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jolli1 [7]
3 years ago
7

Divide using synthetic division.

-6%29" id="TexFormula1" title="(x^{4} -x^{3} +3x^{2} -6x-6)" alt="(x^{4} -x^{3} +3x^{2} -6x-6)" align="absmiddle" class="latex-formula">÷(x-2)
Mathematics
1 answer:
Afina-wow [57]3 years ago
7 0

Answer:

Quotient: x^3+x^2+5x+4

Remainder: 2

Step-by-step explanation:

To divide x^4-x^3+3x^2-6x-6 by (x-2) by synthetic division, we write out the coefficients as shown below;

     1      -1       3       -6      -6

<u>2|           2       2       10      8</u>

     1       1       5       4         2

The quotient is x^3+x^2+5x+4

The remainder is 2

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An orange has 30 calories more than a peach
Luden [163]

Answer:

O = p + 30

13p = 7o

O is (x+30)

O = 1+30 ....31

6 0
3 years ago
What is the inverse function f(x)=-3x-2
vesna_86 [32]

f^-1 (x) = 2/3 + x/3

6 0
2 years ago
Q # 1 simplify the expression
Agata [3.3K]
<u>Answer</u>

95,040

<u>Explanation</u>
The interpretation of this expression is; the number of permutation of 5 objects out of 12.

12P5 = 12!/(12-5)!

         =12!/7!
         =(12×11×10×9×8×7×6×5×4×3×2×1)/(7×6×5×4×3×2×1)

         =12×11×10×9×8
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5 0
3 years ago
How many grams of NH3 are required to produce 4.65 g of HF
nignag [31]

1.326 grams of NH3 are required to produce 4.65 g of HF.

Step-by-step explanation:

Balanced chemical reaction is written first to know the number of moles taking part in original reaction.

NH3 +3 F2 ⇒3 HF  +  NF3

Given:

mass of HF = 4.65

First the number of moles of HF in 4.65 grams is calculated by using the formula:

number of moles (n) = \frac{mass}{atomic mass of 1 mole}

atomic mass of HF = 20 grams/mole

putting the values in the above equation number of moles can be found.

n = \frac{4.65}{20}

  = 0.235 moles of HF are given.

From the equation it can be said that:

1 mole of NH3 reacts to form 3 moles of HF

so, x moles of NH3 would react to form 0.235 moles of HF

\frac{3}{1} = \frac{0.235}{x}

3x = 0.235

x = \frac{0.235}{3}

x = 0.078 moles of NH3 is required.

The moles are converted to mass by applying the formula:

mass = atomic mass X number of moles (atomic mass of NH3 = 17 grams/mole)

        putting the values in the formula

mass = 17 X 0.078

mass = 1.326 grams

8 0
2 years ago
30 + q = 43 show work PLEASEE HELP
Ira Lisetskai [31]

Answer:

13

Step-by-step explanation:

43 - 30 = 13

q = 13

3 0
3 years ago
Read 2 more answers
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