Answer:
The equation in slope intercept form for the total number of webpages for any number of weeks since the beginning of June 1997 is p=12w+200.
Step-by-step explanation:
Let p be the total number of webpages, w weeks since the beginning of June 1997.
It is given that at the beginning of June 1997 there were 200 webpages on the World Wide Web. The line passes through the point (0,200).
Fifty weeks later there were 260 webpages on the World Wide Web. It means the line passes through the point (5,260).
If a line passes through two points
and
, then the equation of line is

The line passes through the points (0,200) and (5,260). So the equation of line


Add 200 on both sides.

Substitute y=p and x=w in the above equation.

Therefore the equation in slope intercept form for the total number of webpages for any number of weeks since the beginning of June 1997 is p=12w+200.
Answer:
The correct statement is:
- The slope of f(x) is same as the slope of g(x)
Step-by-step explanation:
- We see that the graph of the function f(x) is a line that passes through (0,2) and (1,-1)
Hence, the equation of the function f(x) is calculated by a two-point formula as:

( On comparing the equation of f(x) with slope intercept form.
i.e. y=mx+c
where m is the slope and c is the y-intercept)
We get slope of f(x)= -3
and y-intercept= 2
- The function g(x) is given by:

Hence, slope of g(x) = -3
and y-intercept= -6
Hence, we get that the slope of f(x) and g(x) is same.
( i.e. -3)
Answer:
Im guessing this means 20% of 0.5, in that case it is 0.1
Step-by-step explanation:
you can use a calculator and put 0.2*0.5
But also in your head you can do whats 20% of 5, so what times 5 equals 5? 1
so 1/10 is 0.1 giving you your answer
Answer:
The x-intercept is : (22, 0)
Step-by-step explanation:
From the table values, we determine that it is a straight line as there is a constant change in x and y values.
i.e.
Any previous value of y can be obtained by subtracting 15 from the successor y value.
i.e.
60 - 15 = 45
45 - 15 = 30
so if continue, we can also determine some of the other values of y such as
30 - 15 = 15
15 - 15 = 0
Also, there is a constant change in x values. so, any previous value of x is obtained by subtracting 13 from the successor x value.
i.e.
74-13 = 61
61-13 = 48
48-13=35
35-13=22
So, from the above analysis, we determine that when the value of y = 0, the value of x = 22.
We also know that the x-intercept is the point where the line crosses the x-axis. At this point y = 0.
so, at y = 0, the value of x = 22.
Therefore, the x-intercept is : (22, 0)