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1 year ago

A person wants to purchase a pair of shoes and some pairs of socks. He has less than $121 to

Mathematics

1 answer:

lapo4ka [179]1 year ago

4 0

the answer is 11

first you need to subtract 30 from 121 since you want one pair of shoes

then to know how many socks you can have divide 91 (the result) and 8 (the price of the socks)

and you can only buy 11

(the more detailed answer is 11.375)

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alexandr402 [8]

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3 years ago

Identify each function that has a remainder of -3 when divided x+6

Sergeu [11.5K]

Answer:

Step-by-step explanation:

According to remainder theorem, you can know the remainder of these polynomials if you plug in x = -6 into them.

So we will plug in -6 into x of all the polynomials ( A through D) and see which one equals -3.

For A:

$x^5 + 2x^2 - 30x + 30\\=(-6)^5 + 2(-6)^2 - 30(-6) + 30\\=-7494$

For B:

$x^4 + 4x^3 - 21x^2 - 53x + 12\\=(-6)^4 + 4(-6)^3 - 21(-6)^2 - 53(-6) + 12\\=6$

For C:

$x^3 - 10x^2 - 7\\=(-6)^3 - 10(-6)^2 - 7\\=-583$

For D:

$x^4 + 6x^3 - 10x - 63\\=(-6)^4 + 6(-6)^3 - 10(-6) - 63\\=-3$

The only function that has a remainder of -3 when divided by x + 6 is the fourth one, answer choice D.

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2 years ago

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(sin x)(tan x cos x - cot x cos x) = 1 - 2 cos2x

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