Answer: See explanation
Step-by-step explanation:
a. how old is Cheryl?
Cheryl's age = d + 5
b. how old is Brandon?
d + 5 + 2
= d + 7
c. what was the difference in their ages 5 years ago?
Cheryl age five years ago = d
Brandon's age five years ago = d + 2
Difference = d + 2 - d = 2 years
d. what is the sum of their ages now?
Cheryl's age = d + 5
Brandon age = d + 7
Sum = d + 5 + d + 7
= 2d + 12
e. what will the sum of their ages be two years from now?
Two years from now,
Cheryl's age = d + 5 + 2 = d + 7
Brandon age = d + 7 + 2 = d + 9
Sum = d + 7 + d + 9
= 2d + 16
f. what will the difference of their ages be two years from now
Two years from now,
Cheryl's age = d + 5 + 2 = d + 7
Brandon age = d + 7 + 2 = d + 9
Difference = Brandon age - Cheryl age
= (d + 9) - (d + 7)
= 2 years.
Answer:
There will be 8 possible outcomes.
Step-by-step explanation:
(Assume that there is no other outcome such as "no opinion" and "do not know.")
3 persons are selected at random from this group and their opinions in favor or against raising such taxes are noted.
So, the number of possible outcomes are = 
YYY, YYN, YNY, NYY, YNN, NNY, NYN, NNN
Y = Yes and N = No
Therefore, there will be 8 possible outcomes.
Answer:
Step-by-step explanation:
f(x) = x^2 + 5
g(x^2 + 5) = (x^2 + 5)^2= x^4 + 5x^2 + 5x^2 + 25 = x^4 + 10x^2 + 25
h(x^4 + 10x^2 + 25)= -2(x^4 + 10x^2 + 25)
-2x^4 - 20x^2 - 50
<span>The factors of 12 are : 1, 2, 3, 4, 6, 12.
The factors of 15 are : 1, 3, 5, 15.
1 and 3 are the only common factors (numbers which are factors of both 12 and 15).</span>
<span>Therefore, the highest common factor of 12 and 15 is 3.</span>
