Answer:
D 5
Step-by-step explanation:
the same scaling factor s applies to all sides when transforming from the small to the large triangle.
x×s = x + 5
(x-2)×s = x +1
=> s = (x+5)/x
=> (x-2)×(x+5)/x = x + 1
=> x² + 3x - 10 = x² + x
=> 3x - 10 = x
=> 2x = 10
=> x = 5
Answer:
Each Caramel Macchiato is $5.60
Step-by-step explanation:
You could write the equation 5x+7=35
x stands for the price of each macchiato
the +7 is the $7 left-over after getting 5 macchiatos.
Then solve the equation.
1) subtract 7 on both sides
5x=28
2) divide by 5 on both sides
x=5.60
Since a $5 decrease in price increases customers by 20 we can say that we have two points:
(125,100) and (120,120), from these we can find the slope or rate of change of customers as a function of price...
m=20/-5
m=-4
m=-4
c(p)=-4p+b, now we can use (125,100) to solve for b
100=-4(125)+b
100=-500+b
600=b, so our number of customers as a function of price is:
c(p)=600-4p
Revenue will simply be the number of customers times the price charged per customer...or p*c(p):
r(p)=600p-4p^2
We can find price that creates maximum revenue by finding when the derivative is equal to zero...
dr/dp=600-8p
dr/dp=0 only when
0=600-8p
8p=600
p=75
So the price that maximizes revenue is $75.
Answer:
Pi—which is written as the Greek letter for p, or π—is the ratio of the circumference of any circle to the diameter of that circle. Regardless of the circle's size, this ratio will always equal pi(3.1415).
There are two radii in one diameter. The formula for circumference is pi*d when using diameter which explains the two in front of the formula given by your teacher.
Step-by-step explanation:
