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:
5 students from Westville Elementary school re on a field trip. They come to a hot dog stand and no one has money. One student's parents has a tab at the hot dog stand. So the student, along with the four others, decide to order food and put it on the tab. Each hot dog is 1/3 of a dollar. They would like to know how much they are in debt.
5 times the negative (-1/3) for each hot dog.
-1 and 2/3 dollars
Glad I was able to help!!
Well the answer options are a bit confusing but the steps are 1, 2, & 3.
Answer: B.
Y = 4x
Step-by-step explanation:
Given that the side of a shape is x
The perimeter of the shape is y
Perimeter of a rectangle can be expressed as:
P = 2L + 2W
Where L = length and W = width
But if the shape is a square, and the side of the shape is x, then, the perimeter will be
P = 4x
Where perimeter P = Y
Therefore, perimeter Y will be;
Y = 4x
Therefore, the correct answer is B which is:
Y = 4x
Answer:
x+55=2x-15 [being corresponding angle
55-15=2x-x
40=x
