Browse Linearity problems Studdy Solved!

Problem 3101

Practice and Problem-Solving Exercises Mathematical PRACTICES
Solve each equation. Check your answer.
10. $5 x-1=x+15$
11. $4 p+2=3 p-7$
12. $6 m-2=2 m+6$
13. $3+5 q=9+4 q$
14. $8-2 y=3 y-2$
15. $3 n-5=7 n+11$
16. $2 b+4=-18-9 b$
17. $-3 c-12=-5+c$
18. $-n-24=5-n$

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Problem 3102

Consider the following system. $\left\{\begin{array}{l} x=6 y+2 \\ 3 x-18 y=6 \end{array}\right.$
When solving this system by the substitution method, $6=6$ is obtained. What is the solution set? A. The solution set is $\square$ \}. (Type an ordered pair.) B. There are infinitely many solutions. The solution set is $\{(x, y) \mid x=6 y+2\}$ or $\{(x, y) \mid 3 x-18 y=6\}$ . C. The solution is $\varnothing$ .

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Problem 3103

At the north campus of a performing arts school, $20 \%$ of the students are music majors. At the south campus, $30 \%$ of the students are music majors. The campuses are merged into one east campus. If $24 \%$ of the 1000 students at the east campus are music majors, how many students did each of the north and south campuses have before the merger?
The north campus had 600 students. The south campus had $\square$ students.

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Problem 3104

(1 point)
Let $W$ be the set of all vectors of the form $\left[\begin{array}{c}2 s+3 t \\ 5 s+2 t \\ 4 s-t\end{array}\right]$ . Find vectors $\tilde{w}$ and $z$ in $\mathbb{R}^{3}$ such that $\mathbb{W}=\operatorname{span}\{\overrightarrow{\tilde{z}}, \vec{\nabla}\}$ . $\vec{u}=\left[\begin{array}{l} \square \\ \square \\ \square \end{array}\right] \cdot \vec{v}=\left[\begin{array}{c} \square \\ \square \\ \square \end{array}\right]$

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Problem 3105

Use Cramer's rule to find the solution to the following system of linear equations. $\begin{array}{l} x-3 y=4 \\ 2 x+2 y=1 \end{array}$
The determinant of the coefficient matrix is $D=$ $\square$ $\square$ $\square$ $\begin{array}{l} x=\frac{|\square \square|}{D}= \\ y=\frac{\left|\begin{array}{l} \square \square \\ \square \square \end{array}\right|}{D}= \end{array}$ $\square$ $\square$

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Problem 3106

Which of the following sets are subspaces of $\mathbb{R}^{3}$ ? A. $\{(x, y, z) \mid-5 x-2 y+4 z=-8\}$ B. $\{(8 x, 5 x, 2 x) \mid x$ arbitrary number $\}$ C. $\{(x, y, z) \mid 9 x-3 y=0,6 x+8 z=0\}$ D. $\{(-9, y, z) \mid y, z$ arbitrary numbers $\}$ E. $\{(x, y, z) \mid x, y, z>0\}$ F. $\{(x, y, z) \mid x+y+z=0\}$

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Problem 3107

A car and a motorcycle start from the same point and travel in opposite directions.
Given that the car travels at $50 \mathrm{~km} / \mathrm{h}$ , while the motorcycle travels at $40 \mathrm{~km} / \mathrm{h}$ , after how many hours will they be 315 km apart?

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Problem 3108

3 Tegn en graf, der viser sammenhengen mellem temperaturer målt i grader celsius og grader fahrenheit.

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Problem 3109

$\left\{\begin{array}{l} -1 x+2 y=-2 \\ -4 x-5 y=-47 \end{array}\right.$
True or False: The point $(8,3)$ is a solution of the system. True False

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Problem 3110

Consider the following system of equations and its graph: $\left\{\begin{array}{ll} -4 x-3 y & =4 \\ 3 x+y & = \end{array}-8\right.$ A) What is the solution of the system?
Answer: $(x, y)=($ $\square$ $-4$ 4 $\square$ B) In the boxes below, enter either the letter A or B to match the equation to the graph shown. $\square$ $-4 x-3 y=4$ a. Graph A $\square$ $3 x+y=-8$ b. Graph B

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Problem 3111

$\left\{\begin{array}{l} x+y=-48 \\ y=5 x \end{array}\right.$
Answer: $(x, y)=$ $\square$ , $\square$ ) Preview $x$ : Preview $y$ :

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Problem 3112

Given the points $(-1,-5)$ and $(-4,16)$ , answer the questions:
1. Slope is: $-7 \checkmark$
2. Point-Slope Form is: $-7(x+5)=y+1 \vee$ (Use the first point)
3. Slope-Intercept Form is: $\square$

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Problem 3113

Cory has a gym membership that can be represented by the inequality $\frac{x}{12} \leq 7$ .
Cory has a choose your answer... $\square$ membership that costs $x$ dollars. He pays choose your answer... $\square$ each month.

