Browse Linearity problems Studdy Solved!

Problem 1401

$\begin{array}{l}3 x+7 y=-22 \\ 2 x+6 y=12\end{array}$

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Problem 1402

of to relax before it's bedtime a. Write and graph a system of linear inequalities that represents the situation.
Let $x=$ number of hours doing homework Let $y=$ number of hours relaxing $\{$ b. Identify and interpret a solution of the system.

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Problem 1403

SULIT 15
7 (a) Selesaikan persamaan serentak berikut: 3472/2
Solve the following simultaneous equations: $\begin{array}{c} x-2 y-1=0 \\ 2 x^{2}+y^{2}-2 x-3 y=17 \end{array}$
Berikan jawapan anda betul kepada tiga tempat perpuluhan. Give your answers correct to three decimal places. [5 markah] [5 marks] (b) Apakah nilai a yang menjadikan sistem berikut mempunyai penyelesaian tidak terhingga.
What makes the value of a that makes the following system have an infinite solution. $\begin{array}{c} 2 x-\frac{3}{2} y+\frac{5}{2} z=\frac{1}{2} \\ -4 x+3 y+\left(a^{2}-14\right) z=a-4 \end{array}$ [3 markah] Jawapan / Answer: [3 marks]

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Problem 1404

Find the equation of the straight line which has a $y$ -intercept of $(0,5)$ and is perpendicular to a line through $(-2,3)$ and $(3,-3)$ .
Write your answer in the form: $y=m x+b$
Answer as exact, simplified fractions. $\begin{array}{l} m= \\ I \end{array}$ $\mathrm{b}=$
Number

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Problem 1405

Express the line $y=x$ as a polar equation without using trig functions. $\square$ Express any angles in degrees. Round to the nearest degree, and type "degree" for the degree symbol. Remember to use an equals sign. Type theta for $\theta$ .

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Problem 1406

At time $\mathrm{t}=0$ , water begins to drip out of a pipe into an empty bucket. After 24 minutes, there are 6 inches of water in the bucket. Write a linear function rule to model how many inches of water $w$ are in the bucket after any number of minutes $t$ .
The linear function rule is $w=$ $\square$

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Problem 1407

Solve the compound inequality. $2 v-5 \leq 7 \text { or }-3 v<-9$
Graph the solution on the number line. If there is no solution, click on "No solution".

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Problem 1408

Part 1 of 4
The graph shows the relationship between the number of cubic yards of soil ordered and the total cost of the soil delivered. a. What is the constant rate of change? What does it represent? b. What is the initial value? What might that represent? a. What is the constant rate of change?

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Problem 1409

A movie theater has a seating capacity of 299. The theater charges $\$ 5.00$ for children, $\$ 7.00$ for students, and $\$ 12.00$ for adults. There are half as many adults as there are children. If the total ticket sales was $\$ 2168$ , How many children, students, and adults attended? $\square$ children attended. $\square$ students attended. $\square$ adults attended. Question Help: Video Message instructor

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Problem 1410

3. The Renewable Energy Company Case: A company operates two renewable energy plants: one solar plant and one wind plant. The company needs to decide how much energy to produce from each plant to maximize profi while meeting certain constraints.
Details:
1. Solar Plant: - Cost of production: $\$ 50$ per MWh - Maximum production capacity: 600 MWh - Carbon emissions: 0.2 tons per MWh
2. Wind Plant: - Cost of production: $\$ 40$ per MWh - Maximum production capacity: 500 MWh - Carbon emissions: 0.1 tons per MWh
3. Demand Requirements: - The company needs to produce at least 800 MWh of energy to meet market demand. - The company is subject to an environmental regulation that limits total carbon emissions to 150 tons.
4. Profit Margins: - Selling price: $\$ 120$ per MWh for both energy types. - Profit is calculated as selling price minus production cost.
Objective:
Formulate the problem to determine how much energy to produce from each plant to maximize the company's profit while meeting the demand and environmental constraints.

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Problem 1411

39. А хотоос В хот орохоор автобус гарсны дараа 1 цаг болоод хойноос нь машин гарч, автобусы гүйцээд түүнэзс 20 минутын түруүнд В хотод иржээ. Хэрэв хоёр хотын хоорондох зай 280 км бөгөөд машины хурдыг автобусны хурдтай харьцуулахад $3: 2$ бол тус бүрийн хурдыг ол.

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Problem 1412

If OCPS Dashboard IXL: Solving Inequalities (With $x$ IXL - Graph solutions to advan ixl.com/math/algebra-1/graph-solutions-to-advanced-inear-inequalthasimspiathanth OCPS Bell Schedule - Sout... Adobe Acrobat All Bookmarks Siara Algebra $1>$ F. 11 Graph solutions to advanced linear inequalities 5 GC Video Questions answered
Solve the inequality and graph the solution. $-(r+3) \leq 1$
Plot the endpoints. Select an endpoint to change it from closed to open. Select the middle of the segment, ray, or line to delete it. Submit Work it out Not feeling ready yet? These can help: 735 AM 11/19/2024

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Problem 1413

First, complete the story below so that it can be represented by the equation $11 x+10=16 x$ . Then, solve for $x$ . (a) Ann is going to buy $x$ pizzas tonight.
Restaurant A charges \\square $per pizza, and there is a$ \$$ $\square$ (Choose one) $\square$ Restaurant B charges \$ per pizza, with no other charges or discounts. The total cost (with all charges and discounts) is (Choose one) $\square$ (b) For this equation (and story): $x=$ $\square$

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Problem 1414

Match each expression to its equivalent expression. \begin{tabular}{lccc} $\frac{1}{3} x+\frac{1}{4}-\frac{2}{3} x$ & $\bigcirc$ & $\frac{3}{4} x+\frac{1}{3}$ & $-\frac{1}{3} x+\frac{1}{4}$ \\ $\frac{1}{3} x+\frac{1}{4}+\frac{2}{3} x$ & $\bigcirc$ & \\ $\frac{2}{3}+\frac{3}{4} x-\frac{1}{3}$ & $\bigcirc$ & & \end{tabular}

