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bekas [8.4K]
2 years ago
9

Use long division to divide x3 + x2 - 2x + 14 by x + 3. Choose the correct quotient.

Mathematics
1 answer:
True [87]2 years ago
3 0

Answer:

x2 - 2x + 4  (remainder 2).

or we could write it as

x2 - 2x + 4 + 2/(x+3)

Step-by-step explanation:

          x2  -  2x + 4   <------ quotient.

x + 3 )  x3 +   x2 - 2x + 14

          x3 +  3x2

                  -2x^2 - 2x

                   -2x2 -  6x

                                4x  + 14

                                 4x + 12

                                          2 <--------- remainder

Step-by-step explanation:

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How much is a 10% tip on a $25 bill
s344n2d4d5 [400]

Answer:

$2.50.

Step-by-step explanation:

10 percent of 25 is 2.5.

3 0
3 years ago
Read 2 more answers
The equation the quantity of x plus 20 over 2 = 3x represents when two tutoring services with different rate plans charge the sa
Inga [223]

None of the options give the same fees for a session of x hours.

Given,
x + 20/2 = 3x
when two tutoring services with different rate plans charge the same fees for a session of x hours.

<h3>What is arithmetic?</h3>

In mathematics, it deals with numbers of operations according to the statements.

x + 20/2 = 3x
x + 10 = 3x

A) x= 10
10 + 10 = 3*10
20 ≠ 30


B) x=4
4 + 10 = 3 * 4
14 ≠ 12

C) x= -14
-14 + 10 = 3 * -14
-4 ≠ 42


D) x=-17
- 17 + 10 = 3 * - 17
-7 ≠ -51

Here, none of the options give the same fees for a session of x hours.

Thus, none of the options give the same fees for a session of x hours.

Learn more about arithmetic here:

brainly.com/question/14753192

#SPJ1

8 0
1 year ago
An acute triangle has two sides measuring 8 cm and 10 cm . What is the best representation of the possible range of values for t
Mekhanik [1.2K]

Answer:

the right answer is 2 < s< 18

Step-by-step explanation:

The Third side of the triangle must be greater than the difference of the other two sides which is 10 -8= 2 and smaller than the sum of the other two sides of the triangle which is 10+8= 18.

so third side should be greater than 2 and less than 18.

So right answer is 2 < s< 18

5 0
3 years ago
Slope of (-2,-3) and (6,2)
alexira [117]
\frac{5}{8} is the slope between these two points. 

To figure out the slope between two points, we need to find the rise over run, which is the change in the <em>y value over the change in the x value</em>. This becomes:

\frac{2 - (-3)}{6 - (-2)}

And simplifies to:
\frac{5}{8}, meaning that the slope between these two points is \frac{5}{8}.
4 0
3 years ago
What is the area of this figure???
pshichka [43]

Answer:

24 mm squared

Step-by-step explanation:

3 x 4 x 1/2 = area of the triangle

4 x 3 = area of the rectangular top left

1 x 6 = area of the bottom rectangle

3 x 4 = 12 x 1/2 = 6

4 x 3 = 12

6 x 1 = 6

6 + 12 + 6 =24

8 0
3 years ago
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