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Problem 3114

$\begin{array}{r}3 x=-2 \\ x=\end{array}$

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Problem 3115

Supply \& Demand In supply (and demand) problems, $y$ is the number of items the supplier will produce (or the public will buy) if the price of the item is $x$ .
For a particular product, the supply equation is and the demand equation is $\begin{array}{c} y=5 x+595 \\ y=-2 x+812 \end{array}$
What is the intersection point of these two lines? $\square$ Enter answer as an ordered pair (don't forget the parentheses). What is the selling price when supply and demand are in equilibrium? price = \\square$ /item
What is the amount of items in the market when supply and demand are in equilibrium? number of items = $\square$

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Problem 3116

Find the $x$ -intercept and $y$ -intercept of the line. $x-2 y=-6$ x -intercept: $\square$ y -intercept: $\square$

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Problem 3117

Solve the system of equations by graphing: $\left\{\begin{aligned} y-2 x & =11 \\ -1 y & =-2 x-11\end{aligned}\right.$ Enter the solution set in the boxes below. If the lines are parallel, enter DNE (for "does not exist") into each box. If the lines are coincident (infinite number of solutions), enter oo into each box. (Note: Use double letter o's, not zeros, for infinity.) $(x, y)=1$ $\square$ $\square$

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Problem 3118

Solve the system of equations by graphing: $\left\{\begin{aligned} y-2 x & =11 \\ -1 y & =-2 x-11\end{aligned}\right.$ Enter the solution set in the boxes below. If the lines are parallel, enter DNE (for "does not exist") into each box. If the lines are coincident (infinite number of solutions), enter oo into each box. (Note: Use double letter o's, not zeros, for infinity.) $(x, y)=1$ $\square$ $\square$

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Problem 3119

Chat Blackboard Solve the system of equations by graphing: $\left\{\begin{aligned} y+3 x & =11 \\ 3 y & =-9 x+33\end{aligned}\right.$ Enter the solution set in the boxes Collaborate below. If the lines are parallel, enter DNE (for "does not exist") into each box. If the lines are coincident (infinite number of solutions), enter oo into each box. (Note: Use double letter o's, not zeros, for infinity.)
Collaborations $(x, y)=($ $\square$ $\square$ )

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Problem 3120

Video
Find the $y$ -intercept of the line $y=-3 x-9$ . Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair. $\square$ Submit

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Problem 3121

$-18.4 s \leq-19.74-18.6 s$
Write your answer with s first, followed by an inequality symbol. $\square$ Submit

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Problem 3122

Video
Find the $y$ -intercept of the line $y=-\frac{8}{7} x-3$ Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair. $\square$ Submit Work it out

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Problem 3123

Determine the system of equations illustrated in the graph. Write equations in standard form.
Choose the correct system of equations illustrated in the graph. A. $-x+2 y=20$ B. $x-2 y=-2$ $5 x+4 y=2 \quad 5 x+4 y=20$ C. $2 x-y=2$ D. $x-2 y=-2$ $5 x+4 y=20$ $4 x+5 y=20$

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Problem 3124

Solve the given system of equations. $\begin{array}{l} x+y+3 z=-7 \\ x+y+4 z=-9 \\ x-9 y+7 z=-25 \end{array}$
Select the correct choice below and fill in any answer boxes within your choice. A. There is one solution. The solution set is $\{(\square, \square, \square)\}$ . (Simplify your answers.) B. There are infinitely many solutions. C. There is no solution.

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Problem 3125

Solve for $m$ $m+\frac{1}{3}<-2 \frac{1}{4}$ $m>-2 \frac{7}{12}$ $m>-1 \frac{11}{12}$ $m<-1 \frac{11}{12}$ $m<-2 \frac{7}{12}$

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Problem 3126

Solve for $x$ . $x+(-1.8)=-5.37$
Enter your answer as a decimal in the box. $x=$

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Problem 3127

Question Watch Video Show Examples
Find the x - and y -intercepts of the graph of $3 x-y=37$ . State each answer as an integer or an improper fraction in simplest form.
Answer Attempt 1 out of 2

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Problem 3128

Let $f: \mathbb{R} \rightarrow \mathbb{R}^{3}$ be defined by $f(x)=\langle 7 x, 4 x, 3-3 x\rangle$ . Is $f$ a linear transformation? a. $\begin{array}{l} f(x+y)=\square \\ f(x)+f(y)=\square+\square \end{array}$
Does $f(x+y)=f(x)+f(y)$ for all $x, y \in \mathbb{R}$ ? choose $\square$ b. $\begin{array}{l} f(c x)=\square \\ c(f(x))=\square(\square) \end{array}$
Does $f(c x)=c(f(x))$ for all $c, x \in \mathbb{R}$ ? choose $\square$ c. Is $f$ a linear transformation? $\square$ choose

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Problem 3129

What is the equation of the line that passes through the point $(-6,-8)$ and has a slope of $\frac{1}{2}$ ?
Answer Attempt 1 out of 2

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Problem 3130

Graph this line using intercepts: $10 x+80 y=-800$
Click to select points on the graph.

