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3 years ago

Divide the 4th degree polynomial

Mathematics

1 answer:

iragen [17]3 years ago

4 0

Answer:

quotient: 10x +16
remainder: 28x^2 +10x +22

Step-by-step explanation:

The attachment shows the steps.

quotient: 10x +16

remainder: 28x^2 +10x +22

_____

Polynomial long division is easier than numerical long division because you only need to examine the first terms to determine the quotient term.

The first quotient term is 10x^4/x^3 = 10x.

The second quotient term is 16x^3/x^3 = 16.

When the leading dividend term is lower degree than the divisor, that dividend is the remainder.

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sweet-ann [11.9K]

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Answer:

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3 years ago

PLEASE SHOW WORK A coffee distributor needs to mix a(n) Gualtemala Antigua coffee blend that normally sells for $10.30 per pound

Katarina [22]

Answer:

23 pounds of the Gualtemala Antigua Blend and 37 pounds of the Tanzanian Blend

Step-by-step explanation:

you need to make a system of equations to solve this.

First lets make x be the pounds of Gualtemala Antigua coffee blend and y the pounds of Tanzanian coffee blend

we know we need 60 pounds total so first equation is

x+y=60

Next we will make an equation based on the money information

10.30x + 13.80y = 12.46(60)

10.30x + 13.80y = 747.60

So our system of equations is

x + y = 60

10.30x + 13.80y = 747.60

I will solve this by using substitution. first rewrite x+y=60 to y=60-x

now i can substitute that into the other equation for y and solve for x

10.30x + 13.80(60-x) = 747.60

10.30x + 828 -13.80x = 747.60

-3.5x + 828 = 747.60

-3.5x = -80.4

x = 23 (rounded from 22.9714 since they requested that)

now I can use this solution to solve for y by plugging into one of the original equations

x + y =60

23 + y =60

y = 37

Finally we can say that they must mix 23 pounds of the Gualtemala Antigua Blend and 37 pounds of the Tanzanian Blend.

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3 years ago

Given that cos 42° ~ 0.743, what is the sine of the complementary angle?

podryga [215]

Cos<span> 42° ~ 0.743

cos 42° = sin(90-42) = sin 58°

So sine of complementary angle also has same value as cos 42.
So sin 58 ~ 0.743
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3 years ago