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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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3 years ago
There are 7 women and 9 men if 2 are promoted what is the probability they are both men
Artist 52 [7]

Answer:

3/10

Step-by-step explanation:

Total number of employees = 7 + 9 = 16

Probability of a man being chosen first to be promoted = 9/16

Probability of the second choice is still a man for promotion = 8/15

Why 8/15?

The number of men left who are eligible for promotion after the 1st man was chosen for promotion is 9 - 1 = 8

The total number of people left after the 1st person is chosen for promotion that are eligible for promotion is 16 - 1 = 15

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3 years ago
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Step-by-step explanation:

5 0
3 years ago
Identify the domain of the function shown in the graph
Brut [27]

Using it's concept, the domain of the function shown in the graph is:

B. -6 \leq x \leq 6.

<h3>What is the domain of a function?</h3>

The domain of a function is the set that contains all possible input values for the function. In a graph, the domain is the set that contains all values of x.

From this graph, the function is defined for values of x between -6 and 6, hence the domain is given by:

B. -6 \leq x \leq 6.

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6 0
2 years ago
Please Help Me! It’s Math! Please!
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Answer:

D. About 800 years

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Use the half-life equation:

A = A₀ (½)ⁿ

where A is the final amount,

A₀ is the initial amount,

and n is the number of half-lives.

0.90A₀ = A₀ (½)ⁿ

0.90 = (½)ⁿ

To solve for n, take log of both sides:

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0.152 × 5730 years = 871 years

The closest answer is D.

8 0
3 years ago
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