Answer:
3x(x – 3)(x2 + 3x + 9)
Step-by-step explanation:
Because 3x4 – 81x=3x4-3x3
and the formula is
a3-b3=(a-b)(a2+ab+b2)
but since here it is 3x4 we put 3x before the formula.
Answer:
E
Step-by-step explanation:
The average rate of change of A(x) in the closed interval [ a, b ] is

Here [ a, b ] = [ - 4, 6 ] , then
f(b) = f(6) = 6² + 2(6) + 3 = 36 + 12 + 3 = 51
f(a) = f(- 4) = (- 4)² + 2(- 4) + 3 = 16 - 8 + 3 = 11 , thus
average rate of change =
=
= 4 → E
Answer: 41%
Step-by-step explanation:
15 girls prefer biology.
Find the boys who prefer biology;
There are 36 girls in total so;
= 100 - 36
= 64 boys interviewed
14 boys prefer Physics
= 64 - 14
= 50 boys prefer Biology and Chemistry
7 out of the 31 who prefer chemistry are girls so the boys who prefer chemistry are;
= 31 - 7
= 24 boys
Boys who prefer Biology;
= 50 - 24
= 26 boys
Total who prefer biology;
= 15 girls + 26 boys
= 41 students
Percentage = 41/100 = 41%
Yesssssssssssssssss 2:1 is basically 2:1 can be converted into 2 wholes and 14:6 can also be converted into 2 wholes.