Answer:
-16m + 16n + 77
Step-by-step explanation:
2(m - n) - 18(m - n) + 77
We can let x = (m - n) to make our job easier.
2x - 18x + 77
Now, we can conclude that this expression is equal to -16x + 77.
We can substitute x = (m - n) back into the expression:
-16(m - n) + 77
Distribute:
-16m + 16n + 77
And you're done!
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Answer:
origanal
Step-by-step explanation:
origanaol
This is an exponential function since the x is in the exponent's place instead of in the place of a "regular" variable. The first statement is true.
The initial value of this particular function is 3 (the other number is the multiplier), so choice 2 is NOT true.
The function increases by its multiplier, which is 2.5, so statement 3 is true.
The equation allows us to enter any x value we want to determine the y, so the domain is in fact all real numbers. So, this statement is also true.
If you were to graph this on a calculator, you would see that the range, the "allowed" y values for our function, do not touch or ever drop below the x-axis. That means that the range is all numbers greater than 0. So that statement is false. No matter what value we pick for x, we will NEVER get back a negative y value or that y = 0. For example, if x = 0, y = 3; if x = -5, y = .03; if x = -10, y = .0003; if x = 5, y = 292.97; if x = -100,
. Y will never be equal to 0 or less than 0.
Answer: 
Step-by-step explanation:
Given : Let f(n) represent the total annual cost of renting n video games.
A video game club charges a fixed annual membership fee of $20 and $2 per video game rented.
Then the total annual cost is given by :-

If the membership was increased by $15 the next year , then the total cost in next years will be :-

Hence, the function best represents the relationship between f(n) and n if the membership was increased by $15 the next year :