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Problem 3131

For the relation: $y=2 x-4$ , sketch the graph of the relation and its inverse, then write the equation for the inverse.
Clear All Draw: $\square$
Inverse: $y=$ $\square$

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Problem 3132

A graph is shown below:
Which of the following inequalities is best represented by this graph? (1 point) 1) $5 x+y \leq 2$ 2) $5 x+y \geq 2$ 3) $5 x-y \leq 2$ 4) $5 x-y \geq 2$

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Problem 3133

You can afford to spend at most 80 dollars per month on a video game plan. If your video game plan costs 20 dollars per month, plus 4 dollars per game downloaded how many games can you afford to download?
You can afford to download Select an answerv $\square$ games.

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Problem 3134

20. $-2 x+y=8$
21. $-4 x+y=-12$
22. $6 x-2 y=$
For each equation, tell whether its graph is a horizontal or a vertical line.
23. $y=-4$
24. $x=3$
25. $y=\frac{7}{4}$
Graph each equation.
27. $y=6$
28. $x=-3$
29. $y=-2$ $30 . x$ Write each equation in standard form using integers.

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Problem 3135

Cool Down Lin's job pays $\$ 8.25$ an hour plus $\$ 10$ of transportation allowance each week. She has to work at least 5 hou week to keep the job, and can earn up to $\$ 175$ per week (including the allowance).
1. Represent this situation mathematically. If you use variables, specify what each one means.
2. How many hours per week can Lin work? Explain or show your reasoning.

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Problem 3136

27. $y=6$
28. $x=-3$
29. $y=-2$
30. $x=7$
Write each equation in standard form using integers.
31. $y=2 x+5$
32. $y+3=4(x-1)$ See Problem 4.
34. $y=\frac{1}{4} x-2$
35. $y=-\frac{2}{3} x-1$
33. $y-4=-2(x-3)$
36. $y+2=\frac{2}{3}(x+4)$
37. Video Games In a video game, you earn 5 points for each jewel you find. You earn 2 points for each star you find. Write and graph an equation that represents - See Problem 5. the numbers of jewels and stars you must find to earn 250 points. What are three combinations of jewels and stars you can find that will earn you 250 points?
38. Clothing A store sells T-shirts for $\$ 12$ each and sweatshirts for $\$ 15$ each. You

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Problem 3137

A linear function is given. Complete parts (a)-(d). $h(x)=5 x+3$ (a) Determine the slope and $y$ -intercept of the function.
The slope is $\square$ (Type an integer or a simplified fraction.) The $y$ -intercept is $\square$ . (Type an integer or a simplified fraction.) (b) Use the slope and $y$ -intercept to graph the linear function.
Use the graphing tool to graph the function. Use the slope and $y$ -intercept when drawing the line. (c) Determine the average rate of change of the function.
The average rate of change is $\square$ . (d) Determine whether the linear function is increasing, decreasing, or fonstant. Choose the correct answer below. A. decreasing B. increasing

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Problem 3138

Solve the inequality. $-\frac{3}{10} y \leq 12$
The solution set is $\{y \mid$ $\square$ \}.

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Problem 3139

John reads an equal number of pages of a book every week. The graph below shows the number of pages of the book left to read, $y$ , after $x$ weeks:
Which equation best models the relationship between $x$ and $y$ ? ( 5 points) 1) $y=-5 x+25$ 2) $y=-25 x+125$ 3) $y=-25 x+175$ 4) $y=-5 x+125$

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Problem 3140

Find two numbers $a$ and $b$ whose sum $a+b$ is -4 and whose difference $a-b$ is -2 . Your answer is $a=$ $b=$ $\square$ $\square$

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Problem 3141

Graph the inequality. $y \geq x-3$

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Problem 3142

You are choosing between two different cell phone plans. The first plan charges a rate of 19 cents per minute. The second plan charges a monthly fee of $\$ 49.95$ plus 9 cents per minute. How many minutes would you have to use in a month in order for the second plan to be preferable? Round up to the neare whole minute.

