Topic 5 Assessment Directions
1
5-D
April works at a gym. She earns $675 per month. She is paid an additional $7.50 for each new membership she sells, April wants to earn more than $900 this
month.
If m is the number of new memberships April sells, which inequality represents this situation, and what quantities are true for m?
675m + 7.5 > 900, where m > 30
675 +7.5m > 900, where m > 30
675m + 7.5 < 900, where m < 30
675 +7.5m < 900, where m < 30

180 square centimeters

step-by-step explanation:

the polynomial is a perfect square trinomial of the form a^2-2ab+b^2:

option a. true

step-by-step explanation:

9x^2-12x+4

comparing with the form a^2-2ab+b^2

1.) a^2=9x^2

solving for a: square root both sides of the equation:

sqrt(a^2)=sqrt(9x^2)

a=sqrt(9) sqrt(x^2)

a=3x

2.) b^2=4

solving for b: square root both sides of the equation:

sqrt(b^2)=sqrt(4)

b=2

to be a perfet square trinomial 2ab must be equal to 12x. let's check:

2ab = 2 (3x) (2)

2ab = 12x

correct