Answer:
Step-by-step explanation:
Linear equations will always be in the form , where m is the slope and b is the y-intercept
Since we know nothing about this equation, other than the fact that there are two points in it, we must find the slope and the y-intercept.
Luckily, we have two points to work with. We know that the slope between two points will be the change in y divided by the change in x (), so we can use the two points given to us to find both changes.
The y value goes from 1 to 17, which is a change.
The x value goes from 2 to 6, which is a change.
Now that we know both changes, we can divide the change in y by the change in x.
Now that we know the slope (4), we can plug it into our equation ().
Now all we need to do is find the y-intercept. Since we know the slope and one of the points the line passes through, we can find the y-intercept by substituting in the values of x and y. Let's use the point (2, 1).
Therefore our y-intercept is -7. Now that we know the slope and the y-intercept, we can plug it into our equation.
Hope this helped!
Answer:
<em>Owen's songs were played on 3 movies and on 7 commercials.</em>
Step-by-step explanation:
<u>System of Equations
</u>
Let's call C the number of commercials on which Owen's songs were played and M the number of movies on which Owen's songs were played. We know Owen's songs were played on 4 more commercials than movies, it can be expressed as
Owen will earn $50 every time one of his songs is played in a commercial and he will earn $140 every time one of his songs is played in a movie, so his total earnings are
We have a system of linear equations that can be easily solved by using the formula for C in the above equation
Operating
Reducing
Solving
The number of commercials is
Owen's songs were played on 3 movies and on 7 commercials.
Answer:
46.5 miles per hour
Step-by-step explanation:
Given that :
Speed of A car v in miles per hour based on length L in feets ;
V = √(20L)
Skid mark (L) = 108 feets
V = √(20 * 108)
V = √2160
V = 46.475800 miles per hour
V = 46.5 mph