Each graph has been matched with the logarithmic function it represents as follows:
- f(x) = 3 - 4In (x-2) = graph 3.
- f(x) = 3 - Inx = graph 1.
- f(x) = In(x + 1) = graph 4.
- f(x) = 2In(x + 3) = graph 2.
<h3>What is a function?</h3>
A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables.
<h3>The types of function.</h3>
In Mathematics, there are different types of functions and these include the following;
- Piece-wise defined function.
<h3>What is a logarithm function?</h3>
A logarithm function can be defined as a type of function that represents the inverse of an exponential function. Mathematically, a logarithm function is written as follows:
y = logₐₓ
In this exercise, you're required to match each graph with the logarithmic function it represents as shown in the image attached below:
- f(x) = 3 - 4In (x-2) = graph 3.
- f(x) = 3 - Inx = graph 1.
- f(x) = In(x + 1) = graph 4.
- f(x) = 2In(x + 3) = graph 2.
Read more on logarithm function here: brainly.com/question/13473114
#SPJ1
Answer:
0.4p or p-0.6p
Step-by-step explanation:
We use percents in decimal form to multiply it with the price. We convert percents into decimals by dividing the percent number by 100. For example, 78% divided by 100 becomes 0.78.
There are two ways to look at it:
- For finding the price we pay during a sale, we focus on the percent we pay. If 60% off is the sale, then we spend 40% or 100-60=40. 40% is 0.40. Multiply that by p an unknown price and we have 0.4p.
- We can find the percent off by multiplying the price by the percent conversion. So 60% is 0.60. Then subtract it from the original price to find the leftover that we pay. This is p-0.6p.
The solution for the expression (v²)(m⁴)/(v²)(m³) will be m. The correct option is C.
<h3>What is an expression?</h3>
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given expression will be solved as below:-
E = (v²)(m⁴)/(v²)(m³)
Divide v² by the same term v².
E = (m⁴)/(m³)
E = m
Therefore, the solution for the expression (v²)(m⁴)/(v²)(m³) will be m. The correct option is C.
To know more about expression follow
brainly.com/question/723406
#SPJ1
Answer:
12 feet.
Step-by-step explanation:
h= -(2)^2+8(2)
h= -4+16
h= 12
