MATHEMATICS HIGH SCHOOL

Given the following functions f(x) and g(x), solve f[g(6)] and select the correct answer below:f(x) = 6x 12

g(x) = x − 8

−96
0
24
48

Answers

Answer 1
Answer:

Answer:  The correct option is (B) 0.

Step-by-step explanation:  We are given the following two functions :

f(x)=6x+12,\n\ng(x)=x-8.

We are to find the value of f(g(6)).

To find the required value, first we need to find the value of f(g(x)).

We have

f(g(x))\n\n=f(x-8)\n\n=6(x-8)+12\n\n=6x-48+12\n\n=6x-36.

Therefore, we get

f(g(6))=6*6-36=36-36=0.

Thus, the required value of f(g(x)) is 0.

Option (B) is CORRECT.
Answer 2
Answer: First you need to find g(6) which is -2 now plug in -2 into the function f. So 6(-2)+12=0

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Hi I just need help finding x in this math equation:x/2 + x/4 = 12
Also please explain. Thanks!

Answers

x/2 +x/4 =12
(1/2+1/4)x= 12
3/4x =12
by multiple both sides by 4/3
so x = 16
x/2 + x/4 = 12
Find the LCD, which is 4.
2x/4 + x/4 = 12
3x/4 = 12
Multiply both sides by 4 to remove the fraction.
3x/4 • 4 = 12 • 4
3x = 48
To find x, divide both sides by the coefficient of x, which is 3.
3x/3 = 48/3
x = 16

Check:
16/2 + 16/4 = 12
2(16)/4 + 16/4 = 12
32/4 + 16/4 = 12
8 + 4 = 12
12 = 12

Thus, the answer to x is 16.

Which is the side length of a cube with a volume of 64 m3?

Answers

Which is the side length of a cube with a volume of 64 m3?

Volume: 64m³

a^3 = 64
\sqrt[3]{64} [/tex] = 4 m
                                 ↑
                          the answer
Check
4 * 4 * 4 = 64 m³ 
                   

A square has an area of 49 square meters. What is the perimeter of the square? 1) 28 meters 2) 30 meters 3) 32 meters 4) 36 meters

Answers

Answer:

1)28

Step-by-step explanation:

The area of square=49m^2

or,L^2=49

i.e. L=7

also perimeter =4L

or, =4×7

or, perimeter=28m

Can anyone help quickly.. explanation is not necessary but would be appreciated, I struggle with this topic and would like to understand it a little bit.

Answers

Answer:

38.68 degrees

Step-by-step explanation:

In this equation you are trying to find the degrees using the hypotenuse and opposite. So you have to use the function sin^-1(5/8). Because when using Sin it is opposote ove hypotenuse.

2+1=
I still cannot firnd the answer I am so silly plz someone teleel me in 1 min

Answers

3
Is the answer hope it helped
3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 33 3 3

In the diagram, ΔGEF and ΔHEF are congruent. What is the value of x?. . 60. . 41. . 28. . 30

Answers

I added a screenshot with the diagram


Answer:

x = 28


Explanation:

When two triangles are congruent, corresponding sides as well as corresponding angles are equal


We are given that:

ΔGEF and ΔHEF are congruent


This means that:

angle G = angle H

angle GEF = angle HEF

angle EFG = angle EFH

GE = HE

GF = HF

EF = EF


We are given that:

angle GFE =60° and angle HFE = 2(x+2)


Since the two angles are equal, we can get x as follows:

2(x+2) = 60

x + 2 = 30

x = 30 - 2

x = 28


Hope this helps :)
If Δ GEF and Δ HEF are congruent than:
2 ( x + 2 ) = 60   / : ( -2 )  we will divide both sides of the equation by -2.
x + 2 = 30
x = 30 - 2
x = 28
Answer : C ) 28° 
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