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Problem 1415

Select all the expressions that represent the verbal the difference of 12 and $20 \%$ of a number $x$ $2.4 x$ $-0.2 x+12$ $12-20 x$ $12-0.2 x$ $-20 x+12$

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Problem 1416

Match the following expression with what it would be AFTER you distribute.
$6(x-3)$ $-6(x+3)$ $6(x+3)$ $-6(x-3)$ $6 x-18$ $6 x+18$ $-6 x+18$ $-6 x-18$

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Problem 1417

3 Fill in the Blank 3 points
Alan started with 2 novels in his current book collection. He gets 4 new novels each month. This problem can be modeled using the equation $N(x)=$ $2+4 x$ , where N be the number of novels Alan has and $x$ represents the number of month.
Determine the number of novels Alan has in his collection after 6 months. Use the graph on the answer sheet to assist you in answering this question, if needed. type your answer...

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Problem 1418

Solve the system of equations by the substitution method. $\left\{\begin{array}{c} 15 x+5 y=17 \\ -3 x=y+6 \end{array}\right.$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution is $\square$ . (Type an ordered pair. Simplify your answer.) B. There are infinitely many solutions. C. There is no solution.

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Problem 1419

Solve the system of equations. $\left\{\begin{aligned} x & =3 y+2 \\ 2 x-6 y & =4 \end{aligned}\right.$
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. There is one solution. The solution of the system is $\square$ . (Simplify your answer. Type an ordered pair.) B. The solution set of the system is $\{(x, y) \mid x=3 y+2\}$ . C. The solution set is $\varnothing$ . Help me solve this View an example Get more help -

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Problem 1420

11. $6 x-3=9 y$

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Problem 1421

\begin{tabular}{|c|c|} \hline Sistema A $\begin{array}{r} -x+2 y-8=0 \\ x-2 y=8 \end{array}$ & \begin{tabular}{l} El sistema no tiene solución. El sistema tiene una solución única: $(x, y)=(\square,$ $\square$ El sistema tiene un número infinito de soluciones. \\ Estas deben satisfacer la siguiente ecuación: $y=\square$ \end{tabular} \\ \hline Sistema B $\begin{array}{r} -x-4 y=4 \\ x-4 y=4 \end{array}$ & \begin{tabular}{l} El sistema no tiene solución. El sistema tiene una solución única: $(x, y)=$ $\square$ $\square$ El sistema tiene un número infinito de soluciones. \\ Estas deben satisfacer la siguiente ecuación: \end{tabular} \\ \hline \end{tabular} Explicación Verificar

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Problem 1422

O Funciones y sistemas Resolver un sistema de ecuaciones lineales $2 \times 2$ que es inconsistente o... \begin{tabular}{c} Sistema A \\ $x+5 y=5$ \\ $-x-5 y=-5$ \\ \\ \\ \begin{tabular}{c} Sistema B \\ $-x-4 y=-8$ \\ $x+4 y+8$ \\ -0 \end{tabular} \\ \hline \end{tabular} El sistema no tiene solución. El sistema tiene una solución única: $(x, y)=$ $\square$ $\square$ El sistema tiene un número infinito de soluciones. Estas deben satisfacer la siguiente ecuación: $y=$ $\square$ El sistema no tiene solución. El sistema tiene una solución única: $(x, y)=$ $\square$ , $\square$ D) El sistema tiene un número infinito de soluciones. Estas deben satisfacer la siguiente ecuación: Explicación Verificar

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Problem 1423

$\begin{array}{l}y=5 x-4 \\ y=-6 x+14\end{array}$

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Problem 1424

The table represents a function. \begin{tabular}{|l|l|} \hline $\boldsymbol{x}$ & $\boldsymbol{y}$ \\ \hline-1 & 0 \\ \hline 2 & 3 \\ 3 & 4 \\ 5 & 6 \\ \hline \end{tabular}
Complete the statement by selecting from the drop-down menu. The rate of change in the function $y=2 x+5$ is Choose ... the rate of change of the function represented in the table.

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Problem 1425

What is the slope of a line. a) Paralle (b) perpendecilar to the following? 1) $3 x-4 y=2$ a) $m=$ b) $m=$ 2) $y=7 x-3$ a) $m=$ b) $m=$ 3) What does "I" mean?

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Problem 1426

The sum of 5.75 and half a number is -5 . What is the number? Enter your answer as a decimal in the box. $n=$

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Problem 1427

$-2(x+1)+5 x=3(x+1)-2$ No solution $x=$ $\square$ All real•numbers are solutions $4(y-3)-6 y=-2(y+6)$ No solution $y=$ $\square$ All real numbers are solutions

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Problem 1428

Directions: Solve each system by substitution.
1. $\left\{\begin{array}{ll}y=4 x-1 \\ y=2 x-5 & 4 y-1 \neq 2 x-5\end{array} \quad y=4 x-1\right.$ $\begin{array}{l} =4 c-2-1 \\ =-8-1 \\ =-9 \end{array}$ $2 x+18 x=-20$ $y=6(-1)$ $\frac{20}{20} y=\frac{-26}{26}$ $y=-6$ $-1,-6$
3. $\left\{\begin{array}{l}y=x+9 \\ 3 x+8 y=-5\end{array}\right.$
4. $\left\{\begin{array}{l}x=4 y+7 \\ 2 x-6 y=12\end{array}\right.$

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Problem 1429

What equation(s) have no solutions? Select ALL that apply. $5 x-5=x$ $3(x+4)=3 x+10$ $4 x-12=4(x-3)$ $-2 x+8=2(4-x)$ $x+4=x-1$ $x+2=-3(x+1)$ $2 x+1=2 x+5$ $2(3-x)=2 x-1$

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Problem 1430

of the form $f(x)=a x+b$ : Fractional slope Graph the function $g(x)=-\frac{3}{2} x+3$ .

