The average (arithmetic mean) of y numbers is x. if 30 is added to the set of numbers, then the average will be x − 5. what is the value of y in terms of x ?

y =

Step-by-step explanation:

Let the total numbers are n.

If the average of y numbers is x then we can form an equation

⇒

⇒ n = --------(1)

Now 30 is added to the set of numbers then average becomes (x - 5)

⇒

⇒ (n + 1) =

⇒ n = - 1 ----- (2)

Now we equate the values of n from equation 1 and 2

= - 1

y(x - 5) = x(y + 30) - x(x - 5)  [ By cross multiplication ]

xy - 5y = xy + 30x - x² + 5x

xy - xy - 5y = 35x - x²

-5y = 35x - x²

x² - 35x = 5y

y =

the answer is 31.27mph

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1