Answer:
price = $190
quantity = 950 tickets
Step-by-step explanation:
revenue = price * quantity
n = number of $10 price reductions
price = 300 - 10n
quantity = 400 + 50n
r = (300 - 10n)(400 + 50n)
recognize these as the factors of a quadratic that opens down
the vertex will therefor be the maximum revenue
the roots are:
300 - 10n = 0
300 = 10n
n = 30
400 + 50n = 0
50n = -400
n = -8
vertex is at mid point of the roots
n = (-8 + 30)/2
n = 11
price = 300 - 10n
price = 300 - 10(11)
price = 190
quantity = 400 + 50n
quantity = 400 + 50(11)
quantity = 950
Step-by-step explanation:
formula of trapezoid's area =1/2(a+b)(height)
a/b= upper or below part of trapezoid
area of trapezoid=1/2 (4+7)(5)
=1/2 (11)(5)
=27.5cm²
sides: 13, 85, 84
-> scalene or acute triangle (all sides are not equal and are less than 90 degrees)
if they ask for side, it is scalene
if they ask for angle, it is acute.
The second one : f(x) = x+3, x<0
= 3, x>=0
Answer:
y=-5x+1 (without point p)
Step-by-step explanation:
Identify the slope of y= -1/5x+2:
m=1/5
*The perpendicular slope is the negative reciprocal of the given slope, in this case 1/5 is that given slope.*
So, the slope of the line perpendicular would be:
mp(slope perpendicular)= -5
Then you construct the line equation with just a general b in this case which gives you the equation:
y= -5x+1
The equation is then put into standard form to find the equation for point p (not positive if this what was meant by the question if so this'll give you the correct answer) ax+by=c :