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larry’s landscaping charges $235 for spring cleanups and $30 for weekly lawn maintenance. joe’s landscaping charges $185 for spring cleanups and $35 for weekly lawn maintenance. the system that models this situation is given, where c is the cost of lawn maintenance and w is the number of weeks.
c = 235 + 30w
c = 185 + 35w
the solution to the system is (10, 535).
which interpretation correctly describes the solution to the system of equations?
a. larry’s landscaping will charge more money on the tenth week by charging $535.
b. joe’s landscaping will charge more money on the tenth week by charging $535.
c. the cost for lawn maintenance is the same, $535, for both landscaping companies after 10 wk.
d. a customer can have his or her lawn maintained for a maximum of 10 wk. the customer will pay a total of $535.

step-by-step explanation:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1