Aculture started with 6,000 bacteria after 6 hours it grew to 7,200 bacteria predict how much it will grow in 17 hours

Step-by-step explanation:

To perform this calculation we must use the exponential growth formula

The exponential growth formula is

Where

A is the main coefficient and represents the initial population of bacteria

e is the base

k is the growth rate

t is time in hours.

Let's call t = 0 to the initial hour.

At t = 0 the population of bacteria was 6000

Therefore we know that:

bacteria

After t = 6 hours, the population of bacteria was 7200

Then .

Now we use this data to find the variables a, and k.

.

Then:

Finally the function is:

After 17 hours:

So the population of bacteria after t=17 hours is:

r=0.03

A=9,991.7

Step-by-step explanation:

We will use the following formula to find the rate of growth:

Here,

r=0.03

Now we will predict how many bacteria will be present after 17 hours using the same formula:

A=9,991.7

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

the entire expression should be subtracted from 30. to subtract the quantity, distribute the negative sign, which changes the signs on the terms. so, the –2 changes to positive and gets added to 30 instead of subtracted from it.

hope this ! ^w^