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:
256
Step-by-step explanation:
two choices for each question so
2^8=256
In mathematics, every integer is a rational number, hence a whole number 8 can be written as 8/1. 1/3 x 8 = 8/3 in fraction form. 1/3 x 8 = 2.6667 in decimal form.
Answer:
x > -7
Step-by-step explanation:
Step 1: Translate
Twice a number = 2x
Six more = + 6
At least = >
-8 = -8
Step 2: Write out inequality
2x + 6 > -8
Step 3: Solve
2x > - 14
x > -7
Step-by-step explanation:
By Remainder Theorem, f(5) = 91.
=> (5)³ - 4(5) + k = 91
=> 125 - 20 + k = 91
=> 105 + k = 91
=> k = -14.