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Problem 1431

Graph the function $g(x)=\frac{1}{4} x-6$

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Problem 1432

(Adding and Subtracting Linear Expressions MC) Write the following expression using the fewest possible terms. $(-2 x-13)+(19+5 x)$ $3 x+(-6)$ $7 x+(-6)$ $7 x+32$ $3 x+6$

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Problem 1433

System B
Line 1: $y=3 x+3$
Line 2: $y=3 x$
This system of equations is: consistent dependent consistent independent inconsistent
This means the system has: a unique solution Solution: $\square$ $\square$ D) no solution infinitely many solutions

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Problem 1434

Which value of $n$ makes the equation true? $-\frac{1}{2} n=-8$ A. -16 B. -4 C. 4 D. 16

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Problem 1435

The sum of two numbers is $\mathbf{- 1 8}$ . If the first number is 10, which equation represents this situation, and what is the second number? A. The equation that represents this situation is $10-x=-18$ . The second number is 28 . B. The equation that represents this situation is $10+x=-18$ . The second number is -28 . C. The equation that represents this situation is $x-10=-18$ . The second number is -8 . D. The equation that represents this situation is $-10+x=-18$ . The second number is -8 .

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Problem 1436

Select the correct answer from each drop-down menu.
The given equation has been solved in the table. \begin{tabular}{|c|c|} \hline Step & Statement \\ \hline 1 & $3 x-10=-16$ \\ \hline 2 & $3 x-10+10=-16+10$ \\ \hline 3 & $3 x=-6$ \\ \hline 4 & $\frac{3 x}{3}=\frac{-6}{3}$ \\ \hline 5 & $x=-2$ \\ \hline \end{tabular}
Use the table to complete each statement.
In step 2, the $\square$ property of equality was applied. In step 4, the $\square$ property of equality was applied.

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Problem 1437

The graph of a function $f$ is shown below. Find one value of $x$ for which $f(x)=4$ and find $f(0)$ . (a) One value of $x$ for which $f(x)=4$ : 0 (b) $f(0)=$ $\square$

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Problem 1438

Question 7 (1 point) Solve for x $-1 / 3 x=3 / 4$ $1 / 4$ $-21 / 4$ $-1 / 4$ $13 / 4$

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Problem 1439

Question 9 (1 point) The sum of 5.5 and twice a number is -10 What is the number? $n=-2.125$ $n=2.125$ $n=7.75$ $n=-7.75$

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Problem 1440

Subtract $(6.25 x+12)-(4.25 x-7)$ (A) $2 x-5$ (B) $2 x+5$ (C) $2 x-19$ (D) $2 x+19$

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Problem 1441

12. a) $\mathrm{C} / \mathrm{H}$ b) $\mathrm{D} / \mathrm{J}$ c) $A / F$ d) $B / G$

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Problem 1442

7. Subtract $\left(5 x+\frac{1}{3}\right)-\left(3 x-\frac{1}{6}\right)$ .

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Problem 1443

Because of new federal regulations on pollution, a chemical plant introduced a new, more expensive process to supplement or replace an older process used in the production of a particular chemical. The older process emitted 12 grams of sulfur dioxide and 24 grams of particulate matter into the atmosphere for each gallon of chemical produced. The new process emits 2 grams of sulfur dioxide and 12 grams of particulate matter for each gallon produced. The company makes a profit of $80 \notin$ per gallon and $20 \notin$ per gallon on the old and new processes, respectively. Answer parts (A) through (C) below. \begin{tabular}{ccl} Maximize & $P=80 x+20 y$ & Objective function \\ subject to & $12 x+2 y \leq 9,600$ & Sulfur dioxide constraint \\ & $24 x+12 y \leq 18,000$ & Particulate constraint \\ & $x, y \geq 0$ & Nonnegative constraint \end{tabular}
Under the stated government regulations a maximum profit of $\$$ $\square$ is obtained by producing $\square$ $\square$ of product using the old process and $\square$ $\square$ of product using the new process. (Type integers or decimals. Round to two decimal places as needed.)

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Problem 1444

$\begin{array}{l}2 x-y=-2 \\ x=-2\end{array}$

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Problem 1445

A worker applies a force of $360 \mathrm{~N}[E]$ on a trunk of mass 50 kg . Frictionol resistance amounts to 340 N . What is the acceleration of the trunk?

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Problem 1446

It is given that $y$ is directly proportional to $x$ . \begin{tabular}{|c|c|} \hline $\boldsymbol{x}$ & $\boldsymbol{y}$ \\ \hline 1 & -4 \\ \hline 2 & -8 \\ \hline 3 & -12 \\ \hline 4 & -16 \\ \hline 5 & -20 \\ \hline \end{tabular}
What is the constant of variation? $\square$

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Problem 1447

Solve the equation System by elimination $\begin{array}{l} x-y=-3 \\ 4 x+3 y=-5 \end{array}$

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Problem 1448

2.
Logan owns a rucking company. For every truck that goes out, Logan must pay the driver \ $16 per hour of driving and also has an expense of$ \ $1.25$ per mile driven for gas and maintenance. On one particular day, the driver drove an average of 20 miles per hour and Logan's total expenses for the driver, gas and truck maintenance were $\$ 205$ . Write a system of equations that could be used to deerermine the number of hours the driver worked and the number of miles the truck drove. Define the variables that you use to write the system.

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Problem 1449

gebra Essentials ACR-Imag SSOLogout m/player/
Proportional Relationships Quiz Active 1 2 3 4 5 6 7 8 9 10 TIME REMAINING 50:20
Which explains whether or not the graph represents a direct variation? The graph has a constant of variation of 3 , so it represents a direct variation. The graph has a slope of 3 , so it represents a direct variation. The graph has a positive slope, so it does not represent a direct variation.

