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denis23 [38]
3 years ago
12

Find the product. x3(x2+5x+1)

Mathematics
1 answer:
Stella [2.4K]3 years ago
4 0

Answer: x^5+5x^4+x^3


Step-by-step explanation:

assuming the expression is x^3(x^2+5x+1) each term in the bracket is multiplied by x^3

x^3(x^2+5x+1)

=(x^3*x^2)+(x^3*5x)+(x^3*1)

=x5+5x^4+x^3


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Which statement best describes how to determine whether f(x) = x3 + 5x + 1 is an even function?
ch4aika [34]
I have my notes here that will help you in answering the problem:

Test to determine if a function y=f(x) is even, odd or neither: Replace x with -x and compare the result to f(x). If f(-x) = f(x), the function is even. If f(-x) = - f(x), the function<span>is odd.
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I hope my answer has come to your help. God bless and have a nice day ahead!
7 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
Calculate the length of the line segment. round your answer to the nearest tenth.
Sunny_sXe [5.5K]

Answer:

c) 8.6

Step-by-step explanation:

Take the coordinates of the two points.

(0,8) and (7,3)

Formula:

√(x₁ - x₂)² + (y₁ - y₂)²

Substitute:

√(0 - 7)² + (8 - 3)²

√(-7)² + (5)²

√(49) + (25)

√(74) ≈ 8.6

8 0
3 years ago
Help me I really need help
natita [175]

Answer:

i think it would be the first one

Step-by-step explanation:

not a wild guess but i am definetly  not sure

8 0
3 years ago
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How many distinct rearrangements of the letters in "tweedledee" are there?
podryga [215]

Answer:

weed ,led ,we, tee , tweedle

4 0
3 years ago
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