Answer:
102 hamburgers
Step-by-step explanation:
Hotdogs: 8 272
Hamburgers: 3 HB
8/3=272/HB
3*272=8HB
816=8HB
HB=102
Notice that we can simplify both numerator and denominator of our rational function. In the numerator we have a quadratic expression of the form

. To to simplify it, we are going to find tow numbers that add to 2 and multiply to -8; those numbers are 4 and -2.

In the denominator we have a difference of squares:

Now we can rewrite our function:

From the simplified form of our rational function we can infer that its graph has two vertical asymptotes at

and
We can conclude that the graphic of our rational function is:
Consider the given equation is
and one of the 6 in the options is -6.
Given:
The equation is

To find:
The value of x.
Solution:
We have,

Subtracting 3 from both sides, we get


Divide both sides by -2.


Therefore, the value of x is -6.
Answer:
21. 162 (rounded to nearest thousandth)
Step-by-step explanation:
Area of a sector: (degree/360) (pi*radius^2)
degree given= 97
radius= diameter/2 = 5
(97/360) (pi*5^2)
(97/360) (pi*25) = 21.16211718
Answer:
simplify =36x−24y
factor =12(3x−2y)
Step-by-step explanation:
Let's simplify step-by-step.
4(5x−6y)+16x
Factor 4(5x−6y)+16x
36x−24y