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velikii [3]
3 years ago
11

Let f(x) = 8x3 - 28x + 61 and g(x) = 2x + 5. Find f(x) / g(x)

Mathematics
2 answers:
LiRa [457]3 years ago
8 0
This is a division of polynomials

   8x^3              - 28x + 61    | 2x + 5
                                             -----------------------
- 8x^3 - 20x^2                       4x^2 - 10x + 11x
---------------------------------
0         - 20x^2 - 28x + 61
           +20x^2 +50x
           ------------------------
                 0    +22x  +61
                       -22x   -55
                      ----------------
                                    6

Then, the division is not exact and the result is 4x^2 - 10x + 11x with remainder 6, or:

4x^2 - 10x + 11x + [ 6/ ( 2x + 5) 



Leona [35]3 years ago
8 0

Your answer would be 4x2 − 10x + 11+ 6 over quantity of 2 x plus 5.


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atroni [7]

Answer:

  • D(5, 4), E(14, 7), M(9.5, 5.5)

Step-by-step explanation:

As AD = 1/4AB and DE ║ AC, the ratio CE/CB = 1/4, or CE = 1/4CB

<u>Find the coordinates of D:</u>

  • x = 1 + 1/4(17 - 1) = 1 + 4 = 5
  • y = 5 + 1/4(1 - 5) = 5 - 1 = 4

<u>Find the coordinates of E:</u>

  • x = 13 + 1/4(17 - 13) = 13 + 1 = 14
  • y = 9 + 1/4(1 - 9) = 9 - 2 = 7

<u>Find the coordinates of the midpoint M of DE:</u>

  • x = (5 + 14)/2 = 19/2 = 9.5
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8 0
2 years ago
Jane's salary is increased by 2% to $30396. How much was her salary before the rise?
harina [27]
_award brainliest if helped!

so 102% = 30396
100% (original) = 30396/102*100 =29800

Her salary was $29800 before the rise
6 0
3 years ago
Read 2 more answers
Jenny used plastic cone shaped cups to serve punch. The cups were 6 inches in diameter and inches tall. What was the volume of e
Volgvan

Answer:

47.14 in³

Step-by-step explanation:

Here is the complete question

Jenny used plastic cone shaped cups to serve punch. The cups were 6 inches in diameter and 5 inches tall. What was the volume of each cup?

Volume of a cone = \frac{1}{3}πr²h

π = 22/7

Radius = diameter / 2 = 6 /2 = 3 inches

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5 0
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Step-by-step explanation:

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BARSIC [14]
The answer is b, -11.
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