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yKpoI14uk [10]
4 years ago
12

Find a polynomial with degree 3; zeros -3,3,5

Mathematics
2 answers:
WITCHER [35]4 years ago
6 0

Answer:

Step-by-step explanation:

f(x)= ax^3+bx^2+cx+d

f(-3)=-3a^3-3b^2-3c+d=0

f(3)=3a^3+3b^2+3c+d=0

f(5)=5a^3+5b^2+5c+d=0

f(0)=0a^3+0b^2+0c+d=2 <= any number you want your extremum at

=> d=2

f(-3)=-3a^3-3b^2-3c+=-2

f(3)=3a^3+3b^2+3c+=-2

f(5)=5a^3+5b^2+5c+=-2

solve for all variables ( Gauß )

a = 0.0266

b= -0.08

c= -0.66

As Solution

0.0266x^3-0.08x^2-0.66x+2 approximately

worty [1.4K]4 years ago
4 0
Answer:
(x^3)-(5x^2)-9x+45

Explanation:
(x-3)(x+3)(x-5)

(x^2-9)(x-5)

(x^3)-(5x^2)-9x+45

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Given OT with PQ = SR. What is the length of SR?
Ratling [72]

Answer:

42, because PQ is split in half and one side is 21, the 2 little lines going thru it show that both sides are equal meaning PQ is 42 bc of 21+21 therefore so is SR

Step-by-step explanation:

3 0
3 years ago
A certain manufactured product is supposed to contain23% potassium by weight. A sample of 10 specimensof this product had an ave
inysia [295]

Answer:

a. The null and alternative hypothesis are

H_0: \pi=23\\\\H_1: \pi\neq23

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c. The process should not be recalibrated. We have no enough statistical proof with this sample that the mean is not 23% (the null hypothesis π=23% could not be rejected).

Step-by-step explanation:

We want to know if there is enough statistical evidence to claim that the mean of the process is not 23%.

Then, the null and alternative hypothesis are

H_0: \pi=23\\\\H_1: \pi\neq23

We assume a significance level of 0.05.

The sample of size N=10 has a p=0.232.

The standard deviation to is

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The test statistic z is given by

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The two-tailed P-value for z=-0.361 is P=0.7181. This value is bigger than the significance level, so the effect is not significant. The null hypothesis can not be rejected.

That means we have no statistical proof with this sample that the mean is not 23%. The process should not be recalibrated.

5 0
3 years ago
A model is made of a car. The car is 10 feet long and the model is 7 inches long. What is the ratio of the length of the car to
Bingel [31]

Hey!


The length of the car is 10 feet long. The length of the model is 7 inches long.


Length of the car to length of the model is: 10:7


\framebox{Answer = 10:7}



7 0
3 years ago
(fx) = <br><img src="https://tex.z-dn.net/?f=%28fx%29%20%3D%20%20%5Csqrt%5B3%5D%7B%20-%203x%20%2B%203%7D%20find%20f%28%20-%2013.
never [62]
f(x)=\sqrt[3]{-3x+3}\\\\substitute\ the\ value\ of\ x\ to\ the\ equation:\\\\f(-13.6)=\sqrt[3]{-3(-13.6)+3}=\sqrt[3]{40.8+3}=\sqrt[3]{43.8}\approx3.525
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3 years ago
What is the length of ‘u’?
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Answer:

16.0 ft

Step-by-step explanation:

Download pdf
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