The function that describes the graph is an exponential function
<h3>How to determine the function type?</h3>
From the graph, we have the following highlights:
- Initially, when x increases; y seem not to increase
- Then, x and y increase at the same time
- Finally, y increase and x seem not to increase
The above is the description of an exponential function
Hence, the function that describes the graph is an exponential function
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Let the distance of the first part of the race be x, and that of the second part, 15 - x, then
x/8 + (15 - x)/20 = 1.125
5x + 2(15 - x) = 40 x 1.125
5x + 30 - 2x = 45
3x = 45 - 30 = 15
x = 15/3 = 5
Therefore, the distance of the first part of the race is 5 miles and the time is 5/8 = 0.625 hours or 37.5 minutes
The distance of the second part of the race is 15 - 5 = 10 miles and the time is 1.125 - 0.625 = 0.5 hours or 30 minutes.
The functions have complex roots from the image are
Functions (b) and (d). This is further explained below.
<h3>What is Function?</h3>
Generally, Function is simply defined as a connection between two or more variables that may be expressed mathematically.
In conclusion, Functions with graphs that never touch or cross the x-axis are said to have complicated roots, not real ones.
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Okay I don’t think I have to do it anymore I
Answer: 2185
Step-by-step explanation:
Let p be the proportion of visitors are campers.
Given : The Tennessee Tourism Institute (TTI) plans to sample information center visitors entering the state to learn the fraction of visitors who plan to camp in the state.
The prior proportion of visitors are campers : p=0.35
Allowable error : E= 2%= 0.02
We know that the z-value for 95% confidence = 
Then by Central Limit Theorem , the required sample size would be :


Simply , we get
[Rounded to the next whole number.]
Hence, the smallest sample size to estimate the population proportion of campers =2185