What is the inequality for one fourth of the opposite of the difference of five and a number is less than twenty?

Mathematics

1 answer:

V125BC [204]2 years ago

4 0

-1/4(x-5)<20

This is because the 1/4 would have to be negative to get the opposite of the parenthesis. <span />

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ycow [4]

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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

RUDIKE [14]

9514 1404 393

Answer:

$1571

Step-by-step explanation:

If we assume that y is profit in dollars, the maximum value of y is revealed by a graph to be ...

ymax = $1571

The maximum profit the company can make is $1571 at a selling price of $45 each.

_____

The function can be written in vertex form as ...

y = -(x^2 -90x) -454

y = -(x^2 -90x +45^2) -454 +45^2

y = -(x -45)^2 +1571

Because the leading coefficient is negative, we know this vertex represents a maximum. (x, y) = (45, 1571) at the vertex. Maximum profit is $1571.