Answer:
16428 oranges
Explanation:
Total yield = number of trees × number of oranges in each tree
Initial yield = 600×24= 14400 oranges
To find the equation needed, let x = additional trees and y= total yield
Number of trees = 24 +x
Number of oranges in each tree = 600-12x
Equation of total yield y= (24+x)(600-12x)
y= 14400-288x+600x-12x²
y= -12x²+312x+14400
Using a graphing calculator, from the graph drawn for this quadratic equation, we notice that it is a parabola. Therefore to find the maximum value, we should find the maximum point which is at the vertex of the parabola, we use the formula x= -b/2a
A quadratic equation is such: ax²+bx+c
Therefore x =-312/2×-12
x= -312/-24
x= 13
So we can conclude that in order to maximise oranges from the trees, the person needs to plant an additional 13 trees. Substituting from the above:
24+x=24+13= 37 trees in total
y= -12x²+312x+14400= -12×13²+312×13+14400= -2028+4056+14400
=16428 oranges in total yield
By the definition for the absolute value,
So for the compound function
, there are three intervals to consider. What happens when
? when
? when
?
You have
Answer:
The difference between the two weekly salaries is $122
Step-by-step explanation:
One job pays $64,600 per year. Since there are 52 weeks in a year, the weekly salary for this job is the quotient: $64600/52 = $1242.31 which rounded to the nearest dollar gives: $1242 per week
The other job pays $1120 per week. Therefore the difference in weekly salary for the two is:
$1242 - $1120 = $122
1) his time would have to be less than 11.54
2)each member would have to run a time of about 11.91
3) Assuming that Dwane ran a time of 11.53 the average amount of time it took each member to run the 100 meters will be about 12.2 seconds per 100 meters
Answer:
11 because adjacent is basically next to and NKL is 12
Step-by-step explanation:
