Answer:
The two numbers are 5 and 1. Their product is 5
Step-by-step explanation:
x + y = 6 (*)
x - y = 4 (**)
Let (*) + (**)
--> (x+y) + (x-y) = 6 + 4
<=> 2x = 10 <=> x = 5
Substitute x= 5
(*) <=> 5 + y = 6
<=> y=1
Answer: (x,y) = (5,1)
Their product: x.y = 5x1 = 5
Answer:
784m^2
Step-by-step explanation:
is a rectangle with sides of 40m and 20m, in the upper right corner a right triangle has been removed with the legs of: 40 - 32 = 8m and 20 - 16 = 4m, we find the area of the rectangle (b * h).
40 * 20 = 800m ^ 2, then we find the area of the right triangle
1/2 b * h: 1/2 8 * 4 = 16 m ^ 2.
we remove the area of the triangle from the rectangle and we have the area of the figure: 800 - 16 = 784m^2
<span>p1=44/88=.50; p2=57/85=.67.
Under the null hypothesis of no difference, we pool the data to estimate the
common p of (44+57)/(88+85)=.584.
The test statistic is (.67-.50)/sqrt[(.584)(1-.584)(1/88 + 1/85)]=2.268 (which is stat sig. at a .095 level).</span>
Answer:
Step-by-step explanation:
First, note this parameters from the question.
We let x = number of $5 increases and number of 10 decreases in plates sold.
Our Revenue equation is:
R(x) = (300-10x)(10+5x)
We expand the above equation into a quadratic equation by multiplying each bracket:
R(x) = 3000 + 1500x - 3000x - 1500x^2
R(x) = -1500x^2 - 1500x + 3000 (collect like terms)
Next we simplify, by dividing through by -1500
= 1500x^2/1500 - 1500x/1500 + 3000/1500
= X^2 - x + 2
X^2 - x + 2 = 0
Next, we find the axis of symmetry using the formula x = -b/(2*a) where b = 1, a = 1
X = - (-1)/2*1
X = 1/2
Number of $5 increases = $5x1/2 = $2.5
=$2.5 + $20 = $22.5 ticket price gives max revenue.
