Simplify
10/3
Convert to a mixed fraction
3 1/3
Step 1 distribute the 5 across (8+0.2)
6^3+5(8+0.2)
6^3+40+1
6^3+41 (<em>I simplified the +40 and the +1</em>)
Step 2 take 6 to the power of 3
6^3+41
6x6x6 6x6=36 36x6=216
216+41 (<em>Simplify!</em>)
257
I hope this helped!
Cubic Function Form:
y=
However here we only need ax^3 and +d
ax^3 makes the graph wider or skinnier or reflects it if negative.
So the first coefficient will be negative since we want to reflect it along the x axis
To move left three we will have to add 3 to the ax^3 giving us something like (x+3)^3
To move up 5 we set our y intercept (the +d part) to d=5.
Combing everything together gives us (x+3)^3+5
Given that x=number of days
To model the expressions we use the exponential growth given by:
y=a(b)^nx
where:
a=initial value
b=growth factor
n=24 hours
thus Colby's experiment will be:
y=50(2)^(1/2*24*x)
y=50(2)^(12x)
N/B we multiply by 24 so as to convert days into hours
b] <span>Jaquan's starts with 80 bacteria that double every 3 hours.
a=80, b=2
thus
y=80(2)^(1/3</span>×24×x<span>)
simplifying the above we get:
y=80(2)^(8x)</span>
