Question

PLEASE HELP ITS TIMED I DONT NEED BIG EXPLAINATION

Jane uses red and blue square tiles to make a design. Her design includes 4 squares that are each x tiles long. She has exactly 16 red tiles and uses them all in her design. The number of blue tiles in her design is modeled by the function b(x)=4x2−16

.


How can b(x)

be written to show how long Jane's squares are when her design includes zero blue tiles?


A

b(x)=4(x2−3.5)−2

B

b(x)=4(x2−4)

C

b(x)=4(x+2)(x−2)

D

b(x)=4(x2−2)−8

Answer 1

(C ) b(x)=4(x+2)(x−2)

Explanation:

We are given

The number of blue tiles in her design is modeled by the function b(x)=
`4x^2-16`

if the no of blue tiles used is zero then

b(x) =
`4x^2-16` = 0

`x^2 = 16/4` = 4

x = +2 and -2

this is the condition for blue tiles

Modelling

b(x) = 4(x+2)(x-2)

This means when the blue tiles used are zero, then we use 2 red tile on each of the two square of 4 square. so the length will be 4 tiles long and its a square so 4x4 = 16 red tiles.