3X - 4Y = 9
-3X + 2Y = 9
first step is try to get rid of one of the variables and solve for the other one. In this example you dont need to manipulate the equations to get one variable to cancel.
the x term cancels out. add both equations
-2y = 18
y= - 9
now we plug the y term back into an original equation and solve for x
3x - 4(-9)=9
3x=-27
x=-9
hope that helps
Answer:
Mean: 20
Median: 20
Step-by-step explanation:
Mean: 10, 15, 18 22, 25, 30 =120/6=20
Median: 10, 15, 18 22, 25, 30= 18+22=40/2=20
Answer:
0.64
Step-by-step explanation:
Divide and multiply by 100.
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
Solution :
The term 'literacy rate' provides the ability of a person who is from a definite age group can read or write.
a). 
does not determine the rate at which the variable explains another, but it explains the amount the amount of variability in one of the variables as explained by the other variable.
b). The slope given provides an expected improvement but it cannot guarantee the improvement. The value may be less or it could be more also.
The regression model provides the prediction and not the actual values.
