One way to be able to find out which one is greater is by making both the equations have the same denominator.
4/6= 32/48 and 3/8= 18/48
32/48>18/48 is 4/6>3/8
so basically 4/6 is bigger.
Answer:
a. Based on this information, construct a linear demand equation for Yoda vs. Alien T-shirts, and hence obtain the weekly revenue R as a function of the unit price x.
- y = 640 - 80x ⇒ demand equation
- xy = - 80x² + 640x ⇒ weekly revenue
b. The university administration charges the fraternities a weekly fee of $500 for use of the Student Center. Write down the monthly profit P as a function of the unit price x, and hence determine how much the fraternities should charge to obtain the largest possible weekly profit. What is the largest possible weekly profit?
Step-by-step explanation:
first, we must determine the slope = (400 - 240) / (3 - 5) = 160 / -2 = -80
the demand equation:
y - 240 = -80 (x - 5)
y = -80x + 400 + 240
y = 640 - 80x
total weekly revenue:
xy = -80x² + 640x
xy - 500 = -80x² + 640x - 500
max. profit ⇒ x = -640 / (2 x -80) = -640 / -160 = 4
maximum weekly profit = -80($4²) + 640($4) - $500 = -$1,280 + $2,560 - $500 = $780
Answer:
x=53°
y=24°
m∠x+m∠y
53+24=77
Step-by-step explanation:
Answer:
∠
°
Step-by-step explanation:
- The cosine of an angle is equal to the side adjacent to the angle over the hypotenuse, the longest side.
- We need to find the hypotenuse of this triangle. This is relativly easy to do with a right triangle; we can just use the Pythagorean Theorem.
- Pythagorean Theorem:
where 
, 
, and 
are the 3 different sides of a right triangle.
- Our hypotenuse is
. Now we can finish solving for ∠
.
∠°
Anything with || around it is a whole value. It’s always a positive. For example, |-56|=56. Now, if the negative was on the outside, it would be a negative like so; -|10| =-10
