Linearity

Problem 2101

Solve the compound inequality. $2 y-2>-4 \text { or } 3 y+3 \leq-15$
Write the solution in interval notation. If there is no solution, enter $\varnothing$ .

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Problem 2102

Write an equation of the line containing the given point and parallel to the given line. $(5,6), x+7 y=5$
The equation of the line is $y=$ $\square$ (Simplify your answer. Use integers or fractions for any numbers in the expression.)

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Problem 2103

Which equation describes the same line as $y-5=-2(x+4)$ ? A. $y=-2 x-3$ B. $y=-2 x-2$ C. $y=-2 x+9$ D. $y=-2 x-8$

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Problem 2104

4. $\frac{x}{9}=3$
5. $\frac{4}{5} z=16$

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Problem 2105

The slope of the line below is $-\frac{8}{7}$ . Write a point-slope equation of the line using the coordinates of the labeled point.

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Problem 2106

Match each system on the left with the number of solutions that it has on the right. Answer options on the right may be used more than once. $\begin{array}{l} x=y-3 \\ 2 x-2 y=-6 \\ 5 x+2 y=-7 \\ 10 x+4 y=-14 \\ 3 y-6 x=3 \\ 4 x-3 y=-2 \\ 3 y-6 x=-3 \\ 4 x-2 y=-2 \end{array}$ no solution one solution infinite number of solutions

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Problem 2107

What is an equation of a linear function with a slope of -5 and $y$ -intercept of $7 ?$ $y=\frac{-5}{7} x$ $y=7 x-5$ $y=-5 x+7$

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Problem 2108

17. A rescue helicopter lifts two people using a winch and a rescue ring. a. The winch is capable of exerting a 2000-N force. What is the maximum mass it can lift? b. If the winch applies a force of 1200 N , what is the rescuer and victim's acceleration? Draw a freebody diagram for the people being lifted. c. Using the acceleration from part b, how long does it take to pull the people up to the helicopter? Assume the people are initially at rest.
18. A $873-\mathrm{kg}$ dragster, starting from rest, attains a speed of $26.3 \mathrm{~m} / \mathrm{s}$ in 0.59 s . a. Find the average acceleration of the dragster. b. What is the magnitude of the average net force on the dragster during this time? c. What horizontal force does the seat exert on the driver if the driver has a mass of 68 kg ?

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Problem 2109

$\left\{\begin{array}{l}7 x+3 y \leq-24 \\ x+3 y \leq-6\end{array}\right.$

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Problem 2110

Think About the Process What is the first step in factoring the linear expression below? Factor the linear express $6 x+12 y+26$
Which step is the first step in factoring the linear expression? A. Identify the GCF.
B. Write each term of the expression using the GCF as a factor.
C. Use the Distributive Property to factor out the GCF. D. Add the numerical coefficients.

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Problem 2111

$\left\{\begin{array}{l}x-y>3 \\ x \geq 6\end{array}\right.$

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Problem 2112

Work out the value of $x$ and the value of $y$ in the simultaneous equations below. $\begin{array}{l} 3 x+5 y=11 \\ 2 x+3 y=7 \end{array}$

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Problem 2113

Rewrite the following equation in standard form. $y=4 x-4$
Hint: The standard form of a linear equation is $\mathrm{Ax}+\mathrm{By}=\mathrm{C}$ where A and B are not both zero, and A, B, and C are integers whose GCF is 1 . $\square$ Submit

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Problem 2114

Rewrite the following equation in standard form. $y=-2 x-6$ $\square$ Submit

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Problem 2115

Rewrite the following equation in standard form. $y=6 x-8$ $\square$ Submit

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Problem 2116

Rewrite the following equation in standard form. $-5 x+10 y=1$ $\square$ Submit

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Problem 2117

Rewrite the following equation in standard form. $\frac{1}{5} x-\frac{7}{5}=\frac{9}{4} y$ $\square$ Submit

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Problem 2118

Rewrite the following equation in standard form. $y=9 x-10$ $\square$ Submit

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Problem 2119

Rewrite the following equation in standard form. $-2 x-8 y-5=0$ $\square$ Submit

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Problem 2120

$\frac{2 x+4}{6}-2=4$

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Problem 2121

A line that includes the point $(7,2)$ has a slope of $\frac{10}{9}$ . What is its equation in point-slope form?
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions. $\square$ 믐 (泣) Submit

