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son4ous [18]
2 years ago
6

given f(x)=2x^2 and g(x)=4x-5, the composition f(g(x)) is equal to 32x^2-80 x+53 now find an expression for g(f(x))

Mathematics
2 answers:
Sloan [31]2 years ago
8 0

Answer:

g(f(x)) = 8x^2 + 7

The answer for the second question is commutative.

Step-by-step explanation:

On Edge

puteri [66]2 years ago
5 0
F(x) is most likely the f(f(x)x) where f(x) is g(x))f)) and composition can be 69 + 46 which is the total of 137
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The ratio of Monarch butterflies to Queen butterflies at a butterfly farm was 9:7. If there are no additional butterflies at the
OLEGan [10]
To find the total number of butterflies we add 9 and 7, which equals 16 butterflies in all. Then we take the queen butterfly part of the ratio, which is 7 and compare it with the total number of butterflies to get the ratio 7:16.
7 0
3 years ago
The length of the garden is 10 feet more than twice its width. The perimeter of the garden is 170 feet.
kumpel [21]

Answer:

Width is 25 ft

length is 60 ft

Step-by-step explanation:

Here, we want to calculate the length and width of the garden

From the question, we are told that the length is 10 ft more than twice its width

So if the width is x ft

Length = 2x + 10

Mathematically, the perimeter of a rectangle i s 2(l + b)

So;

2(x + 2x + 10) = 170

2(3x + 10) = 170

3x + 10 = 85

3x = 85-10

3x = 75

x = 75/3

x = 25 ft

length is;

2(25) + 10 = 50 + 10 = 60 ft

8 0
3 years ago
I have a question that has already been answered. I just need someone to please explain the steps.
Jobisdone [24]

Answer:

Step-by-step explanation:

Using brackets will really help.

y = (x^2 + 4x + ... ) - 5       You are trying to complete the square. The square in this case is a trinomial that is squared.

To do that, you take 1/2 the linear term (4x)/2, drop the x (4/2), and square the result (4/2)^2. The number is 2^2 which is 4.

So far what you have is

y = (x^2 + 4x + 4) - 5  

Now you just can't add 4 without adjusting it somehow. If you do, the whole question will change it's value. Because you added 4 inside the brackets, you must subtract 4 outside the brackets.

What that means is 4  inside - 4 outside. So it looks like this

y = (x^2 + 4x + 4) - 5 - 4

Now you continue on

y = (x + 2)^2 - 9  The 4 combines with the 5 to make nine.

8 0
2 years ago
Factor completely 8y^3 + 16y^2
Vlad1618 [11]

Answer:

8y^2 (y+2)

Step-by-step explanation:

8y^3 + 16y^2

both terms contain an 8 and a y^2 so we can factor them out

8y^2 (y+2)

3 0
3 years ago
Read 2 more answers
12 people can be of 30 chairs in eight hours how many chairs candy people build in 100 hours
ruslelena [56]
Hello!

Divide the amount of chairs (30) that 12 people can build by the number of hours (8) it takes to build them, to find out how many chairs they make per hour.

30 ÷ 8 = 3.75

This means that they make they make 3.75 chairs per hour. Multiply this by 100 hours.

3.75 × 100 = 375

ANSWER:

The people can build D. 375 chairs in 100 hours.
7 0
3 years ago
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