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3 years ago

Find (x³+x²-20x+24) divided by (x-3)

Mathematics

1 answer:

Rus_ich [418]3 years ago

3 0

Answer:

$\frac{x^3 + x^2 -20x + 24}{x-3} = x^2 +4x-8$

Step-by-step explanation:

Given;

p(x) = x³ + x²- 20x + 24

factor of p(x) = x-3

Apply long division method;

x² + 4x - 8

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

x - 3 √ x³ + x²- 20x + 24

-( x³ - 3x²)

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

4x² - 20x + 24

-(4x² -12x )

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

-8x + 24

- (-8x + 24)

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

$thus, \ \frac{x^3 + x^2 -20x + 24}{x-3} = x^2 +4x-8$

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2 years ago

Mr wood's monthly expenses was $2.125 after he had reduced it by 15 %the oroginal monthoy expenses was 80% of his monthly income

Nataliya [291]

Answer:

$2.50

Step-by-step explanation:

Let the original monthly expenses be 'x'.

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Now, as per question:

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Therefore, the original monthly expenses of Mr. Wood was $2.50.

Also, we can find his monthly income using the value of 'x'.

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3 years ago

Find the inverse of the function f(x) = 5/6x +10

UkoKoshka [18]

Answer:

$\displaystyle f^{-1}(x)=\frac{6x-60}{5}$

Step-by-step explanation:

<u>Inverse function</u>

Given the function

$\displaystyle f(x)=\frac{5}{6}x+10$

We find its inverse following the procedure below:

Set y=f(x)

$\displaystyle y=\frac{5}{6}x+10$

Multiply by 6:

$6y=5x+60$

Operate:

$5x=6y-60$

Solve for x:

$\displaystyle x=\frac{6y-60}{5}$

Swap variables:

$\displaystyle y=\frac{6x-60}{5}$

Make the new y the inverse function:

$\boxed{\displaystyle f^{-1}(x)=\frac{6x-60}{5}}$

This is the inverse function

4 0

3 years ago

Help please ? Thank you !!

yKpoI14uk [10]

Answer:

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(7x-19)=120

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7x=139

x=139/7

x=19.85

4 0

3 years ago

Read 2 more answers

Find (x³+x²-20x+24) divided by (x-3)​

Find (x³+x²-20x+24) divided by (x-3)