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Vinvika [58]
3 years ago
6

The table represents the start of the division of 8x^4+2x^3-7x^2+3x-2 by the indicated divisor. Find the quotient.

Mathematics
2 answers:
Ratling [72]3 years ago
8 0

Answer:

Answer: 2x² + x - 2 (the first option)

Step-by-step explanation:

got it right on quiz

zloy xaker [14]3 years ago
5 0
Answer: <span><span>2x² + x - 2</span> (the first option)

Explanation:

1) Question: divide 8x⁴+2x³-7x²+3x-2 by 4x² - x + 1

2) First term of the quotient

</span><span>  8x⁴ + 2x³ - 7x² + 3x - 2     | 4x² - x + 1
                                           ---------------------
 -8x⁴ + 2x³ - 2x²                   2x²
----------------------------------
           4x³ - 9x² + 3x - 2

3) Second term of the quotient:
</span>
<span>  8x⁴ + 2x³ - 7x² + 3x - 2     | 4x² - x + 1
                                           ---------------------
 -8x⁴ + 2x³ - 2x²                   2x² + x
----------------------------------
           4x³ - 9x² + 3x - 2
          -4x³ +  x² -   x
        ----------------------------
                  - 8x² + 2x - 2

4) third term of the quotient:
</span>
<span>  8x⁴ + 2x³ - 7x² + 3x - 2     | 4x² - x + 1
                                           ---------------------
 -8x⁴ + 2x³ - 2x²                   2x² + x - 2
----------------------------------
           4x³ - 9x² + 3x - 2
          -4x³ +  x² -   x
        ----------------------------
                  - 8x² + 2x - 2
                    8x²  - 2x + 2
                 -------------------------
                             0

5) Conclusion: since the remainder is 0, the division is exact and the quotient is </span>2x² + x - 2

You can verify the answer by multiplying the quotient obtained by the divisor. The result has to be the dividend.
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Paul [167]

Answer: 18

Step-by-step explanation:

2 degrees per hour

9 hours

1hour = 2 degrees

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4hr= 8 degrees

5hr=10 degrees

6hr= 12 degrees

7hr= 14 degrees

8hr= 16 degrees

9hr= 18 degrees

So you are basically doing 2x9 to get your answer

4 0
3 years ago
Lane rode 5 miles on his bike. His father biked 5 more miles than Lane. How far did Lane's father bike?
Tema [17]

Answer:

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Step-by-step explanation:

6 0
1 year ago
Bethany, Lauren, Amanda, and David all meet at a family reunion. They are comparing their ages. They have found that Lauren is 1
tekilochka [14]
Lauren =l
David=d
Bethany's =x
Amanda =y
l=x+13
d=y+11
lx=2y
<span>(x+13)x=2y
</span>2y=x^2+13x
y= \frac{1}{2}(x^2+13x)
or
y= \frac{x^2}{2}+ \frac{13}{2}x
(x-20)(l-20)=d
<span>(x-20)(x+13-20)=y+11 </span><span>
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Hope this helps :)
6 0
3 years ago
Read 2 more answers
Find g^−1 (x) when g(x) = 3/5 x −9.<br><br>5/3x − 1/9<br>5/3 x + 9<br>−3/5 x+ 9<br>5/3 x + 15
Cerrena [4.2K]

Answer:

5/3 x + 15

Step-by-step explanation:

The inverse of a function is the reflection across the line y = x. As such, algebraically it is found by switching y and x in the equation and isolating to solve for y.

g(x) = 3/5 x - 9

x = 3/5 y - 9

x + 9 = 3/5 y

5(x+9) = 3y

(5x + 45)/3 = y

5/3x + 15 = y

8 0
3 years ago
What is the elimination to this solution i think its b
Blababa [14]

EXPLANATION:

To get the solution of the simultaneous equation, using the elimination method:

We will have the following steps:

Step 1:

Write the two equations:

\begin{gathered} y=-\frac{1}{2}x+3 \\ y=-\frac{7}{2}x-3 \end{gathered}

Step2: Subtract the two equations:

\begin{gathered} y-y=-\frac{1}{2}x-(-\frac{7}{2}x)+3-(-3) \\ 0=-\frac{1}{2}x+\frac{7}{2}x+6 \\  \end{gathered}

Step 3: Simplify the expression

\begin{gathered} 0=3x+6 \\ 3x=-6 \\ x=-\frac{6}{3} \\ x=-2 \end{gathered}

Step 4: Substitute x=-2 into the formula:

\begin{gathered} y=-\frac{1}{2}x+3 \\ y=-\frac{1}{2}\times-2+3 \\ y=1+3 \\ y=4 \end{gathered}

Therefore, the answer is

(-2,4)

Thus,

Option B is correct

5 0
1 year ago
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