Write the equation of the line in point slope form for a horizontal line that passes through (5,-6)

Which person has the highest hourly <br> wage? How do you know?

Inga [223]

Answer:

Savannah

Step-by-step explanation:

1. Find the unit rate of all of the tables by dividing the values so that you know how much they earn per hour (ex. for Greg, the ratio is 3hours:$27 so divide all values by 3 to get 1hour:$9).

2. Compare all of the unit rate values (Savannah: $9.50 per hour, Greg: $9 per hour, and Kevin: $8.25 per hour).

4 0

2 years ago

<img src="https://tex.z-dn.net/?f=5x%20%2B%209%20%20%3D%203x%20%2B%201" id="TexFormula1" title="5x + 9 = 3x + 1" alt="5x + 9 =

marissa [1.9K]

Answer:

$x = -4$

Step-by-step explanation:

Take out 3x from both sides:

5x - 3x = 3x - 3x

2x = 0

2x + 9 = 1

Take out 9 from both sides:

9 - 9 = 1 - 9

0 = -8

Divide 2 from both sides:

$\frac{2x}{2} = \frac{-8}{2}$

$x = -4$

6 0

3 years ago

Read 2 more answers

2/15 + 27/35 = what in reduced terms

solniwko [45]

2/15 + 27/35 = 14+81 /105 = 95/105 = 19/21

so, your answer is 19/21

8 0

3 years ago

Select the point that is a solution to the system of inequalities

Zarrin [17]

<h2>Hello!</h2>

The answer is:

The point that is a solution to the system of inequalities is C(4,2).

To find the point that is a solution to the system of inequalities, we need to evaluate it into the given inequalities. If the point is a solution to the system of inequalities, both inequalities will be satisfied.

We are given the inequalities:

$y\leq 2x-2$

$y\leq x^{2} -3x$

So, substituting the given points into the given inequalities, we have:

- A. (2,1)

Substituting into the first inequality, we have:

$y\leq 2x-2\\\\1\leq 2*(2)-2\\\\1\leq 4-2\\\\1\leq 2$

Substituting into the second inequality, we have:

$y\leq x^{2} -3x$

$1\leq (2)^{2} -3(2)$

$1\leq 4 -6$

$1\leq -2$

Therefore, since 1 is not less or equal to -2, the point A(2,1) is not a solution to the system of inequalities.

- B. (-2,-1)

Substituting into the first inequality, we have:

$y\leq 2x-2\\\\-1\leq (-2)*(2)-2\\\\-1\leq -4-2\\\\-1\leq -6$

Substituting into the second inequality, we have:

$y\leq x^{2} -3x$

$-1\leq (-2)^{2} -3(-2)$

$-1\leq 4 +6$

$-1\leq 10$

Therefore, since -1 is not less or equal to -6, the point B(-2,-1) is not a solution to the system of inequalities.

- C. (4,2)

Substituting into the first inequality, we have:

$y\leq 2x-2\\\\2\leq (4)*(2)-2\\\\2\leq 8-2\\\\2\leq 6$

Substituting into the second inequality, we have:

$y\leq x^{2} -3x$

$2\leq (4)^{2} -3(4)$

$2\leq 16 -12$

$2\leq 4$

Therefore, since 2 is less than 6, and 2 is less than 4, the point B(4,2) is a solution to the system of inequalities.

- D(1,3)

Substituting into the first inequality, we have:

$y\leq 2x-2\\\\3\leq (1)*(2)-2\\\\3\leq 2-2\\\\3\leq 0$

Substituting into the second inequality, we have:

$y\leq x^{2} -3x$

$3\leq (1)^{2} -3(1)$

$3\leq 1 -3$

$3\leq -2$

Therefore, since 3 is not less than 0, and 3 is not less than -2, the point D(1.3) is not a solution to the system of inequalities.

Hence, the point that is a solution to the system of inequalities is C(4,2).

Have a nice day!

6 0

3 years ago

[GEOMETRY] If m∠DEG= 5x - 4 m∠GEF=7x - 8 m∠DEH= 9y + 5 find the values of x and y

IgorLugansk [536]

we are given

DEF is a line

so, sum of angles must be 180

angle(DEG)+angle(GEF)=180

now, we can plug values

$5x-4+7x-8=180$

$12x-12=180$

$12x=192$

$x=16$ .........Answer

vertically opposite angle must be equal

angle(GEF)=angle(DEH)

now, we can plug values

$9y+5=7x-8$

now, we can plug x=16

$9y+5=7*16-8$

$9y+5=104$

$9y=99$

$y=11$ ...................Answer

9 0

3 years ago