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.
Area=πr^2
find the area then divide by 8
we know that diameter=2radius or diameter/2=radius so
12=diameter
12/2=radius=6
subsitute
area=π(6)^2
area=36π
divide 36π by 8
36π/8=18π/4=9π/2π=4.5π
area of one section is 4.5π square feet or if we aprox pito 3.14159 then we get
4.5(3.14159)=area=14.1372 square feet or 14.14 square feet
Answers: 7x^2y^2 -3x+6y
I am not sure how to explain it but here you go
Answer:
y = x + 15
Step-by-step explanation:
okay so you're gonna use the y2-y1/x2-x1 formula to find the slope (m)
24 - 19/9 - 4 = 5/5 = 1
so that is your slope (m)
and now if you follow your slope then you should get your y-intercept (b)
4 - 1 = 3 19 - 1 = 18
(3, 18)
3 - 1 = 2 18 - 1 = 17
(2, 17)
2 - 1 = 1 17 - 1 = 16
(1, 16)
1 - 1 = 0 16 - 1 = 15
(0, 15)
so thats your y-intercept (b)
and the equation will look like:
y = mx + b y = x + 15 or y = 1x + 15 (but the 1 isn't necessary)
