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3 years ago

8

If f(x)= x^2 + 5 and g(x) =5x+4, what is[f o g(6)

1 answer:

natulia [17]3 years ago

7 0

You can do this a couple ways: either find g(6), then find f(x) of whatever that gives you (a 2-step process), or come up with a new expression to represent f(g(x)) and sub 6 into that (a 1-step process). I like the 1-step process more.

g(x) = 5x + 4; We want to sub this expression into every x in f(x) to get f(g(x)). If f(x) = x^2 + 5, then f(g(x)) = g(x)^2 + 5 = (5x + 4)^2 + 5. Now you can sub 6 into this equation and solve: f(g(6)) = (5(6) + 4)^2 + 5 = 1161.

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Vsevolod [243]

Answer:

2.5 pi

Step-by-step explanation:

Comment

If you were trying to get the area of a whole circle, you would use

Area = pi r^2

You have to modify the formula to show that just part of the circle has an area that you are interested in.

The new formula is

Area = (theta/360) pi r^2

Givens

r = 30 cm

theta = 100

Solution

Area = (100 / 360) * pi * r^2 Substitute the givens into this formula

Area = (5 / 18) * pi * 3^2 Expand

Area = (5 / 18) * pi * 9 Cancel 9 into 18

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2 years ago

Find the area of the rhombus

Valentin [98]

Answer:

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Step-by-step explanation:

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3 years ago

1+(-2-5)^2+(14-17)×4 please answer

hjlf

When you simplify the expression you get 38. Hope this helps.

Answer = 38.

6 0

2 years ago

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n200080 [17]

Answer:

DE = 39.64840676

CE = 35.3269891

Step-by-step explanation:

SOH CAH TOA

Thus,

sin(27) = 18/DE

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2 years ago

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notka56 [123]

Answer:

$y = \frac{32}{3}$

Step-by-step explanation:

Firstly, move over the negative 3/4 fraction (don't forget to swap the operation i.e subtract to add):

$\frac{y}{8} = \frac{7}{12} + \frac{3}{4}$

Now, to add the two fractions, simply multiply the numerator and denominator by 3:

$\frac{3*3}{4*3} = \frac{9}{12}$

Now add this to the other fraction:

$\frac{9}{12} + \frac{7}{12} = \frac{16}{12}$

This can be simplified down by dividing both the numerator and denominator by 4:

$\frac{4}{3}$

Which now simplifies the original equation to:

$\frac{y}{8} = \frac{4}{3}$

Remove the y out of the fraction:

$\frac{1}{8}y = \frac{4}{3}$

Now multiply both sides by 8:

$(\frac{1}{8}y) * 8 = (\frac{4}{3}) * 8$

$y = \frac{4*8}{3}$

$y = \frac{32}{3}$

Hope this helps!

5 0

3 years ago

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