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madam [21]
3 years ago
13

Consider the polynomial function g(x)=x³-3x²+6x+8. Divide g by x+1.

Mathematics
1 answer:
irina [24]3 years ago
3 0

Answer:

Quotient ( x² -4x +10)

Reminder -2

Step-by-step explanation:

We have to consider the polynomial function g(x) = x³ - 3x² + 6x + 8

Now, we have to divide g(x) by (x+1)

Let us arrange the terms of g(x) to get (x+1) as common.

x³ - 3x² + 6x + 8

= x³ +x² -4x² -4x +10x +10 -2

= x² (x +1) -4x (x +1) +10 (x +1) -2

= (x +1)( x² -4x +10) -2

Hence, if we divide g(x) by (x +1) then the quotient will be ( x² -4x +10) and the reminder will be -2. (Answer)

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Please give an explanation and the answer to this question for 15 points thanks.
Alchen [17]

Answer:

y=29

Step-by-step explanation:

Since the angles are across a vertex from one another, they are congruent and equal. You can also see this by reflecting  or folding it in half through the vertex. They will be the same. This means we can write the following equation and solve using inverse operations:

4y-8=79+y

4y-y-8=79+y-y

3y-8=79

3y-8+8=79+8

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4 0
3 years ago
Elizabeth lives in San Francisco and works in Mountain View. In the morning, she has 3 transportation options (take a bus, a cab
Lesechka [4]

Answer:

4/9

Step-by-step explanation:

The possibilities of transportation: (The first will be for morning, second will be for afternoon)

B, B

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B, T

C, B

C, C

C, T

T, B

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T, T

It is clearly seen that there are 9 transportation options.

(Using cab 1 time we have BC, CB, CT, TC. So four of the transportation methods use cab one time.)

Therefore, the probability that she will use a cab only once is 4/9.  

6 0
3 years ago
Sam decided to go to the amusement with his sister. He paid $10 for parking and $12.50 per ticket. Determine the y-intercept. Wr
denis-greek [22]

Answer: (0,10)

Step-by-step explanation: y=mx+b

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6 0
3 years ago
2x + 4 / 3 = -8 please help
arsen [322]
X= -14/3 !


hope this helps
4 0
3 years ago
Read 2 more answers
Marcos mixes 504 ounces of lemonade. he wants to fill the 14 cups he has with equal amounts of lemonade how much lemonade should
sergeinik [125]

Answer:

36

Step-by-step explanation:

Take 504 ounces of that lemonade and divide that into 14 cups.

And you get 36 ounces for each cup.

3 0
4 years ago
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