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FinnZ [79.3K]
3 years ago
11

00:00 A florist measures the lengths of roses. The lengths in inches of a dozen roses are given below. 13.5 13.5 13.25 13.0 13.2

5 13.5 13.0 13.25 13.0 13.25 12.75 12.75 Part A How many dots should go above each data value in the line plot? Type a number in each box. Lengths of Roses (inches) 12.75 13.0 13.25 13.5 13.75 14.0 dot(s) above 12.75 dot(s) above 13.0 Review progress Question 7 of С​
Mathematics
1 answer:
Anettt [7]3 years ago
5 0

Answer:

2: 12.75

3: 13.0

4: 13.25

3: 13.5

0: 13.75

0: 14.0

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Find the​ fourth-degree polynomial function with zeros 4​, -4, 4i ​, and -4i . Write the function in factored form.
Iteru [2.4K]

Given:

A fourth-degree polynomial function has zeros 4​, -4, 4i ​, and -4i .

To find:

The fourth-degree polynomial  function in factored form.

Solution:

The factor for of nth degree polynomial is:

P(x)=(x-a_1)(x-a_2)...(x-a_n)

Where, a_1,a_2,...,a_n are n zeros of the polynomial.

It is given that a fourth-degree polynomial function has zeros 4​, -4, 4i ​, and -4i. So, the factor form of given polynomial is:

P(x)=(x-4)(x-(-4))(x-4i)(x-(-4i))

P(x)=(x-4)(x+4)(x-4i)(x+4i)

P(x)=(x-4)(x+4)(x^2-(4i)^2)           [\because a^2-b^2=(a-b)(a+b)]

On further simplification, we get

P(x)=(x-4)(x+4)(x^2-4^2i^2)

P(x)=(x-4)(x+4)(x^2+16)                [\because i^2=-1]

Therefore, the required fourth degree polynomial is P(x)=(x-4)(x+4)(x^2+16).

6 0
2 years ago
If y varies directly with x and y = 10 when k = 10, what is the value of x?
Damm [24]

<span><span>y = k *x
</span><span> y=10 ; k=10

10 = 10*x
x = 10/10 = 1</span></span>

x =1


7 0
3 years ago
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