Answer:
9(p + q)(9p + 9q - 1)
Step-by-step explanation:
Given
81(p + q)² - 9p - 9q ← factor out - 9 from these 2 terms
= 81(p + q)² - 9(p + q) ← factor out 9(p + q) from each term
= 9(p + q)(9(p + q) - 1)
= 9(p + q)(9p + 9q - 1)
Answer:
10.1%
Step-by-step explanation:
The first thing we should do is calculate the total volume of the solution when mixing them would be:
0.7 + 0.3 = 1
Now, we have that the resulting concentration (x) would be equal to the sum of the multiplications between the volumes and the concentrations to be mixed, as follows:
x * 1 = 0.7 * 0.05 + 0.3 * 0.22
x = 0.035 + 0.066
x = 0.101
That is, the concentration of the resulting mixture would be 10.1% (0.101 * 100)
25
The triangle given by 9, unknown, and 15 and the triangle given by 15, unknown, and x are similar triangles and therefore 9:15 = 15:x
X is 25 in this case
Answer:
7.7%
Step-by-step explanation:
<u>Answer:</u>
The correct answer option is D. 
<u>Step-by-step-explanation:</u>
We are given the following two functions:
and
We are to find 
so we will subtract the function g from function f, arrange the like terms together and combine them like shown below to get:
Therefore, is equal to so the correct answer option is D. .