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Problem 1450

(9) Tick the equations that are straight line graphs. $\begin{array}{ll} y=6-x & \square=5+x^{2} \square \\ y=3+\frac{x}{2} \quad \square & y=2 x+3 \end{array}$

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Problem 1451

1 2 3 4
The estimated total cost, $y$ , of a child's toy is partially based on the number of batteries used, $x$ . The cost of one battery is $\$ 0.75$ . The toy itself costs $\$ 12$ . Which equation represents the situation? $y=12 x+0.75$ $y=0.75 x+12$ $y=12 x-0.75$ $y=0.75 x-12$

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Problem 1452

Solve $\frac{n}{8}=\frac{28}{32}$ for the unknown quantity, $n$ . $n=4$ $n=224$ $n=7$ $n=112$

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Problem 1453

gebra Essentials ACR-Imag SsOLogout
Slope-Intercept Form Pre-Test Active 1 2 3 4 5 2 - 8 $\square$ $\square$ The slope of a line is 2 . The $y$ -intercept of the line is -6 . Which statements accurately describe how to graph the function? Locate the ordered pair $(0,-6)$ . From that point on the graph, move up 2 , right 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair $(0,-6)$ . From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair $(-6,0)$ . From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair $(-6,0)$ . From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points. rk this and return Save and Exit Submit

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Problem 1454

Slope-Intercept Form Pre-Test Active
1 2 3 4 5 6 7.
8 9 10 Which linear equation has a slope of 3 and a $y$ -intercept of -2 ? $y=3 x+2$ $y=3 x-2$ $y=-2 x+3$ $y=-2 x-3$

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Problem 1455

1. Выясните, является ли система векторов $\overline{a_{1}\{-1 ; 1 ;-1\}, \overline{a_{2}}\left\{\{;-1 ; 0\}, \overline{a_{3}}\{0 ; 2 ;-3\} \quad \text { линейно зависимой или линейно }\right.}$ независимой.

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Problem 1456

3. Find the zero(s) of the given function $f(x)=-\frac{-2}{5} x+4 \square$
3. What are the $y$ -intercepts? $\square$ Students, draw anywhere on this slide

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Problem 1457

I $l a+1 b+l c+d$ II $3 a+2 b+1 c$ III. $-1 a+1 b-1 c+c$
IIII $3 a-2 b+c$

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Problem 1458

The graph of a linear function passes through the points $(1,2)$ and $(2,-1)$ .
Which equation represents the function?
A $y=3 x+5$
B $y=-3 x-5$ C $y=3 x-5$ D $y=-3 x+5$

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Problem 1459

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Mr. Schwartz builds toy cars. He begins the week with a supply of 85 wheels, and uses 4 wheels for each car he builds. Mr. Schwartz plans to order more wheels once he has fewer than 40 wheels left.
The inequality that can be used to find the number of cars, $x$ , Mr. Schwartz builds before he places an order for more wheels is $\square$ $\square$ $x<40$ .
Mr.Schwartz will need to order more wheels after building $\square$ cars.

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Problem 1460

Find the $x$ - and $y$ - interce
7. $-12 x+3 y=12$ x-int $\qquad$ $y$ -int $\qquad$

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Problem 1461

(12) Solve the system of equations. Give the $x$ -coordinale $\begin{array}{l} x^{2}+y=2 \\ 2 x+y=3 \end{array}$ a) -1 b) $1,-1$ c) 1 d) $2,-2$ e) $2,-1$

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Problem 1462

2 $y=32 x+16$ 16 slope = $\qquad$ - 32

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Problem 1463

12. $5 x-2 y=-10$

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Problem 1464

11/18/24, 12:20 PM Xint: 8 Yint: - 2 (graph will cross through tho intercepts if done Correctly)
Activity Bullder
4. Graph $y+3=\frac{1}{4}(x+4)$ .
Line Move Undo Redo $\times$ Resel $y-y_{1}=m\left(x-x_{1}\right)$ Point - slope Form
Identify the intercepts.
The $x$ -intercept is $\square$ The $y$ -intercept is $\square$ .

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Problem 1465

12. $5 x-2 y=-10$

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Problem 1466

What is the equation of the graphed line? F. $y=x+3$ G. $y=3 x$ H. $y=3$ J. $x=3$ (A) Gina Wilson (All Things Algebra(B, LLC), 2012-2

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Problem 1467

Solve for $q$ in terms of $r, s$ , and $t$ . $\begin{array}{l} t=q+r+s \\ q=\square \end{array}$

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Problem 1468

Solve for $h$ in terms of $E$ and $f$ . $\begin{array}{l} E=h f \\ h= \end{array}$

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Problem 1469

Question Show Examples
Malik runs a farm stand that sells bananas and grapes. Each pound of bananas sells for \ $2 and each pound of grapes sells for$ \ $1$ . Malik made $\$ 64$ from selling a total of 50 pounds of bananas and grapes. Determine the number of pounds of bananas sold and the number of pounds of grapes sold.
Answer Attempt 1 out of 2
There were $\square$ pounds of bananas sold and $\square$ pounds of grapes sold.

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Problem 1470

Solve $10(2 y+2)-y=2(8 y-8)$ .
The solution is $y=$

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Problem 1471

Consider the following graph:
Figure Number
The equation representing this graph is: $y=3 x+1$ True False

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Problem 1472

If $2 x+y=23$ and $x+2 y=17$ , then $3 x-3 y=$ ?

