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Mariana [72]
3 years ago
6

Find the complete factored form of the polynomial -44a^3 + 20a^6

Mathematics
1 answer:
irakobra [83]3 years ago
4 0

Answer:

4a^3(5a^3-11)

Step-by-step explanation:

→Take out the GCF (Greatest Common Factor). The GCF is 4a^3 because both -44a^3 and 20a^6 can be divided by it, like so:

-44a^3+20a^6

4a^3(5a^3-11)

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PLEASE HELP ASAP
maria [59]

Answer:

First option:  3x^2-5x=-8

Second option: 2x^2=6x-5

Fourth option: -x^2-10x=34

Step-by-step explanation:

Rewrite each equation in the form ax^2+bx+c=0 and then use the Discriminant formula for each equation. This is:

D=b^2-4ac

1) For 3x^2-5x=-8:

 3x^2-5x+8=0

Then:

D=(-5)^2-4(3)(8)=-71

Since D this equation has no real solutions, but has two complex solutions.

2) For 2x^2=6x-5:

 2x^2-6x+5=0

Then:

D=(-6)^2-4(2)(5)=-4

Since D this equation has no real solutions, but has two complex solutions.

3) For 12x=9x^2+4:

 9x^2-12x+4=0

Then:

D=(-12)^2-4(9)(4)=0

Since D=0 this equation has one real solution.

4) For -x^2-10x=34:

 -x^2-10x-34=0

Then:

D=(-10)^2-4(-1)(-34)=-36

Since D, this equation has no real solutions, but has two complex solutions.

3 0
3 years ago
Mean for 16, 12, 13, 22
pishuonlain [190]

Answer:

mean = sum of the terms/total no. of terms

mean = (16+12+13+22)/4

mean = 63/4 or 15.75

6 0
3 years ago
Read 2 more answers
Henry had 2.5 lb of apples for a fruit salad. The recipe says that 5 lb of apples are needed for the salad. Henry went to the st
svetoff [14.1K]
<span> C. No, Henry did not get a reasonable amount of apples because he needed 2.5 more pounds of apples (2.5 + 2.5 = 5).

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8 0
3 years ago
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Jade says that the absolute value of a number and the opposite of a number is the same thing. Is Jade correct? Use examples to h
avanturin [10]

Answer:

No, the absolute value of a number is different from the opposite.

Step-by-step explanation:

For example, the absolute value of 4 is 4.

l4l = 4

But the opposite of 4 is -4.

Absolute value is ALWAYS positive, but the opposite of a positive number is a negative number.

8 0
3 years ago
Over the last 2.5 years, the water level in a lake has changed by -0.3 feet per year. Scientists predict that the water level wi
klio [65]

Answer:

Step-by-step explanation:

A)

"In the last 2.5 years, the water level has decreased 0.75 feet."

In the very first statement it has been stated that over the last 2.5 years, the water level in a lake has changed by -0.3 feet per year. That means in the last 2.5 years , total decrease in level is as follows

2.5 x - 0.3 = - .75 ft .

So the statement is true.

B)

"The overall change of the water level after 7.5 years will be -2.75 feet."

This statement appears to be false based on information provided

No prediction regarding rate of decrease for a period beyond 5 year  has been made so any statement with respect to a timeline of 7.5 years may turn out to be false.

C)

"The change in water level each year for the next 5 years will be -0.4 feet. "

This statement prima-facie appears to be true  because rate of decrease stated in the statement is 0.4 ft /year for next 5 years .

D )

"The overall change in water level for the next 5 years is equal to 5(0.4)"

this statement is true

as change in one year = .4

change in 5 years = 5 x .4

5 0
3 years ago
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