To begin a bacteria study a petri dish had 2200 bacteria cells every hours since the number of cells has increased by 3.8% let t be the number of hours since the start of the study let y be the number of bacterial cells write the exponent to function showing the relationship between y&t

Therefore the required relationship is

Step-by-step explanation:

Given that, to begin a bacteria study a petri dish had 2200 bacteria cells every hours.

The growth of bacteria is in exponential.So we use the following formula

A= Total amount =y = the number of bacteria cell

P= initial value = 2000

r= rate of increase = 3.8%= 0.038

n = time = t

Putting the all values

Therefore the required relationship is

(a ± b)² = a² ± 2ab + b² . . . . . . . (signs match)

The middle term is twice the product of the roots of the other two terms. This tells you the terms of the binomial are the square roots of the end terms.

The sign in the binomial will match the sign of the "2ab" term. The order of terms in the binomial doesn't matter. (a±b)² = (b±a)² when signs match.