Combine place value strategy is useful if you try to subtract a number with bigger digits from a number with a smaller digit in the same place... such as now, where 3 is smaller than 9 in the ones place.
Then we can combine two place values: 23 and 19 and subtruct those. 23-19 is 4 (you can just count up from 19 to 23), so you know that the two will give the result of 04, and then you can proceed to the left: 2-1=1.
so the final result will 104.
For this case we have the following function:
f (t) = -16t2 + 48t + 100
The average rate of change is:
(f (t2) - f (t1)) / (t2 - t1)
We have then:
For t1 = 3:
f (3) = -16 * (3) ^ 2 + 48 * (3) + 100
f (3) = 100
For t2 = 5:
f (5) = -16 * (5) ^ 2 + 48 * (5) + 100
f (5) = -60
Substituting values:
AVR = (-60 - 100) / (5 - 3)
AVR = -80
Answer:
The average rate of change of f (t) from t = 3 seconds to t = 5 seconds is -80 feet per second.
Answer:
N(x) = 40 - 2x
P(x) = -2x² + 52 x - 240
maximum profit = 13
Step-by-step explanation:
given data
feeder cost = $6
average sell = 20 per week
price = $10 each
solution
we consider here price per feeder = x
and profit per feeder id here formula = x - 6
so that here
total profit will be
P (x) = ( x - 6 ) Nx
here N(x) is number of feeders sold at price = x
so formula for N (x) is here
N(x) = 20 - 2 ( x - 10 )
N(x) = 40 - 2x
so that
P(x) = (x-6) ( 40 - 2x)
P(x) = -2x² + 52 x - 240
since here
a = -2
b = 52
c = -240
a < 0
so quadratic function have maximum value of c -
so it will be
maximum value = -240 -
maximum value = 98
so here maximum profit attained at
x = 
x = 
x = 13
maximum profit = 13
<h3>
They should charge $2.68 per lemonade serving in order to earn $20 profit in total.</h3>
Step-by-step explanation:
The amount spent on the ingredients = $20.16
The number of servings prepared = 15
The profit to b made in total = $20.00
Let us assume the minimum selling amount of per serve of lemonade = $ m
So, the selling amount of 15 per serving = 15 x ( cost of each serving)
= 15 x ( $ m) = 15 m
Now, Profit = Total Selling price - Total Cost price
⇒ $20 = 15 m - $20.16
or, 40.16 = 15 m
or, m =
⇒ m = 2.6773333
Now, rounding off to nearest hundredth, as 7 > 5 so 2,677333 ≈ 2.68
Hence, they should charge $2.68 per lemonade serving in order to earn $20 profit in total.