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Neporo4naja [7]
3 years ago
15

I do not know how to do this need help

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
5 0

Remark

First of all you have to declare the meaning of g(f(x)) After you have done that, you have to make the correct substitution.

Givens

f(x) = 4x^2 + x + 1

g(x) = x^2 - 2

Discussion

What the given condition g(f(x)) means is that you begin with g(x). Write down g(x) = x^2 -  2

Wherever you see an x on either the left or right side of the equation, you put fix)

Then wherever you see f(x) on the right you put in what f(x) is equal to.

Solution

g(x) = x^2 - 2

g(f(x)) = (f(x))^2 - 2

g(f(x)) = [4x^2 + x + 1]^2 - 2

f(x)^2 =

4x^2 + x + 1

<u>4x^2 + x + 1</u>

16x^4 + 4x^3 + 4x^2

            4x^3  + x^2 +   x

<u>                         4x^2 + x  + 1</u>

16x^4 + 8x^3 + 9x^2 + 2x + 1

Answer

g(f(x)) = 16x^4 + 8x^3 + 9x^2 + 2x + 1 - 2

g(f(x)) = 16x^4 + 8x^3 + 9x^2 + 2x - 1

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The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator are both increased by 2
ivolga24 [154]

Question:

The numerator and denominator of a fraction are in the ratio of 3 to 5. If the numerator and denominator are both decreased by 2, the fraction is now equal to  \frac{1}{2}.

If n = the numerator and d = the denominator, which of the following systems of equations could be used to solve the problem?

5n = 3d and n - 2 = 2d - 4

5n = 3d and 2n - 4 = d - 2

3n = 5d and 2n - 4 = d - 2

Answer:

5n = 3d and 2n – 4 = d – 2

Solution:

Let n be the numerator of the fraction and d be the denominator of the fraction.

Given the numerator and denominator of a fraction are in the ratio of 3 to 5.

This can be written as n : d = 3 : 5.

⇒ \frac{n}{d}= \frac{3}{5} – – – – (1)

Do cross multiplication, we get

⇒ 5n = 3d

When the numerator and denominator are decreased by 2, the fraction is equal to \frac{1}{2}.

⇒ \frac{n-2}{d-2}= \frac{1}{2}

Do cross multiplication, we get

⇒ 2(n –2)=1(d – 2)

⇒ 2n – 4 = d – 2

Hence, 5n = 3d and 2n – 4 = d – 2 can be used to solve the problem.

6 0
3 years ago
Read 2 more answers
(25 points)
Licemer1 [7]
Here, y = -15 with x = -20
LCM of 15 & 20 is 60, so divide 15 & 20 from 60, 
60/15 = 4 & 60/20 = 3

Now, multiply the results with intial values, 
4y = 3x
y = 3/4 x

When y = 12, 
x = 12 * 4/3
x = 48 / 3
x = 16

In short, Your Answer would be 16

Hope this helps!

8 0
3 years ago
The music store sold 12 trumoets and 19 clarinets last month. If clariners sell for $139.95 and the store made $4,578.45 from sa
Kamila [148]

Answer:

$159.95

Step-by-step explanation:

Let price of trumphet be defined by x

price of clarinet = $139.95

Number of clarinets sold = 19

Earning through clarinets' sale = 19*139.95 = 2659.05

Total earning of store = $4578.45

Earning through trumphets' sale = 4578.45 - 2659.05 = 1919.40

price of one trumohet = \frac{1919.40}{12} = 159.95

price of clarinet = $159.95

7 0
3 years ago
PLZZZZZZZZZZZZZ HELP I NEED HELP QUICK :(
QveST [7]

Step-by-step explanation:

it's gonna either be B or D

7 0
3 years ago
Can I get help again w Khan Academy:(
grin007 [14]

Answer:

49

Step-by-step explanation:

x=180-131=49

7 0
2 years ago
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