Answer:
-1.39
Step-by-step explanation:
Revenue and cost as a function of units sold are  and
and respectively.
  respectively.
we are have to know for which value or input units are these functions at maximum which translates to for how many units is the revenue maximum and for how many same units is our cost minimum.
 
        
             
        
        
        
Answer:
x = 7
Step-by-step explanation:
There is a total of 180 degrees in a triangle. To solve you add the other angles and set = to 180 then solve for x
180 = 33 + 90 + 7x +8
172 = 33 + 90 + 7x
139 = 90 +7x 
49 = 7x
7 = x
 
        
             
        
        
        
T≤3
remember that this symbol means less than or equal to
 
        
        
        
Answer:
we conclude that when we put the ordered pair (0, a), both sides of the function equation becomes the same.
Therefore, the point (0, a) is on the graph of the function f(x) = abˣ
Hence, option (D) is correct.
Step-by-step explanation:
Given the function
f(x) = abˣ
Let us substitute all the points one by one
FOR (b, 0)
y = abˣ
putting x = b, y = 0
0 = abᵇ
FOR (a, b)
y = abˣ
putting x = a, y = b
b = abᵃ
FOR (0, 0)
y = abˣ
putting x = 0, y = 0
0 = ab⁰
0 = a         ∵b⁰ = 1
FOR (0, a)
y = abˣ
putting x = 0, y = a
a = ab⁰
a = a         ∵b⁰ = 1
TRUE
Thus, we conclude that when we put the ordered pair (0, a), both sides of the function equation becomes the same.
Therefore, the point (0, a) is on the graph of the function f(x) = abˣ
Hence, option (D) is correct.
 
        
             
        
        
        
#831 is one out of the 535 left
1/535 
= 0.002 
= 0.2% 
The probability is 0.2%, which is very low. It's even less than 1%. This means it's still very unlikely to get #831 and more like to get one of the other 534 numbers. 
0.2% compared to 99.8%
If you look at these 2 numbers on a number line, you can see 99.8% (the other numbers) is more closer to 100%. This proves Augustin is more likely to chose one of the other numbers and doesn't have to be nervous.