Well, we know that it costs $60 plus 5 per month for Alpha Fitness Club.
We also know that it costs $20 plus 10 per month for Omega Fitness Club.
In order to find out which one would cost the most, we must add the additional costs to the original join cost.
(NEVER add the join cost, just do the join cost at the beginning or else the clubs will never become the same cost.)
Club M1 M2 M3 M4 M5 M6 M7 M8 M9
Alpha: 60 65 70 75 80 85 90 95 100
Omega:20 30 40 50 60 70 80 90 100
If you look above, you realize that there is a time when they both cost the same.
Summary sentence:
After 9 months, the cost to belong to either fitness club would be $100.
1) You must add 4 to each side to complete the square.
2) You must add 16 to each side to complete the square.
3) You must add 27 to each side to complete the square.
Explanation:
1) x²-4x=0
To find the number that we add to both sides, we look at b, the cofficient of x. It is -4. We divide it by 2 and square it; -4/2 = -2; (-2)² = 4. This is the value that we add to both sides.
2) x²-8x=6
-8/2 = -4; (-4)²=16
We add 16 to each side to complete the square.
3) 3x²+18x=24
First we can factor a 3 out of the left side:
3(x²+6x) = 24
Our b value is now 6. 6/2 = 3; 3²=9. The 9 would, however, go in the parentheses, so it would be multiplied by 3, which makes 27; this means we would add 27 to both sides.
Answer:
A , B , C
Step-by-step explanation:
1) find the slope of the given line
slope = (-a/b) = (-8/4) = -2
two parallel lines have the same slope
A : correct
B : (-a/b) = -16/8 = -2 (correct)
C : correct
D : wrong (2 is different from -2)
The coefficient C-term is 1 in problem. The coefficient is the number before the variable of said equation. Example, the coefficient of X for thus problem 4x-4y is 4 the number BEFORE the variable, never variable itself it won’t ever be 4x
