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2 years ago

Determine if x=-16 is a zero & find the quotiant and the remainder

Mathematics

1 answer:

DerKrebs [107]2 years ago

3 0

Answer:

○ A. No, x = -16 is not a zero of the polynomial.

The quotient is x² - 2x + 83, and the remainder is -1274.

Step-by-step explanation:

This is not a zero. When set to equal zero, you get these roots: -2, -3, -9. Now, about the the Remainder Theorem, I have not been taught this, but just by looking at it, I come across this as the remainder.

I am joyous to assist you anytime.

* I cross my fingers for it to be correct!

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Please answer this question

max2010maxim [7]

As it is given :

Present age of mom : Present age of son = 6 : 1

Therefore let :

Mother's age be 6x

Son's age be x

Ages after 10 year :

Mom's age = 6x + 10

Son's age = x + 10

<h3>Part three :</h3>

The ages after 10 years are given in rational of 8 : 3.

Which means :

Mom's age after 10 years : Son's age after 10 years = 8 :3.

Now :

$\scriptsize \purple{ \boxed{ \scriptsize \dfrac{ \text{Mom's age after 10 years}}{ \text{son's age after 10 years}}= \dfrac{8}{3} }} \star$

$\\ \\$

So :

$\small\sf \dashrightarrow \dfrac{6x + 10}{x + 10} = \sf \dfrac{8}{3}$

$\\ \\$

$\small\sf \dashrightarrow \dfrac{3(6x + 10)}{x + 10} = \sf \dfrac{8}{1}$

$\\ \\$

$\small \sf \dashrightarrow \dfrac{18x +30}{x + 10} = \sf \dfrac{8}{1}$

$\\ \\$

$\small\sf \dashrightarrow \dfrac{18x +30}{1} = \sf \dfrac{8(x + 10)}{1}$

$\\ \\$

$\small \sf \dashrightarrow 18x +30= \sf 8(x + 10)$

$\\ \\$

$\small\sf \dashrightarrow 18x +30= \sf 8x + 80$

$\\ \\$

$\small\sf \dashrightarrow 18x - 8x +30= \sf 80$

$\\ \\$

$\small \sf \dashrightarrow 10x +30= \sf 80$

$\\ \\$

$\small \sf \dashrightarrow 10x = \sf 80 - 30$

$\\ \\$

$\small \sf \dashrightarrow 10x = \sf 50$

$\\ \\$

$\small \sf \dashrightarrow \dfrac{10x}{10} = \sf \dfrac{50}{10}$

$\\ \\$

$\small \sf \dashrightarrow \dfrac{1\cancel0x}{1\cancel0} = \sf \dfrac{5\cancel0}{1\cancel0}$

$\\ \\$

$\small\bf \dashrightarrow x = \pink 5$

$\\$

We know :

$\footnotesize \hookrightarrow \sf Son's \: age = x$

$\footnotesize \hookrightarrow \sf Son's \: age = \red{5 \: years}$

$\\ \\$

$\footnotesize \hookrightarrow \sf Mother's \: age = 6x$

$\footnotesize\hookrightarrow \sf Mother's \: age = 6 \times 5$

$\footnotesize \hookrightarrow \sf Mother's \: age = \bf \red{30 \: years}$

And all we are done ! ㋛

4 0

2 years ago

Factor: 6x^2 + 11x + 3<br><br> Write each factor in standard form.

yKpoI14uk [10]

The answer is: (2x+3) (3x+1)

8 0

2 years ago

Gage's math teacher entered the seventh-grade student in a math competition. There was an enrollment fee of $30 and also $11 cha

Amanda [17]

Answer:

110 test

Step-by-step explanation:

Let

x ----> the number of packet of 10 test

y ----> the total cost

we know that

The number of packet of 10 test purchase multiplied by $11 plus the enrollment fee of $30 must be equal to $151

The linear equation that represent this scenario is

$y=11x+30$

we have

$y=\$151$

substitute

$151=11x+30$

Solve for x

subtract 30 both sides

$11x=151-30$

$11x=121$

Divide by 11 both sides

$x=11$

The number of packets purchase was 11

To find out the number of test, multiply the number of packets by 10

$11(10)=110\ test$

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2 years ago

What is the proportional relationship represented by this table?

77julia77 [94]

Answer:

the constant of proportionality is 0.2 and it is a proportional relationship

Step-by-step explanation:

2 divided by 10 is 0.2

1 divided by 5 is 0.2

they have the same answer so they are proportional

since they have the answer 0.2 it

is there constant of proportionality

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2 years ago

Mr. Simpson deposits his money in a savings account at the Springfield Bank. Would he earn more money with simple interest or wi

allochka39001 [22]

Answer:

THE ANSWER IS D

Step-by-step explanation:

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3 years ago

Determine if x=-16 is a zero & find the quotiant and the remainder​

Determine if x=-16 is a zero & find the quotiant and the remainder