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lions [1.4K]
3 years ago
8

If f(x) = 3x^2- 1 and g(x) = 4x + 2, then what is g(f(x))?

Mathematics
1 answer:
katrin2010 [14]3 years ago
3 0

Answer:

g(f(x) = 12x^2-2

Step-by-step explanation:

solution:

given,

f(x)=3x^2-1

g(x)=4x+2

g(f(x)=?

here,

g(f(x) = g(3x^2-1) [put the value of f(x) given]

=4(3x^2-1)+2 [ now put the value of g(x) and in the place of x put 3x^2-1]

=12x^2-4+2 [ by multiplying 4(3x^2-1) ]

= 12x^2-2 ans..

So g(f(x)=12x^2-2

hope its helps , I tried my best to explain there

hope you understand it as i am terrible at explaining like this ...

have a good time(•‿•)

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tigry1 [53]

Answer:

The graduate will have $4,084.97 when he cashes in the CD at the end of the 36-months.

Step-by-step explanation:

This can be determined using the formula for calculating the future value (FV) formula as follows:

FV = PV * (1 + r)^n ................................. (1)

Where;

FV = Future value or the amount the graduate will have at end of 36 months = ?

PV = Present value or the total amount invested = Cash gifts from friends and relatives + Amount of 3 scholarships he received = $900 + $250 + $300 + $1,400 = $2,850

r = daily interest rate = 1% / 360 = 0.01 / 360 = 0.0000277777777777778

n = number of days = 36 months * 360 days = 12,960

Substituting the values into equation (1), we have:

FV = $2,850 * (1 + 0.0000277777777777778)^12,960

FV = $2,850 * 1.43332224806396

FV = $4,084.96840698229

Approximating to the nearest cent as required, we have:

FV = $4,084.97

Therefore, the graduate will have $4,084.97 when he cashes in the CD at the end of the 36-months.

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If a 60 year old buys a $1000 life insurance policy at a cost of $50 and has a probability of 0.954 of living to age 61 find the
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Answer:

The expectation of the policy until the person reaches 61 is of -$4.

Step-by-step explanation:

We have these following probabilities:

0.954 probability of a loss of $50.

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Find the expectation of the policy until the person reaches 61.

Each outcome multiplied by it's probability, so:

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The expectation of the policy until the person reaches 61 is of -$4.

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Answer:

D

Step-by-step explanation:

Remember how absolute values turn everything inside of it into a positive number? Like |-4|=4 and |4|=4 as well.

Well, it works the same for equations.

When you have an absolute value equation like this, you have to split it into two parts.

The positive version

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and the negative version

|-(d-3.5)| ≤ 1.5

solve for the value of d in both equation.

<em>Remember that you have to flip the inequality sign when dividing or multiplying by a negative number</em>

I assume you know how to graph the inequality once you get the value for d.

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