MATHEMATICS HIGH SCHOOL

Which of the following represents the factored form of f(x) = x3 − 81x?f(x) = x(x − 9)2
f(x) = (x + 9)(x − 9)
f(x) = x(x + 9)(x − 9)
f(x) = x(x2 − 9)

Answers

Answer 1

Answer:

Factored form of $f(x) = x^(3) -81x$ is equal to $x(x+9)(x -9)$ .

What is factored form?

" Factored form is defined as for the given polynomial product of the constant along with linear expressions."

Formula used

$a^(2) -b^(2) =(a+ b)(a- b)$

According to the question,

Given polynomial,

$f(x) = x^(3) -81x$

Simplify the given polynomial to get its factored form using formula,

$x^(3) -81x\n\n= x(x^(2) -81)\n\n= x(x^(2) -9^(2) )\n\n= x(x+ 9)(x-9)$

Hence, Option(C) is the correct answer.

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Answer 2

Answer: You're original equation has a -81, so the factored form will have to have a positive and negative multiplying one another to achieve that...

f(x) = x(x + 9)(x - 9)

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A hawk can travel at a speed of 120 miles per hour.How long would it take a hawk to travel 840 miles without stopping?

Answers

Answer:

The answer is 7

Step-by-step explanation:

Because 840 divided by 120 is 7

Jamie goes on holiday to Florida.The exchange rate is £1 = 1.70 dollars.
He changes £900 into dollars.
(a) How many dollars should he get?

Answers

The person should get $1530 in exchange for £900.

What is a Ratio?

A ratio indicates the number of times one number contains another.

The exchange rate is given as:

£1 = $1.70

The equivalent amount of £900 in dollars is calculated as:

£1 = $1.70

Multiply both sides by 900:

£900 = $ (1.70×900)

£900 = $1530

Hence, the person should get $1530 in exchange for £900.

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he will get $1,530 in total all you had to do is multiply 1.70 by 900

Approximately how many degrees are in the measure of an interior angle of a regular eight sided polygon?

Answers

135° I think 1080( what the angles add up to) 1080÷8=135°

Please help if you can!! I would appreciate it alot!People attending a baseball game either supported the home team or the visiting team. If 1144 of the people attending supported the home team and 1456 supported the visiting team, what percentage supported the home team?

Answers

Answer:

44%

Step-by-step explanation:

1144 is 44 percent of 2600

2 (x-4)=8
help me solve step by step

Answers

2(x-4)=8

Distribute

(2)(x)+(2)(-4)=8

2x-8-8

Now add 8 to both sides so you can find the value for x

2x-8+8=8+8

2x=16

Divide both sides by 2

2x/2=16/2

x=8

I hope that's help !

$0= (3 x^(2)-18x+24 )/( x^(2) -2x-8)$ Solve for x
Please show your work!!!
Thanks in advance :)

Answers

$D:x^2-2x-8\not=0\nD:x^2-4x+2x-8\not=0\nD:x(x-4)+2(x-4)\not=0\nD:(x+2)(x-4)\not=0\nD:x\not =-2 \wedge x\not =4\n\n(3x^2-18x+24)/(x^2-2x-8)=0\n(3(x^2-6x+8))/((x+2)(x-4))=0\n(3(x^2-4x-2x+8))/((x+2)(x-4))=0\n(3(x(x-4)-2(x-4)))/((x+2)(x-4))=0\n(3(x-2)(x-4))/((x+2)(x-4))=0\n(3(x-2)(x-4))/((x+2)(x-4))=0\n(3(x-2))/((x+2))=0|\cdot(x+2)\n3(x-2)=0|:3\nx-2=0\n\boxed{x=2}$