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Problem 3143

$\begin{aligned} y-12 & =89 \\ y-12+\square & =89+12 \\ y & =\square\end{aligned}$

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Problem 3144

$20=y+12$

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Problem 3145

Let $f(x)=2 x-1$
The smallest positive number for which $f(\cos (f(x)))=0$ is $x=$ $\square$ Hint: Begin by using the definition of $f$ to remove $f$ from the equation. Then solve a linear equation for $\cos (2 x-1)$ . Then solve for $x$ .

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Problem 3146

A man has 14 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 245 cents, how many dimes and how many quarters does he have? Your answer is number of dimes equals $\square$ number of quarters equals $\square$ Question Help: Video Submit Question

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Problem 3147

this sinuatione
43. Error Gnatyeis Describe and corrsect the earor in finding the solurion of the equmation $2 x=$ Eix 4a. Staing A subier lis tryingto decide whether or mor to buy a conts s350. The sikier survild hane to ment sibis with either pass shing in o-der to rnake the seasom pass less expentine tham daily passes?
45. Health Clubs Orieheallo club charges a sisosign-up fee and sias per mouth Amofher club charges a s90 sige-up fee and sesper month For vathat mumber of moneftas is the cost of the cinbs eqpal?
45. Geometry The perimeters of the triangles shonumare equall Find the shide lenghas of each triangle
47. Business Asmall juice company spends $\$ 1200$ per dey on business expenses plus $\$ 110$ per boule of juice they make. They charge $\$ 2.50$ for each bortle of juice they produce. Hiow many bortles of juice wust the company sell in one cay im onder tho equal its daily costs?
48. Spreadsheet You set up a spreadsheet to solue $7(x+1)=3(x-1)$ . a. Does your spreadsheet shone the solution of the equation? b. Between withich two values of $x$ is the solution of the equation? How do you loson? C. For what spreadsheet values of $x$ is $7(x+1)$ less than $3(x-1)$ ? \begin{tabular}{|c|c|c|c|} \hline & $A$ & $B$ & $C$ \\ \hline 1 & $x$ & $7(x+1)$ & $3(x-1)$ \\ \hline 2 & -5 & -28 & -13 \\ \hline 3 & -3 & -14 & -12 \\ \hline 4 & -1 & 0 & -6 \\ \hline 5 & 1 & 14 & 0 \\ \hline 6 & 3 & 28 & 6 \\ \hline \end{tabular}

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Problem 3148

Solve the system of equations by graphing: $\left\{\begin{array}{l}y-5 x=11 \\ -3 y=-15 x-33\end{array}\right.$ Enter the solution set in the boxes below. If the lines are parallel, enter DYE (for "does not exist") into each box. If the lines are coincident (infinite number of solutions), enter oo into each box. (Note: Use double letter o's, not zeros, for infinity.) $(x, y)=($ $\square$ $\square$

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Problem 3149

47. Business A small juice company spends $\$ 1200$ per day on business expenses plus $\$ 1.10$ per bottle of juice they make. They charge $\$ 2.50$ for each bottle of juice they produce. How many bottles of juice must the company sell in one day in order to equal its daily costs?
48. Spreadsheet You set up a spreadsheet to solve $7(x+1)=3(x-1)$ . a. Does your spreadsheet show the solution of the equation? b. Between which two values of $x$ is the solution of the equation? How do you know? c. For what spreadsheet values of $x$ is $7(x+1)$ less than $3(x-1)$ ? \begin{tabular}{|c|c|c|} \hline & $A$ & $B$ \\ \hline 1 & $x$ & $7(x+$ \\ \hline 2 & -5 & -28 \\ \hline 3 & -3 & -14 \\ \hline 4 & -1 & \\ \hline 5 & 1 & \\ \hline 6 & 3 & \\ \hline \end{tabular}

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Problem 3150

Submit Answer [-/2.3 Points] DETAILS MY NOTES TANAPMATH7 5.3.036. PRACTICE ANOTHER
Solve the system of linear equations, using the Gauss-Jordan elimination method, (If there is no solution, enter NO SOLUTION. If there are infinitely many solutions, express your answer in terms of the parameter $t$ . Use $s$ if a second parameter is needed.) $\begin{array}{rr} 3 x-2 y+z= & 2 \\ x+3 y-4 z= & 5 \\ 2 x-3 y+5 z= & -3 \\ x-8 y+9 z= & -8 \\ (x, y, z)=(\square) \end{array}$ Need Help? Read It Whatch it
Glow My Work (Optiona)

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Problem 3151

Simplify the expression $(-11 x+31 y)-2(-x+5 y)$ and find its equivalent form. Choose from: A) $-13 x+21 y$ , B) $-13 x+36 y$ , C) $-9 x+21 y$ , D) $-9 x+36 y$ .

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Problem 3152

Completely factor the expression: $21x - 6$ .

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Problem 3153

Form a true equation using the numbers 2, 3, 4, 5 and the symbols = and +, using each only once. How?

