3 years ago

Help me find the area of the shaded region

Mathematics

1 answer:

dalvyx [7]3 years ago

7 0

I think it’s 50 but idk

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The function f(x) = –x2 + 20x – 75 models the profit from one customer, in dollars, a shop makes for printing photos, where x is

trasher [3.6K]

The function is graphed as shown below

Part A:

We use the formula $- \frac{b}{2a}$ to find the vertex of the function. A quadratic function of the form of $a x^{2} +bx+c$ and equating this form to the given function $- x^{2} +20x-75$ , we have
$b=20$ and $a=-1$ .

Substituting $a$ and $b$ into the vertex formula, we have
$x=- \frac{20}{2(-1)}=10$ , as shown in the graph

This calculation means that the highest profit is achieved when the number of photo printed equals to ten photos

Part B:

We can find solution to this equation by factorising

$- x^{2} +20x-75=0$
$-( x^{2} -20x+75)=0$
$x^{2} -20x+75=0$
$(x-5)(x-15)=0$
$x=5$ and $x=15$ , as shown in the graph

The two values means that the company makes no profit when they either produce 5 or 15 photos

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3 years ago

Express the shaded area as a fraction, a decimal, and a percent of the whole.

horrorfan [7]

1/2 = fraction. 1.2= decimal 12%= percent

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2 years ago

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Umnica [9.8K]

It’s a positive slope, constant slope, and increasing function. Because it’s a straight line going diagonally to the top right, you know the slope is positive, constant, and the function is positive.

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2 years ago

in an experiment, the temperature dropped 2 degrees each day until the temperature reaches negative 5.5 degrees. if the starting

WITCHER [35]

$32.9-(-5.5)=38.4$
38.4/2=19.2
around 19 days

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3 years ago

to troubleshoot a problem in a complex computer system you need to seek help from a ____ team. ( tech)

ioda

Here you need an adjective of the given word (Tech), so the answer is technical.

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2 years ago

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