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# i need help :( Radical and Rational Expressions

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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. Apr 20, 2022

#1
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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   Apr 20, 2022
#2
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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)   Apr 20, 2022
#3
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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   Apr 20, 2022
#4
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dng dat long

Apr 21, 2022
#5
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