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KiRa [710]
3 years ago
9

Which of the following is a polynomial with roots: − square root of 5 , square root of 5 , and −3?

Mathematics
1 answer:
tresset_1 [31]3 years ago
4 0
Roots: - √5 , √5, and - 3

=> these are factors of the polynomial: (x + √5), (x - √5), and (x + 3).

Multiply those three factors:

(x + √5) (x - √5) ( x + 3) = [x^2 - 5] ( x + 3 ) = x^2 + 3x^2 - 5x - 15

Therefore the polynomial x^2 + 3x^2 - 5x - 15 is a polynomial with the given roots.

Answer: option B. x^3 + 3x^2 - 5x - 15
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Determine the volume of a cylinder with 251.20cm2 lateral area and 78.50cm2 base area ​
horrorfan [7]

Answer:

Answer is 628 cm^3

Step-by-step explanation:

using base area lets find radius

base area=pie*(r)^2

78.50=3.14*r^2

78.50/3.14=r^2

25=r^2

5=r

now using lateral area lets find height

lateral area=2*pie*r*h

251.20=2*3.14*5*h

251.20=31.4*h

251.20/31.4=h

8=h

volume of cylinder=pie*(r)^2*h

=3.14*(5)^2*8

3.14*25*8

=628 cm^3

3 0
2 years ago
(2r^3-5r) - (r^3+5r)
kotykmax [81]

Answer:

r^3-10r

Answer Explanation:

4 0
3 years ago
In an experimental treatment, a random individual scores 51 on a measurement. People in general are normally distributed with a
fiasKO [112]

Answer:

There is significant evidence that treatment will create effect on the subject. Hence We reject H0

Step-by-step explanation:

H0 : μ = 37

H1 : μ ≠ 37

μ = 37 ; σ = 7 ; sample size, x = 51 ; sample size, n = 1

Decision region :

If P value < α ;

Reject H0

Using the Z test statistic :

Zstatistic = (x - μ) ÷ (σ / √n)

Zstatistic = (51 - 37) ÷ (7 / 1)

Zstatistic = 14 ÷ 7

Zstatistic = 2

Obtaining p value from Zstatistic using the p value calculator ;

Zscore = 2 ; 2-tailed test, significance level = 0.05

P value = 0.0455

Zcritical at α = 0.05 for a 2 - tailed test = 1.96

0.0455 < 0.05

There is significant evidence that treatment will create effect on the subject. Hence We reject H0

5 0
2 years ago
What is the value of M?<br> Step by step explanation thanks!
Free_Kalibri [48]
M = 72

Your main goal in this equation is to isolate m or in other words leave m alone in one side of the equality.

All you need to do is multiply 4 in both sides for you to eliminate the denominator attached to m.

Saying this,

(M/4)(4) = (18)(4)

M = 72
4 0
3 years ago
What is a number as a decimal 1 over 20
hram777 [196]
1/20 is equivalent to .05 because 5/100 is 1/20.

Hope this helps!
3 0
3 years ago
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