Answer:
We conclude that If a function has a vertical asymptote at a certain x-value, then the function is undefined at the value.
Step-by-step explanation:
If a function has a vertical asymptote at a certain x-value, then the function is undefined at the value.
For example, let the function

It is clear that the given function becomes undefined at x = 3 in the denominator.
i.e. 3-3 = 0
It means, the function can not have x = 3, otherwise, the function will become undefined.
In other words, if the function has a vertical asymptote at x = 3, then the function is undefined at the value.
Therefore, we conclude that If a function has a vertical asymptote at a certain x-value, then the function is undefined at the value.
Just divide and then get the quotient and round :) use the calculator it helps but that’s the explanation
Answer:
The longest sides is 18 m long.
Step-by-step explanation:
Let x meters be the length of the first side.
The length of the second side = x+9 m.
The length of the third = 3x m.
Perimeter = x + 3x + x + 9 = 39
5x + 9 = 39
5x = 30
x = 6 m.
The other 2 sides are 6+9 = 15 m and 3*6 = 18 m.
Answer:
$81
Step-by-step explanation:
Hello, this is the logic:
If $63 ---> 35%
$X -----> 100%
then,
X = [(100)*(63)]/35
X = $18
Then his total money was 63 + 18 = $81
Best regards
Answer:
Step-by-step explanation:
I think the one you want is the last one, but I've never called it that.
21x^2 + 147x + x^3 + 343
x^3 + 343 is a cubic binomial. It factors into (x + 7) (x^2 - 7x + 49)
21x(x + 7) + (x + 7)(x^2 - 7x + 49)
(x + 7) [ 21x - 7x + x^2 + 49)
(x + 7) [x^2 + 14x + 49]
(x + 7) ( x+7)^2
(x + 7)^3
It's the only answer that does factor. There must be a simpler way of doing it, but this will give you the right answer.