Answer:
(4 x + 9) (16 x^2 - 36 x + 81)
Step-by-step explanation:
Factor the following:
64 x^3 + 729
64 x^3 + 729 = (4 x)^3 + 9^3:
(4 x)^3 + 9^3
Factor the sum of two cubes. (4 x)^3 + 9^3 = (4 x + 9) ((4 x)^2 - (4 x) 9 + 9^2):
(4 x + 9) ((4 x)^2 - 4 9 x + 9^2)
4×9 = 36:
(4 x + 9) ((4 x)^2 - 36 x + 9^2)
Multiply each exponent in 4 x by 2:
(4 x + 9) (4^2 x^2 - 36 x + 9^2)
4^2 = 16:
(4 x + 9) (16 x^2 - 36 x + 9^2)
9^2 = 81:
Answer: (4 x + 9) (16 x^2 - 36 x + 81)
Given the following points:
(1, 4): (2, 2.5): (3, 1) and (4, -0.5).
We are asked to find the average rate of change of the sequence.
The average rate of change for the sequence is the slope and it can be solved using the slope formula.
Slope (m) = y2 - y1
x2 - x1
So, lets choose two points on the line and substitute into the formular.
(1, 4) and (2, 2.5)
where:
x1 = 1
x2 = 2
y1 = 4
y2 = 2.5
m = 2.5 - 4
2 - 1
m = -1.5/1
m = -1.5
m = -1 1/2
Therefore, the correct option is the second option.
Answer:
7
Step-by-step explanation:
1/4 of 56 is 14
1/4 ice cream + 1/4 cookies is 28
1/8 of 56 is 7 so 7×3 =21
28+21=49
49+7=56
You divide the total number by the denominator so like 56÷8 is 7 and 56÷4 is 14.
A function does not have an "answer." In this case you are asked to simplify the given function as much as possible, not to "answer" it.
If f(x) = 2[sqrt(x)] + 1
the only possible simplification is to omit the brackets [ ]:
f(x) = 2sqrt(x) + 1. END
This is the answer if you mean 719-26
700-30= 670
