Answer:
Number of dogs = 6
Number of burgers = 11
Step-by-step explanation:
Number of dogs = x
Number of burgers = 2x - 1
Cost of a dog = $ 1.50
Cost of 'x' dogs = 1.5x
Cost of a burger = $ 2
Cost of (2x - 1) burger = (2x -1) * 2 = 2x *2 - 1*2
= 4x - 2
Total amount collected = $ 31
1.5x + 4x - 2 = 31 {add 2 to both sides}
1.5x + 4x = 31 + 2
1.5x+ 4x = 33
5.5x = 33
x = 33/5.5
x = 6
Number of dogs = 6
Number of burgers = 2*6 - 1 = 12 - 1 = 11
Answer:

Step-by-step explanation:
The point-slope form of a line is given as:

Where
m is the slope
is the x-coordinate of the point given (passing through the line)
is the y-coordinate of the point given (passing through the line)
Now,
Given,
Slope = m = 3
= 1
= 2
Now, we simply plug these into the formula for point-slope form of a line:

This is the point-slope form.
Answer:
Step-by-step explanation:
Each rows contain 12 seats.
No.of seats in 12 rows = 12 *12 = 144 seats
The problem on the left is going to be 1 tens and 8 ones, so 18.
The problem on the right is going to be 2 tens and 9 ones, so 29.
Since g(6)=6, and both functions are continuous, we have:
![\lim_{x \to 6} [3f(x)+f(x)g(x)] = 45\\\\\lim_{x \to 6} [3f(x)+6f(x)] = 45\\\\lim_{x \to 6} [9f(x)] = 45\\\\9\cdot lim_{x \to 6} f(x) = 45\\\\lim_{x \to 6} f(x)=5](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%206%7D%20%5B3f%28x%29%2Bf%28x%29g%28x%29%5D%20%3D%2045%5C%5C%5C%5C%5Clim_%7Bx%20%5Cto%206%7D%20%5B3f%28x%29%2B6f%28x%29%5D%20%3D%2045%5C%5C%5C%5Clim_%7Bx%20%5Cto%206%7D%20%5B9f%28x%29%5D%20%3D%2045%5C%5C%5C%5C9%5Ccdot%20lim_%7Bx%20%5Cto%206%7D%20f%28x%29%20%3D%2045%5C%5C%5C%5Clim_%7Bx%20%5Cto%206%7D%20f%28x%29%3D5)
if a function is continuous at a point c, then

,
that is, in a c ∈ a continuous interval, f(c) and the limit of f as x approaches c are the same.
Thus, since

, f(6) = 5
Answer: 5