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Elza [17]
2 years ago
13

Find (x³+x²-20x+24) divided by (x-3)​

Mathematics
1 answer:
Rus_ich [418]2 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)

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

                                       0

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

                       

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What percentage of the mile times range from 7.25 to 9.375?
Step2247 [10]

1. We assume, that the number 9.375 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 9.375 is 100%, so we can write it down as 9.375=100%.

4. We know, that x is 7.25% of the output value, so we can write it down as x=7.25%.

5. Now we have two simple equations:

1) 9.375=100%

2) x=7.25%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

9.375/x=100%/7.25%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 7.25% of 9.375

9.375/x=100/7.25

(9.375/x)*x=(100/7.25)*x       - we multiply both sides of the equation by x

9.375=13.793103448276*x       - we divide both sides of the equation by (13.793103448276) to get x

9.375/13.793103448276=x

0.6796875=x

x=0.6796875

now we have:

7.25% of 9.375=0.6796875

8 0
3 years ago
What is the simplified sum of 3x/x-4 + x-3/2x
zubka84 [21]

━━━━━━━☆☆━━━━━━━

▹ Answer

<em>-1 - 1/2x</em>

▹ Step-by-Step Explanation

3x ÷ x - 4 + x - 3 ÷ 2x

Divide and Rewrite:

3 * 1 - 4 + x - 3 ÷ 2 * x

Calculate:

3 - 4 + x - 3/2x

-1 + x - 3/2x

= -1 - 1/2x

Hope this helps!

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4 0
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MAVERICK [17]

- 2( 8x^2 - 12x - 15 )

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ella [17]

Answer:

A

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5:9 is the original ratio.

we know that anything times 5 would have the ones place of either 5 or 0 so we can eliminate c and d. Then we test out the other two choices.

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A is correct.

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