Answer:
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The base of an exponential function cannot be a negative number true or false
2 answers:
Answer:
True
Step-by-step explanation:
Given statement : The base of an exponential function cannot be a negative number.
We need to check whether the given statement is true or not.
The general form of an exponential function is
where, a is the initial value and b is the base of exponential function.
The value of base b is always greater than 0 because
1. The terms like is an imaginary number and it make no sense. So, the base of an exponential function cannot be a negative number.
2. It b=0, then , which is a constant function. So, the base of an exponential function cannot be 0.
It means b>0.
Therefore, the given the given statement is true.
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Answer:
30units,2900
Step-by-step explanation:
Given that Country Motorbikes Incorporated finds that it costs $400 to produce each motorbike, and that fixed costs are $1600 per day.
The price function is p(x) = 700 − 5x, where p is the price (in dollars) at which exactly x motorbikes will be sold.
If x units are produced and sold we have
Costs for x units = variable costs *x +Fixed costs
Sales revenue = no of units sold * price =
Profit funciton = P(x) = Sales revenue - Total cost
=
To get maximum profit we use derivative test I derivative =0 and II derivative =negative
Producing 30 units will maximize the profit.
Max profit
=P(30) = 2900