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kvv77 [185]
3 years ago
8

Please help, will give brainlist

Mathematics
1 answer:
ladessa [460]3 years ago
5 0

Answer:

x^{2}-2+\frac{20}{x+7}

Step-by-step explanation:

x + 7) x³ + 7x²- 2x + 6 ( x²- 2

        <u> x³ + 7x²</u>

                     -2x + 6

                     <u>-2x - 14</u>

                           +20

Therefore, we can write the expression in the remainder quotient form as,

x^{2}-2+\frac{20}{x+7}

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I am giving 50 points. I only need help with this last page! Please someone help me.
tia_tia [17]
All u gotta do it plug it into ur calculator and you will get a decimal answer
5 0
3 years ago
Read 2 more answers
If P(x) = x ^ 2 + x + 3 and Q(x) = 4x ^ 2 - 3 find P(8) .
lara [203]

Answer:

75

Step-by-step explanation:

Giving Q was not necessary because you aren't doing P(Q) or anything like that....

Anyways,

p(x) = x^2 + x +3\\

Since you're doing p(8), you would replace the x's with 8s.

(8)^2 + (8)  + 3 = 64 + 8 + 3 =75

So your final answer would be 75.

6 0
3 years ago
Consider the function below. (If an answer does not exist, enter DNE.) f(x) = x3 − 27x + 3 (a) Find the interval of increase. (E
xxTIMURxx [149]

Answer:

(-∞,-3) and (3,∞)  

Step-by-step explanation:

f(x) = x³ − 27x + 3

1. Find the critical points

(a) Calculate the first derivative of the function.

f'(x) = 3x² -27  

(b) Factor the first derivative

f'(x)= 3(x² - 9) = 3(x + 3) (x - 3)

(c) Find the zeros

3(x + 3) (x - 3) = 0

x + 3 = 0      x - 3 = 0

     x = -3          x = 3

The critical points are at <em>x = -3</em> and x = 3.

2. Find the local extrema

(a) x = -3

f(x) = x³ − 27x + 3 = (-3)³ - 27(-3) + 3 = -27 +81 + 3 = 57

(b) x = 3

f(x) = x³ − 27x + 3 = 3³ - 27(3) + 3 = 27 - 81 + 3 = -51

The local extrema are at (-3,57) and (3,-51).

3, Identify the local extrema as maxima or minima

Test the first derivative (the slope) over the intervals (-∞, -3), (-3,3), (3,∞)

f'(-4) = 3x² -27 = 3(4)² - 27  = 21

f'(0) = 3(0)² -27 = -27

f'(4) = 3(4)² - 27 = 51

The function is increasing on the intervals (-∞,-3) and (3,∞).

The graph below shows the critical points of your function.

6 0
3 years ago
Last year there were 30 booths at the carnival. This year there are 20% fewer booths. How many booths are there this year?
jenyasd209 [6]

Answer:

24

Step-by-step explanation:

20% of 30 = 6

30 - 6 = 24

8 0
1 year ago
A triangular prism is 40 millimeters long and has a triangular face with a base of 24 millimeters and a height of 35 millimeters
abruzzese [7]

Answer:

26,508

Step-by-step explanation:

To find out how to solve this is that we first need to know that Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A=12bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.

Also: To find the total surface area of a prism, you need to calculate the area of two polygonal bases, the top face and bottom face. And then calculate the area of lateral faces connecting the bases. Add up the area of the two bases and the area of the lateral faces to get the total surface area of a prism.

The top= 12 x 24 x 35 = 10,080

The lateral faces: 12 x 37 x 37 = 16,428

Surface Area= 10,080 + 16,428 = 26,508

7 0
2 years ago
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