First, we can choose the seats for the four mathematicians. Then we seat the physicits, then the engineer. There are 4! ways to seat the mathematicians, then 3! ways to seat the physicists, then 1! ways to seat the engineer. But then we must divide by 8, because we can rotate the table, so there are 8!*4!*3!/8 = 725760 ways to seat everyone.
F(x) = -3x - 2
f(-5) = -3(-5) -2 = 15 - 2 = 13
Answer:
<em>(7, 5.25)</em> lies on the graph.
Step-by-step explanation:
We are given the following values
x = 4, 6, 8, 12 and corresponding y values are:
y = 3, 4.5, 6, 9
Let us consider two points (4, 6) and (6, 4.5) and try to find out the equation of line.
Equation of a line passing through two points
and
is given as:

where m is the slope.
(x,y) are the coordinates from where the line passes.
c is the y intercept.
Here,

Formula for slope is:


Now, the equation of line becomes:

Putting the point (4,3) in the above equation to find <em>c</em>:

So, final equation of given function is:

OR

As per the given options, the point <em>(7, 5.25) </em>satisfies the equation.
So correct answer is
.
Answer:
3800
Step-by-step explanation:
Answer:
Hi there!
The correct answers for the question are:
For 45 mph, the trip time is: 9.78
For 55 mph, the trip time is: 8.36
For 65 mph, the trip time is: 7.38
Step-by-step explanation:
The values given to you represent the variable "S" so therefore you just plug in the values into the equation and you get "t"