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Problem 1473

Write the equation in point-slope form of the line shown below. A. $y+2=\frac{4}{5}(x+3)$ B. $y+2=\frac{5}{4}(x+3)$ C. $y-2=\frac{4}{5}(x-3)$ D. $y-2=\frac{5}{4}(x-3)$
Write a linear equation in point - slope form that represents the values in the table

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Problem 1474

Question Show Examples
Put the following equation of a line into slope-intercept form, simplifying all fractions. $15 x+3 y=21$
Answer Attempt 1 out of 2 $\square$ Submit Answer

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Problem 1475

Fundtion $A$ and Function B are linear functions.
Function A
Function $B$ \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline 2 & 9 \\ \hline 3 & 13 \\ \hline 4 & 17 \\ \hline \end{tabular}
Which statement is true?
The $y$ -intercept of Function A is greater than the $y$ -intercept of Function B .
The $y$ -intercept of Function A is less than the $y$ -intercept of Function B .

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Problem 1476

Function A and Function B are linear functions. vider
Function A $y=\frac{1}{5} x+2$
Function B \begin{tabular}{|c|c|} \hline $x$ & \\ \hline-7 & -9 \\ \hline 7 & 5 \\ \hline 8 & 6 \\ \hline \end{tabular}
Which statement is true?
The slope of function A is greater than the slope of Function B.
The slope of Function A is less than the slope of Function B . Submit Wormatoul Not feeling read vet? These can help:

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Problem 1477

Solve $4(y+2)-3=-y$ . $y=$

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Problem 1478

Function A and Function B are linear functions. \begin{tabular}{|c|c|c|} \hline Function A & Func & ion $B$ \\ \hline $y=5 x+3$ & X & N \\ \hline & $-7$ & $-18$ \\ \hline & $-6$ & $-16$ \\ \hline & $-4$ & - 12 \\ \hline \end{tabular}
Which statement is true?
The slope of Function A is greater than the slope of Function B.
The slope of Function A is less than the slope of Function B. suomt Wowht Hut Mot feeling ready yet? These can help: E

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Problem 1479

Score: 2/5 Penalty: 1 off
Question Show Examples
Solve. $10(z-10)=-40$
Answer Attempt 1 out of 2 Submit Answer

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Problem 1480

$0.7 t-3.2=1.7$

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Problem 1481

$10-5 m=45$

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Problem 1482

What is the average rate of change of $f(x)$ from $x_{1}=-7$ to $x_{2}=4$ ? Please write your answer as an integer or simplified fraction. $f(x)=6 x+2$
Answer

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Problem 1483

(4) $\equiv$ Lösen Sie das Gleichungssystem ohne Verwendung eines Rechners. a) $\left|\begin{array}{r}x+y+z=2 \\ 2 x-y+3 z=1 \\ 3 y-z=3\end{array}\right|$ b) $\left|\begin{array}{r}x+y+z=3 \\ x-y+3 z=3 \\ y-z=0\end{array}\right|$ c) $\left|\begin{array}{r}x+y+z=1 \\ 2 x-3 y-z=0 \\ 5 x+2 z=2\end{array}\right|$ d) $\left|\begin{array}{c}x+y+2 z=2 \\ 2 x-y+3 z=1 \\ x-2 y+z=-1\end{array}\right|$ e) $\left|\begin{array}{r}x-3 y+4 z=1 \\ 3 x-y+2 z=1 \\ x+5 y-6 z=1\end{array}\right|$ f) $\left|\begin{array}{c}x+y-z=5 \\ 3 x+2 y+z=13 \\ 2 x-3 y+4 z=0\end{array}\right|$ g) $\left|\begin{array}{r}2 x+3 y-z=6 \\ x-y+z=1 \\ x+4 y-2 z=5\end{array}\right|$ h) $\left|\begin{array}{r}x+2 y+4 z=6 \\ 2 x-y+3 z=2 \\ x-3 y-z=4\end{array}\right|$ i) $\left|\begin{array}{rr}x+y & =3 \\ y+z & =5 \\ x & +z=4\end{array}\right|$ j) $\left|\begin{array}{rr}x+y+z=2 \\ x-y=4 \\ 5 y+4 z=0\end{array}\right|$ k) $\left|\begin{array}{r}3 x-2 y+2 z=7 \\ x+4 y+4 z=-1 \\ x-2 y+2 z=1\end{array}\right|$ 1) $\left|\begin{array}{l}4 x-y+6 z=0 \\ 2 x-3 y-5 z=0 \\ 3 x+y+6 z=0\end{array}\right|$

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Problem 1484

4. Solve for the unknown value. $7 x-5.06=-4.92$

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Problem 1485

Practice
1. Adanya makes and sells knit scarves. Next week she will pay a $\$ 25.25$ fee for the use of a booth at a craft fair. She will charge $\$ 12.75$ for each scarf she sells at the fair. Write an expression to determine Adanya's profit for selling s scarve after paying the fee for the use of the booth.
2. The cost to buy $p$ pounds of potatoes at $\$ 0.32$ per pound and $n$ pounds of onions at $\$ 0.48$ per pound can be determined by using the expression $0.32 p+0.48 n$ . How much will it cost to buy 4.5 pounds of potatoes and 2.5 pounds of onions?

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Problem 1486

Select the expressions that are equivalent to $6(4 \$$ \ $+5$ )+5 $.$ $\frac{35 s+24}{(5+4 s) 6+5}$ $

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Problem 1487

A line passes through the points in this table. \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline-14 & -2 \\ \hline 2 & 2 \\ \hline 10 & 4 \\ \hline 14 & 5 \\ \hline \end{tabular}
What is the slope of the line? Write your answer as an integer or simplified fraction. $\square$

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Problem 1488

$\begin{aligned}(30-10 x) & -(-17 x-25) \\ & =\end{aligned}$

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Problem 1489

2. Select all coordinate pairs that are solutions to the inequality $5 x+9 y<45$ . A. $(0,0)$ B. $(5,0)$ C. $(9,0)$ D. $(0,5)$ E. $(0,9)$ F. $(5,9)$ G. $(-5,-9)$

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Problem 1490

5. Choose the inequality whose solution set is represented by this graph. A. $x-3 y<5$ B. $x-3 y \leq 5$ C. $x-3 y>5$ D. $x-3 y \geq 5$

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Problem 1491

For the following vectors, (a) find the dot product $\mathbf{v} \cdot \mathbf{w}$ ; (b) find the angle between $\mathbf{v}$ and $\mathbf{w}$ ; (c) state whether the vectors are parallel, orthogonal, or neither. $\mathbf{v}=5 \mathbf{i}+3 \mathbf{j}, \mathbf{w}=3 \mathbf{i}-5 \mathbf{j}$ (a) $v \cdot w=$ $\square$ (Simplify your answer.)

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Problem 1492

6. Solve each system of equations without graphing. a. $\left\{\begin{array}{l}4 d+7 e=68 \\ -4 d-6 e=-72\end{array}\right.$ b. $\left\{\begin{array}{l}\frac{1}{4} x+y=1 \\ \frac{3}{2} x-y=\frac{4}{3}\end{array}\right.$

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Problem 1493

How many solutions does the system of equations below have? $\begin{array}{l} 8 x+3 y=3 \\ 19 x+5 y=-13 \end{array}$ no solution one solution infinitely many solutions

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Problem 1494

Fill in the table using this function rule. $y=-10 x+2$ \begin{tabular}{|c|c|} \hline $x$ & $y$ \\ \hline-1 & $\square$ \\ \hline 0 & $\square$ \\ \hline 1 & $\square$ \\ \hline 5 & $\square$ \\ \hline \end{tabular}

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Problem 1495

Bestimme die lineare Funktionsgleichung, a) $m=2 ; P(-1 \mid-5)$

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Problem 1496

$\begin{array}{l}40-n=24 \\ n=\end{array}$

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Problem 1497

Solve using elimination. $\begin{array}{l} 8 x-2 y=-16 \\ -8 x+3 y=8 \end{array}$ $\square$ $\square$ Súbmit

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Problem 1498

Solve the system of equations by the substitution method or elimination method. List your answers as points in the form $(x, y)$ . If there are no solutions, type "None". $\binom{x y=18}{2 x+2 y=18}$
Answer (separate by commas): $\square$

See Solution

Problem 1499

Solve using elimination. $\begin{array}{l} -7 x+y=16 \\ x+2 y=17 \end{array}$ $\square$ $\square$

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Problem 1500

Which of the following inequalities is graphed on the coordinate plane? A. $y \geq \frac{1}{4} x+1$ B. $y>\frac{1}{4} x+1$ C. $y \leq \frac{1}{4} x+1$ D. $y<\frac{1}{4} x+1$

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Linearity

Problem 1401

3x+7y=−222x+6y=12\begin{array}{l}3 x+7 y=-22 \\ 2 x+6 y=12\end{array}3x+7y=−222x+6y=12​

Problem 1402

of to relax before it's bedtime a. Write and graph a system of linear inequalities that represents the situation.Let x=x=x= number of hours doing homework Let y=y=y= number of hours relaxing {\{{ b. Identify and interpret a solution of the system.

Problem 1403

Problem 1404

Problem 1405

Express the line y=xy=xy=x as a polar equation without using trig functions. □\square□ Express any angles in degrees. Round to the nearest degree, and type "degree" for the degree symbol. Remember to use an equals sign. Type theta for θ\thetaθ.

Problem 1406

Problem 1407

Solve the compound inequality. 2v−5≤7 or −3v<−92 v-5 \leq 7 \text { or }-3 v<-92v−5≤7 or −3v<−9Graph the solution on the number line. If there is no solution, click on "No solution".

Problem 1408

Part 1 of 4The graph shows the relationship between the number of cubic yards of soil ordered and the total cost of the soil delivered. a. What is the constant rate of change? What does it represent? b. What is the initial value? What might that represent? a. What is the constant rate of change?

Problem 1409

Problem 1410

Problem 1411

Problem 1412

Problem 1413

Problem 1414

Problem 1415

Select all the expressions that represent the verbal the difference of 12 and 20%20 \%20% of a number xxx 2.4x2.4 x2.4x −0.2x+12-0.2 x+12−0.2x+12 12−20x12-20 x12−20x 12−0.2x12-0.2 x12−0.2x −20x+12-20 x+12−20x+12

Problem 1416

Match the following expression with what it would be AFTER you distribute.6(x−3)6(x-3)6(x−3) −6(x+3)-6(x+3)−6(x+3) 6(x+3)6(x+3)6(x+3) −6(x−3)-6(x-3)−6(x−3) 6x−186 x-186x−18 6x+186 x+186x+18 −6x+18-6 x+18−6x+18 −6x−18-6 x-18−6x−18

Problem 1417

Problem 1418

Problem 1419

Problem 1420

11. 6x−3=9y6 x-3=9 y6x−3=9y

Problem 1421

Problem 1422

Problem 1423

y=5x−4y=−6x+14\begin{array}{l}y=5 x-4 \\ y=-6 x+14\end{array}y=5x−4y=−6x+14​

Problem 1424

Problem 1425

What is the slope of a line. a) Paralle (b) perpendecilar to the following? 1) 3x−4y=23 x-4 y=23x−4y=2 a) m=m=m= b) m=m=m= 2) y=7x−3y=7 x-3y=7x−3 a) m=m=m= b) m=m=m= 3) What does "I" mean?

