The difference quotient and simplification will be = [4 -h-2x]
The given equation is as follows: f(x)= 4x - x²
For finding the quotient and further simplification we must follow the following steps:
[f(x + h) - f(x)] / h = [4(x + h) - (x + h)² - 4x + x²]/ h
<h3>What is simplification of algebraic operations?</h3>
Getting the functions in their lowest terms is known as simplification.
Brackets will get open and solved further;
[f(x + h) - f(x)] / h = [4(x + h) - (x + h)² - 4x + x²]/ h
[f(x + h) - f(x)] / h = [4h - h² - 2x]/ h
Finally dividing the whole equation with h;
= [4 - h - 2x]
Learn more about algebraic operations,
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# SPJ1
Answer:
11.25
Step-by-step explanation:
7500 times 0.03 times 5 = 1125
1125 divided 100 = 11.25
simple interest formula = Amount times Rate times Time
Divide 100
Answer: The car travels 97.5 miles in 1.5 hour.
Step-by-step explanation:
Given: A car is traveling down a highway at a constant speed, described by the equation , described by the equation 
, where represents the distance, in miles, that the car travels at this speed in<em> t</em> hours.
To find : Number of miles car travel in 1.5 hour.
Simply put t= 1.5 in the given expression , we get
65(1.5)= 97.5
That means , the car travels 97.5 miles in 1.5 hour.
If we are looking to simplify two trinomials, it is easiest to put them on top of each other and subtract.
7x² - 2x + 5 7x² - 2x + 5
- (3x² + 4x + 10) -3x² - 4x - 10
4x² - 6x - 5
Answer:C. competitive firms' profits are zero.
Step-by-step explanation: Perfect competition is the highest level of competition where the number of buyers and sellers are large,all firms are price takers,no government intervention,the products are homogeneous,no firm makes extraordinary profits, there is free entry and exit for buyers and sellers etc.
IN THE LONG RUN A PERFECTLY COMPETITIVE FIRM MAKES ZERO PROFITS.
