Answer:
; 
Step-by-step explanation:
Score of the first two quizzes: 75 and 97
Let n represent the third score
Average score would be:
.
Given that the average score fall between 85 and 90, this can be represented by the compound inequality as shown below:
Solve for n in each statement that makes up the compound inequality:


Multiply both sides by 3


Subtract 172 from each side of the inequality


Also,


Multiply both sides by 3


Subtract 172 from both sides of the inequality


Combining both together, the possible values of her third quiz score would be:

There are 12 inches in a foot and if a yard is 3 feet then do:
3 x 12 and you get 36in
So there are 36 inches in a yard
It appears that you have a derivative and want to integrate...
dy/dx=1+3√x
y(x)=x+(2/3)x^(3/2)+C you are given that f(4)=25 so we can solve for the constant of integration...
y(4)=25=4+16/3+C
21=16/3+C
(63-16)/3=C
47/3=C so
f(x)=x+(2/3)x^(3/2)+47/3
f(x)=(3x+2x^(3/2)+47)/3