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3 years ago

Describe and correct the error in the factoring polynomial. x^2+4x-96=(x-12)(x+8)

Mathematics

1 answer:

torisob [31]3 years ago

5 0

Answer:

100.03

Step-by-step explanation:

i think it is correct

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75% of the students are boys. There are 24 boys. What is the total number of students?

hram777 [196]

There are 32 students.

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2 years ago

Read 2 more answers

I need help asap someone please help me i dont understand this question so can someone help me

eduard

Answer:

we conclude that:

$\frac{2p}{4p^2-1}\div \frac{6p^3}{6p+3}=\frac{1}{2p^3-p^2}$

Step-by-step explanation:

Given the expression

$\frac{2p}{4p^2-1}\div \frac{6p^3}{6p+3}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}$

$=\frac{2p}{4p^2-1}\times \frac{6p+3}{6p^3}$

$=\frac{2p}{4p^2-1}\times \frac{2p+1}{2p^3}$

$\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}$

$=\frac{2p\left(2p+1\right)}{\left(4p^2-1\right)\times \:2p^3}$

cancel the common factor: 2

$=\frac{p\left(2p+1\right)}{\left(4p^2-1\right)p^3}$

cancel the common factor: p

$=\frac{2p+1}{p^2\left(4p^2-1\right)}$

$=\frac{2p+1}{p^2\left(2p+1\right)\left(2p-1\right)}$

cancel the common factor: 2p+1

$=\frac{1}{p^2\left(2p-1\right)}$

Expanding

$=\frac{1}{2p^3-p^2}$

Thus, we conclude that:

$\frac{2p}{4p^2-1}\div \frac{6p^3}{6p+3}=\frac{1}{2p^3-p^2}$

7 0

3 years ago

Explain how solving $2x<-8$ is different from solving $-2x<8$ .

miv72 [106K]

Answer:

When we divide by a negative value, the sign for the inequality changes.

Step-by-step explanation:

2x < -8, to solve we would divide by 2 and receive x < -4. However, in solving -2x < 8, we would divide by negative 2, which would result in x > -4. Clearly, these sequences provide opposite answers and that is a rule to inequalities, that when dividing by a negative number, we must flip the less than/greater than sign.

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3 years ago

Study the table representing the price of different amounts of apples, in pounds, and then complete the sentences. The constant

stellarik [79]

Answer: the first part is 1.25. The second part is y=1.25x

Step-by-step explanation: edge 2021

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3 years ago

There were 60 ducks living in a pond. If the number living at the pond increased by 30%, how many ducks now live at the pond?

timama [110]

Answer:

Step-by-step explanation:

You take the original total: 60, and multiply it by 30 to get 1,800. You then divide 1,800 by 100 to get 18. 18 is your 30%. Now, you add the 30% to 60 getting your total number of ducks: 78.

The equation version:

$\frac{a}{60} = \frac{30}{100}$

It is just proportions.

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3 years ago

Describe and correct the error in the factoring polynomial. x^2+4x-96=(x-12)(x+8)​

Describe and correct the error in the factoring polynomial. x^2+4x-96=(x-12)(x+8)