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Gemiola [76]
3 years ago
15

Find a polynomial f(x) of degree 4 that has the following zeros.

Mathematics
1 answer:
34kurt3 years ago
3 0

Answer:

The answer to your question is     (x₁ - 4)(x₂ - 9)(x₃)(x₄ +4)

Step-by-step explanation:

Data

zeros of a polynomial  = 4, 9, 0, -1

Process

1.- Equal each root to zero

   x₁ = 4     x₂ = 9    x₃ = 0    x₄ = -1

  x₁ - 4 = 0    x₂ - 9 = 0     x₃ = 0    x₄ + 1 = 0

2.- Write the terms together

   (x₁ - 4)(x₂ - 9)(x₃)(x₄ +4)

3.- Expand to check the answer

   (x - 4)(x - 9) = x² -13x + 36

   (x² -13x + 36)(x) = x³ - 13x² + 36x

   (x³ - 13x² + 36x)(x + 4) = x⁴ - 13x³ + 36x² + 4x³ - 52x² + 144x

                                        = x⁴ - 9x³ - 16x² + 144

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X is a normally Distributed random variable with a standard deviation of 4.00. Find the mean of X when 64.8% of the area lies to
Cerrena [4.2K]

Answer:

7

Step-by-step explanation:

σ = 4 ; μ =?

8.52 to the left of X

.

P(X < 8.52) = 64.8%

P(X < 8.52) = 0.648

Using the Z relation :

(x - μ) / σ

P(Z < (8.52 - μ) / 4)) = 0.648

The Z value of 0.648 of the lower tail is equal to 0.38 (Z probability calculator)

Z = 8.52 - μ / 4

0.38 = 8.52 - μ / 4

0.38 * 4 = 8.52 - μ

1.52 = 8.52 - μ

μ = 8.52 - 1.52

μ = 7

5 0
3 years ago
PLEASE HELP!!!!!!!!!!
kolbaska11 [484]
11/18 =0.6111111. I don’t think the ! Has any meaning
3 0
1 year ago
HELP DUE TODAY
Fudgin [204]
I think it is D
Hope my answer help you?
6 0
3 years ago
Solve a=2b-c for b<br><br> Can someone help me
Sauron [17]

Answer:

b=\frac{a}{2} +\frac{c}{2}

Explanation:

While solving literal equations could be quite overwelhming, simply solve it by using normal equation solving methods.

For example, if you were to solve 2x + 3 = 9

You would add 3 on both sides and divide both sides by 2 to determine x.

Do the same thing for literal equations, and if in doubts, plug in numbers to check your work.

Step-by-step explanation:

For this problem, add c on both sides, we do this because we are aiming to eliminate the c from both sides.

a+c =2b

In order to find the value of b, divide both sides by 2, we do this because we want to get rid of the coefficient.

This should leave you with the answer of b=a/2 + c/2

3 0
3 years ago
Can I get an answer?
Reil [10]

coordinate of B= (2+3,0) = (5,0)

by pythagoras' theorem,

height of triangle^2 + half length of AB^2 = AC^2

height of triangle^2 = 3^2-1.5^2

height of triangle ^2= 6.75

height of triangle= √6.75

coordinates of C= (1.5,√6.75)

5 0
3 years ago
Read 2 more answers
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