the solutions?

Problem 2429

Solve for (x,y)(x, y)(x,y) in the system: 5x−3y=145x - 3y = 145x−3y=14 and y=x+8y = x + 8y=x+8.

Problem 2430

Raya bought 6 eggs and 1 lettuce for \$4.50; Ivy bought 12 eggs and 2 lettuces for \$10.50. Same unit price? Explain.

Problem 2431

Raya buys 12 eggs and 2 lettuces for \$10.50; Ivy buys 6 eggs and 1 lettuce for \$4.50. Compare their unit prices.

Problem 2432

Determine if the system has 0, 1, or infinite solutions: 6x−18y=24x−3y=4 6x - 18y = 24 \\ x - 3y = 4 6x−18y=24x−3y=4

Problem 2433

Camden's starting salary is \43000,increasing$2000eachyear.Whatwillhissalarybeafter7yearsandafter43000, increasing \$2000 each year. What will his salary be after 7 years and after 43000,increasing$2000eachyear.Whatwillhissalarybeafter7yearsandaftert$ years?

Problem 2434

Solve the equation: 24−11x−0.5x+32=x−31+0.7524 - 11x - 0.5x + 32 = x - 31 + 0.7524−11x−0.5x+32=x−31+0.75.

Problem 2435

Намери стойността на 2a+b+ca−2b+2c\frac{2 a+b+c}{a-2 b+2 c}a−2b+2c2a+b+c​, ако a:b=5:3a: b=5: 3a:b=5:3 и b+c=ab+c=ab+c=a.

Problem 2436

Rewrite the equation in slopeintercept form. Then find the slope and yyy-intercept.5. −25x−y=4-\frac{2}{5} x-y=4−52​x−y=4Equation: \qquad m=\mathrm{m}=m= \qquad b=b=b= \qquad

Problem 2437

Rewrite the equation in slopeintercept form. Then find the slope and yyy-intercept.6. 3x−5y=−203 x-5 y=-203x−5y=−20Equation: \qquad m=\mathrm{m}=m= \qquad b=b=b= \qquad

Problem 2438

Problem 2439

[3x] What kind of transformation converts the graph of f(x)=7x−3f(x)=7 x-3f(x)=7x−3 into the graph of g(x)=−7x−3?g(x)=-7 x-3 ?g(x)=−7x−3? (x) reflection across the xxx-axis horizontal shrink horizontal stretch reflection across the yyy-axis Submit Work it out

Problem 2440

12. 6x−2(x+4)−36 x-2(x+4)-36x−2(x+4)−3

Problem 2441

Ein Rennauto fährt $210 \mathrm{~km}$ in 70 Minuten. Wie weit fährt es in 90 Minuten?

Calculate the expression: $10 + 2 \times 4 - 1 = ?$

Wie lange dauert die Fahrt von Zürich nach Rom bei $75 \mathrm{~km}$ pro h, wenn 15 Stunden bei $60 \mathrm{~km}$ pro h benötigt werden?

Solve for $x$ in the equation $x + 23 = 40$ .

Solve the equation: $3(2 x-5)-4 x+8=-1$ .

Find the number of solutions for the equation: $5x + 2 - 2(x - 1) = 3x + 4$ .

A car stops from $32 \mathrm{~m/s}$ with an acceleration of $-5 \mathrm{~m/s}^{2}$ . How far did it travel before stopping?

A $6 \mathrm{~m}$ beam pivots at the center. A $5 \mathrm{~N}$ weight is $2 \mathrm{~m}$ from the pivot. What weight balances it?

Solve $\angle 0.65 x + 4.9 a = 6.94$ for $x$ .

Solve the equation $48 - 1.5t = 36$ for $t$ .

Find the equation of a line with slope $1/3$ that passes through the point $(-4, 8)$ in point-slope form.

Determine the number of solutions (0, 1, or infinite) for the system: $y=\frac{3}{2} x-7$ and $y=\frac{3}{2} x+2$ .

Solve for $y$ in the equation $3x - 4y = \pm20$ .

Solve for $y$ : $3x - 4y = \pm 20$ .

Create a system of equations with infinite solutions by graphing a line parallel to $y=-3x-4$ and provide its equation.

Create a linear equation that, with $y=\frac{5}{4} x-7$ , forms a system with no solutions.

Solve the system: $3y=12$ and $2x+3y=22$ . Also, describe the graph of the system.

Find the value of $w$ for which the system has infinitely many solutions: $x - 4y = 5$ and $4x - 16y = w$ .

Jaxon and Cherise solve the system: $y=\frac{1}{4} x-\frac{1}{2}$ and $2 x-8 y=4$ . Who is right about the solutions?

Solve for $(x, y)$ in the system: $5x - 3y = 14$ and $y = x + 8$ .

Determine if the system has 0, 1, or infinite solutions: $6x - 18y = 24 \\ x - 3y = 4$

Camden's starting salary is \ $43000, increasing \$2000 each year. What will his salary be after 7 years and after$ t$ years?

