Answer:
((2 x + 1) (4 x^2 - 2 x + 1))/8
Step-by-step explanation:
Factor the following:
x^3 + 1/8
Put each term in x^3 + 1/8 over the common denominator 8: x^3 + 1/8 = (8 x^3)/8 + 1/8:
(8 x^3)/8 + 1/8
(8 x^3)/8 + 1/8 = (8 x^3 + 1)/8:
(8 x^3 + 1)/8
8 x^3 + 1 = (2 x)^3 + 1^3:
((2 x)^3 + 1^3)/8
Factor the sum of two cubes. (2 x)^3 + 1^3 = (2 x + 1) ((2 x)^2 - 2 x + 1^2):
((2 x + 1) ((2 x)^2 - 2 x + 1^2))/8
1^2 = 1:
((2 x + 1) ((2 x)^2 - 2 x + 1))/8
Multiply each exponent in 2 x by 2:
((2 x + 1) (2^2 x^2 - 2 x + 1))/8
2^2 = 4:
Answer: ((2 x + 1) (4 x^2 - 2 x + 1))/8
Answer:
a number to be divided by another number
Note that a translation along the horizontal is affected by the dependent variable. Hence the correct graphical representation will be Graph C
<h3>Translation and transformation</h3>
Translation is the transformation technique of changing the position of an object on the xy-plane.
Give the parent function f(x) = x^2, if the parent function is translated to the right by 4 units (along the horizontal), the resulting function h(x) will be (x+4)^2
Note that a translation along the horizontal is affected by the dependent variable. Hence the correct graphical representation will be Graph C
Learn more on translation here: brainly.com/question/12861087
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Answer:
Step-by-step explanation:
The rate of change in any function is the slope of the line between 2 points. Our points are t = 2 and t = 5. But we know that the slope formula also involves the h's for each of those t's. We need to find them first. The slope formula is
, but for us it will look like this (fittted to our needs):
. So we need to find those h's.
when t = 2, plug in a 2 for t and solve for h.
Therefore, 
and
h(2) = 32 and in coordinate form, (2, 32).
When t = 5, plug in a 5 for t and solve for h.
Therefore, 
and
h(5) = 14 and in coordinate form, (5, 14). Now we can plug into our slope formula:
, choice B.
The rate of change is -6 which, in words, means that the ball fell 6 feet every 1 second it fell.
Answer:The FIrst 1 For Find The Volume Is 64.13
Step-by-step explanation: U Use The Fromula W x H x L