Problem 1426

The sum of 5.75 and half a number is -5 . What is the number? Enter your answer as a decimal in the box. n=n=n=

Problem 1427

−2(x+1)+5x=3(x+1)−2-2(x+1)+5 x=3(x+1)-2−2(x+1)+5x=3(x+1)−2 No solution x=x=x= □\square□ All real•numbers are solutions 4(y−3)−6y=−2(y+6)4(y-3)-6 y=-2(y+6)4(y−3)−6y=−2(y+6) No solution y=y=y= □\square□ All real numbers are solutions

Problem 1428

Problem 1429

Problem 1430

of the form f(x)=ax+bf(x)=a x+bf(x)=ax+b : Fractional slope Graph the function g(x)=−32x+3g(x)=-\frac{3}{2} x+3g(x)=−23​x+3.

Problem 1431

Graph the function g(x)=14x−6g(x)=\frac{1}{4} x-6g(x)=41​x−6

Problem 1432

(Adding and Subtracting Linear Expressions MC) Write the following expression using the fewest possible terms. (−2x−13)+(19+5x)(-2 x-13)+(19+5 x)(−2x−13)+(19+5x) 3x+(−6)3 x+(-6)3x+(−6) 7x+(−6)7 x+(-6)7x+(−6) 7x+327 x+327x+32 3x+63 x+63x+6

Problem 1433

System BLine 1: y=3x+3y=3 x+3y=3x+3Line 2: y=3xy=3 xy=3xThis system of equations is: consistent dependent consistent independent inconsistentThis means the system has: a unique solution Solution: □\square□ □\square□ D) no solution infinitely many solutions

Problem 1434

Which value of nnn makes the equation true? −12n=−8-\frac{1}{2} n=-8−21​n=−8 A. -16 B. -4 C. 4 D. 16

Problem 1435

Problem 1436

Problem 1437

The graph of a function fff is shown below. Find one value of xxx for which f(x)=4f(x)=4f(x)=4 and find f(0)f(0)f(0). (a) One value of xxx for which f(x)=4f(x)=4f(x)=4 : 0 (b) f(0)=f(0)=f(0)= □\square□

Problem 1438

Question 7 (1 point) Solve for x −1/3x=3/4-1 / 3 x=3 / 4−1/3x=3/4 1/41 / 41/4 −21/4-21 / 4−21/4 −1/4-1 / 4−1/4 13/413 / 413/4

Problem 1439

Question 9 (1 point) The sum of 5.5 and twice a number is -10 What is the number? n=−2.125n=-2.125n=−2.125 n=2.125n=2.125n=2.125 n=7.75n=7.75n=7.75 n=−7.75n=-7.75n=−7.75

Problem 1440

Subtract (6.25x+12)−(4.25x−7)(6.25 x+12)-(4.25 x-7)(6.25x+12)−(4.25x−7) (A) 2x−52 x-52x−5 (B) 2x+52 x+52x+5 (C) 2x−192 x-192x−19 (D) 2x+192 x+192x+19

Problem 1441

12. a) C/H\mathrm{C} / \mathrm{H}C/H b) D/J\mathrm{D} / \mathrm{J}D/J c) A/FA / FA/F d) B/GB / GB/G

Problem 1442

7. Subtract (5x+13)−(3x−16)\left(5 x+\frac{1}{3}\right)-\left(3 x-\frac{1}{6}\right)(5x+31​)−(3x−61​).

Problem 1443

Problem 1444

2x−y=−2x=−2\begin{array}{l}2 x-y=-2 \\ x=-2\end{array}2x−y=−2x=−2​

Problem 1445

A worker applies a force of 360 N[E]360 \mathrm{~N}[E]360 N[E] on a trunk of mass 50 kg . Frictionol resistance amounts to 340 N . What is the acceleration of the trunk?

Problem 1446

It is given that yyy is directly proportional to xxx. \begin{tabular}{|c|c|} \hline x\boldsymbol{x}x & y\boldsymbol{y}y \\ \hline 1 & -4 \\ \hline 2 & -8 \\ \hline 3 & -12 \\ \hline 4 & -16 \\ \hline 5 & -20 \\ \hline \end{tabular}What is the constant of variation? □\square□

Problem 1447

Solve the equation System by elimination x−y=−34x+3y=−5\begin{array}{l} x-y=-3 \\ 4 x+3 y=-5 \end{array}x−y=−34x+3y=−5​

Problem 1448

Problem 1449

Problem 1450

(9) Tick the equations that are straight line graphs. y=6−x□=5+x2□y=3+x2□y=2x+3\begin{array}{ll} y=6-x & \square=5+x^{2} \square \\ y=3+\frac{x}{2} \quad \square & y=2 x+3 \end{array}y=6−xy=3+2x​□​□=5+x2□y=2x+3​

Problem 1451

$\begin{array}{l}3 x+7 y=-22 \\ 2 x+6 y=12\end{array}$

of to relax before it's bedtime a. Write and graph a system of linear inequalities that represents the situation.
Let $x=$ number of hours doing homework Let $y=$ number of hours relaxing $\{$ b. Identify and interpret a solution of the system.

Express the line $y=x$ as a polar equation without using trig functions. $\square$ Express any angles in degrees. Round to the nearest degree, and type "degree" for the degree symbol. Remember to use an equals sign. Type theta for $\theta$ .

Solve the compound inequality. $2 v-5 \leq 7 \text { or }-3 v<-9$
Graph the solution on the number line. If there is no solution, click on "No solution".

Part 1 of 4
The graph shows the relationship between the number of cubic yards of soil ordered and the total cost of the soil delivered. a. What is the constant rate of change? What does it represent? b. What is the initial value? What might that represent? a. What is the constant rate of change?

Select all the expressions that represent the verbal the difference of 12 and $20 \%$ of a number $x$ $2.4 x$ $-0.2 x+12$ $12-20 x$ $12-0.2 x$ $-20 x+12$

Match the following expression with what it would be AFTER you distribute.
$6(x-3)$ $-6(x+3)$ $6(x+3)$ $-6(x-3)$ $6 x-18$ $6 x+18$ $-6 x+18$ $-6 x-18$

11. $6 x-3=9 y$

$\begin{array}{l}y=5 x-4 \\ y=-6 x+14\end{array}$

What is the slope of a line. a) Paralle (b) perpendecilar to the following? 1) $3 x-4 y=2$ a) $m=$ b) $m=$ 2) $y=7 x-3$ a) $m=$ b) $m=$ 3) What does "I" mean?

