+19 1. A basketball player made 3 out of 8 free throws she attempted which is 37.5%. She wants to know how many consecutive free throws more in a row she would have to make to raise her overall successful baskets divided by attempts or percent of successful free throws to 75%. (a) Write an rational equation to represent this situation with the variable x as the UNKNOWN number of consecutive attempts needed to raise her average. (b) Solve the equation for x, show steps algebraically. Solve and show how many consecutive free throws would she have to make to raise her percent to 75%?
2 .. Simplify the expression 
Show your work. NOTE: Must show your factoring work using either the big X strategy covered in class, or the quadratic formula method. Must show how you get factors. Not just give me factor
3.
+129899 1. Let C be the number of consecutive free throws...so we have
3 + C
______ = .75 simplify as
8 + C
3 + C = .75 ( 8 + c)
3 + C = 6 + .75C
C -.75C = 6 - 3
.25C = 3
C = 3 / .25 = 12 = number of consecutive free throws
+129899 2.
(2x - 22 ) /(x^2 - 15x +44)
We want two integers that multiply to 44 and sum to -15.... .-11 and -4 do the trick
2 ( x - 11) / [ ( x x -11 ) ( x -4) ] =
2 / (x -4)
+129899 3.
Work with the denominator, first
3 / x - 1 / (x + 1) = 3 ( x + 1) - 1x 2x + 3
_____________ = _________
x ( x + 1) x ( x + 1)
The numerator factors as 2 ( 2x + 3)
So we have
2 ( 2x + 3) 2 ( 2x + 3) * x (x + 1)
__________________ = __________________ = 2x ( x + 1) = 2x^2 + 2x
[2x + 3] / [(x) (x + 1)] 2x + 3
