Nevaeh has 12 gallons of gas in her car at the beginning of a trip. Every hour Nevaeh
1 answer:
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Answer:
Hence, the model that best represents the data is:
Step-by-step explanation:
We are given a table that shows the estimated number of lines of code written by computer programmers per hour when x people are working.
We are asked to find which model best represents the data?
So for finding this we will put the value of x in each of the functions and check which hold true that which gives the value of y i.e. f(x) as is given in the table:
We are given 4 functions as:
A)
B)
C)
D)
We make the table of these values at different values of x.
x A B C D
2 66.66 49.3 52.5 50
4 94.57 71.44 106.3 104
6 134.14 103.57 160.1 158
8 190.27 150.14 213.9 212
10 269.91 217.64 267.7 266
12 382.85 315.5 321.5 320.
Hence, the function that best represents the data is:
Option C.
y=26.9x-1.3
Let's call the lengths of our two types of sides <em />
and 
.
The two sides will that our 1.3 inches bigger than the third side will be have length x, and the length of the other side will be known as y. Thus,
.
Considering this, we can add our sides together and set this value equal to 8, given the information in the problem:
Now, let's solve for y.
Now, we are not done yet. We must determine the true lengths of all of our sides. Using the equation we found earlier, the length of the two bigger sides is
inches and the length of our smaller side is simply 
inches.
To verify, we can add these sides together and check that they equal 8:
3.1 + 3.1 + 1.8 = 8 ✔
The two sides will that our 1.3 inches bigger than the third side will be have length x, and the length of the other side will be known as y. Thus,
Considering this, we can add our sides together and set this value equal to 8, given the information in the problem:
Now, let's solve for y.
Now, we are not done yet. We must determine the true lengths of all of our sides. Using the equation we found earlier, the length of the two bigger sides is
To verify, we can add these sides together and check that they equal 8:
3.1 + 3.1 + 1.8 = 8 ✔
If the point (4,-1) is a point on the graph of y = f(x). The corresponding point on the graph of y = g(x) is: (4,-1/2), (2,-1), (-1,-1), (1,4), (4,-4), (-12,1)
=> (4,-1/2)
=> (2,-1)
=> (-1,-1)
=> (1,4)
=> (4,-4)
=> (-12,1)
- Dividing the function by 2 divides all the y-values by 2 as well. So to get the new point, we will take the y-value (-1) and divide it by 2 to get 2. Therefore, the new point is (4,-1/2)
- Subtracting 2 from the input of the function makes all of the x-values increase by 2 (in order to compensate for the subtraction). We will need to add 2 to the x-value (4) to get 2. Therefore, the new point is (2,-1)
- Making the input of the function negative will multiply every x-value by 1. To get the new point, we will take the x-value (4) and multiply it by -1 to get. Therefore, the new point is (-1,-1)
- Multiplying the input of the function by 4 makes all of the x-values be divided by 4 (in order to compensate for the multiplication). We will need to divide the x-value (4) by 4 to get 1. Therefore, the new point is (1,4)
- Multiplying the whole function by 4 increases all y-values by a factor of 4 , so the new y-value will be 4 times the original value (4) or -4. Therefore, the new point is (4,-4)
- Multiplying the whole function by -1 also multiplies every y-value by -1, so the new y-value will be -1 times the original value (-1). or 1. Therefore, the new point is (-12,1)
- Learn more about corresponding point brainly.com/question/10218370
- Learn more about point on the graph brainly.com/question/11297347
- Learn more about the graph brainly.com/question/11534295
<h3>Answer details</h3>
Grade: 9
Subject: mathematics
Chapter: corresponding point
Keywords: corresponding point, the graph, point on the graph