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olya-2409 [2.1K]
3 years ago
8

Using f(x)=2x^2 and g(x)=3x+4. whats (g of f)(5)? whats (f of g)(5)?​

Mathematics
1 answer:
3241004551 [841]3 years ago
7 0

Answer:

f(g(x)) = 722, and g(f(x)) = 154

Step-by-step explanation:

f(x) = 2x²

g(x) = 3x + 4

g(f(x)) = 3(2x²) + 4

g(f(5)) = 3(2 × 5²) + 4

g(f(5)) = 3(2 × 25) + 4

g(f(5)) = 3 × 50 + 4

g(f(5)) = 154

f(g(x)) = 2(3x + 4)²

f(g(5)) = 2(3 × 5 + 4)²

f(g(5)) = 2 × 19²

f(g(5)) = 2 × 361

f(g(5)) = 722

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The equation of a circle is x^2 + (y - 10)^2 = 16. What is the radius and center?
gizmo_the_mogwai [7]

Answer:

Center = (0, -10)

Radius = 4 units

Step-by-step explanation:

x^2 + (y - 10)^2 = 16\\(x-0)^2 + (y - 10)^2 = 4^2\\Equating\: it \: with\: \\(x-h)^2 + (y - k)^2 = r^2\\We\: find:\\-h = 0\implies h = 0\\-k = -10\implies k = 10\\Center = (-h,\:-k) \\Center = (0,\:-10) \\r^2 = 4^2\implies r = 4\\Radius = 4\:units

8 0
3 years ago
Help on math! First correct answer will get brainliest answer
pshichka [43]

Let's look at the terms of the sequence for different values of n, starting from 0.

a₀ = 0/1 = 0

a₁ = 1/(1 +1) = 1/2

a₂ = 2/(2 + 1) = 2/3

a₃ = 3/(3 + 1) = 3/4

a₄ = 4/5

a₅ = 5/6

a₆ = 6/7

a₇ = 7/8

a₈ = 8/9

a₉ = 9/(9+1) = 9/10

a₁₀ = 10/(10+1) = 10/11 and so on

Let's look at the terms. As n gets bigger the terms gets closer to 1. We started with 0, then to one half, then two thirds, and as we get larger and larger, the terms are getting closer to 1. Let's choose a really big n and see.

a₉₉₉ = 999/(999 + 1) = 999/1000

Or an even bigger n:

a₉₉₉₉₉₉₉₉₉ = 999999999/(999999999 + 1) = 999999999/1000000000ⁿ

So as n gets really really large - and close to infinity - the terms get closer to 1.

7 0
4 years ago
What is the correct answer?​
Nutka1998 [239]

Answer:

D) 8

Step-by-step explanation:

You multiply 10 by 12 to get 120 so you multiply x by 12 to get 96.

96 = 12x

/12     /12

8   =   x

5 0
4 years ago
Could some one help me pls :/
bixtya [17]

Answer:

What do you need help with?

Step-by-step explanation:

8 0
3 years ago
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3x = 1/9 what is x<br> Please respond quick
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3 years ago
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