This can be solved in two ways: With heavy tools or with just algebra.
What is your level? Have you studied calculus?
With pure algebra:
We need to find the maximum of the function <span>h = −16t^2 + 36t + 5
Lets take out -1 for simplicity:
</span><span>h = −(16t2 - 36t - 5)
For now lets just work with this: </span>16t^2 - 36t - 5
16t^2=(4t)^2
(4t-x)^2= 16t^2-2*4xt+x^2
we have -36t so x should be 4.5 as 2*4*4.5=36
Lets see what we have now:
16t^2 - 36t - 5= (4t-4.5)^2 is this true? No but close
(4t-4.5)^2= 16t^2- 2*4*4.5t +4.5^2= 16t^2-36t+20.25
16t^2 - 36t - 5 and 16t^2-36t+20.25 nearl the same just take away 25.25 from the right hand side
Getting long, just stay with me:
16t^2 - 36t - 5= (4t-4.5)^2 - 25.25
h= -{(4t-4.5)^2 -25.25}
h=-(4t-4.5)^2 + 25.25
We want to find the maximum of this function. -(4t-4.5)^2 this bit is always negative or 0, so it maximum is when it is 0. Solve: 4t-4.5=0
t=1,125
You need to do 175 divided by 3.
Answer:
with?
Step-by-step explanation:
Answer:
Step-by-step explanation:
To find f(a), replace x with a: f(a)=6−1a+15a^2
To find f(a+h), replace x with (a+h): f(a+h) = 6 -(a + h) + 15(a+h)^2
To find f(a+h)−f(a), expand f(a+h) as given above, and then subtract f(a):
f(a+h)−f(a) = 6 -a - h + 15(a^2 + 2ah + h^2) - [6 - a + 15a^2]
6 - a - h + 15a^2 + 30ah + 15h^2 - [6 - a + 15a^2]
This simplifies to: f(a+h)−f(a) = - h + 30ah + 15h^2
For a ratio make a fraction using the quantities of the colors.
You want the ratio of red to purple.
There are 16 red and 2 purple, so the ratio would be 16/2, which can be reduced to 8/1
