Bruce wants to make 50 ml of an alcohol solution with 12% concentration. He has a 10% alcohol solution and a 15% alcohol solution. Which equation can bruce use to determine how much of the 10% alcohol solution he should use?
A) 0.10x+0.15(50-x)=50+0.12
B) 0.10x+0.15(50-x)=0.12(50)
C) 0.10x+0.15(50-x)=50+0.12+0.12(50)D) (0.10x)(0.15)(50-x)=0.12(50)

a=r

d=q

c=p

b=s

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let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: