Answer:
It would be the first answer.
Step-by-step explanation:
y=-2x^2+4x-2
y=-2(-1)^2+4(-1)-2
y=-2(1)-4-2
y=-2-4-2
y=-6-2
y=-8
(-1,-8)
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Answer:
x2 = 60
Step-by-step explanation:
If the variables x and y are inversely proportional, the product x * y is a constant.
So using x1 and y1 we can find the value of this constant:
Now, we can use the same constant to find x2:
So the value of x2 is 60.
1.625 rounded to the nearest hundredth is 1.63
Answer:
The answer is below
Step-by-step explanation:
The profit equation is given by:
p(t)= -25t³+625t²-2500t
The maximum profit is the maximum profit that can be gotten from selling t trailers. The maximum profit is at point p'(t) = 0. Hence:
p'(t) = -75t² + 1250t - 2500
-75t² + 1250t - 2500 = 0
t = 2.3 and t = 14.3
Therefore t = 3 trailers and t = 15 trailers
p(15) = -25(15³) + 625(15²) - 2500(15) = 18750
Therefore the company makes a maximum profit of approximately $18750 when it sells approximately 15 trailers.
Answer:
Step-by-step explanation:
It is an arithmetic sequence with common difference d = 30.
a₂₀ = a₁ + (20-1)d = -8 + 19·30 = 562
