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e-lub [12.9K]
2 years ago
11

If f(x)=x^2-5 and g(x)=6x then g(f(x)) is equal to

Mathematics
2 answers:
Olenka [21]2 years ago
7 0
Plug f(x) as x in g(x) and you get 6(x^2-5), which is g(f(x)) = 6x^2-30.
Romashka-Z-Leto [24]2 years ago
3 0
G(x) = 6x 

<span>g(f(x)) </span>
<span>= 6((x^2) - 5) </span>
<span>= (6x^2) - 30 
</span>
so its equal to
<span>(6x^2) - 30</span>
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Find the x-coordinate of Q' after Q(-2. 5) was reflected over the line y = -x + 4.
Alina [70]
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3 0
2 years ago
A game designer must decide how to color four buildings that are in a row. Using only the colors yellow, green, red, and blue, e
topjm [15]

Answer:

The number of ways are there to paint the four buildings is 48.

Step-by-step explanation:

I) let the first building be any color. Therefore the first building can be painted with any of the 4 colors.

Therefore the first building can be colored in 4 ways.

ii) the second building can be colored in 3 ways since it cannot be colored the

same color as the first building.

iii) the third building can also be colored in 3 ways.

iv) the last building can be colored in 2 ways because it cannot be the same color as the first building or the color of the adjacent building.

Therefore the total number of ways the buildings can be colored = 4 \times 3 \times 3  \times 2 = 48.

7 0
3 years ago
24 is 31.25% of what number? Prove your answer in the show your workbox.
FinnZ [79.3K]

Answer:

76.8

Step-by-step explanation:

1. We assume, that the number 31.25 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 31.25, so we can write it down as 100%=31.25.

4. We know, that x% equals 24 of the output value, so we can write it down as x%=24.

5. Now we have two simple equations:

1) 100%=31.25

2) x%=24

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=31.25/24

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24 is what percent of 31.25

100%/x%=31.25/24

(100/x)*x=(31.25/24)*x       - we multiply both sides of the equation by x

100=1.3020833333333*x       - we divide both sides of the equation by (1.3020833333333) to get x

100/1.3020833333333=x

76.8=x

x=76.8

now we have:

24 is 76.8% of 31.25

6 0
3 years ago
Read 2 more answers
What does 12A equal?
lozanna [386]
<span><span>4a+6b=10 
4a=10-6b 
a=(10-6b)/4 
a=(5-3b)/2 
</span>
<span>2a-4b=12 
2((5-3b)/2)-4b=12 
(5-3b)-4b=12 
5-7b=12 
-7b=7 
b=-1
</span>
<span>2a-4b=12 
2a-4(-1)=12 
2a+4=12 
2a=8 
a=4 

a=4, b=-1 </span>

12a=48</span>
7 0
3 years ago
Read 2 more answers
What is the mean absolute deviation of 10 16 18 15 15 10 23
grigory [225]
The answer is 3.1428 (very close to π actually lol)



4 0
3 years ago
Read 2 more answers
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