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sergij07 [2.7K]
3 years ago
15

9. Given f(x) = 7x2 and g(x) = x +1, find f(g(x)). SHOW ALL WORK.

Mathematics
2 answers:
Nezavi [6.7K]3 years ago
8 0

I hope this helps you

f(g(x)) =f(x+1)=7(x+1)^2

f(x+1)=7.(x^2+2x+1)

f(x+1)=7x^2+14x+7

statuscvo [17]3 years ago
5 0

f(g(x)) simply means g(x) is substituted for x in f(x)=7x^2

Since g(x)=x+1, then f(x)=7(x+1)^2

f(x)=7(x^2+2x+1)

f(x)=7x^2+14x+7

So f(g(x))=7x^2+14x+7

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2. Find the area of the shaded region. Express your answer in terms of
In-s [12.5K]

Answer:

Step-by-step explanation:

Find the area of the rectangle. A = length * width

Find the area of each circle.   A = π*radius*radius

Subtract the area of each circle from the area of the rectangle.

A = length * width

A = (3+6+9+12) * 18

A = 30 * 18

A = 540 square inches

Bottom circle

A = π * radius * radius.  (radius is 1/2 of the diameter)

A = 3.14 * 6 * 6

A = 133.04 square inches

Middle circle

A = π * radius * radius

A = 3.14 * 4.5 * 4.5

A = 63.59 square inches

Top circle

A = π * radius * radius

A = 3.14 * 3 * 3

A = 28.26 square inches

Subtract the circles from the rectangle.

540 - 133.04 - 63.59 - 28.26 = 315.11 square inches is the area of the shaded part.

8 0
2 years ago
Find area of triangle whose base is 2 √3 and height is 3 √3
Lera25 [3.4K]
Area of a triangle = base times height
A = 2√3 times 3√3
A = 18
The answer is 18
Hope that helps
7 0
3 years ago
Whats6/24 in simplest form
MakcuM [25]
Count by 6 so 6×4 is 24 so 1/4
8 0
3 years ago
Read 2 more answers
Find the next two numbers in the pattern<br><br> 12500, -2500, 500, -100,...
astraxan [27]
The pattern first of all is divide the number by -5. (12500/ -5 = -2500, and so on) Since we know that, you divide -100 by -5 which gets you 20, then 20 by -5 which gets you -4.

The next two numbers are 20, and -4

Hope this helps!
7 0
3 years ago
Worth lot of points :))))
maxonik [38]

Step-by-step explanation:

slope = (y2 - y1)/(x2 - x1)

-4/3 = (6 - y)/[4-(-2)]

-4/3 = (6-y)/6

(-4/3)×6 = 6-y

-8 = 6-y

y = 6 + 8

= 14

7 0
3 years ago
Read 2 more answers
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