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shtirl [24]
4 years ago
14

Can anyone help me with this?????

Mathematics
2 answers:
Norma-Jean [14]4 years ago
8 0
All you have to do is plug in 3 for x. 9+3 is 12, and 12^2 is 144. Your answer is f(3) = 144.
Shkiper50 [21]4 years ago
8 0
²Ok, so when they say to find f(3) this just means that they want you to replace the x value with the number 3 and solve it that way.

f(x) = (9+x)²
f(3) = (9+3)²
f(3) = (12)²
f(3) = 144

Hope that helps :)
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A page should have perimeter of 42 inches. The printing area within the page
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Overall  dimensions of the page in order to maximize the printing area is  page should be 11 inches wide and 10 inches long .

<u>Step-by-step explanation:</u>

We have , A page should have perimeter of 42 inches. The printing area within the page  would be determined by top and bottom margins of 1 inch from each side, and the  left and right margins of 1.5 inches from each side. let's assume  width of the page be x inches  and its length be y inches So,

Perimeter = 42 inches

⇒ 2(x+y) = 42\\x+y = 21\\y = 21-x

width of printed area = x-3  & length of printed area = y-2:

area = length(width)

area = (x-3)(y-2)\\area = (x-3)(21-x-2)\\area = (x-3)(19-x)\\area = -x^{2} + 22x -57

Let's find \frac{d(area)}{dx}:

\frac{d(area)}{dx} = \frac{d(-x^{2}+22x-57)}{dx} = -2x +22 , for area to be maximum \frac{d(area)}{dx}= 0

⇒ -2x+22 = 0\\2x =22\\x=11 inches

And ,

y = 21-x\\y = 21-11\\y = 10 inches

∴ Overall  dimensions of the page in order to maximize the printing area is  page should be 11 inches wide and 10 inches long .

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3 years ago
You start at (2, 10). You move down 4 units. Where do you end?
IgorLugansk [536]

Answer:

(2, 6)

Step-by-step explanation:

coordinates work by (x, y)

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In ΔOPQ, PQ = 17, QO = 9, and OP = 15. Which statement about the angles of ΔOPQ must be true?
77julia77 [94]

Answer:

All angles are different.

Internal angles can be acute, obtuse, or right angle.

The smallest side is opposite to the smallest angle and the longer side is opposite to the larger angle.

Step-by-step explanation:

Given - In ΔOPQ, PQ = 17, QO = 9, and OP = 15.

To find - Which statement about the angles of ΔOPQ must be true?

Proof -

As given,

In ΔOPQ, PQ = 17, QO = 9, and OP = 15.

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Now,

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All angles are different.

Internal angles can be acute, obtuse, or right angle.

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