Os números são 1180 e 440. <span>¡Espero que esto ayude!</span>
$48 (because you would do $60•0.20=$12 so then you would do $60-$12=$48)
Answer:
h(5) = 7
Step-by-step explanation:
Step 1: Define
h(x) = 2x - 3
h(5) is x = 5
Step 2: Substitute and Evaluate
h(5) = 2(5) - 3
h(5) = 10 - 3
h(5) = 7
Answer:
x > 6 and x ≤ 10
Step-by-step explanation:
You have to sleep for more than 6 hours, which means it is greater than and can not be equal to because it has to be more than 6 hours.
For the second problem, at most includes the 10th person so x is less than or equal to 10.
Hope this makes sense!!
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
