Irene is making a patchwork quilt. She has completed a rectangular section that is 2 patches long and 3 patches wide. Each week, she plans to make the quilt one patch longer and 2 patches wider. The total number of patches in the quilt after x weeks is given by the product: (___) • (___) The total number of patches in the quilt after x weeks is given by the product: (___) • (___) What goes in the blanks?

is the total number of patches in the quilt after 'x ' weeks.

Step-by-step explanation:

Given:

Irene has completed rectangular section which is 2 patches long and 3 patches wide.

To find:

Formula for number of patches after x weeks.

Solution:

Total number of patches in the first week = 2 + 2 +2 = 6

OR

we can simply calculate the number of patches by multiplying 2 with 3.

Given that every week,

The quilt will be one patch longer and 2 patches wider.

After number of weeks,

The quilt will be patches longer and patches wider.

OR

The quilt will be patches longer and patches wider.

Initially, it was 2 patches long and 3 patches wide.

So, after x weeks:

The quilt will be patches longer and patches wider.

And total number of patches, after x weeks will be given as:

for this pair of functions g(x)=x-2 and f(x)=|x| is (g o f)(a)= |a| -2

step-by-step explanation:

g(x)=x-2

f(x)=|x|

(g o f)(a)=?

(g o f)(x)=g(f(x))

(g o f)(x)=g(|x|)

(g o f)(x)=|x|-2

(g o f)(a)=|a|-2