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Problem 3154

Find the expression for $B - 2C$ in standard form, given $B = -t - 1$ and $C = 3t - 2$ .

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Problem 3155

Stacey earns \ $15 weekly plus \$0.50 per customer. What equation finds$ x$, customers needed for \$25?

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Problem 3156

Which equation fits the points (-2,-1), (-1,1), (0,3), (1,5), (2,7)? Options: $y=x+2$ , $y=x+4$ , $y=2x+3$ , $y=3x+1$ .

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Problem 3157

Find missing values in these financial equations:
1. $Net \, Income = 27000 - 18000$ .
2. $Dividends = 11000 + 12000 - 17000$ .
3. $Liabilities = 24000 - 15000$ .
4. $Net \, financing \, cash \, flows = 26000 - 34000 + 17000$ .

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Problem 3158

Evaluate the expression for $z=-1$ : $74z + 25 - 76z$ .

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Problem 3159

Evaluate the expression for $q=-5$ and $r=-3$ : $q r + 19 q =$

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Problem 3160

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

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Problem 3161

Solve for $x$ in the equation $x - \frac{5}{4} = \frac{2}{3}$ .

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Problem 3162

Evaluate $h j - j - k$ for $h=4$ , $j=13$ , and $k=-34$ .

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Problem 3163

Solve the inequality $2y + 6 > 20$ and identify the corresponding graph.

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Problem 3164

Solve the inequality $2y + 6 > 20$ and identify the correct graph for the solution.

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Problem 3165

Find the standard form of the line through points $(-5,-1)$ and $(10,-7)$ given the point-slope form. Options: $2 x-5 y=-15$ , $2 x-5 y=-17$ , $2 x+5 y=-15$ , $2 x+5 y=-17$ .

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Problem 3166

Find the value of $b$ in the line equation $y = mx + b$ for points $C(1,3)$ and $D(4,-3)$ .

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Problem 3167

Find the equation of line $C D$ that passes through points $(0,2)$ and $(4,6)$ .

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Problem 3168

Who has a steeper slope: Marty's function $v+3=\frac{1}{3}(x+9)$ or Ethan's from the table of values?

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Problem 3169

Tom walks dogs for \ $6/hr and washes cars for \$7.50/hr. He can work max 15 hrs and needs at least \$75. Find inequalities for$ d $and$ c$.

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Problem 3170

Find a number $x$ such that $6x + 2 = 2 \times 19$ .

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Problem 3171

Amy uses 48-cent and 7-cent stamps for a \$2.07 gift card. How many of each stamp did she use?

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Problem 3172

Caitlyn uses 40-cent and 7-cent stamps to pay \$1.76. How many of each stamp did she use?

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Problem 3173

Identify the equation pair that cannot be solved as a system: 1) $2x + 3y = 4$ and $y = 4 - x$ 2) $z = 3y + 4$ and $z = -y$ 3) $z = 3x - 2$ and $y = 2z - 3$ .

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Problem 3174

Check if $x=3$ and $y=2$ satisfy the equations $y=x-1$ and $2x=3y$ .

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Problem 3175

Find $x$ where $y=2$ and $y=2x-3$ .

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Problem 3176

Find the value of $y$ from the equations $-2y = 4x - 4$ and $7x = -4y + 10$ .

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Problem 3177

Solve: 12 - 2x + 3 = 7. Choose the correct value for x: a. $x=-17$ , b. $x=4$ , c. $x=-14$ , d. $x=16$ .

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Problem 3178

In a field with 31 heads and 86 feet, how many horses and geese are there? Let horses = x and geese = y. Solve: $x + y = 31$ and $4x + 2y = 86$ .

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Problem 3179

Find the slope of the line through points $(7,9)$ and $(5,7)$ using the slope formula. What is the slope?

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Problem 3180

Find the slope of the line through the points (-2,-10) and (7,-3). A. $m=\square$ B. Slope is undefined.

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Problem 3181

Amy uses 47-cent and 8-cent stamps for \$2.13 postage. How many of each stamp did she use?

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Problem 3182

Find a number $x$ such that $8x + 4 = 2 \times 22$ .

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Problem 3183

In a biology course with a 4:3 boy-to-girl ratio and 371 students, how many boys are there?

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Problem 3184

Find values of $b, c, l, p, s$ (1 to 5) given: $b + c$ , $l + p$ , $l + b = s$ , $s + p + c - b - l - p = p + b + l$ .

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Problem 3185

Solve the equation: $\frac{3}{4}(2 x+5)=14$ .

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Problem 3186

Kate sold 42 books for \$441. Coupon books are \$12 each, recipe books are \$7.50. How many coupon books did she sell?

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Problem 3187

The sum of 5 consecutive integers is 1115. Write the equation and find the largest integer.

