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
1/40+1/50=1/n
5/200+4/200=1/n
9/200=1/n
9n=200
n=200/9 minutes for both of them to prepare the field
☺☺☺☺
Answer:
3x+6
x+x+2+x+4
» You can group the like terms, in this case, the x's and the numbers.
x+x+x+2+4
3x+6
Step-by-step explanation:
5^2 + b^2 = 9^2
25 + b^2 = 81
b^2 = 56
square root both sides and b = 7.48 cm
150-25=125mph
130-25=105
This means it was going 125mph and that it dropped an altitude of 25 degrees because of the wind and the slow down of the helicopter
