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miss Akunina [59]
2 years ago
7

Please help it's due in a few minutes

Mathematics
1 answer:
kow [346]2 years ago
7 0

Answer:

Step-by-step explanation:

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Step-by-step explanation:

Make sure to see the photo I tried to explain every part there

4 0
2 years ago
For all values of x
Yuliya22 [10]

Answer:

A.) gf(x) = 3x^2 + 12x + 9

B.) g'(x) = 2

Step-by-step explanation:

A.) The two given functions are:

f(x) = (x + 2)^2 and g(x) = 3(x - 1)

Open the bracket of the two functions

f(x) = (x + 2)^2

f(x) = x^2 + 2x + 2x + 4

f(x) = x^2 + 4x + 4

and

g(x) = 3(x - 1)

g(x) = 3x - 3

To find gf(x), substitute f(x) for x in g(x)

gf(x) = 3( x^2 + 4x + 4 ) - 3

gf(x) = 3x^2 + 12x + 12 - 3

gf(x) = 3x^2 + 12x + 9

Where

a = 3, b = 12, c = 9

B.) To find g '(12), you must first find the inverse function of g(x) that is g'(x)

To find g'(x), let g(x) be equal to y. Then, interchange y and x for each other and make y the subject of formula

Y = 3x + 3

X = 3y + 3

Make y the subject of formula

3y = x - 3

Y = x/3 - 3/3

Y = x/3 - 1

Therefore, g'(x) = x/3 - 1

For g'(12), substitute 12 for x in g' (x)

g'(x) = 12/4 - 1

g'(x) = 3 - 1

g'(x) = 2.

5 0
2 years ago
12,548 rounded to the nearest thousand and 4,685 rounded to the nearest thousand​
ehidna [41]

Answer:

12,548 rounded to the nearest thousand is 13,000 and 4,685 rounded to the nearest thousand is 5,000

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Little Joey can finish carpeting ½ of a room in ¼ of an hour. At this rate, how many rooms can he carpet in 1 hour?
mezya [45]

Answer:

2 rooms

Step-by-step explanation:

1/2 divided by 1/4 is 2

2 times 1 = 2

Answer - 2

5 0
2 years ago
What is the standard form of the following equation:
Damm [24]

Answer:

My answer is D) y = 2(x - 2.5)^2 + 6

I hope it helps


7 0
2 years ago
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