Let's compare two ant colonies: Ant Colony A and Ant Colony B. We will use a function, a table, and a
graph to compare these two ant colonies.
Ant Colony A: The function a(x) = 210(1.12) represents
the number of ants in Ant Colony A, x days after an
experiment starts. There is also a table provided for Ant
Colony A on the whiteboard.
Ant Colony B: There is a graph on the whiteboard that
represents the number of ants in Ant Colony B during
the same time period.

the ratio of balloons to tables is 5: 2 and the constant variation is 5.

the equation is y=5x

answer: b

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