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salantis [7]
3 years ago
5

Given that f(x)=6x+2 and g(x)=2x+4/5 solve for g(f(1)) A.1 B.3 C.4 D.8

Mathematics
1 answer:
GrogVix [38]3 years ago
6 0

Answer:

The value of g(f(1)) is 84/5

Step-by-step explanation:

To find the answer to a composite function, start with the function on the inside, which is f(1). So, we input 1 into the f(x) equation and evaluate.

f(x) = 6x + 2

f(1) = 6(1) + 2

f(1) = 6 + 2

f(1) = 8

Now that we have the answer of 8, we can input that in for x in the outside function, which is g(x).

g(x) = 2x + 4/5

g(8) = 2(8) + 4/5

g(8) = 16 + 4/5

g(8) = 84/5

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Answer:
C) y=-1/4x

Explanation:
4 0
3 years ago
Is 1/2 greater than 2/5
Free_Kalibri [48]
yes it is greater than 2/5


6 0
3 years ago
Bruno uses a piece of wrapping paper with dimensions 1 and one-fourth feet by 3 feet to wrap a gift. What is the total area of t
8_murik_8 [283]

The area of the paper used to wrap the gift is 3 3/4 square feet

<h3>How to determine the total area?</h3>

The dimension is given as:

1 1/4 by 3

The area is the product of the dimensions.

So, we have

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Express as an improper fraction

Area = 5/4 * 3

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Area = 15/4

Rewrite as:

Area = 3 3/4

Hence, the area of the paper used to wrap the gift is 3 3/4 square feet

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8 0
2 years ago
If tan a = 3/4 find the value of sin 3a
Effectus [21]
T=-1

sinA=sin(π/2-3A), A=2nπ+π/2-3A, 4A=2nπ+π/2, A=nπ/2+π/8 where n is an integer.

Also, π-A=2nπ+π/2-3A, 2A=2nπ-π/2, A=nπ-π/4.

The hard way:

cos3A=cos(2A+A)=cos(2A)cosA-sin(2A)sinA.

Let s=sinA and c=cosA, then s²+c²=1.

cos3A=(2c²-1)c-2c(1-c²)=c(4c²-3).

s=c(4c²-3) is the original equation.

Let t=tanA=s/c, then c²=1/(1+t²).

t=4c²-3=4/(1+t²)-3=(4-3-3t²)/(1+t²)=(1-3t²)/(1+t²).

So t+t³=1-3t², t³+3t²+t-1=0=(t+1)(t²+2t-1).

So t=-1 is a solution.

t²+2t-1=0 is a solution, t²+2t+1-1-1=0=(t+1)²-2, so t=-1+√2 and t=-1-√2 are solutions.

Therefore tanA=-1, -1+√2, -1-√2 are the three solutions from which:

A=-π/4, π/8, -3π/8 radians and these values +2πn where n is an integer.

Replacing π by 180° converts the solutions to degrees.

3 0
3 years ago
Emily jogged 8 miles due north, then turned east and jogged 15 miles. How many miles is
elena55 [62]

Answer:

The answer is 120

Step-by-step explanation:

I got it by timing 8 and 15 , and I got 120

8 0
3 years ago
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