An equation of line with slope m = 5 and which goes through the point (8, -9) is y = 5x - 49
In this question, we have been given a slope of the line and a point (8, -9)
We need to find an equation of the line with slope m = 5 and which goes through the point (8, -9)
Let (x1, y1) = (8, -9)
Using the slope-point form of the line,
y - y1 = m(x - x1)
y - (-9) = 5(x - 8)
y + 9= 5x - 40
y = 5x - 40 - 9
y = 5x - 49
Therefore, an equation of line with slope m = 5 and which goes through the point (8, -9) is y = 5x - 49
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Answer: I think you are asking for #2 = CD = AD
Explanation:
I hope this helped!
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If the number was x, then you could write the expression x-5 since you show five less or subtracted from the number. Hope this helps.
Let C(x) = -0.75x + 20,000 and R(x)= -1.50x then the profit function exists noted as P(x) = R(x) - C(x)
P(x) = -1.50x - (-0.75)x + 20,000
P(x) = -0.75x + 20000
Therefore, the profit function exists -0.75x + 20000.
<h3>How to find profit function?</h3>
The profit function can be estimated by subtracting the cost function from the revenue function. Let profit be expressed as P(x), the revenue as R(x), the cost as C(x), and x as the number of items traded. Then the profit function exists noted as P(x) = R(x) - C(x).
Given:
C(x) = -0.75x+20,000 and R(x)= -1.50x
P(x) = R(x) - C(x)
= -1.50x - (-0.75)x + 20,000
= -1.50x + 0.75x + 20,000
Apply rule -(-a) = a
= -1.5x + 0.75x + 20000
Add similar elements:
-1.5 x + 0.75x = -0.75x
P(x) = -0.75x + 20000
Therefore, the profit function exists -0.75x + 20000.
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Answer:
120 seconds
Step-by-step explanation:
To solve this question you have to make equation of both gallon.
Gallon 1 have 130 gallons of water at the start and filled by 1/4 gallon each second. If x equal to the time in seconds, the equation of gallon 1 volume will be:
g1= 130+ 1/4x
Gallon 1 have 200 gallons of water at the start and drained by 1/ 3 gallon each second, the equation of gallon 2 volume :
g2= 200- 1/3x
When gallon 1 volume equal to gallon 2, it mean g1=g2
g1= g2
130+ 1/4x = 200- 1/3x
130- 200= -1/3x -1/4x
-70= - 4/12x - 3/12x
-7/12x= -70
7/12x= 70
x= 70*12/7
x= 120
