A lawn care company uses the formula c(h)= 9h+15 to find the cost c to perform services for h hours.
1 answer:
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Based on the equation, the coordinate point is (-4, 2). It is -4 because in the original equation, it's 
, but because it's positive, that must mean it was originally a negative. Why? Because a negative times an negative equals a positive.
Now, let's convert this to Slope-Intercept Form.
y - 2 = 2/3(x + 4)
y - 2 = 2/3x + 8/3
Add 2 to both sides.
y = 2/3x + 14/3
The slope of the line is 2/3 and the original point was (-4, 2).
Now, let's convert this to Slope-Intercept Form.
y - 2 = 2/3(x + 4)
y - 2 = 2/3x + 8/3
Add 2 to both sides.
y = 2/3x + 14/3
The slope of the line is 2/3 and the original point was (-4, 2).
Answer:
180 fb*lb
45 ft*lb
Step-by-step explanation:
We have that the work is equal to:
W = F * d
but when the force is constant and in this case, it is changing.
therefore it would be:
Where a = 0 and b = 30.
F (x) = 0.4 * x
Therefore, we replace and we would be left with:
We integrate and we have:
W = 0.4 / 2 * x ^ 2
W = 0.2 * (x ^ 2) from 0 to 30, we replace:
W = 0.2 * (30 ^ 2) - 0.2 * (0 ^ 2)
W = 180 ft * lb
Now in the second part it is the same, but the integral would be from 0 to 15.
we replace:
W = 0.2 * (15 ^ 2) - 0.2 * (0 ^ 2)
W = 45 ft * lb