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Problem 2122

The points $(5,-3)$ and $(-7,-6)$ fall on a particular line. What is its equation in point-slope form?
Use one of the specified points in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions. $\square$ Submit

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Problem 2123

A line that includes the point $(9,3)$ has a slope of 3. What is its equation in point-slope form? Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions. $\square$ Submit

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Problem 2124

There is a line that includes the point $(-4,10)$ and has a slope of -3 . What is its equation in point-slope form?
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions. $\square$ 믐 ( $\square$ ) Submit

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Problem 2125

Solve the equation. $3.6 w=2(0.8 w+12)$
Enter the correct answer in the box.
Show Hints $w=$ $\square$

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Problem 2126

Use the orderd pairs in Problems 2 and 3 to graph a line for the function $V=3+2 t$

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Problem 2127

$5 x-(11+17)=4 x-12$ Equation $\# 2$ is will give you solution $8(x+4)=5 x+8$ quation \#3 This will give you solution \#2 $4(x+5)-3=6 x-13 \quad 6(x-9)=4(x-5)$

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Problem 2128

2. $\begin{array}{l}\frac{2}{5} y \frac{+3}{2} x=1 \quad \frac{3}{2} \times \frac{5}{2} \\ \quad \frac{2}{=} y \stackrel{+3}{2} x=1\end{array}$

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Problem 2129

metres above the river. Determine the equation that models the arches. Research shows that for every $\$ 0.10$ increase in the price of batteries, there is a 10 decrease per day. If a store normally sells 600 packs of batteries at $\$ 4.95$ , what is optimum price to sell batteries at?

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Problem 2130

Listen
Solve the system by elimination. $\begin{array}{l} 8 x-5 y=11 \\ 4 x-3 y=5 \end{array}$
The solution is: ( $\square$ , $\square$

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Problem 2131

9. $0.5(s-1)=2+s$ $s=\square$

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Problem 2132

A line passes through the point $(10,-1)$ and has a slope of $-\frac{3}{2}$ Write an equation in slope-intercept form for this line. $\square$

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Problem 2133

4. $y=-0.25 x+2$

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Problem 2134

2. Write the equation of the line with a slope of -3 and goes through the points $(5,-6)$ . The graph is optional, but provided if you prefer to use it.
Equation: $y=-3 x t$ Rises Run 6

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Problem 2135

$\frac{1}{6} x+\frac{3}{5}=1-\frac{3}{10} x$

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Problem 2136

Tell whether $(-2,2)$ is a solution of $x+y>0$ . It $\square$ a solution.

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Problem 2137

I'm sorry, I can't assist with that.

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Problem 2138

Exercises Solve each inequality. Check your solution.
1. $11 y+13 \geq-1$
2. $8 n-10<6-2 n$
3. $\frac{q}{7}+1>-5$
4. $6 n+12<8+8 n$
5. $-12-d>-12+4 d$
6. $5 r-6>8 r-18$

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Problem 2139

$-6 y+18 x=9$

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Problem 2140

1) $x-8>10$

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Problem 2141

$\text{Check if the following vectors are linearly independent in } \mathbb{R}^3:$ $(\mathrm{i}) \quad \begin{bmatrix} 1 \\ 0 \\ 2 \end{bmatrix}, \begin{bmatrix} 0 \\ 1 \\ 3 \end{bmatrix}, \text{ and } \begin{bmatrix} -1 \\ -1 \\ -5 \end{bmatrix}$ $(\mathrm{j}) \quad \begin{bmatrix} 1 \\ 1 \\ 1 \end{bmatrix}, \begin{bmatrix} 2 \\ 1 \\ 0 \end{bmatrix}, \begin{bmatrix} 3 \\ 0 \\ 1 \end{bmatrix}, \text{ and } \begin{bmatrix} 2 \\ 2 \\ 2 \end{bmatrix}$

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Problem 2142

$\begin{array}{c}5 x+2 y=29 \\ 5 x-y=-4 \\ x\end{array}$

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Problem 2143

A line that includes the points $(6, u)$ and $(8,-2)$ has a slope of 4 . What is the value of $u$ ? $u=$
Submit

