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Blababa [14]
3 years ago
6

Is g(x)= (x-2)(x-9)(x-1) the factored form of f(x)=x^3+8x^2-11x-18

Mathematics
1 answer:
strojnjashka [21]3 years ago
5 0

We can check to see if (x - 2)(x - 9)(x - 1) is the factored form of x^3 + 8x^2 - 11x - 18 by using foil.

(x - 2)(x - 9)(x - 1)

(x - 2)x^2 - x - 9x + 9

Combine like terms.

(x - 2)x^2 - 10x + 9

FOIL again.

x^3 - 10x^2 + 9x - 2x^2 + 20x - 18

Combine like terms.

x^3 - 12x^2 + 29x - 18

<h3><u>The listed factors are not true factors of the given polynomial.</u></h3>
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15% of R560 - 15% of R500

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8 0
3 years ago
A philanthropist pledges to donate 10% of a fund each year. If the fund initially has $450,000 how much will
Ann [662]

After 7 years fund balance will be $2152336.05 if the philanthropist pledges to donate 10% of a fund each year.

<h3>What is an exponential function?</h3>

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent. \rm y = a^x

where a is a constant and a>1

We have:

A philanthropist pledges to donate 10% of a fund each year.

We can find the amount left after 7 years as follows:

A = 450000(1 - 0.1)⁷

10% of a fund each year.

Rate r = 10% = 0.1

A = 450000(0.9)⁷

A = $2152336.05

Thus, after 7 years fund balance will be $2152336.05 if the philanthropist pledges to donate 10% of a fund each year.

Learn more about the exponential function here:

brainly.com/question/11487261

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6 0
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There are 8 pencils in a package. How many packages will be needed for 28 children if each child gets 4 pencils?
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Combine like terms y+4+5(y+8)
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Step-by-step explanation:

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