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Blizzard [7]
3 years ago
10

What is the result of dividing x3−6 by x + 2?

Mathematics
1 answer:
vazorg [7]3 years ago
7 0

Answer:    \bold{x^2-2x+4-\dfrac{14}{x+2}}

<u>Step-by-step explanation:</u>

I am going to use Synthetic Division.

The divisor is:    x + 2 = 0     →   x = -2

The coefficients are: 1x³ + 0x² + 0x - 6    →      1, 0, 0, -6

-2 |  1      0     0     -6

   <u>|  ↓     -2     4     -8   </u>        

      1     -2      4    -14    ← remainder

Reduced Polynomial is: x² -2x + 4 -  14/(x + 2)

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Tiffany used to live 15 kilometers away from the school, but after she moved she now lives 9.9 kilometers away. She is _____ per
valkas [14]

Answer:

Tiffany is 34% closer to the school.

Step-by-step explanation:

Given the statement: Tiffany used to live 15 kilometers away from the school, but after she moved she now lives 9.9 kilometers away.

She lived away from the school = 15 km

as, she moved 9.9 km away.

Now, the distance closer to school from where she lived = 15 -9.9 = 5.1 km

To, find how much percent she is closer to school.

Percent states that a number or ratio expressed as a fraction of 100.

percent = \frac{5.1}{15} \times 100 = \frac{51 \times 100}{150} = \frac{51 \times 10}{15}

Simplify:

percent closer to school = 34%

Therefore, she is 34% closer to the school.



5 0
3 years ago
How do I solve for the fourth term in this sequence?
tatiyna

Answer:

<h2>d(4) = 64</h2>

Step-by-step explanation:

d(1) = 13

d(n) = d(n - 1) + 17

where

n is the nth term

To find the 4th term we must first find the second term use it to find the 3rd term and use the 3rd term to find the 4th term

So we have

<u>For the 2nd term</u>

That's d(2)

We have

d(2) = d(2-1) + 17

d(2) = d(1) + 17

But d(1) = 13

d(2) = 13 + 17 = 30

<u>For the 3rd term d(3)</u>

That's

d(3) = d(3 - 1) + 17

d(3) = d(2) + 17

d(3) = 30 + 17 = 47

<u>For the 4th term that's d(4)</u>

We have

d(4) = d(4 - 1) + 17

d(4) = d(3) + 17

d(4) = 47 + 17

We have the final answer as

<h3>d(4) = 64</h3>

Hope this helps you

3 0
3 years ago
Which problem can be solved using the equation shown? 2 dollars and 50 cents x minus 2 dollars = 10 dollars and 50 cents
Kisachek [45]

Answer:

Look below.

Step-by-step explanation:

$2.50*-$2.00=10.50

This isn't right so I don't know what you're asking for...

5 0
3 years ago
Read 2 more answers
Need help with this
Zigmanuir [339]
In the ones place its 1

hundreds =  5
thaosands = 4
3 0
3 years ago
Combine like terms in (3x+5)+(4x-30
tresset_1 [31]

Answer:

The answer is 7x-25

Step-by-step explanation:

(3x+5)+(4x-30)

=3x+4x+5-30

=7x-25

3 0
2 years ago
Read 2 more answers
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