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Problem 2144

A system of equations is given below. $\left\{\begin{array}{r} x+3 y=3 \\ 4 x-5 y=1 \end{array}\right.$
Identify the constant that can be multiplied by both $\square$ Write the revised system of equations.
$\left\{\begin{array}{l} \{ \\ -5 x-15 y=-15 \\ 4 x-5 y=1 \end{array}\right.$ $\left\{\begin{array}{c}4 x+12 y=12 \\ 4 x-5 y=1\end{array}\right.$ $\left\{\begin{array}{c}-x-3 y=-3 \\ 4 x-5 y=1\end{array}\right.$ $\left\{\begin{array}{l} \left\{\begin{array}{l} \{ \\ -4 x-12 y= \\ 4 x-5 y \\ =1 \end{array}\right. \end{array}\right.$

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Problem 2145

Here is your ordered pair plotted as a point, together with the linear equation $y=x+2$ . (If you can't see your point, maybe you didn't type it correctly, or maybe it's outside the graph window.)
Is your ordered pair correct? How do you know?
Yes No

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Problem 2146

4) $5 x-3 y-15=0$

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Problem 2147

7. One equation in a system is given by $y=-3 x+8$ . Write a second linear equation so that the resulting system has exactly one solution. Explain your reasoning. [Answers will vary]

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Problem 2148

If $a>0$ and $b>0$ , which of the following could be an equation of the line graphed in the $x y$ -plane below? $y=-a x+b$ $y=a x-b$ $y=a b x$ $y=-a x-b$ $y=a x+b$

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Problem 2149

Choose the equivalent expression for the given expression: $2(r+y)$ $3 r y$ $2 r+y$ $2 r+2 y$ $3 r+3 y$

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Problem 2150

A line passes through the point $(10,1)$ and has a slope of $\frac{1}{2}$ . Write an equation in slope-intercept form for this line. $\square$ ～

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Problem 2151

Complete the equation for this model. $\square$ $\square$ $\square$ Submit Work it out Not feeling ready yet? These can help:

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Problem 2152

Which of the following expressions has a coefficient of 10 and a constant of 5 ? $10 x+5$ $10+5$ $10+5 x$ $10-5$

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Problem 2153

Graph this function: $f(x)=\frac{4}{7} x-3$
Click to select points on the graph. Submit

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Problem 2154

Which of the following values are solutions to the inequality $-10 \geq 6 x-4$ ? I. 3 II. 5 III. -1
Answer None I only II only III only I and II I and III II and III I, II and III

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Problem 2155

Solve the following system of linear equations: (1) $2 x+3 y+7 z=13$ (2) $3 x+2 y-5 z=-22$ (3) $5 x+7 y-3 z=-28$

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Problem 2156

9. Hugo earned $\$ 3517.00$ last month as a line chef, including tips. He took home $\$ 525.00$ in tips. If he worked 176 hours in the month, what is his hourly wage?

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Problem 2157

$6 n-4=26$

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Problem 2158

(a) Write an equation to represent the relationship between $W$ and $T$ . $W=10 T$ (b) Choose the correct statement to represent this relationship. The fish tank is being filled with 1 liter of water per 10 minutes. The fish tank is being filled with 1 liter of water per minute. The fish tank is being filled with 10 liters of water per minute. The fish tank is being filled with 20 liters of water per minute.

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Problem 2159

A line passes through the point $(-4,-3)$ and has a slope of $\frac{3}{2}$ . Write an equation in slope-intercept form for this line.

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Problem 2160

Consider the line $y=-\frac{8}{7} x+1$ . Find the equation of the line that is perpendicular to this ine and passes through the point $(7,3)$ . Find the equation of the line that is parallel to this line and passes through the point $(7,3)$ .
Equation of perpendicular line: $\square$
Equation of parallel line: $\square$

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Problem 2161

Graph the solution to this inequality on the number line. $x+5<-2$
First, select the correct ray. Then, select the location of the endpoint to plot the inequality on the number line.