The sum of 5.75 and half a number is -5 . What is the number? Enter your answer as a decimal in the box. $n=$

$-2(x+1)+5 x=3(x+1)-2$ No solution $x=$ $\square$ All real•numbers are solutions $4(y-3)-6 y=-2(y+6)$ No solution $y=$ $\square$ All real numbers are solutions

of the form $f(x)=a x+b$ : Fractional slope Graph the function $g(x)=-\frac{3}{2} x+3$ .

Graph the function $g(x)=\frac{1}{4} x-6$

(Adding and Subtracting Linear Expressions MC) Write the following expression using the fewest possible terms. $(-2 x-13)+(19+5 x)$ $3 x+(-6)$ $7 x+(-6)$ $7 x+32$ $3 x+6$

System B
Line 1: $y=3 x+3$
Line 2: $y=3 x$
This system of equations is: consistent dependent consistent independent inconsistent
This means the system has: a unique solution Solution: $\square$ $\square$ D) no solution infinitely many solutions

Which value of $n$ makes the equation true? $-\frac{1}{2} n=-8$ A. -16 B. -4 C. 4 D. 16

The graph of a function $f$ is shown below. Find one value of $x$ for which $f(x)=4$ and find $f(0)$ . (a) One value of $x$ for which $f(x)=4$ : 0 (b) $f(0)=$ $\square$

Question 7 (1 point) Solve for x $-1 / 3 x=3 / 4$ $1 / 4$ $-21 / 4$ $-1 / 4$ $13 / 4$

Question 9 (1 point) The sum of 5.5 and twice a number is -10 What is the number? $n=-2.125$ $n=2.125$ $n=7.75$ $n=-7.75$

Subtract $(6.25 x+12)-(4.25 x-7)$ (A) $2 x-5$ (B) $2 x+5$ (C) $2 x-19$ (D) $2 x+19$

12. a) $\mathrm{C} / \mathrm{H}$ b) $\mathrm{D} / \mathrm{J}$ c) $A / F$ d) $B / G$

7. Subtract $\left(5 x+\frac{1}{3}\right)-\left(3 x-\frac{1}{6}\right)$ .

$\begin{array}{l}2 x-y=-2 \\ x=-2\end{array}$

A worker applies a force of $360 \mathrm{~N}[E]$ on a trunk of mass 50 kg . Frictionol resistance amounts to 340 N . What is the acceleration of the trunk?

It is given that $y$ is directly proportional to $x$ . \begin{tabular}{|c|c|} \hline $\boldsymbol{x}$ & $\boldsymbol{y}$ \\ \hline 1 & -4 \\ \hline 2 & -8 \\ \hline 3 & -12 \\ \hline 4 & -16 \\ \hline 5 & -20 \\ \hline \end{tabular}
What is the constant of variation? $\square$

Solve the equation System by elimination $\begin{array}{l} x-y=-3 \\ 4 x+3 y=-5 \end{array}$

(9) Tick the equations that are straight line graphs. $\begin{array}{ll} y=6-x & \square=5+x^{2} \square \\ y=3+\frac{x}{2} \quad \square & y=2 x+3 \end{array}$

Solve $\frac{n}{8}=\frac{28}{32}$ for the unknown quantity, $n$ . $n=4$ $n=224$ $n=7$ $n=112$

Slope-Intercept Form Pre-Test Active
1 2 3 4 5 6 7.
8 9 10 Which linear equation has a slope of 3 and a $y$ -intercept of -2 ? $y=3 x+2$ $y=3 x-2$ $y=-2 x+3$ $y=-2 x-3$

3. Find the zero(s) of the given function $f(x)=-\frac{-2}{5} x+4 \square$
3. What are the $y$ -intercepts? $\square$ Students, draw anywhere on this slide

I $l a+1 b+l c+d$ II $3 a+2 b+1 c$ III. $-1 a+1 b-1 c+c$
IIII $3 a-2 b+c$

The graph of a linear function passes through the points $(1,2)$ and $(2,-1)$ .
Which equation represents the function?
A $y=3 x+5$
B $y=-3 x-5$ C $y=3 x-5$ D $y=-3 x+5$

Find the $x$ - and $y$ - interce
7. $-12 x+3 y=12$ x-int $\qquad$ $y$ -int $\qquad$

(12) Solve the system of equations. Give the $x$ -coordinale $\begin{array}{l} x^{2}+y=2 \\ 2 x+y=3 \end{array}$ a) -1 b) $1,-1$ c) 1 d) $2,-2$ e) $2,-1$

2 $y=32 x+16$ 16 slope = $\qquad$ - 32

12. $5 x-2 y=-10$

12. $5 x-2 y=-10$

What is the equation of the graphed line? F. $y=x+3$ G. $y=3 x$ H. $y=3$ J. $x=3$ (A) Gina Wilson (All Things Algebra(B, LLC), 2012-2

Solve for $q$ in terms of $r, s$ , and $t$ . $\begin{array}{l} t=q+r+s \\ q=\square \end{array}$

Solve for $h$ in terms of $E$ and $f$ . $\begin{array}{l} E=h f \\ h= \end{array}$

Solve $10(2 y+2)-y=2(8 y-8)$ .
The solution is $y=$

Consider the following graph:
Figure Number
The equation representing this graph is: $y=3 x+1$ True False

If $2 x+y=23$ and $x+2 y=17$ , then $3 x-3 y=$ ?

Question Show Examples
Put the following equation of a line into slope-intercept form, simplifying all fractions. $15 x+3 y=21$
Answer Attempt 1 out of 2 $\square$ Submit Answer