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Nana76 [90]
2 years ago
10

Factor the polynomial F(x) =x^3-x^2-4x+4 completely.

Mathematics
1 answer:
Norma-Jean [14]2 years ago
6 0

Answer:

Step-by-step explanation:

PART 1:

Possible roots by noticing the coefficient of first term:

x = 1, -1

PART 2:

1 | 1  -1  -4   4

 <u>      1   0  -4</u>

   1   0  -4  0

The remainder is zero, hence one factor is (x-1)

PART 3:

x^3-x^2-4x+4=(x^2-4)(x-1)\\\\x^3-x^2-4x+4=(x+2)(x-2)(x-1)

PART 4:

f(x)=(x+2)(x-2)(x-1)\\\\=(x^2-4)(x-1)\\\\=x^3-4x-x^2+4\\\\=x^3-x^2-4x+4

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A ball is thrown straight up from the top of a building 124 ft tall with an initial velocity of 64 ft per second. The height s(t
algol13

Answer:

246 ft is the maximum height

Step-by-step explanation:

The height h given above is a quadratic function. The graph of h as a function of time t gives a parabolic shape and the maximum height h occur at the vertex of the parabola. For a quadratic function of the form h = a t² + bt + c, the vertex is located at t = - b / 2a. Hence for h given above the vertex in the question s(t) = 124 + 64t − 16t², is at t

t = -64/2(-16) = 64/32 = 2 seconds

Thus, 2 seconds after the object was thrown, it reaches its highest point (maximum value of h) which is given by

h = -16(2)² + 64 (2) + 124 = 246eet

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2 years ago
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Please explain how you got your answer!!! The dot plots below show the ages of students belonging to two groups of salsa classes
Rudik [331]

Answer:

Group b most likely has a lower mean age of salsa students

Step-by-step explanation:

Arithmetic Mean of the data is the average of a set of numerical values, calculated by adding them together and dividing by the number of terms in the set.

Here we are given with two groups that are Group A and Group B

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Here the mean age of the data is addition of the all ages of different students divided by total number of students.

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The mean age of salsa students= 340 ÷ 20 = 17

For group b

total age of the group = 6 × 7 + 3 × 10 + 4 × 14 + 5 × 16 + 2 × 21

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So the group b most likely has a lower mean age of salsa students

Learn more about Arithmetic Mean here - brainly.com/question/24688366

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Frank had hip replacement surgery and was given a prescription with instructions to take a 200 milligram (mg) tablet three times
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3 years ago
Please answer this question <br><br> 2x^2 = 3x
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Answer:

x = 1.5

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3 years ago
Read 2 more answers
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