(2,0) and (-1/2,0) is the correct answer
First simplify the equation of parabola

in the following way:

.
You can see that if x=1 or x=2, then y=0. Two points of intersection with x-axis are (1,0) and (2,0).
I: 635=dimes*10+quarters*25
or shorter
635=d*10+q*25
II: d=q*3+3
Substitute II (d=3q+3) into I to replace d:
635=d*10+q*25
635=(3q+3)*10+q*25
635=30+30q+25q
605=55q
11=q
-> 11 quarters
"What expression represents the number of dimes if q represent quarters"
insert q=11 into II:
II: d=q*3+3
d=11*3+3
d=33+3
d=36
The answer is a. -24.8, -2.81, 1.13, -2.81, 24.1
This is because the larger a negative number is, the lower its value is. So, when putting numbers from least to greatest, you put the largest negative numbers first, and then work your way up to zero. Then, you start counting upwards with your positive numbers.