<h3>2
Answers: Choice B and Choice D</h3>
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Explanation:
Standard form will always have the largest exponents listed first on the left side. Then as you move to the right, the exponents will decrease. Choice B shows this with the exponents counting down (3,2). Choice D is a similar story with the exponents counting down (9,2,1,0). Think of -6x as -6x^1, and also think of the 10 as 10x^0.
Something like choice A is a non-answer because the term with the largest exponent 3 is buried in the middle, and not at the left side. The exponents are not in decreasing order. Choice C can be ruled out for similar reasons.
Side note: the largest exponent is the degree of the polynomial. This only applies to single variable polynomials.
All functions have an inverse expression.
- The cost function is: .
- The inverse function is:
From the question, we have the following observations:
- Base fare = 50000 pesos for first 100
- Additional guest = 100 pesos
So, the cost function would be:
Where: x represents the number of guests, and C(x) represents the cost function
Expand
Evaluate like terms
To calculate the inverse function, we have:
Replace C(x) with y
Swap x and y
Subtract 40000 from both sides
Divide both sides by 100
Rewrite as:
Split
Hence, the inverse function is:
Read more about functions and inverse at:
brainly.com/question/10300045
The steps to use to construct a frequency distribution table using sturge’s approximation is as below.
<h3>How to construct a frequency distribution table?</h3>
The steps to construct a frequency distribution table using Sturge's approximation are as follows;
Step 1: Find the range of the data: This is simply finding the difference between the largest and the smallest values.
Step 2; Take a decision on the approximate number of classes in which the given data are to be grouped. The formula for this is;
K = 1 + 3.322logN
where;
K= Number of classes
logN = Logarithm of the total number of observations.
Step 3; Determine the approximate class interval size: This is obtained by dividing the range of data by the number of classes and is denoted by h class interval size
Step 4; Locate the starting point: The lower class limit should take care of the smallest value in the raw data.
Step 5; Identify the remaining class boundaries: When you have gotten the lowest class boundary, then you can add the class interval size to the lower class boundary to get the upper class boundary.
Step 6; Distribute the data into respective classes:
Read more about frequency distribution table at; brainly.com/question/27820465
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Answer:
10.5 miles
Step-by-step explanation:
Ethan's favorite kind of exercise is running. He runs on a path that is 1.75 miles long. Last week, Ethan ran on the path 6 times.
The number of miles that Ethan ran on the path last week is calculated as:
Number of miles × Number of times he ran
= 1.75 miles × 6 times
= 10.5 miles
Therefore, the number of miles that Ethan ran on the path last week is 10.5 miles