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erastovalidia [21]
3 years ago
11

Given the functions f(x) = 7x + 13 and g(x) = x^2 + 2, which of the following functions represents f[g(x)] correctly?

Mathematics
1 answer:
Paladinen [302]3 years ago
8 0

Answer:

f(g(x)) = x^2 + 27.

Step-by-step explanation:

To find f(g(x))  we replace the x in  f(x) by g(x) and simplify:

f(g(x)) =   7(x^2 + 2) + 13

= 7x^2 + 14 + 13.

= 7x^2 + 27.

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Which is the best first step when solving the following system of equations? x + y = 3. 4 x minus y = 7. Multiply the first equa
Kryger [21]

Answer:

Multiply the first equation by 4.

Step-by-step explanation:

4(x+y=3) which gives

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and

4x-y=7

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What is the square root of 3/2 in fraction form?
V125BC [204]
The answer is square root 6/2
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Find the greatest number that divides451, 328 and 673 leaving 1, 4 and 1,respectively as remainders.
Vesna [10]

You're looking for the largest number <em>x</em> such that

<em>x</em> ≡ 1 (mod 451)

<em>x</em> ≡ 4 (mod 328)

<em>x</em> ≡ 1 (mod 673)

Recall that

<em>x</em> ≡ <em>a</em> (mod <em>m</em>)

<em>x</em> ≡ <em>b</em> (mod <em>n</em>)

is solvable only when <em>a</em> ≡ <em>b</em> (mod gcd(<em>m</em>, <em>n</em>)). But this is not the case here; with <em>m</em> = 451 and <em>n</em> = 328, we have gcd(<em>m</em>, <em>n</em>) = 41, and clearly

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4 0
3 years ago
How long is the tape for 30 mins
Lerok [7]

Answer:

0.016

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If the population of a particular country is growing at 3.2 % compounded​ continuously, how long will it take the population to
Lisa [10]

Answer:

It will take 34.33

Step-by-step explanation:

* Lets talk about the compound continuous growing

- Compound continuous growing can be calculated using the formula:

 A=Pe^{rt}

# A = the future value

# P = the initial amount

# r = the growing rate  in decimal

# t = the time

* Lets solve the problem

- The population of a particular country is growing at 3.2 %

 compounded​ continuously

∴ r = 3.2/100 = 0.032

- We need to find how long will it take the population to triple​

∵ The initial population is P

∴ A = 3P

∵ A=Pe^{rt}

∴ 3P=Pe^{0.032t}

- Divide both sides by P

∴ 3=e^{0.032t}

- Insert ㏑ for both sides

∴ ln(3)=ln(e^{0.032t})

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∴ ㏑(3) = 0.032t

- Divide both sides by 0.032

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8 0
3 years ago
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