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Problem 2162

A radio station is giving away free cars to promote an upcoming concert. The station can spend up to $\$ 48,000$ to buy the cars. If each car costs $\$ 12,000$ , how many cars will the radio station be able to give away? $\square$ cars Submit Work it out

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Problem 2163

23. $3(x+7)=$

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Problem 2164

23. $3(x+7)=$

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Problem 2165

-/2 Points] DETAILS SCOLALG7 5.1.064.
A fruit stand sells two varieties of strawberries: standard and deluxe. A box of standard strawberries sells for $\$ 5$ , and a b of deluxe strawberries sells for $\$ 10$ . In one day the stand sold 110 boxes of strawberries for a total of $\$ 750$ . How many $b$ of each type were sold? standard strawberries boxes deluxe strawberries boxes Need Help? Road le

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Problem 2166

of eache Mrs. Singh bought 9 folders and 9 notebooks. The cos expressions and then find Each noteboo $\qquad$ cost \ $4. Write two equivalent$ \qquad$ Be Precise five friends bought admission a box lunch. The cost of unctreost

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Problem 2167

A7. Un stade est rempli à $75 \%$ avec 12400 spectateurs. Combien a-t-il de places?

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Problem 2168

1) $7(2+7 n)=259$

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Problem 2169

$-3 w+-2 w$

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Problem 2170

$-2 q-9 q+-9 q$

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Problem 2171

Exercises Write the equation modeled by the algebra tiles. 1.
2. $\square$ Use algebra tiles to model and solve each equation.
3. $x-3=2$
4. $x-4=7$
5. $x+1=5$
6. $x+4=7$
7. $1+x=-3$
8. $5+x=-3$
9. $x-4=-3$
10. $-4+x=-8$

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Problem 2172

7. Match each equation with the slope $m$ and $y$ -intercept of its graph $(\mathrm{y}=\mathrm{mx}+\mathrm{b})$ A. $m=-6, y-$ int $=(0,12)$
1. $5 x-6 y=30$ B. $m=-6, y-i n t=(0,5)$
2. $y=5-6 x$ C. $m=-\frac{5}{6}, y-$ int $=(0,1)$
3. $y=\frac{5}{6} x+1$ D. $m=\frac{5}{6}, y-$ int $=(0,1)$
4. $5 x-6 y=6$ E. $\quad m=\frac{5}{6}, y-$ int $=(0,-1)$
5. $5 x+6 y=6$
6. $6 x+y=12$ F. $\quad m=\frac{5}{6}, y-i n t=(0,-5)$

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Problem 2173

Question Watch Video
Solve the system by substitution. $\begin{aligned} -7 x-5 y & =36 \\ x & =2 y+3 \end{aligned}$
Answer Attempt 1 out of 3 $\square$ $\square$ Submit Answer

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Problem 2174

8. Solve each system of equations. a. $\begin{array}{l} 2 x+3 y=4 \\ 2 x=7 y+24 \end{array}$

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Problem 2175

(5.) The sum of two numbers is 54 . Let $x$ represent the smaller number, and let $x+2$ represent the larger number. Write and solve an equation to determine the numbers. Check your solution.

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Problem 2176

Solve the following system of equations graphically and check: $\begin{array}{l} 3 x+y=3 \\ y=2 x-7 \end{array}$

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Problem 2177

Solve the system by substitution. $\begin{aligned} -y & =x \\ -3 x+3 y & =-36 \end{aligned}$

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Problem 2178

Solve the following system of equations for $x$ : $\begin{array}{r} 3 x+2 y=21 \\ 2 y=18 \end{array}$

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Problem 2179

Listen
Write an equation of the line that passes through $(-6,0)$ and $(0,-24)$ .

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Problem 2180

$0.5(2+x)=1.5$

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Problem 2181

$0.5(2+x)=1.5$

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Problem 2182

Solve for $g$ in the equation $63 = g + 7$ .

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Problem 2183

Find the linear function $y=f(x)=a x+b$ using points (-1, 5), (1, 9), (3, 13), (5, 17).

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Problem 2184

Find the value of the function $f(x)=-2 x-3$ at $x=-3$ . What is $f(-3)$ ?

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Problem 2185

Find $f(-4)$ for the function $f(x)=-x-1$ .

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Problem 2186

Find the value of the function $f(x)=-3 x+4$ at $x=4$ . What is $f(4)$ ?

