Answer:
7/3
Step-by-step explanation:
The distances have the ratio ...
(Q -P) = (2/3)(R -P)
Q = P +(2/3)R -(2/3)P = (2R +P)/3
Qy = (2Ry +Py)/3 = (2·0 +7)/3 = 7/3
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
Answer:1.32 s
Step-by-step explanation:
Given
The initial height of ball H=2 m
Initial velocity u=5 m/s
Height of ball at any instant is given by
The ball will hit the ground when h=0
Answer:
Commutative property w.r.t '+'
Step-by-step explanation:
3+2 =3+2
As both side contain two variable and both are adding and their answer is also same.
5=5
so this is commutative property with respect to addition.
