A school basketball team has an expense account and a fundraising account. After t weeks, the balance of the expense account is (500−60t) dollars and the balance of the fundraising account is (175+42t) dollars. a. Write an expression in simplest form that represents the total amount (in dollars) in both accounts after t weeks. An expression is ( ) dollars. b. What is the total amount (in dollars) in both accounts after 11 weeks? Amount after 11 weeks: $

a. $(675-18t)

b. $477

Step-by-step explanation:

a. We are to write an expression that shows the total amount in both accounts.

Mathematically that would be; amount in the expense account + amount in the fund raising account

That would be ; 500-60t + 175 + 42t = 500+175-60t + 42t = 675 - 18t

The total amount in both accounts is $(675 - 18) after t weeks

B. after 11 weeks, what we do is to just substitute the value of 11 for t in the added equation above

Thus;

675 -18t = 675-11(18) = 675 - 198 = $477

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

3, 12, 48, 384, 1536, 6144, 24576, 98304

step-by-step explanation:

just keep timing it by 4.