Answer:
5,120 bacterias
Step-by-step explanation:
Given the amount of bacteria after x hours modelled by the equation:
f(x) = 20(2)^x/12
Note that x is in hours not days
To calculate the number of bacteria that will be contained within the culture after 4 days, we will first convert 4days into hours since x is in hours.
24hours = 1day
xhours = 4days
x = 24×4
x = 96hours
Substituting x = 96 into the equation
f(96) = 20(2)^96/12
f(96) = 20(2)^8
f(96) = 20×2^8
f(96) = 20×256
f(96) = 5,120
The number of bacteria that will be contained after 4days is 5,120bacterias
Ok so we'll go ahead and solve for y first - we just need to get it alone on one side of the equal sign
Step 1: subtract 2x from each side
2x - 7y - 2x = 19 - 2x
This cancels out the 2x on the left, giving us
-7y = 19 - 2x
Step 2: divide both sides by -7
=
+ 
This gives us
y = -19/7 + 2x/7
That should be your answer for the first question. Now solving the next parts are easy. All you need to do is plug in x.
When x = -3
y = -19/7 + 2x/7
y = -19/7 + 2(-3)/7
y = -19/7 - 6/7
y = -25/7
When x = 0
y = -19/7 + 2x/7
y = -19/7 + 2(0)/7
y = -19/7
When x = 3
y = -19/7 + 2x/7
y = -19/7 + 2(3)/7
y = -19/7 + 6/7
y = -13/7
Hope that helps! Feel free to ask if I can help with anything else :)
Answer:
2 with the sqaure root of 12 is = 6.9 simp = 6.9
4 with the sqaure root of 10 is = 12.6 simp= 12.6
sum = 19.5
I hoped this helped! :)