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Problem 2187

Graph the function $f(x)=x+5$ .

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Problem 2188

Graph the function $f(x)=x+5$ .

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Problem 2189

Evaluate $f(x)=-2x-3$ at $x=-3$ . What is $f(-3)$ ?

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Problem 2190

Graph the function $f(x)=x+5$ . Identify the points A, B, C, and D on the graph.

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Problem 2191

Solve for $x$ in the equation $13 = 5y$ . What is the value of $x$ ?

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Problem 2192

Determine $x$ , $y$ , $m$ (slope), and $b$ (y-intercept) for the equation $y=2x+2$ .

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Problem 2193

Identify the graph for the equation $y=2x+2$ .

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Problem 2194

Find the $y$ -intercept of the equation $2x - 5y = 35$ .

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Problem 2195

Find the slope of the equation: $-6x - 2y = 9$ .

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Problem 2196

Convert the equation -2x + 8y = 2 to slope-intercept form (y = mx + b).

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Problem 2197

Para magnitudes $A$ y $B$ donde $A I.P. \sqrt{B}$ , si $A-25$ cuadruplica $B$ , ¿cuál es $A$ ? a. 42 b. 45 c. 50 d. 60 e. 72
Cinco obreros hacen 99 m en 16 días a 9 horas. ¿Cuántos días tardan 9 obreros a 7 horas para 693 m? a. 65 b. 68 c. 72 d. 75 e. 80

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Problem 2198

Divide 74 into two parts where $s$ times one part and 11 times the other equal 454. Find the parts: (a) 14,60 (b) 60,14 (c) 30,44 (d) None.

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Problem 2199

Rs. 162 is split among $A$ , $B$ , and $C$ with half of $A$ 's, one-third of $B$ 's, and one-fourth of $C$ 's shares equal. Find the shares. (a) $36,54,72$ (b) $72,54,36$ (c) $54,36,72$ (d) $72,36,54$ (e) None of these

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Problem 2200

Divide 74 into two parts where $5x + 11y = 454$ . Find the correct parts: (a) 14,60 (b) 60,14 (c) 30,44 (d) None.

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Linearity

Problem 2101

Solve the compound inequality. 2y−2>−4 or 3y+3≤−152 y-2>-4 \text { or } 3 y+3 \leq-152y−2>−4 or 3y+3≤−15Write the solution in interval notation. If there is no solution, enter ∅\varnothing∅.

Problem 2102

Write an equation of the line containing the given point and parallel to the given line. (5,6),x+7y=5(5,6), x+7 y=5(5,6),x+7y=5The equation of the line is y=y=y= □\square□ (Simplify your answer. Use integers or fractions for any numbers in the expression.)

Problem 2103

Which equation describes the same line as y−5=−2(x+4)y-5=-2(x+4)y−5=−2(x+4) ? A. y=−2x−3y=-2 x-3y=−2x−3 B. y=−2x−2y=-2 x-2y=−2x−2 C. y=−2x+9y=-2 x+9y=−2x+9 D. y=−2x−8y=-2 x-8y=−2x−8

Problem 2104

4. x9=3\frac{x}{9}=39x​=35. 45z=16\frac{4}{5} z=1654​z=16

Problem 2105

The slope of the line below is −87-\frac{8}{7}−78​. Write a point-slope equation of the line using the coordinates of the labeled point.

Problem 2106

Problem 2107

What is an equation of a linear function with a slope of -5 and yyy-intercept of 7?7 ?7? y=−57xy=\frac{-5}{7} xy=7−5​x y=7x−5y=7 x-5y=7x−5 y=−5x+7y=-5 x+7y=−5x+7

Problem 2108

Problem 2109

{7x+3y≤−24x+3y≤−6\left\{\begin{array}{l}7 x+3 y \leq-24 \\ x+3 y \leq-6\end{array}\right.{7x+3y≤−24x+3y≤−6​

Problem 2110

Problem 2111

{x−y>3x≥6\left\{\begin{array}{l}x-y>3 \\ x \geq 6\end{array}\right.{x−y>3x≥6​

Problem 2112

Work out the value of xxx and the value of yyy in the simultaneous equations below. 3x+5y=112x+3y=7\begin{array}{l} 3 x+5 y=11 \\ 2 x+3 y=7 \end{array}3x+5y=112x+3y=7​

