A student has started a lawn care business. He charges $15 per hour to mow lawns and $20 per hour for gardening. Because he is still in school, he is only allowed to work for at most 20 hours per week. His goal is to make at least $300 per week. 1. Create a system of equations or inequalities that models the situation. Define the variables you use.

Answer:

the answer is c there bud

Answer:

d

Step-by-step explanation:

a^2 + b^2 = c^2

5^2  + 3^2 = c^2

25 + 9 = c^2

34 = c^2

√34 = √c^2

√34 = c

√34 = x

Answer:

student a

Step-by-step explanation:

i just took the exam

The standard form of the given expression is 7x - y = 17

The equation of line in standard form is expressed as Ax + By = C

Given the equation

y + 3 = 7(x - 2)

Expand

y + 3 = 7x - 14

y -7x = -14 - 3

-7x + y = - 17

7x - y = 17

Hence the standard form of the given expression is 7x - y = 17

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Answer:

$3.50 per lb of apples

Step-by-step explanation:

7/2 = 3.5

The two numbers of seven less than 4 times the square of a number is 18 are -5/2 and 5/2

Let the unknown number be "x"

If the resulting expression is 18, this will be expressed as 4x² - 7 = 18

Solving the resulting expression

[tex]4x^2-7=18\\4x^2= 18+7\\4x^2=25\\x^2=\frac{25}{4}\\x=\pm \frac{5}{2}[/tex]

Hence the two numbers of seven less than 4 times the square of a number is 18 are -5/2 and 5/2

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Answer:

x^2+4y^2-8x+8y+4=0

Step-by-step explanation:

The general form of the given ellipse is x² +4y² - 8x + 8y + 4 = 0.

An ellipse can be defined as a shape that looks like an oval circle.

The equation of an ellipse is

[tex]\dfrac{\left(x - h\right)^{2}}{a^{2}} + \dfrac{\left(y - k\right)^{2}}{b^{2}} = 1[/tex]

Where (h, k) is the center a and b are the lengths of the semi-major and the semi-minor axes.

The vertices of an ellipse are (0,-1) and (8,-1).

The endpoints of the minor axis are (4,1) and (4,-3).

The following equations take into account the different properties of an ellipse:

[tex]k = -1k=−1, h^{2} = a^{2}h 2 =a 2 , \left(h - 8\right)^{2} = a^{2}[/tex]

[tex]\begin{cases} b = 2 \\ k = -1 \\ h^{2} = a^{2} \\ \left(h - 8\right)^{2} = a^{2} \end{cases}[/tex]

We get that h = 4 k = -1, a = 4, and  b = 2

The standard form of the given ellipse is

[tex]\dfrac{\left(x - 4\right)^{2}}{4^{2}} + \dfrac{\left(y + 1\right)^{2}}{2^{2}} = 1[/tex]

So the general form will be as : x² +4y² - 8x + 8y + 4 = 0.

Thus, the general form of the given ellipse is x² +4y² - 8x + 8y + 4 = 0.

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Answer:

3 the answer is 3

Step-by-step explanation:

Answer:

15w = s

Step-by-step explanation:

When you look at the graph, after one week, Michael has earned 15 dollars. So if you're trying to find the amount for w weeks, you would multiply 15 by w to get s, the amount of money in Michael's account.

Hope this helps!

Hedgehog68

Answer:

several different solutions,

Answer:

x = 20

Step-by-step explanation:

You can use Pythagorean theorem which is [tex]a^2 + b^2 = c^2[/tex]

a = 12

b = 16

and c would be x.

12^2 + 16^2 = c^2

144 + 256 = c^2

400 = c^2

square root

c = 20 or x = 20

Step-by-step explanation:

Let's solve your equation step-by-step.

−2x+8=10

Step 1: Subtract 8 from both sides.

−2x+8−8=10−8

−2x=2

Step 2: Divide both sides by -2.

−2x−2=2−2

x=−1

Answer:

Answer:

-2

Step-by-step explanation:

The coefficient of an equation or expression is any constant that precedes a variable. So, in this case, the only variable is x, so the coefficient is the preceding number, -2.  

Answer:20 I believe

Step-by-step explanation:

Answer:

yeah it should be 20 they're correct

Answer:

a = (n + p)/m

Step-by-step explanation:

just divide by m on both sides

hope this helped!

Answer:

Step-by-step explanation:

y - 3 = 1/2(x - 0)

y - 3 = 1/2x - 0

y = 1/2x + 3

Answer:

I don't understand

Step-by-step explanation:

4x + 8y = 16

4x = 16 - 8y

4x = 4 (4 - 2y)

x = 4( 4 - 2y)/4

X = 4 - 2y

X = -2y + 4

Answer:

-5,6

Step-by-step explanation:

YO MOM ZZZZZZZZZZZZZZZZP

Answer:

D) x = -8

Step-by-step explanation:

All the values less than 7 are included in the number line. The graph on number line is shown in figure attached. In the options given, all values in Option A, B and C are greater than 7 so these cannot be included.

Answer:

40.6%

Step-by-step explanation:

discount percentage:

x/y*100

266/655 *100 which is 40.6%

Hope this helps plz hit the crown :D

Answer:

A

Step-by-step explanation:

MK and KM are the same line segment

and JKM and LMK share two angles K and M as well as the side of MK or KM making it a Side.Angle.Side

Answer:

It's a function

Step-by-step explanation:

Answer: 3/4

Step-by-step explanation:

28 members in all - 12 boys = 16 girls

12/16 = 3/4

Answer:

x = 5

Step-by-step explanation:

[tex]8x+38=-3(-6-4x)\\\\8x+38=18+12x\\\\8x+38-38=18-38+12x\\\\8x=12x-20\\\\8x-12x=12x-12x-20\\\\-4x=-20\\\\\frac{-4x=-20}{-4}\\\\\boxed{x=5}[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

domain represents the numbers at the x endpoints of a graph.

on the graph we see that on the left, the line ends when x is -4

on the right, the line ends when x is 4

the domain is

-4, 4

but notice how on the left there is an open circle

this will be written with a parentheses

( -4, 4

and notice how on the right there is a closed circle

this will be written with a bracket

(-4, 4]

so the answer is C

Answer:

solving the inequality we get [tex]\mathbf{x\geq 3}[/tex]

The graph is attached below.

Option C is correct option.

Step-by-step explanation:

We need to solve the inequality [tex]\frac{7x-3}{9}\geq 8-2x[/tex]

First we will solve the inequality to find value of x

Solving:

[tex]\frac{7x-3}{9}\geq 8-2x[/tex]

Step 1: Multiply both sides by 9

[tex]9(\frac{7x-3}{9})\geq 9(8-2x)\\7x-3\geq 72-18x[/tex]

Step 2: Adding 3 on both sides

[tex]7x-3+3\geq 72-18x+3\\7x\geq 75x-18x[/tex]

Step 3: Add 18x on both sides

[tex]7x+18x\geq 75-+18x\\25x\geq 75[/tex]

Step 4: Divide both sides by 25

[tex]\frac{25x}{25}\geq \frac{75}{25}\\x\geq 3[/tex]

So, solving the inequality we get [tex]\mathbf{x\geq 3}[/tex]

The graph is attached below.

Option C is correct option.