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Problem 3188

Find the equation for the sum of 3 consecutive odd integers equal to -33 and the ratio of the largest to smallest. $-2-$

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Problem 3189

Solve for $r$ in the equation $B=\frac{1}{2} h(r+k)$ .

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Problem 3190

Find the year when the federal debt $y = 1.18x + 1.71$ reaches \ $35.93 trillion, where$ x$ is years after 2000.

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Problem 3191

Ed Moura has \$55000 in stocks at 9\%. How much more should he invest at 2\% for an average return of 3\%?

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Problem 3192

Find the year when income $y$ reaches 728.34 billion using the equation $112.4(x-2010)=7y-3749.58$ . What is $y$ ?

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Problem 3193

Solve the equation $-2(-2 x+3)-x-1=I-28$ .

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Problem 3194

Find the inverse of the function $f(x)=8x-4$ . Choose the correct option for $f^{-1}(x)$ .

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Problem 3195

Samantha's hall holds 144 people max, with tables for 8. Write an inequality for the number of tables, $t$ .

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Problem 3196

Samantha's hall can hold 144 people with tables for 8.
A) Form an inequality. B) Explain each part. C) Max tables she can use? Justify with the inequality.

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Problem 3197

Solve the equations: a. $5x - 2 = 8$ , b. $4x - 3 = 2x + 9$ , c. $6x + 3 = 2x + 8$ .

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Problem 3198

Find the intersection of the equations $y = \frac{1}{2}x + 1$ and $y = x - 1$ .

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Problem 3199

Find the intersection point of the equations: $y = 3x - 2$ and $y = -x + 6$ .

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Problem 3200

Find the solution for the system: $y = x - 3$ and $x = 4$ .

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Linearity

Problem 3101

Problem 3102

Problem 3103

Problem 3104

Problem 3105

Problem 3106

Problem 3107

A car and a motorcycle start from the same point and travel in opposite directions.Given that the car travels at 50 km/h50 \mathrm{~km} / \mathrm{h}50 km/h, while the motorcycle travels at 40 km/h40 \mathrm{~km} / \mathrm{h}40 km/h, after how many hours will they be 315 km apart?

Problem 3108

3 Tegn en graf, der viser sammenhengen mellem temperaturer målt i grader celsius og grader fahrenheit.

Problem 3109

{−1x+2y=−2−4x−5y=−47\left\{\begin{array}{l} -1 x+2 y=-2 \\ -4 x-5 y=-47 \end{array}\right.{−1x+2y=−2−4x−5y=−47​True or False: The point (8,3)(8,3)(8,3) is a solution of the system. True False

Problem 3110

Problem 3111

{x+y=−48y=5x\left\{\begin{array}{l} x+y=-48 \\ y=5 x \end{array}\right.{x+y=−48y=5x​Answer: (x,y)=(x, y)=(x,y)= □\square□ , □\square□ ) Preview xxx : Preview yyy :

Problem 3112

Given the points (−1,−5)(-1,-5)(−1,−5) and (−4,16)(-4,16)(−4,16), answer the questions:1. Slope is: −7✓-7 \checkmark−7✓2. Point-Slope Form is: −7(x+5)=y+1∨-7(x+5)=y+1 \vee−7(x+5)=y+1∨ (Use the first point)3. Slope-Intercept Form is: □\square□

Problem 3113

Cory has a gym membership that can be represented by the inequality x12≤7\frac{x}{12} \leq 712x​≤7.Cory has a choose your answer... □\square□ membership that costs xxx dollars. He pays choose your answer... □\square□ each month.

Problem 3114

3x=−2x=\begin{array}{r}3 x=-2 \\ x=\end{array}3x=−2x=​

Problem 3115

Problem 3116

Find the xxx-intercept and yyy-intercept of the line. x−2y=−6x-2 y=-6x−2y=−6 x -intercept: □\square□ y -intercept: □\square□

Problem 3117

Problem 3118

Problem 3119

Problem 3120

VideoFind the yyy-intercept of the line y=−3x−9y=-3 x-9y=−3x−9. Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair. □\square□ Submit

Problem 3121

−18.4s≤−19.74−18.6s-18.4 s \leq-19.74-18.6 s−18.4s≤−19.74−18.6sWrite your answer with s first, followed by an inequality symbol. □\square□ Submit

Problem 3122

VideoFind the yyy-intercept of the line y=−87x−3y=-\frac{8}{7} x-3y=−78​x−3 Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair. □\square□ Submit Work it out

Problem 3123

Problem 3124

Problem 3125

Solve for mmm m+13<−214m+\frac{1}{3}<-2 \frac{1}{4}m+31​<−241​ m>−2712m>-2 \frac{7}{12}m>−2127​ m>−11112m>-1 \frac{11}{12}m>−11211​ m<−11112m<-1 \frac{11}{12}m<−11211​ m<−2712m<-2 \frac{7}{12}m<−2127​

