Question

PLEASE HELP ASAP I ONLY HAVE TILL 4:30 TO FINISH THREE TESTS!

A film set designer is using white and colored tiles in a pattern to create paths of different lengths. If x is the length of the path in feet, the number of colored tiles needed to make it is calculated using the rule

(4x2y3)(3x2y2)

where y represents the number of white tiles.

Which simplified expression represents the number of colored tiles used for a path of length x feet?

7x4y5
7x4y6
12x4y5
12x4y6

Answer 1

Option C.
`12x^(4)y^(5)`

Explanation:

If x feet is the length of the path, the number of colored tiles needed to make it is calculated using the rule as

(4x²y³)(3x²y²)

Here y represents the number of white tiles.

Now simplified expression that represents the number of colored tiles used for a path of x feet length will be

= (4×3).(x².x²)(y³.y²)

=
`12.[x^((2+2))].[y^((3+2))]`

=
`12x^(4)y^(5)`

Therefore option C. is the answer.

Answer 2

(4x²y³)(3x²y²)

4 * 3 = 12
x² * x² = x * x * x * x = x^4
y³ * y² = y * y * y * y * y = y^5

12x^4y^5 third option.