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2 years ago

Factor out the following: -x^5+9x^3

Mathematics

2 answers:

blagie [28]2 years ago

7 0

Answer:

-x^3(x - 3)(x + 3).

Step-by-step explanation:

-x^5+9x^3

the greatest common factor = x^3 so we can write it as

x^3(-x^2 + 9)

= -x^3(x^2 - 9)

The expression in the parentheses is the difference of 2 squares so we have:

-x^3(x - 3)(x + 3) Answer.

rosijanka [135]2 years ago

4 0

Answer:

x^3(-x+3)(x+3)

Step-by-step explanation:

-x^5 + 9x^3

factor out x^3

x^3(-x^2+9)

9 and -x^2 are perfect squares so we can factor out a 3 and an x to get (-x+3)(x+3)

the fully factored form would be x^3(-x+3)(x+3)

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The yield of strawberry plants depends on the amount of fertilizer fed to the plants. Agricultural research shows that an acre o

kifflom [539]

Answer:

$792\ \text{pounds}$

Step-by-step explanation:

$x_1=70$ cubic feet of fertilizer is used in $y_1=770$ pounds of strawberries

$x_2=90$ cubic feet of fertilizer is used in $y_2=990$ pounds of strawberries

$x=72$ cubic feet of fertilizer is used

Linear interpolation is applied

$y=y_1+\dfrac{(x-x_1)(y_2-y_1)}{x_2-x_1}\\\Rightarrow y=770+\dfrac{(72-70)(990-770)}{90-70}\\\Rightarrow y=792\ \text{pounds}$

72 cubic feet of fertilizer will yield $792\ \text{pounds}$ of strawberries.

5 0

3 years ago

1. Identify the polynomial.

maks197457 [2]

Answer:

the correct answer is Trinomial

8 0

3 years ago

You are applying fertilizer to a football field. The field is 360 feet long and 160 feet wide. You use 8 pounds of fertilizer pe

Assoli18 [71]

Answer: 10 bags

Step-by-step explanation:

First we must calculate the field area. Assuming it is a rectangle then its area equals the product of its length times its width

$A =360*160\\\\A = 57600 ft^2$

You use 8 pounds of fertilizer per 1,000 square feet

So the amount of fertilizer you should use is:

$57,600 ft^2 * \frac{8\ pounds}{1,000\ ft^2} = 460.8\ pounds$

As the fertilizer comes in bags of 50 pound then you need

$460.8\ pounds * \frac{1\ bag}{50\ pounds} = 9.2\ bags$

Since you can not buy 9.2 bags then we round up to the next whole number.

Finally you need 10 bags of fertilizer

6 0

3 years ago

Please HELP I’m being timed!!!

Tanzania [10]

Answer:

C is the answer I think...

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3 years ago

A company took a survey about its new project. I did the hundred people surveyed, 44 liked the new product. What percentage of t

Aleks [24]

Answer:

The percentage people surveyed like to the new product is 44%.

Step-by-step explanation:

Given:

Company took a survey about its new project, hundred people surveyed, 44 liked the new product.

Now, to find the percentage of the people surveyed like to the new product:

People like new product / Total people surveyed × 100

$\frac{44}{100}\times 100$

$=0.44\times 100$

$=44$

So, it is 44%

Therefore, the percentage people surveyed like to the new product is 44%.

3 0

4 years ago