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stiv31 [10]
2 years ago
10

The function f(x) = x3 – 8x2 + x + 42 has zeros located at 7, –2, 3. Verify the zeros of f(x) and explain how you verified them.

Describe the end behavior of the function.
Mathematics
1 answer:
Ksenya-84 [330]2 years ago
8 0

Answer:

Step-by-step explanation:

At first you need to turn roots into factors and then multiply the

then you have

f(x) = a(x + 2)(x -5)^2

f(x) = a(x + 2)(x^2 - 10x + 25)

f(x) = a(x^3 - 8x^2 + 5x + 50)

You can use either synthetical or the factor

theorem

f(-2) = a(-8 - 8(4) + 5(-2) + 50) = a(0) = 0.. check, f

=-2

€(5) = a(125 - 8(25) + 5(5) + 50) = a(0) = 0 check, f

= 5 works

Then divide it to the the second multi

And you should get x^2 - 3x - 10 = (x - 5)(x + 2),

where the other two zeros are X =5 , and x=-2

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Answer:

a. The number of people that receive the text in the fourth round are 10³ people

b. The total number of people that receive the text are 1.1111 × 10⁴ people

Step-by-step explanation:

a. The given information are;

The number of people the text is sent to in the first round = 1

In the second round, the number of people the text is sent to by people in the first round = 10

In the third round, the number people the text is sent to by the 10 people in the second round = 10 × 10 = 100 people = 10² people

In the fourth round, the number of people the text is sent to by the people in the third round = 100 × 10 = 1000 people = 10³ people

The number of people that receive the text in the fourth round = 10³ people

b. In the fifth round, the number of people, the people in the fourth round send the text to = 1000 × 10 = 10000 people = 10⁴ people

The total number of people that receive the text = 1 + 10 + 10² + 10³ + 10⁴ people =  11111 people = 1.1111 × 10⁴ people

5 0
4 years ago
The graph of the function f is shown. f(4) =<br> A) 0 <br> B) 1 <br> C) 4 <br> D) 5
sdas [7]
Let me first give you an overview of the coordinate plane. The coordinate plane has an x-axis that runs horizontally left to right and a y-axis that runs vertically up and down. The axes intersect at a right angle at the origin, which is (0, 0). If you have a point, say (2, 5), then the point is located two steps to the right of the origin and five steps up. Remember to always go left and right first before going up and down. This is because the y-coordinate depends on the x-coordinate.

Sometimes the y-coordinate is called f(x), which is the function value at a given x-value. Again, this is because f(x) depends on the x-value.

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Step-by-step explanation:

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Answer:

The final answer is

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