Problem 3126

Solve for xxx. x+(−1.8)=−5.37x+(-1.8)=-5.37x+(−1.8)=−5.37Enter your answer as a decimal in the box. x=x=x=

Problem 3127

Question Watch Video Show ExamplesFind the x - and y -intercepts of the graph of 3x−y=373 x-y=373x−y=37. State each answer as an integer or an improper fraction in simplest form.Answer Attempt 1 out of 2

Problem 3128

Problem 3129

What is the equation of the line that passes through the point (−6,−8)(-6,-8)(−6,−8) and has a slope of 12\frac{1}{2}21​ ?Answer Attempt 1 out of 2

Problem 3130

Graph this line using intercepts: 10x+80y=−80010 x+80 y=-80010x+80y=−800Click to select points on the graph.

Problem 3131

For the relation: y=2x−4y=2 x-4y=2x−4, sketch the graph of the relation and its inverse, then write the equation for the inverse.Clear All Draw: □\square□Inverse: y=y=y= □\square□

Problem 3132

A graph is shown below:Which of the following inequalities is best represented by this graph? (1 point) 1) 5x+y≤25 x+y \leq 25x+y≤2 2) 5x+y≥25 x+y \geq 25x+y≥2 3) 5x−y≤25 x-y \leq 25x−y≤2 4) 5x−y≥25 x-y \geq 25x−y≥2

Problem 3133

You can afford to spend at most 80 dollars per month on a video game plan. If your video game plan costs 20 dollars per month, plus 4 dollars per game downloaded how many games can you afford to download?You can afford to download Select an answerv □\square□ games.

Problem 3134

Problem 3135

Problem 3136

Problem 3137

Problem 3138

Solve the inequality. −310y≤12-\frac{3}{10} y \leq 12−103​y≤12The solution set is {y∣\{y \mid{y∣ □\square□ \}.

Problem 3139

Problem 3140

Find two numbers aaa and bbb whose sum a+ba+ba+b is -4 and whose difference a−ba-ba−b is -2 . Your answer is a=a=a= b=b=b= □\square□ □\square□

Problem 3141

Graph the inequality. y≥x−3y \geq x-3y≥x−3

Problem 3142

Problem 3143

y−12=89y−12+□=89+12y=□\begin{aligned} y-12 & =89 \\ y-12+\square & =89+12 \\ y & =\square\end{aligned}y−12y−12+□y​=89=89+12=□​

Problem 3144

20=y+1220=y+1220=y+12

Problem 3145

Problem 3146

A man has 14 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 245 cents, how many dimes and how many quarters does he have? Your answer is number of dimes equals □\square□ number of quarters equals □\square□ Question Help: Video Submit Question

Problem 3147

Problem 3148

Problem 3149

Problem 3150

Problem 3151

Simplify the expression (−11x+31y)−2(−x+5y)(-11 x+31 y)-2(-x+5 y)(−11x+31y)−2(−x+5y) and find its equivalent form. Choose from: A) −13x+21y-13 x+21 y−13x+21y, B) −13x+36y-13 x+36 y−13x+36y, C) −9x+21y-9 x+21 y−9x+21y, D) −9x+36y-9 x+36 y−9x+36y.

Problem 3152

Completely factor the expression: 21x−621x - 621x−6.

A car and a motorcycle start from the same point and travel in opposite directions.
Given that the car travels at $50 \mathrm{~km} / \mathrm{h}$ , while the motorcycle travels at $40 \mathrm{~km} / \mathrm{h}$ , after how many hours will they be 315 km apart?

$\left\{\begin{array}{l} -1 x+2 y=-2 \\ -4 x-5 y=-47 \end{array}\right.$
True or False: The point $(8,3)$ is a solution of the system. True False

$\left\{\begin{array}{l} x+y=-48 \\ y=5 x \end{array}\right.$
Answer: $(x, y)=$ $\square$ , $\square$ ) Preview $x$ : Preview $y$ :

Given the points $(-1,-5)$ and $(-4,16)$ , answer the questions:
1. Slope is: $-7 \checkmark$
2. Point-Slope Form is: $-7(x+5)=y+1 \vee$ (Use the first point)
3. Slope-Intercept Form is: $\square$

Cory has a gym membership that can be represented by the inequality $\frac{x}{12} \leq 7$ .
Cory has a choose your answer... $\square$ membership that costs $x$ dollars. He pays choose your answer... $\square$ each month.