Solve the equation: $24 - 11x - 0.5x + 32 = x - 31 + 0.75$ .

Намери стойността на $\frac{2 a+b+c}{a-2 b+2 c}$ , ако $a: b=5: 3$ и $b+c=a$ .

Rewrite the equation in slopeintercept form. Then find the slope and $y$ -intercept.
5. $-\frac{2}{5} x-y=4$
Equation: $\qquad$ $\mathrm{m}=$ $\qquad$ $b=$ $\qquad$

Rewrite the equation in slopeintercept form. Then find the slope and $y$ -intercept.
6. $3 x-5 y=-20$
Equation: $\qquad$ $\mathrm{m}=$ $\qquad$ $b=$ $\qquad$

[3x] What kind of transformation converts the graph of $f(x)=7 x-3$ into the graph of $g(x)=-7 x-3 ?$ (x) reflection across the $x$ -axis horizontal shrink horizontal stretch reflection across the $y$ -axis Submit Work it out

12. $6 x-2(x+4)-3$

Simplify the expression: $3(d-4) + 2 - 2d + 1 - d$

14. $5-9 k+1+k-2(7-k)$

Solve for $x$ in terms of $b$ and $c: 2 x-b=c$

Challenge In a company, $75 \%$ of the workers are women. If 525 people work for the company who aren't women, how many workers are there in all? Use pencil and paper. Show two different ways that you can solve this problem.
There are $\square$ workers in all. (Type a whole number.)

‘齑 How many solutions does the system of equations below have? $\begin{array}{l} 6 x-10 y=-1 \\ -6 x-9 y=4 \end{array}$
㸚， no solution one solution infinitely many solutions

12. Which point satisfies the equation $2 x+3 y=8$ ? B. $(2,2)$ C. $(-1,3)$ D. $(-2,4)$

the number of solutions to a system of equations UYM [x. How many solutions does the system of equations below have? $\begin{array}{l} 6 x+y=3 \\ 12 x+2 y=6 \end{array}$ (xA) no solution one solution infinitely many solutions

竣 Is $(3,9)$ a solution to this system of equations? $\begin{array}{l} y=5 x+9 \\ y=x+6 \end{array}$ yes no

$\begin{array}{l}\frac{f}{5}-2.2=-2.5\end{array}$

效, Is $(5,7)$ a solution to this system of equations? $\begin{array}{l} y=3 x-8 \\ y=2 x-3 \end{array}$ yes no
Sinbmit

Write the slope-intercept form of the equation of each line. 5) $x+3 y=-6$ 6) $x-7 y=-14$

这.， Is $(6,8)$ a solution to this system of equations? $\begin{array}{l} x=6 \\ y=-x-4 \end{array}$ yes no

㸚. Is $(3,-4)$ a solution to this system of equations? $\begin{array}{l} y=-4 x-8 \\ y=-4 \end{array}$ yes no

$\begin{array}{l} y=-4 x+2 \\ y=-6 x-2 \end{array}$ yes no

$4 \mid$ Your dad uses 5 cups of apples for every 2 cups of sugar to make apple pie. If he wanted to make more pies using 8 cups of apples, how many cups of sugar would he need?

Solve the system by substitution. $\begin{aligned} -2 x & =8 y+18 \\ -21 & =5 y-2 x \end{aligned}$

$4 \mid$ Your dad uses 5 cups of apples for every 2 cups of sugar to make apple pie. If he wanted to make more pies using 8 cups of apples, how many cups of sugar would he need?

Hence, solve the system of equations: $\begin{array}{l} -2 x-y+7 z=5 \\ x-y-z=7 \\ x+y-4 z=4 \end{array}$

Solve the inequality and graph the solution. $1-a \leq-1$
To draw a ray, plot an endpoint and select an arrow. Select an endpoint to change it from closed to open. Select the middle of the ray to delete it.

1) $3 x=2 x+50$ 2) $6 x=2 x+44$ 3) $8 x=2 x+36$ 4) $4 x=x+18$ $\begin{array}{l} 3 x=2 x+50 \\ 3 x \neq 2 x+50 \end{array}$

Solve of the variable: $x=$ $\square$ $3(2 x-5)-4 x=33$

Graph the system below and write its solution. $\begin{array}{l} 2 x+y=-4 \\ y=-\frac{1}{2} x-1 \end{array}$

$8+24=32 \quad 32-2 \mu=8$
CHALLENGE Why does the same number work in both of the equations abc

71.20
Robert spends 8 hours making 5 pies. How long will it take him to make 15 pies? bottom

Question Watch Video Show Exan
Solve for $x$ : $-0.3=-3(-4 x+5.2)-2 x$ Answer Attempt 4 out of 4

1) $r+5+8 r \leq 23$ A) $r \geq-30$ : B) $r \geq 2$ : C) $r \leq 2$ : D) $r \geq-17$ :

4) $6 p-1-p<-11$ A) $p<-2$ : B) $p>-2$ : C) $p<-22$ : D) $p<-38$ :