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kolezko [41]
3 years ago
5

Divide using synthetic division. ( x^4-12x^2-9)/(x+3)

Mathematics
1 answer:
Firdavs [7]3 years ago
6 0

Answer:

x^3 - 3x^2 - 3x + 9 + (-36/(x+3))

OR

x^3 - 3x^2 - 3x + 9 - (36/(x+3))

Step-by-step explanation:

First set the divisor equal to 0:

x + 3 = 0

Subtract 3 from both sides

x = -3

This is what you'll divide the dividend by in synthetic division.

Take the coefficents of each term in the dividend. Do not forget the 0 placeholders:

x^4 + 0x^3 - 12x^2 + 0x -9

Coefficents: 1. 0.  -12. 0 -9.

Please see the image for the next steps.

The remainder is -36. Put the remainder over the divisor and add it to the polynomial (shown in image)

-36/(x+3)

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barxatty [35]

Answer:

1/8 ;

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Step-by-step explanation:

To select any 5 numbers out of 40

Number of selection required / total numbers

Probability of winning = 5 /40 = 1/8

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Black, B = 6

Blue, C = 4

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Probability = required outcome / Total possible outcomes

P(B) = 6 / 18 = 1/3

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P(W or C) = 8/17 + 4/17 = 12/17

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8 0
3 years ago
Solve the inequality<br> 7+7(x+4)&gt;21
Kryger [21]

Answer:

x>-2

Step-by-step explanation:

Hi there!

We are given the inequality 7+7(x+4)>21, and we want to solve it

Solving an inequality is a lot like solving an equation; we want to isolate x on one side by itself.

So to start, we'll preform the distributive property on 7(x+4) (multiply x by 7, then multiply 4 by 7 and add those two together).

7+7x+28>21

Now combine like terms.

7x+35>21

Subtract 35 from both sides

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Hope this helps!

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3 years ago
What is -3 the sum of 5
Ainat [17]
The solution is 2. -3+5=2
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4 years ago
Questions are on the picture, a-e.
iris [78.8K]
  1. The equilibrium price is $1.12.
  2. If price is $0.98, there would be scarcity of Super Widgets.
  3. When price is $0.98, quantity demanded is y.
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<h3>What is equilibrium? </h3>

Equilibrium price is the price at which the quantity demanded equals the quantity supplied. The equilibrium price is $1.12.

Above equilibrium price, quantity supplied would exceed quantity demanded and there would be a surplus. When price is below equilibrium price, quantity supplied would be less quantity demanded and there would be a scarcity.

To learn more about equilibrium, please check: brainly.com/question/26075805

#SPJ1

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A road has an incline of 10°. To the nearest foot, find the increase in altitude of a car after driving 4,000 feet along the roa
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Because

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