What value of c makes the polynomial below a perfect square?
x^2+16x+c
c=

c=64

Step-by-step explanation:

A perfect square is a number made by squaring another number, such as 4 x 4 or 5 x 5.

Think about how you would normally factor a trinomial. When doing so, you need two numbers that multiply together to give you the third term (c in this case) and add together to give you the middle term (16 in this problem).

Ask yourself, what numbers can I add to get 16 and multiply to get a perfect square? The number you are looking for here is 8.

So, the perfect square of this trinomial would be x^2+16x+64 because 8 x 8 is 64 and 8 + 8 is 16.

The factored version of it would be

(x+8)(x+8)

$35.59 in pounds

step-by-step explanation:

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: