Consider the following equation. -16p + 37 = 49 -21p select the equation that has the same solution as the given equation. a. -55 + 12p = 5p +16 b. -5 + 0.44p = 7- 1.25p c. 2 + 1.25p = -3.75p + 10 d. -14 + 6p = -9 - 6p

None has the same solution.

Step-by-step explanation:

The given equation is :

Grouping the like terms together.

=>

=>

=>

Now lets check which option has the same solution.

A.

=>

=>

=>    (wrong answer)

B.

=>

=>

=>         (wrong answer)

C.

=>

=>

=>       (wrong answer)

D.

     (wrong answer)

So, none is the answer. No equation has the same solution like the above given equation.

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: