44. bradley and ryan are having a contest to see who can collect the most bumper stickers. bradley started with 23 bumper stickers and plans to add 4 each month. ryan has 9 bumper stickers and plans to add 6 each month. after how many months will they have the same number of bumper stickers?

7 months

Step-by-step explanation:

Let the number of months be x

If Bradley started with 23 bumper stickers and plans to add 4 each month.

Then the total stickers Bradley have =

If Ryan has 9 bumper stickers and plans to add 6 each month.

Then the total stickers Ryan have =

To find x such that they have the same number of bumper stickers, we have

Hence, in 7 months  they will have the same number of bumper stickers.

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:

45.36 feet per second.

step-by-step explanation:

to find the most accurate determination for the number of feet per second tyrone traveled on his way to work let us convert miles to feet and minutes to seconds.

1 mile = 5280 feet.

1 minute = 60 seconds.

now we will divide 158400 by 3492 to find the most accurate determination for the number of feet per second tyrone traveled on his way to work.

therefore, tyrone traveled on his way to work at the rate of 45.36 feet per second.