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3 years ago

Given that f(x) = 2x 1 and g(x) = −5x 2, solve for f(g(x)) when x = 3.

1 answer:

4 0

F(x) = 2x + 1 and g(x) = -5x + 2
f(g(x)) = 2(-5x + 2) + 1 = -10x + 4 + 1 = -10x + 5
f(g(3)) = -10(3) + 5 = -30 + 5 = -25

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A pill has the shape of a cylinder with a hemisphere at each end. The height of the cylindrical portion is 12mm and the overall

Volgvan

Answer:

The volume of the pill is $V=452\ mm^{3}$

Step-by-step explanation:

Find the volume of the pill in cubic millimeters

we know that

The volume of the pill is equal to the volume of the cylinder plus the volume of a sphere (two hemisphere is equal to one sphere)

we have

$V=\frac{4}{3}\pi r^{3}+\pi r^{2}h$

$r= (18-12)/2=3\ mm\\ h=12\ mm$

assume

$\pi =3.14$

substitute

$V=\frac{4}{3}(3.14)(3)^{3}+(3.14)(3)^{2}(12)\\V=452\ mm^{3}$

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3 years ago

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2nd answer.

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3 years ago

Divide. Give the quotient and remainder.<br> 2831 divided by 25

andrew11 [14]

Answer:

113 R 6

Step-by-step explanation:

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3 years ago

A carpenter built a square table with side length x. Next, he will build a rectangular table by tripling one side and halving th

mart [117]

The simplified expression for the area of the rectangular table is Three-halves x squared, 3x²/2

<h3>What is the area of the rectangular table?</h3>

Since the carpenter built a square table with side length x. Next, he will build a rectangular table by tripling one side and halving the other.

To find the area of the rectangular table, we know that Area, A = LW where

L = length and
W = width

Now, since the length of the square is x, and the rectangular table has one side of the square tripled and halving the other side .

So,

let

length of the rectangular table = L = x/2 and
width of rectangular = W = 3x

So, the area of the rectangular table A = LW

= x/2 × 3x

= 3x²/2

So, the simplified expression for the area of the rectangular table is Three-halves x squared, 3x²/2

Learn more about area of rectangular table here:

brainly.com/question/23807625

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2 years ago

A number x increased by 17 is 106

Lorico [155]

Answer:

x = 89

Step-by-step explanation:

106 - 17 = 89

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3 years ago