MATHEMATICS MIDDLE SCHOOL

Factor the following polynomial completely.

1,280x^11 - 405x^7

Answers

Answer 1

Answer:

Answer:

$5x^7(16x^2+9)(16x^2-9)$

Step-by-step explanation:

we have

$1,280x^(11)-405x^(7)$

we know that

$1,280=(2^8)(5)$

$405=(3^4)(5)$

substitute

$(2^8)(5)x^(11)-(3^4)(5)x^(7)$

Factor 5x^7

$5x^7[(2^8)x^(4)-(3^4)]$

$5x^7[256x^(4)-81]$

Applying difference of square

$[256x^(4)-81]=(16x^2+9)(16x^2-9)$

substitute

$5x^7(16x^2+9)(16x^2-9)$

Answer 2

Answer:

5x^7(4x-a 3)(4x+3)(16x^2+9)

Step-by-step explanation:

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How do I write 97.356 pounds in word form?

Answers

Ninety-seven and three hundred fifty-six hundreds.

I'm not too sure though

Final answer:

The number 97.356 pounds written in word form would be 'ninety-seven point three five six pounds'. When writing decimals in word form, use 'point' for the decimal, and state each digit individually after the decimal.

Explanation:

To write 97.356 pounds in word form, simply write it as 'ninety-seven point three five six pounds'

This is simply a conversion of each digit and the decimal point into its corresponding word in the English language. The 'point' corresponds to the decimal point in the number, and 'ninety-seven', 'three', 'five', and 'six' correspond to the digits in the number.

In general, when converting decimal numbers into word form, remember to say 'point' where the decimal occurs, and then state each digit after the decimal individually.

Learn more about Writing decimals in word form here:

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Jordan and Jake each work during the summer. Jordan earns $9 per hour at her job. Jordan also gets a $10 weekly allowance. Jordan displayed her earnings in a table. Hours: 0 1 2 3 4 5 6 7 8

Earnings: 10 19 28 37 46 55 64 73 82

Jake earns $6.50 per hour at his job. Jake also gets a $15 weekly allowance. Jake displayed his earnings in a graph. How many hours will it take for Jordan and Jake to earn the same amount of money?
I am desperate!!!

Answers

Final answer:

To find out when Jordan and Jake will earn the same amount, we need to set their earnings equations equal to each other and solve for the number of hours worked. The resulting value will be the number of hours at which they both earn the same amount.

Explanation:

To determine the number of hours it will take for Jordan and Jake to earn the same amount of money, we need to solve an equation that sets their earnings equal to each other.

For Jordan, her earnings (EJ) are calculated as $9 per hour plus a $10 allowance. So, we write this as an equation:

EJ = 9h + 10.

Similarly, for Jake, his earnings (EJk) are calculated as $6.50 per hour plus a $15 allowance. So, his earning equation is given by:

EJk = 6.5h + 15.

To find when they earn the same, we set the two equations equal to each other:

9h + 10 = 6.5h + 15

By simplifying the equation, it results in 'h', which represents the number of hours needed for Jordan and Jake to earn the same amount of money.

Learn more about Earnings Comparison here:

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0 hours-
Jordan: 10
Jake: 15

1-
19
21.50

2-
28
28

They will have made the same amount of money after they have completed 2 hours of work each.

--------------------------

Another easy way to find the answer is to put the two into expressions and combine into an equation:

Jordan: 9x+10
Jake: 6.5x+15

Put into one equation:
9x+10=6.5x+15

Solve:

9x+10=6.5x+15

Step 1) Subtract 6.5x from both sides:

2.5x+10=15

Step 2) Subtract 10 from both sides:

2.5x=5

Step 3) Divide by 2.5 on both sides:

x=2

Step 4) Your answer:

You get the same 2 (hours)

If you need the value (Like how much money they made) then just plug in your x value to both expressions.

9x+10=
18+10=
28

6.5x+15=
13+15=
28

A grade has 81 girls and 72 boys. The grade is spilt into groups that have the same ratio of boys to girls as the whole grade. How many girls are in a group that has 16 boys?

Answers

There are 81 girls to every 72 boys in total, which can be represented by 81/72, which put into decimal form, is 1.125. If you then take the number of boys in the group, 16, and multiply it by this number (because the problem states that the ratio is constant) you can find the number of girls in the group.

16*1.125=18

So there are 18 girls in a group with 16 boys.

There are 18 girls in a group with 16 boys. Hope I could help! :D

What is the approximate volume of a sphere with a radius of 9 in.? Use 3.14 to approximate pi and express your answer in hundredths.

Answers

3052.08 inches cubed

Volume of a sphere: $V= (4)/(3) \pi r^(3)$
So, $V= (4)/(3) (3.14) 9^(3)$
$V= (4)/(3) (3.14) 9^(3) =3052.08$

HelppWhat is the length of stack H D with bar on top when BH = 20 in., BC = 12 in., and DC = 14 in.? Round your answer to the nearest tenth of an inch.

Answers

We will use Pythagorean Theorem:
HC^2=20^2-12^2=400-144=256
HC= $√(256)$ =16
HD^2=16^2-14^2=256-196=60
HD= $√(60)$ =7.7459
Answer: HD=7.7 in.

Which choices are equivalent to the expression above?
5 square root of 3

Answers

Answer:

Hai

5√3 is can equal to √75

because when i take 5 in root, i have to multiply by itself and 3.

5√3 is can equal to √15.√5

because its already equal to √75

5√3 is can equal to √25.√3

because its equal to √75

the other options are wrong.

good luck(:

Final answer:

Equivalent expressions to 5 square root of 3 could be 10 square root to the power of three halves, 15 square root to the power of 3 divided by 3, or (5 square root of 3) times 1. These are based on simplifying radicals or finding equivalent forms.

Explanation:

The given expression is 5 square root of 3. Equivalent expressions may factor in multiplication or division of the two components of the expression - the coefficient (5) and the radicand (√3). So, the equivalent expressions to 5√3 could be 10√3/2, 15√3/3, or (5√3) * 1, as examples. In each of these cases, the fundamental concept you're applying is simplifying radicals and/or equivalent forms of expressing a root. Note that the exact equivalents may vary depending on the specific context or constraints of a given problem or exercise.