If you would like to find a factor of 6x^2y + 8x^2 - 30y - 40, you can calculate this using the following steps:
<span>6x^2y + 8x^2 - 30y - 40 = 2x^2 * (3y + 4) - 10 * (3y + 4) = (3y + 4) * (2x^2 - 10) = 2 * (3y + 4) * (x^2 - 5)
</span>
The correct result would be 3y + 4.
So what you do is distribute the invisible -1 in front of the second parenthasees set and add like terms
remember
x^2+3x^2=4x^2
-(3+4x-x^2)=-1(3x+4x-x^2)=-3-4x+x^2
so first distribute the negative 1
-1(-4f^2-3f+6)=4f^2+3f-6
add
12f^2-9f+15+4f+3f-6
group like terms
12f^2+4f^2-9f+3f+15-6
add
16f^2-6f+9
aswer is 16f^2-6f+9
Answer:
The conclusion is that the researcher was correct
Step-by-step explanation:
From the question we are told that
The sample size is 
The sample mean is 
The standard deviation is 
The significance level is 
The Null Hypothesis is 
The Alternative Hypothesis is 
The test statistic is mathematically represented as

Substituting values


Now the critical value for
is

This obtained from the critical value table
So comparing the critical value of alpha and the test value we see that the test value is less than the critical value so the Null Hypothesis is rejected
The conclusion is that the researcher was correct
The answer should be 242.75 cubic centimeters!!
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
A (- 1, - 17 ) → A' (- 1, 17 )
B (0, - 12 ) → B' (0, 12 )
C (- 5, - 11 ) → C' (- 5, 11 )
D (- 6, - 16 ) → D' (- 6, 16 )