respond to the question and solve the problems
Question 1 :
Write the equation of vertical line passing trough the point (5, 2).
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x = 5 |
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x = 2 |
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y = 5 |
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y = 2 |
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Question 2:
Do the graph that represents the function: y = 2x – 4
Question 3:
Do the graph that represents the function: 5x - 3y = 15
Question 4
Convert given equation of line to slope-intercept form y = mx + b and identify slope m:
x + 2y = 8
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a. m= - 1/2 |
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b. m=2 |
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c. m=1 |
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d. m=4 |
Question 5:
Find slope of the line for the graph below:
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a. -1 |
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b. -2 |
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c. 1 |
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d. 2 |
Question 6:
Select inequality that represents shaded area on the graph below:
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a. 2x + y < 4 |
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b. 4x + 2y < 1 |
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c. x + 2y > 4 |
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d. x - 2y < 1 |
Question 7:
Select inequality that represents shaded area on the graph below:
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a. y < (1/4)x + 2 |
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b. y > (1/4)x + 2 |
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c. y > x + 2 |
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d. y < x + 2 |
Question 8:
For the function:
F(x) = x-5
x+5
find f(-10)
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a. 1.5 |
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b. - 5 |
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c. 3 |
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d. - 2 |
Question 9 :
Solve system of equations using Substitution Method. Show steps, not just answer. x + y = 3 2x + 3y = 4 Type your solution in the box below.
Question 10:
Solve system of equations using Addition (Elimination) Method. Show steps, not just answer. x – 2y = 2 5x + 2y = 22 Type your solution in the box below.
Question 11:
question 12:
Peter weights 30 lbs more than John. Total weight of Peter and John together is 300 lbs. Let Peter's weight is x lbs and John's weight is y lbs. Create two equations with x and y, and solve system of equations.
Type your solution in the box below.
Question 13:
If you buy 1 pound potatoes and 2 pounds tomatoes you will pay $4. For 4 pounds potatoes and 3 pounds tomatoes you will pay $8. How much costs pound potatoes and how much costs pound tomatoes? Assign x for cost of potatoes per pound and assign y for cost of tomatoes per pound. Create two equations with x and y, and solve system of equations. Answers should decimal numbers with two digits after decimal point (like 4.20) Type your solution in the box below.
Question 14:
Select system of two inequalities that represent shaded area on the graph below:
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a. x+y≤ 2 y≥ 2 b. x - y ≤ 2 y ≤ 2
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c. 2x - 2y ≤ 1 y > 2
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d. 2x + 2y ≤ 1 y < 1
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Question 15:
Do the graph that represents solution for the following system of inequalities: x + y ≤ 2 2x - y ≤ 4