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Slav-nsk [51]
3 years ago
9

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the

given equation. Using this equation, find out what price the widgets should be sold for, to the nearest cent, for the company to make the maximum profit. y = -5x² + 194x - 990​
Mathematics
1 answer:
Anastasy [175]3 years ago
8 0

Answer: 19.4

Step-by-step explanation:

Given

Profit is given in terms of the selling price

y=-5x^2+194x-900

to get the maximum price, differentiate y w.r.t x

\frac{\mathrm{d} y}{\mathrm{d} x}=-5\times 2x+194

Put  \frac{\mathrm{d} y}{\mathrm{d} x}=0 to get maximum value

10x=194\\x=19.4

Thus, the company must sell it at 19.4

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Answer:

3x² + 8x - 9

Step-by-step explanation:

8x² - 5x² +x+7x-10+1

=3x² + 8x - 9

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Use complete sentences to describe why Set A = {x|x is an even whole number between 0 and 2} = ∅.
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3 years ago
A rock is thrown upward from a bridge that is 57 feet above a road. The rock reaches its maximum height above the road 0.76 seco
bekas [8.4K]

answer:

f(t) = -9.9788169(t -0.76)^2 +57

Step-by-step explanation:

On this question we see that we are given two points on a certain graph that has a maximum point at 57 feet and in 0.76 seconds after it is thrown, we know can say this point is a turning point of a graph of the rock that is thrown as we are told that the function f determines the rocks height above the road (in feet) in terms of the  number of seconds t since the rock was thrown therefore this turning point coordinate can be written as (0.76, 57) as we are told the height represents y and x is represented by time in seconds. We are further given another point on the graph where the height is now 0 feet on the road then at this point its after 3.15 seconds in which the rock is thrown in therefore this coordinate is (3.15,0).

now we know if a rock is thrown it moves in a shape of a parabola which we see this equation is quadratic. Now we will use the turning point equation for a quadratic equation to get a equation for the height which the format is f(x)= a(x-p)^2 +q  , where (p,q) is the turning point. now we substitute the turning point

f(t) = a(t-0.76)^2 + 57, now we will substitute the other point on the graph or on the function that we found which is (3.15, 0) then solve for a.

0 = a(3.15 - 0.76)^2 + 57

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-9.9788169 = a      then we substitute a to get the quadratic equation therefore f is

f(t) = -9.9788169(t-0.76)^2 +57

4 0
3 years ago
A kite was flying 50 ft high from ground level. Suddenly it loses 20 ft in height due to wind.
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Answer:

30ft

Step-by-step explanation:

50- 20 = 30

hope it helps!

5 0
3 years ago
Read 2 more answers
⚠️⚠️⚠️help⚠️⚠️⚠️⚠️⚠️​
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The second one should be the answer
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3 years ago
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