To translate 5 units left, add 5 to every x
to move up 10 units, add 10 to whole equaiotn example
y=2x+2
move left 5
y=2(x+5)+2
move up 10
y=2(x+5)+2+10
Answer:
2
Step-by-step explanation:
Calculate the distance (d) using the distance formula
d = √(x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (4, - 6)
d = 
= 
= 
= 
= 
= 
× = 2
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.
The expression can be simplified as:
k^3(k7/5)^-5
= k^(3+-5) * (7/5)^-5
(Collecting the powers of k at one side and the constants at other side)
= k^-2 * (5/7)^5
(Solving thr integer powers)
= k^-2 * (3125/16807)
