0.6 as a fraction in simplest form is 3/5
Answer: <span>2x² + x - 2 (the first option)</span>
The volume of the rectangular prism can be express in standard polynomial as follows:
x³ + 12x² + 35x
<h3>How to find the volume of a rectangular prism?</h3>
volume of a rectangular prism = lwh
where
- l = length
- w = width
- h = height
Therefore,
let
height = x
width = x + 5
length = x + 5 + 2 = x + 7
Therefore,
volume = x(x + 5)(x + 7)
volume = x(x² + 7x + 5x + 35)
volume = x(x² + 12x + 35)
volume = x³ + 12x² + 35x
learn more on volume here: brainly.com/question/2005063
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Answer:

Step-by-step explanation:
meants when
, that the value for
is 5.
So this gives us this equation:

meants when
, that the value for
is 10.
So this gives us this equation:

So I take equation 2 and divide it be equation 1 I get:

Simplifying:

Since the base for an exponential function can't be negative then
.
So plugging into one of my equations I began with gives me an equation to solve for the initial value,
:


Divide both sides by 2:

The function is:

Answer:
1)
<u>Find the union of A and B:</u>
- A∪B = {2,3,4,5,6,7,9,10,11,13,14,15,18,19,20}
<u>Find the complement of above:</u>
- (A∪B)
= - U\(A∪B) =
- {1,2,3,4,...,18,19,20}\ {2,3,4,5,6,7,9,10,11,13,14,15,18,19,20} =
- {1,8,12,16}
2)
<u>Find the intersection of A∩C:</u>
<u>Find the complement of above:</u>
- (A∩C)
= - U\(A∩C) =
- {1,2,3,4,...,18,19,20}\ {5,6,7,14,20} =
- {1,2,3,4,8,9,10,11,12,13,15,16,17,18,19}