$\begin{array}{r}3 x=-2 \\ x=\end{array}$

Find the $x$ -intercept and $y$ -intercept of the line. $x-2 y=-6$ x -intercept: $\square$ y -intercept: $\square$

Video
Find the $y$ -intercept of the line $y=-3 x-9$ . Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair. $\square$ Submit

$-18.4 s \leq-19.74-18.6 s$
Write your answer with s first, followed by an inequality symbol. $\square$ Submit

Video
Find the $y$ -intercept of the line $y=-\frac{8}{7} x-3$ Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair. $\square$ Submit Work it out

Solve for $m$ $m+\frac{1}{3}<-2 \frac{1}{4}$ $m>-2 \frac{7}{12}$ $m>-1 \frac{11}{12}$ $m<-1 \frac{11}{12}$ $m<-2 \frac{7}{12}$

Solve for $x$ . $x+(-1.8)=-5.37$
Enter your answer as a decimal in the box. $x=$

Question Watch Video Show Examples
Find the x - and y -intercepts of the graph of $3 x-y=37$ . State each answer as an integer or an improper fraction in simplest form.
Answer Attempt 1 out of 2

What is the equation of the line that passes through the point $(-6,-8)$ and has a slope of $\frac{1}{2}$ ?
Answer Attempt 1 out of 2

Graph this line using intercepts: $10 x+80 y=-800$
Click to select points on the graph.

For the relation: $y=2 x-4$ , sketch the graph of the relation and its inverse, then write the equation for the inverse.
Clear All Draw: $\square$
Inverse: $y=$ $\square$

A graph is shown below:
Which of the following inequalities is best represented by this graph? (1 point) 1) $5 x+y \leq 2$ 2) $5 x+y \geq 2$ 3) $5 x-y \leq 2$ 4) $5 x-y \geq 2$

You can afford to spend at most 80 dollars per month on a video game plan. If your video game plan costs 20 dollars per month, plus 4 dollars per game downloaded how many games can you afford to download?
You can afford to download Select an answerv $\square$ games.

Solve the inequality. $-\frac{3}{10} y \leq 12$
The solution set is $\{y \mid$ $\square$ \}.

Find two numbers $a$ and $b$ whose sum $a+b$ is -4 and whose difference $a-b$ is -2 . Your answer is $a=$ $b=$ $\square$ $\square$

Graph the inequality. $y \geq x-3$

$\begin{aligned} y-12 & =89 \\ y-12+\square & =89+12 \\ y & =\square\end{aligned}$

$20=y+12$

A man has 14 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 245 cents, how many dimes and how many quarters does he have? Your answer is number of dimes equals $\square$ number of quarters equals $\square$ Question Help: Video Submit Question

Simplify the expression $(-11 x+31 y)-2(-x+5 y)$ and find its equivalent form. Choose from: A) $-13 x+21 y$ , B) $-13 x+36 y$ , C) $-9 x+21 y$ , D) $-9 x+36 y$ .

Completely factor the expression: $21x - 6$ .

Find the expression for $B - 2C$ in standard form, given $B = -t - 1$ and $C = 3t - 2$ .

Stacey earns \ $15 weekly plus \$0.50 per customer. What equation finds$ x$, customers needed for \$25?

Which equation fits the points (-2,-1), (-1,1), (0,3), (1,5), (2,7)? Options: $y=x+2$ , $y=x+4$ , $y=2x+3$ , $y=3x+1$ .

Evaluate the expression for $z=-1$ : $74z + 25 - 76z$ .

Evaluate the expression for $q=-5$ and $r=-3$ : $q r + 19 q =$

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

Solve for $x$ in the equation $x - \frac{5}{4} = \frac{2}{3}$ .

Evaluate $h j - j - k$ for $h=4$ , $j=13$ , and $k=-34$ .

Solve the inequality $2y + 6 > 20$ and identify the corresponding graph.

Solve the inequality $2y + 6 > 20$ and identify the correct graph for the solution.

Find the standard form of the line through points $(-5,-1)$ and $(10,-7)$ given the point-slope form. Options: $2 x-5 y=-15$ , $2 x-5 y=-17$ , $2 x+5 y=-15$ , $2 x+5 y=-17$ .

Find the value of $b$ in the line equation $y = mx + b$ for points $C(1,3)$ and $D(4,-3)$ .

Find the equation of line $C D$ that passes through points $(0,2)$ and $(4,6)$ .

Who has a steeper slope: Marty's function $v+3=\frac{1}{3}(x+9)$ or Ethan's from the table of values?

Find a number $x$ such that $6x + 2 = 2 \times 19$ .

Identify the equation pair that cannot be solved as a system: 1) $2x + 3y = 4$ and $y = 4 - x$ 2) $z = 3y + 4$ and $z = -y$ 3) $z = 3x - 2$ and $y = 2z - 3$ .

Check if $x=3$ and $y=2$ satisfy the equations $y=x-1$ and $2x=3y$ .