Problem 2113

Rewrite the following equation in standard form. y=4x−4y=4 x-4y=4x−4Hint: The standard form of a linear equation is Ax+By=C\mathrm{Ax}+\mathrm{By}=\mathrm{C}Ax+By=C where A and B are not both zero, and A, B, and C are integers whose GCF is 1 . □\square□ Submit

Problem 2114

Rewrite the following equation in standard form. y=−2x−6y=-2 x-6y=−2x−6 □\square□ Submit

Problem 2115

Rewrite the following equation in standard form. y=6x−8y=6 x-8y=6x−8 □\square□ Submit

Problem 2116

Rewrite the following equation in standard form. −5x+10y=1-5 x+10 y=1−5x+10y=1 □\square□ Submit

Problem 2117

Rewrite the following equation in standard form. 15x−75=94y\frac{1}{5} x-\frac{7}{5}=\frac{9}{4} y51​x−57​=49​y □\square□ Submit

Problem 2118

Rewrite the following equation in standard form. y=9x−10y=9 x-10y=9x−10 □\square□ Submit

Problem 2119

Rewrite the following equation in standard form. −2x−8y−5=0-2 x-8 y-5=0−2x−8y−5=0 □\square□ Submit

Problem 2120

2x+46−2=4\frac{2 x+4}{6}-2=462x+4​−2=4

Problem 2121

A line that includes the point (7,2)(7,2)(7,2) has a slope of 109\frac{10}{9}910​. What is its equation in point-slope form?Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions. □\square□ 믐 (泣) Submit

Problem 2122

Problem 2123

A line that includes the point (9,3)(9,3)(9,3) has a slope of 3. What is its equation in point-slope form? Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions. □\square□ Submit

Problem 2124

Problem 2125

Solve the equation. 3.6w=2(0.8w+12)3.6 w=2(0.8 w+12)3.6w=2(0.8w+12)Enter the correct answer in the box.Show Hints w=w=w= □\square□

Problem 2126

Use the orderd pairs in Problems 2 and 3 to graph a line for the function V=3+2tV=3+2 tV=3+2t

Problem 2127

5x−(11+17)=4x−125 x-(11+17)=4 x-125x−(11+17)=4x−12 Equation #2\# 2#2 is will give you solution 8(x+4)=5x+88(x+4)=5 x+88(x+4)=5x+8 quation \#3 This will give you solution \#2 4(x+5)−3=6x−136(x−9)=4(x−5)4(x+5)-3=6 x-13 \quad 6(x-9)=4(x-5)4(x+5)−3=6x−136(x−9)=4(x−5)

Problem 2128

2. 25y+32x=132×522=y2+3x=1\begin{array}{l}\frac{2}{5} y \frac{+3}{2} x=1 \quad \frac{3}{2} \times \frac{5}{2} \\ \quad \frac{2}{=} y \stackrel{+3}{2} x=1\end{array}52​y2+3​x=123​×25​=2​y2+3​x=1​

Problem 2129

Problem 2130

ListenSolve the system by elimination. 8x−5y=114x−3y=5\begin{array}{l} 8 x-5 y=11 \\ 4 x-3 y=5 \end{array}8x−5y=114x−3y=5​The solution is: ( □\square□ , □\square□

Problem 2131

9. 0.5(s−1)=2+s0.5(s-1)=2+s0.5(s−1)=2+s s=□s=\squares=□

Problem 2132

A line passes through the point (10,−1)(10,-1)(10,−1) and has a slope of −32-\frac{3}{2}−23​ Write an equation in slope-intercept form for this line. □\square□

Problem 2133

4. y=−0.25x+2y=-0.25 x+2y=−0.25x+2

Problem 2134

2. Write the equation of the line with a slope of -3 and goes through the points (5,−6)(5,-6)(5,−6). The graph is optional, but provided if you prefer to use it.Equation: y=−3xty=-3 x ty=−3xt Rises Run 6

Problem 2135

16x+35=1−310x\frac{1}{6} x+\frac{3}{5}=1-\frac{3}{10} x61​x+53​=1−103​x

Problem 2136

Tell whether (−2,2)(-2,2)(−2,2) is a solution of x+y>0x+y>0x+y>0. It □\square□ a solution.

Problem 2137

I'm sorry, I can't assist with that.

Problem 2138

Problem 2139

−6y+18x=9-6 y+18 x=9−6y+18x=9

Problem 2140

1) x−8>10x-8>10x−8>10

Problem 2141

Problem 2142

5x+2y=295x−y=−4x\begin{array}{c}5 x+2 y=29 \\ 5 x-y=-4 \\ x\end{array}5x+2y=295x−y=−4x​

Problem 2143

A line that includes the points (6,u)(6, u)(6,u) and (8,−2)(8,-2)(8,−2) has a slope of 4 . What is the value of uuu ? u=u=u=Submit

Problem 2144

Solve the compound inequality. $2 y-2>-4 \text { or } 3 y+3 \leq-15$
Write the solution in interval notation. If there is no solution, enter $\varnothing$ .

Write an equation of the line containing the given point and parallel to the given line. $(5,6), x+7 y=5$
The equation of the line is $y=$ $\square$ (Simplify your answer. Use integers or fractions for any numbers in the expression.)

Which equation describes the same line as $y-5=-2(x+4)$ ? A. $y=-2 x-3$ B. $y=-2 x-2$ C. $y=-2 x+9$ D. $y=-2 x-8$

4. $\frac{x}{9}=3$
5. $\frac{4}{5} z=16$

The slope of the line below is $-\frac{8}{7}$ . Write a point-slope equation of the line using the coordinates of the labeled point.

What is an equation of a linear function with a slope of -5 and $y$ -intercept of $7 ?$ $y=\frac{-5}{7} x$ $y=7 x-5$ $y=-5 x+7$

$\left\{\begin{array}{l}7 x+3 y \leq-24 \\ x+3 y \leq-6\end{array}\right.$

$\left\{\begin{array}{l}x-y>3 \\ x \geq 6\end{array}\right.$

Work out the value of $x$ and the value of $y$ in the simultaneous equations below. $\begin{array}{l} 3 x+5 y=11 \\ 2 x+3 y=7 \end{array}$

Rewrite the following equation in standard form. $y=4 x-4$
Hint: The standard form of a linear equation is $\mathrm{Ax}+\mathrm{By}=\mathrm{C}$ where A and B are not both zero, and A, B, and C are integers whose GCF is 1 . $\square$ Submit

Rewrite the following equation in standard form. $y=-2 x-6$ $\square$ Submit

Rewrite the following equation in standard form. $y=6 x-8$ $\square$ Submit

Rewrite the following equation in standard form. $-5 x+10 y=1$ $\square$ Submit

Rewrite the following equation in standard form. $\frac{1}{5} x-\frac{7}{5}=\frac{9}{4} y$ $\square$ Submit

Rewrite the following equation in standard form. $y=9 x-10$ $\square$ Submit

Rewrite the following equation in standard form. $-2 x-8 y-5=0$ $\square$ Submit

$\frac{2 x+4}{6}-2=4$

A line that includes the point $(7,2)$ has a slope of $\frac{10}{9}$ . What is its equation in point-slope form?
Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions. $\square$ 믐 (泣) Submit

A line that includes the point $(9,3)$ has a slope of 3. What is its equation in point-slope form? Use the specified point in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions. $\square$ Submit

Solve the equation. $3.6 w=2(0.8 w+12)$
Enter the correct answer in the box.
Show Hints $w=$ $\square$

Use the orderd pairs in Problems 2 and 3 to graph a line for the function $V=3+2 t$

$5 x-(11+17)=4 x-12$ Equation $\# 2$ is will give you solution $8(x+4)=5 x+8$ quation \#3 This will give you solution \#2 $4(x+5)-3=6 x-13 \quad 6(x-9)=4(x-5)$

2. $\begin{array}{l}\frac{2}{5} y \frac{+3}{2} x=1 \quad \frac{3}{2} \times \frac{5}{2} \\ \quad \frac{2}{=} y \stackrel{+3}{2} x=1\end{array}$

Listen
Solve the system by elimination. $\begin{array}{l} 8 x-5 y=11 \\ 4 x-3 y=5 \end{array}$
The solution is: ( $\square$ , $\square$

9. $0.5(s-1)=2+s$ $s=\square$

A line passes through the point $(10,-1)$ and has a slope of $-\frac{3}{2}$ Write an equation in slope-intercept form for this line. $\square$

4. $y=-0.25 x+2$

2. Write the equation of the line with a slope of -3 and goes through the points $(5,-6)$ . The graph is optional, but provided if you prefer to use it.
Equation: $y=-3 x t$ Rises Run 6

$\frac{1}{6} x+\frac{3}{5}=1-\frac{3}{10} x$

Tell whether $(-2,2)$ is a solution of $x+y>0$ . It $\square$ a solution.

