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Radda [10]
1 year ago
7

Just need help on 29

Mathematics
1 answer:
luda_lava [24]1 year ago
6 0

Answer:

b.is the answer to your question

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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
3 years ago
A space shuttle orbits earth one time in 90 minutes how many times does it orbit earth in six hours
SOVA2 [1]
60 minutes=1 hour
360 minutes=6 hours
so 360 minutes/90 minutes

so your answer is 4 hours
4 0
3 years ago
Read 2 more answers
What type of triangle has no congruent sides and one angle that has a measure greater than 90° but less than 180°?
ololo11 [35]

Answer:

D as it is the obtuse

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
The width of a rectangle is y feet long. The rectangle is 4 feet longer than it is wide. What is the area of the rectangle? Whic
nikitadnepr [17]

Answer:

y²+4y

Step-by-step explanation:

y multiplies with (y+4)

y times y is y²

y times 4 is 4y

That leaves you with y²+4y

8 0
3 years ago
Read 2 more answers
What number would represent the outlier in the following set of data?
STatiana [176]

Answer:

An outlier is the number that is much smaller or larger than the other numbers.

In this case it is 29 :)

5 0
3 years ago
Read 2 more answers
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