Answer: Carlos is correct
Step-by-step explanation:
2x^5-250x^2
The first step is to factorize out 2x^2
2x^2(x^3-125)
This can be rewritten as
2x^2(x^3-5^3),
Recall, difference if cube (a^3-b^3)
= (a-b)(a^2 +ab + b^2)
from our equation,
a= x
b = 5.
So the difference of cubes will be
2x^2[(x-5) (x^2 + 5x + 5^2)]
=2x^2[(x-5) (x^2 + 5x + 25)]
Carlos followed these steps. So he is correct. Carlos is correct because he correctly factored the GCF, identified a and b, and applied the difference of cubes method.
Amber is incorrect because 125 is equal to b3, not b.
Bernie is incorrect because x2 is not the GCF of the polynomial. The GCF is 2x^2.
Answer: all points that satisfy
Step-by-step explanation:
The slope of the line is
So, substituting into point-slope form, the equation is
Therefore, all points that satisfy will lie on the same line.
Answer:
Yes, the background color appear to have an effect on the variation of word recall scores
Step-by-step explanation:
Given that results from scores on a test of word recall are given are as follows:
Two test scores have independent means and having normal distribution.
(Two tailed test at 5% significance level)
Group Group One Group Two
Mean 15.1400 12.4200
SD 5.9100 5.4200
SEM 0.9990 0.8910
N 35 37
The mean of Group One minus Group Two equals 2.7200
standard error of difference = 1.335
Hence t statistic = 2.0369
p value = 0.0454
Since p <0.05 we reject null hypothesis
Yes, the background color appear to have an effect on the variation of word recall scores
Answer: it should be 60
Step-by-step explanation: