Answer: -1/9 which is <u>choice B</u>
Explanation:
The term "zeros" refers to the x intercepts.
Plug in y = 0 and solve for x.
y = -9x-1
0 = -9x - 1
9x = -1
x = -1/9
2x + y = 20
-5y = -6x + 12
To use the substitution method, first isolate one of the variables in one of the equations.
Isolate the "y" in the first equation (because it is the easiest to isolate), and substitute it into the second equation:
2x + y = 20 Subtract 2x on both sides
y = 20 - 2x
-5y = -6x + 12 (since y = 20 - 2x, you can substitute 20 - 2x into y)
-5(20 - 2x) = -6x + 12 Multiply -5 into (20 - 2x)
-100 + 10x = -6x +12 Add 100 on both sides
10x = -6x + 112 Add 6x on both sides
16x = 112 Divide 16 on both sides
x = 7
Now that you have found x, you can substitute 7 into x for one of the original equations:
2x + y = 20
2(7) + y = 20
14 + y = 20 Subtract 14 on both sides
y = 6
-5y = -6x + 12
-5y = -6(7) + 12
-5y = -42 + 12
-5y = -30 Divide -5 on both sides
y = 6
x = 7, y = 6
When handling problems of this nature make sure you setup the equations.
x = number of times they rent a boat.
Members
Cost = 105 + 9.50x
Non members because members don't have to pay the 105 we leave it out.
Cost = 14.75x
so now to determin when cost would be equal we set the two equations = to each other
105 + 9.50x = 14.75x
now solve for x
105 = 5.25x
20 = x
so they would have to rent 20 times to equal each other.
Answer:
or 200.173913
Step-by-step explanation:
