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Alisiya [41]
3 years ago
11

What is (-4x^4+6-3x^2)-(11-6x^4)

Mathematics
1 answer:
nasty-shy [4]3 years ago
7 0

Simplify

-4x^4 + 6 -3x^2 - (11 - 6x^4)

Simplify brackets

-4x^4 + 6 - 3x^2 - 11 + 6x^4

Collect like terms

(-4x^4 + 6x^4) + (6 - 11) - 3x^2

Simplify

<u>2x^4 - 5 - 3x^2</u>

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The table represents the start of the division of 8x^4+2x^3-7x^2+3x-2 by the indicated divisor. Find the quotient.
zloy xaker [14]
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.
5 0
4 years ago
Read 2 more answers
50 POINTS!!
elena55 [62]

Answer:

3/8

Step-by-step explanation:

3/4 divided by 2> 3/4 divided by 2/1>3*1=3 4*2=8 so therefore your answer is 3/8

6 0
3 years ago
Read 2 more answers
Write all the factors of 21 .
xeze [42]
7x3x1 are the factors.
8 0
4 years ago
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when you reverse the digits in a certain two digit number you increase its value by 9 find the sum of its digits is 17
melamori03 [73]
The answer is 80.
80 flipped is 08, which is equal to 8, then 8+9=17
3 0
3 years ago
In a nursery class of 18 pupils, the average is 4<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20" id="TexFormula1"
Alisiya [41]

Answer:

The sum of ages of all 18 pupils in the class = 81

Step-by-step explanation:

Total number of pupil in the class =  18

Average of years in the class = 4\frac{1}{2}

Now, 4\frac{1}{2}  = 4 + \frac{1}{2}  = 4 + 0.5 = 4.5

⇒Average of sum of ages  in the class = 4.05

Let us assume the sum of ages of all students in the class = m

By the formula for AVERAGE:

\textrm{Average of n obseravtions}  = \frac{\textrm{Sum of n observations}}{\textrm{n}}

\implies 4.5 = \frac{m}{18}

or, m =  18 x 4.5 = 81

Hence, the sum of ages of all 18 pupils in the class = 81

6 0
3 years ago
Read 2 more answers
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