Use intercepts to graph the linear equation -2x+7y=-21 Question 2
1 answer:
Answer:
The point representing the y-intercept is: (0, -3)
The black dot represents the y-intercept on the attached graph. It is very clear at y = 0, x = -3.
The point representing the x-intercept is: (10.5, 0)
The red dot represents the x-intercept on the attached graph. It is very clear at x = 0, y = 10.5
Step-by-step explanation:
Given the linear equation
-2x+7y=-21
Determining the y-intercept
We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
substituting x = 0 in the equation
-2x+7y=-21
-2(0) + 7y = -21
0+7y = -21
7y = -21
divide both sides by 7
7y/7 = -21/7
y = -3
Therefore, the point representing the y-intercept is: (0, -3)
The black dot represents the y-intercept on the attached graph. It is very clear at y = 0, x = -3.
Determining the x-intercept
We know that the value of x-intercept can be determined by setting y = 0, and determining the corresponding value of x.
substituting y = 0 in the equation
-2x+7y=-21
-2x+7(0) = -21
-2x + 0 = -21
-2x = -21
divide both sides by -2
-2x / -2 = -21 / -2
x = 21/2
x = 10.5
Therefore, the point representing the x-intercept is: (10.5, 0)
The graph of the linear equation containing the y-intercept (0, -3) and x-intercept (10.5, 0) is shown and attached below.
The red dot represents the x-intercept on the attached graph. It is very clear at x = 0, y = 10.5
Please check the attached graph.
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Answer:
1 $16.50
2 $28.50
3 $40.50
$4.50 + $12c
$100.50
Step-by-step explanation:
Please find attached the complete question
Total cost in dollars = fixed cost + (variable cost x number of CDs bought)
fixed cost = $4.50
variable cost = $12
number of cds bought = c
total cost in dollars = $4.50 + $12c
total cost in dollars when 1 cd is bought = $4.50 + $12(1) = $16.50
total cost in dollars when 2 cds are bought = $4.50 + $12(2) = $28.50
total cost in dollars when 3 cds are bought = $4.50 + $12(3) = $40.50
total cost in dollars when 8 cds are bought = $4.50 + $12(8) = $100.50
