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madam [21]
3 years ago
5

Find f(g(x)) when f(x) = 3x2 + x - 8, and g(x) = 4x + 5.

Mathematics
1 answer:
pshichka [43]3 years ago
7 0

Answer:

Its C.

Step-by-step explanation:

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F(x)= sin(arctanx). find the range of f.
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Answer is in the attachment below.

-1<f(x)<1

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I need an answer and explanation. A student spends the same amount each week for bus fare. In 5 weeks, he spends $115. Which equ
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Write the explicit rule of the arithmetic sequence that has a first term of 3 and a fourth term of 18
mr Goodwill [35]

Answer:

a_{n} = 5n - 2

Step-by-step explanation:

The nth term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₄ = 18 , then

a₁ + 3d = 18 , that is

3 + 3d = 18 ( subtract 3 from both sides )

3d = 15 (divide both sides by 3 )

d = 5

Then

a_{n} = 3 + 5(n - 1) = 3 + 5n - 5 = 5n - 2 ← explicit rule

5 0
2 years ago
Solve the equation 4z^2 + 4z -9 = 0 by completeing the square<br><br><br>​
nasty-shy [4]

Answer:

z=(sqrt(10)-1)/2 or z= -(sqrt(10)-1)//2

Step-by-step explanation:

To complete the square, the last term has to be 1. So adding 10 to both sides, we get:

4z^2+4z+1 = 10

Since 4z^2+4z+1=(2z+1)^2,

(2z+1)^2 = 10.

Taking the square root of both sides, we get

2z+1=sqrt(10) or 2z+1=-sqrt(10)

So z=(sqrt(10)-1)/2 or z= -(sqrt(10)-1)//2

3 0
3 years ago
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