We factor the equation to get:
-(x-25)^2+361
In the form a(x-h)^2+k, the vertex is (h, k), so the vertex is (25, 361). This means that the studio makes the most profit from selling 25 memberships, and thus makes 361 dollars.
B. The x-intercepts are the values of x for which f(x) is 0. This equation can be factored as (-a+6)(a-44)=0, with solutions 6 and 44. Therefore, by selling either 6 memberships or 44 memberships, the studio breaks even, neither making nor losing money.
Answer: The answer is 6n+7y
Step-by-step explanation: All you have to do is add like terms
Skylar went 13ft per second
Rodrigo went 13 1/2 ft per second
So, 1/2 a ft per second
Answer: (v + 7)(v -3)
Step-by-step explanation:
(v +7)(v -3)
v x v = v^2
v x -3 = -3v
7 x v = 7v
7 x -3 = -21
v^2 -3v +7v -21 = v^2 +4v -21 = 0
Potential roots have the format
factors of the constant term
-------------------------------------
factors of the initial term
Here, 7/3 is the only possible root that has a 7 in the numerator and a factor of 9 in the denominator.
Verify that 7/3 is a root using synthetic division.