#### Question

# Algebra Help Please?!?

1. Which of the following inequalities matches the graph?

graph of an inequality with a dashed line through the points (0, -4) and (-8, 0) with shading below the line

y less than or greater to negative 1 over 2x - 4

y > negative 1 over 2x - 4

y < negative 1 over 2x - 4

The correct inequality is not listed.

2. Which of the following inequalities matches the graph?

graph of an inequality with a dashed line through the points (0, 7) and (1, 5) with shading below the line

2x + y < 7

2x - y > 7

2x + y < -7

The correct inequality is not listed

3. Which of the following inequalities matches the graph?

graph of an inequality with a solid vertical line through the point (5, 0) and shading to the left of the line

x less than or greater to 5

x greater than or equal to 5

y less than or greater to 5

y greater than or equal to 5

4. Which of the following inequalities matches the graph?

graph of an inequality with a solid vertical line through the point (-7, 0) and shading to the left of the line

x greater than or equal to -7

x less than or greater to -7

y less than or greater to -7

y greater than or equal to -7

5. The non-profit organization you volunteer for is throwing a fundraiser cook out. You are in charge of buying the hamburgers, which cost $3 per pound and hotdogs, which cost $2 per pound. The meat budget you are given totals $600. The inequality 3x + 2y less than or greater to 600 represents the possible combinations of pounds of hamburgers (x) and hotdogs (y) you can buy.

graph of the inequality 3 x plus 2 y is less than or equal to 600

Which of the following represents a solution to the inequality?

200 pounds of hamburgers and 140 pounds of hotdogs

150 pounds of hamburgers and 60 pounds of hotdogs

100 pounds of hamburgers and 240 pounds of hotdogs

240 pounds of hamburgers and 40 pounds of hotdogs

#### Answer

m = (y2 - y1) / (x2 - x1) = (0 - -4)/(-8 - 0) = 4/-8 = -1/2

y - y1 = m * (x - x1) =====> m = -1/2 and choose any (0, -4) and (-8, 0)

y - -4 = -1/2 * (x - 0)

y + 4 = (-1/2)x

y = (-1/2)x - 4 ====> it is not listed ( hoping u mean it as (negative one over two) times x minus 4)

since it is dashed and below:

y < (-1/2)x - 4

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2)

m = (y2 - y1) / (x2 - x1) = (5 - 7)/(1 - 0) = -2/1 = -2

y - y1 = m * (x - x1) =====> m = -2 and choose any (0, 7) and (1, 5)

y - 5 = -2 * (x - 1)

y - 5 = -2x + 2

y = -2x + 2 + 5

y = -2x + 7

since it is dashed and below:

y < -2x + 7 ====> it can be shown in different shape as the following:

2x + y < 7 <==== the first one

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3)

vertical line is x

it is a line,therefore; we are going to have it either ≥ or ≤

shading to the left means as : x ≤ 5 <==== first

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4)

vertical line is x

it is a line,therefore; we are going to have it either ≥ or ≤

shading to the left means as : x ≤ -7 <==== can't see it

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5)

3x + 2y ≤ to 600 ====> lets' check each as (200 , 140)

3*200 + 2*140 ≤ to 600

600 + 280 ≤ to 600

880 ≤ 600 ( not true )

3x + 2y ≤ to 600 ====> lets' check each as (150 , 60)

3*150 + 2*60 ≤ to 600

300 + 120 ≤ to 600

420 ≤ 600 ( true )

3x + 2y ≤ to 600 ====> lets' check each as (100 , 240)

3*100 + 2*240 ≤ to 600

300 + 480 ≤ to 600

780 ≤ 600 ( not true )

3x + 2y ≤ to 600 ====> lets' check each as (240 , 40)

3*240 + 2*40 ≤ to 600

720 + 80 ≤ to 600

800 ≤ 600 ( not true )

do your own homework, if you really need help ask your teacher.