Y=mx+b
b= y-intercept
-5=2/3x+b
answer: y=2/3x-5
Answer:
C:12
Step-by-step explanation:
should be 13.5
The first quartile (Q1) is defined as the middle number between the smallest number and the median of the data set.
so the middle number of 10,11,12,15,17,19 is 13.5 since 12+15=27/2=13.5
the closest answer choice is C! Hope this helped!
I might not be right but a is 2 and b is 16
Step-by-step explanation:
Answer:
arithmetic sequence
Step-by-step explanation:
Arithmetic sequences include adding or subtracting. It becomes a geometric sequence when you start multiplying and dividing.
a. R\p = (10 - q)*2
The inverse demand function is just the inverse function of the demand function. In other words, we just have to isolate p in the demand function:
p = (10 - q)*2
b. R\25
The price for 5 units of output is given by the inverse demand function:
p = (10 - 5)*2 = 10
We replace p in the profit function:
π(q) = 10 * 5 - 5² = 25
c. 3
For this one, we replace the inverse demand function in the profit function and derivate for q, then equate to 0 and solve:
π(q) = ((10 - q)*2)*q - q² = 20q - 2q² - q² = 20q - 3q²
dπ/dq = 20 - 6*q
20 - 6q = 0
q = 20/6 = 3.33333
Now, a decimal level of output makes no sense. So, now we try the nearest integers 3 and 4, and find the respectives profits. The output that has that maximum profit will be the one that maximizes the profit. Keep in mind, that this will only be true in this particular case because the profit function has the form of a quadratic equation:
π(3) = 20 * 3 - 3*(3)² = 33
π(4) = 20 * 4 - 3*(4)² = 32
The answer is 3.
