Answer:
2(90-x)=180-x-24
solve this
180-2x=156-x
solve the rest on your own
Hope it helps!
Answer:
D. 
Step-by-step explanation:
Hello!
We can group the first two terms and the last two terms.
<h3>Factor by Grouping</h3>
Factoring by grouping is the process of breaking down larger polynomials to smaller ones to factor. We can then combine like factors.
In the second step, we can see that we can rewrite
as
, as both the two terms share a common factor of
. We can pull out
from that expression. Similarly,
and
share a common factor of
, so we can pull that out.
Answer:
Thus, the statement is False!
Step-by-step explanation:
When the domain of a function has an infinite number of values, the range may not always have an infinite number of values.
For example:
Considering a function

Its domain is the set of all real numbers because it has an infinite number of possible domain values.
But, its range is a single number which is 5. Because the range of a constant function is a constant number.
Therefore, the statement ''When the domain of a function has an infinite number of values, the range always has an infinite number of values'' is FALSE.
Thus, the statement is False!
Answer:
For the code we have 3 selections.
The first selection is a digit that must be odd, so the options are {1, 3, 5, 7 ,9}
So we have 5 options.
The second selection is a letter from the set of all the letters (27) minus the set of the vowels (5)
So here we have 27 - 5 = 22 options
The third selection is also a letter from the previous set, but because each letter can be used only one time, and in the previous selection we already selected one of the letters, in this selection we have a letter less than in the previous selection.
Here we have 22 - 1 = 21 options.
The total number of combinations (of possible codes) is equal to the product of the number of options for each selection:
C = 5*22*21 = 2310.
There are 2310 different possible codes