- A basketball player made 3 out of 4 free throws she attempted. She wants to know how many consecutive free throws more in a row she would have to make to raise her overall percent of successful free throws to 90%.

- Write an equation to represent this situation.
- Solve the equation. How many consecutive free throws would she have to make to raise her percent to 90%?

1 pt for correct answer to part (b),4 pts for showing steps you took to get the correct answer and showing the formula with variable x that you used in part (a).

Note:correct answer to part (a) has only one variable, the variable x.

X represents how many more consecutive tries she needs to make in a row

to raise her overall average up to 90%.

Answer**:**

- Simplify the expression (x^(2)+3x-10) / (x^(2)-6x+8) 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 factors.

Answer:

- Write the expression as a simplified rational expression. Show your work. (2x+1)/((1)/(x)+(1)/(x+1))

Answer:

Guest Jan 16, 2020

#1**+1 **

A basketball player made 3 out of 4 free throws she attempted. She wants to know how many consecutive free throws more in a row she would have to make to raise her overall percent of successful free throws to 90%.

Call x the number of additional successful free-throws

So we have

3 + x

____ = .90 cross-multiply

4 + x

3 + x = .90 ( 4 + x) simplify

3 + x = .3.6 + .90x subtract 3, .90x from both sides

.1x = .6 divide both sides by .1

x = 6 = number of additional successful free-throws

CPhill Jan 16, 2020