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MArishka [77]
3 years ago
9

G(x)=27x^3+125

Mathematics
1 answer:
Darya [45]3 years ago
8 0

Answer:

The answer to your question is: (3x + 5)(9x² - 15x + 25)

Step-by-step explanation:

Data

G(x) = 27x³ + 125

This is a sum of cubes

Process

\sqrt[3]{27} = 3

\sqrt[3]{125} = 5

      27x³ + 125 = (3x)³ + (5)³ = (3x + 5)(9x² - 15x + 25)

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Twice the complement of an angle is 24 degrees less than its supplement. What is the measure of the angle?
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Answer:

2(90-x)=180-x-24

solve this

180-2x=156-x

solve the rest on your own

Hope it helps!

7 0
3 years ago
If theta is an acute angle and sin=1/2 , then cos theta =
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For the given functions f and g, complete parts (a)-(h). For parts (a)-(d), also find the domain.
slamgirl [31]

The domain for (a) , (b) , (c) is all set of real numbers , for (d) (x ε R except x = 3/8.

The complete question is

a) (f + g)(x), (b) (f – g)(x), (c) (f × g)(x), (d) (f / g)(x), (e) (f + g)(7), (f) (f - g)(2), (g) (f.g)(3), (h) (f/g)(27)

<h3>What is a Function ?</h3>

A function is the law that defines the relation between independent and a dependent variable.

It is given that

f(x) = 3x+8

g(x) = 8x-3

(a)  (f + g)(x) = 3x+8 +8x-3 = 11x+5

(b)  (f – g)(x) = 3x+8 -8x+3 = -5x +11

(c) (f × g)(x) = (3x+8)(8x-3) = 24x²-9x+64x -24 = 24x² +55x-24

(d)(f / g)(x) = (3x+8)/(8x-3)

(e) (f + g)(7) = 11*7+5 = 77+5 = 82

(f) (f - g)(2)= -5*2 +11 = 1

(g) (f.g)(3) =24*9 +55*3 -24 = 357

(h)  (f/g)(27) = (3x+8)/(8x-3)  = (3 * 27 +8)/(8*27-3) = 89/213

The domain for (a) , (b) , (c) is all set of real numbers , for (d) (x ε R except x = 3/8)

To know more about Function

brainly.com/question/12431044

#SPJ1

3 0
2 years ago
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