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:
Once
Step-by-step explanation:
8 can only go into 9 once, if you were to do it a second time, there would be a remainder of 7.
Answer:
see below
Step-by-step explanation:
Add 4 to find the solution:
z ≤ 7
The value 7 is included in the solution set, so there will be a solid dot at that point. Numbers less than 7 are also included in the solution set, so the number line will be shaded to the left of that solid dot.
Yes, It is reasonable. I think this because you are dealing with 60 blocks, and out of every 5 blocks there are 3 red. 5 goes into 60 12 times. 3 multiplied by 12 is 36. 36 is more than 32. So, I think that it is reasonable. If this explanation didn't make sense, then feel free to ask for more. I hope this helped!
Answer:
70 and 71
Step-by-step explanation:
Consecutive means in a row
x is the first number
x+1 is the next number
x+ x+1 = 141
Combine like terms
2x+1 =141
Subtract 1 from each side
2x+1-1=141-1
2x= 140
Divide each side by 2
2x/2 =140/2
x = 70
The two lockers are 70,71
