If f(x) = -7x + 1 and g(x) = Square root of x-5, what is (fºg)(41)?
1 answer:
You might be interested in
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
1)
where m is the slope
We know the slope is 5 and the line passes through the point (4,3).
The equation of the line is:
Now the second point:
The answer:
The value of y is -7.
2)
The line passes through the origin, or the point (0,0), and has a slope of -32.
The slope is negative so the line goes down from left to right.
It crosses both x and y axes in the point (0,0).
Therefore, it only passes through II and IV quadrant.
You can also find the equation of the line, find one more point and draw it.
Find the y-coordinate of the point for example (1,y).
The line passes through the points (0,0) and (1,-32). Now you can draw it (see the attachment).
The answer:
The line passes through quadrants II and IV.
where m is the slope
We know the slope is 5 and the line passes through the point (4,3).
The equation of the line is:
Now the second point:
The answer:
The value of y is -7.
2)
The line passes through the origin, or the point (0,0), and has a slope of -32.
The slope is negative so the line goes down from left to right.
It crosses both x and y axes in the point (0,0).
Therefore, it only passes through II and IV quadrant.
You can also find the equation of the line, find one more point and draw it.
Find the y-coordinate of the point for example (1,y).
The line passes through the points (0,0) and (1,-32). Now you can draw it (see the attachment).
The answer:
The line passes through quadrants II and IV.