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Mathematics, 24.06.2021 19:40 NeriyahY

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 โˆ’ y > 7
2x + y < โˆ’7
The correct inequality is not listed
Question 3(Multiple Choice Worth 1 points)
(04.05 LC)

Write an inequality to represent the graph.

a solid line passing through points 0 comma negative 7 and 3 comma negative 5 with shading above the line

y is greater or equal to than two thirds times x minus 7
y is less than or equal to two thirds times x minus 7
y is greater than or equal to three halves times x minus 7
y is less than or equal to three halves times x minus 7
Question 4(Multiple Choice Worth 1 points)
(04.05 LC)

Which of the following inequalities matches the graph?

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

x โ‰ฅ โˆ’7
x โ‰ค โˆ’7
y โ‰ค โˆ’7
y โ‰ฅ โˆ’7
Question 5(Multiple Choice Worth 1 points)
(04.05 MC)

Which inequality matches the graph?

X, Y graph. X range is negative 10 to 10, and y range is negative 10 to 10. Dashed line on graph has positive slope and runs through negative 10, negative 9 and negative 1, negative 3 and 8, 3. Above line is shaded.

โˆ’2x + 3y > 7
2x โˆ’ 3y < 7
โˆ’3x + 2y โ‰ฅ 7
3x โˆ’ 2y โ‰ค 7
Question 6(Multiple Choice Worth 1 points)
(04.05 MC)

Lincoln Middle School has a total of $200 to spend on notebooks and tablets for the school board meeting. Notebooks cost $7 each, and tablets cost $5 each.

If x represents the number of notebooks and y represents the number of tablets, which graph correctly shows the solution to the problem 7x + 5y โ‰ค 200?

X, Y graph. X range is negative 60 to 60, and y range is negative 60 to 60. Solid line on graph has negative slope and runs through 0, 40 and 50, negative 30. Below line is shaded.
X, Y graph. X range is negative 60 to 44, and y range is negative 60 to 60. Solid line on graph has negative slope and runs through 0, 40 and 50, negative 30. Above line is shaded.
X, Y graph. X range is negative 60 to 44, and y range is negative 60 to 60. Dashed line on graph has negative slope and runs through 0, 40 and 50, negative 30. Above line is shaded.
X, Y graph. X range is negative 60 to 44, and y range is negative 60 to 60. Dashed line on graph has negative slope and runs through 0, 40 and 50, negative 30. Below line is shaded.
Question 7(Multiple Choice Worth 1 points)
(04.05 LC)

Which correctly describes how the graph of the inequality 4x โˆ’ 2y > 20 is shaded?

Above the solid line
Below the solid line
Above the dashed line
Below the dashed line
Question 8(Multiple Choice Worth 1 points)
(04.05 LC)

Which of the following inequalities matches the graph?

graph of an inequality with a solid horizontal line through the point 0, negative 1 and shading above the line

x โ‰ค โˆ’1
x โ‰ฅ โˆ’1
y โ‰ค โˆ’1
y โ‰ฅ โˆ’1
Question 9(Multiple Choice Worth 1 points)
(04.05 MC)

In which quadrants do solutions for the inequality y is less than or equal to two thirds times x minus 4 exist?

I, III, and IV
I, II, and III
I and IV
All four quadrants
Question 10(Multiple Choice Worth 1 points)
(04.05 MC)

The non-profit organization you volunteer for is throwing a fundraiser cookout. You are in charge of buying the hamburgers, which cost $3 per pound, and hot dogs, which cost $2 per pound. The meat budget you are given totals $600 dollars. The inequality 3x + 2y โ‰ค 600 represents the possible combinations of pounds of hamburgers (x) and hot dogs (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 hot dogs
150 pounds of hamburgers and 60 pounds of hot dogs
100 pounds of hamburgers and 240 pounds of hot dogs
240 pounds of hamburgers and 40 pounds of hot dogs
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