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
The answer is D because the shaded area must go to the origin and it must have a non-dashed line because having 5 sundaes and 10 cones is possible.
168cm2
Let r cm be the radius of the balloon, then
<span>2pi(r)=23=>r=23/(2pi) </span>
<span>The surface area= </span>
<span>4pi(r^2)= </span>
<span>4pi[23/2pi)]^2= </span>
<span>(23^2)/pi=168.386 cm^2 </span>
<span>approximately.</span>
Answer: A, B, D
A, B, and D are equations because an equation has an equal sign that connects two expressions together (i.e., equations have equal signs). In this case, only A, B, and D have equal signs.
Answer:
sum of products expression = x₁x₂x₃' + x₁x₂'x₄ + x₁x₂x₄
Step-by-step explanation:
Given function ( f ) = x₁x₂'x₃' + x₁x₂x₄ + x₁x₂'x₃x₄'
using algebraic manipulation
f = x₁ [ x₂'x₃' + x₂x₄ + x₂'x₃x₄' ]
= x₁ [ x₂'( x₃' + x₃x₄') + x₂x₄ ]
next apply Boolean rules
a + bc = ( a + b )(a + c )
a' + a =1
hence
minimum sum-of-products expression = x₁x₂x₃' + x₁x₂'x₄ + x₁x₂x₄
