(p³)(2p² - 4p)(3p² - 1) = (p³)(2p²*3p² - 4p*3p² - 1*2p² - 4p*(-1)) =
= (p³)(6p⁴ - 12p³ - 2p² + 4p)
Answer: A)
Answer:
Express 5 72 in simplest radical form:
Factorize the 72 in your expression:
5√72 = 5√(2*2*2*3*3)
take a pair of two's and a pair of three's out of the radical sign:
5√72 = 5*2*3√2 = 30√2
this is the simplest radical form
Step-by-step explanation:
As you may already be familiar, these functions f(x) and g(x) are piecewise. They consist of multiple functions with different domains.
1. For #1, the given input is f(0). Since 0≤1, you should use the first equation to solve. f(0)=3(0)-1 ➞ f(0)=-1
2. Continue to evaluate the given input for the domains given. 1≤1, therefore f(1)=3(1)-1➞f(1)=2
3. 5>1, therefore f(5)=1-2(5)➞f(5)=-9
4. -4≤1; f(-4)=3(-4)-1➞f(-4)=-13
5. -3<0<1; g(0)=2
6. -3≤-3; g(-3)=3(-3)-1➞g(-3)=-10
7. 1≥1; g(1)=-3(1)➞g(1)=-3
8. 3≥1; g(3)=-3(3)➞g(3)=-9
9. -5≤-3; g(-5)=3(-5)-1➞g(-5)=-16
Hope this helps! Good luck!
Remember that the general decay equation is:

where

is the amount after a time


is the initial amount

is the the decay percent in decimal form
The first ting we are going to do is find

by dividing our <span>decay rate of 25% by 100%: </span>

.
We also know from our problem that

. Lets replace

and

in our formula:


We know now that our decay rate is 0.75, and since 0.75<1, we can conclude that
this situation represents exponential decay.
Now, to find the initial amount, we are going to solve our equation for

:


Notice that

will depend on the number of ours

. <span />