$-6 y+18 x=9$

1) $x-8>10$

$\begin{array}{c}5 x+2 y=29 \\ 5 x-y=-4 \\ x\end{array}$

A line that includes the points $(6, u)$ and $(8,-2)$ has a slope of 4 . What is the value of $u$ ? $u=$
Submit

Here is your ordered pair plotted as a point, together with the linear equation $y=x+2$ . (If you can't see your point, maybe you didn't type it correctly, or maybe it's outside the graph window.)
Is your ordered pair correct? How do you know?
Yes No

4) $5 x-3 y-15=0$

7. One equation in a system is given by $y=-3 x+8$ . Write a second linear equation so that the resulting system has exactly one solution. Explain your reasoning. [Answers will vary]

If $a>0$ and $b>0$ , which of the following could be an equation of the line graphed in the $x y$ -plane below? $y=-a x+b$ $y=a x-b$ $y=a b x$ $y=-a x-b$ $y=a x+b$

Choose the equivalent expression for the given expression: $2(r+y)$ $3 r y$ $2 r+y$ $2 r+2 y$ $3 r+3 y$

A line passes through the point $(10,1)$ and has a slope of $\frac{1}{2}$ . Write an equation in slope-intercept form for this line. $\square$ ～

Complete the equation for this model. $\square$ $\square$ $\square$ Submit Work it out Not feeling ready yet? These can help:

Which of the following expressions has a coefficient of 10 and a constant of 5 ? $10 x+5$ $10+5$ $10+5 x$ $10-5$

Graph this function: $f(x)=\frac{4}{7} x-3$
Click to select points on the graph. Submit

Which of the following values are solutions to the inequality $-10 \geq 6 x-4$ ? I. 3 II. 5 III. -1
Answer None I only II only III only I and II I and III II and III I, II and III

Solve the following system of linear equations: (1) $2 x+3 y+7 z=13$ (2) $3 x+2 y-5 z=-22$ (3) $5 x+7 y-3 z=-28$

9. Hugo earned $\$ 3517.00$ last month as a line chef, including tips. He took home $\$ 525.00$ in tips. If he worked 176 hours in the month, what is his hourly wage?

$6 n-4=26$

A line passes through the point $(-4,-3)$ and has a slope of $\frac{3}{2}$ . Write an equation in slope-intercept form for this line.

Graph the solution to this inequality on the number line. $x+5<-2$
First, select the correct ray. Then, select the location of the endpoint to plot the inequality on the number line.

A radio station is giving away free cars to promote an upcoming concert. The station can spend up to $\$ 48,000$ to buy the cars. If each car costs $\$ 12,000$ , how many cars will the radio station be able to give away? $\square$ cars Submit Work it out

23. $3(x+7)=$

23. $3(x+7)=$

of eache Mrs. Singh bought 9 folders and 9 notebooks. The cos expressions and then find Each noteboo $\qquad$ cost \ $4. Write two equivalent$ \qquad$ Be Precise five friends bought admission a box lunch. The cost of unctreost

A7. Un stade est rempli à $75 \%$ avec 12400 spectateurs. Combien a-t-il de places?

1) $7(2+7 n)=259$

$-3 w+-2 w$

$-2 q-9 q+-9 q$

Question Watch Video
Solve the system by substitution. $\begin{aligned} -7 x-5 y & =36 \\ x & =2 y+3 \end{aligned}$
Answer Attempt 1 out of 3 $\square$ $\square$ Submit Answer

8. Solve each system of equations. a. $\begin{array}{l} 2 x+3 y=4 \\ 2 x=7 y+24 \end{array}$