(3x) + (x+60) = 180
4x + 60 = 180
Subtract 60 from both sides
4x = 120
Divide 4 from both sides
x = 30
Answer: Second option.
Step-by-step explanation:
Given the functions f(x) and g(x):

You need to divide them in order to find
asked in the exercise. Then:

Now, it is important to remember that, by definition, the division by zero is not defined. Therefore, the denominator of the function cannot be zero.
Let's find the value of "x" for which the denominator of the function would be zero:
1. You need to make the denominator equal to zero:

2. Finally, you must solve for "x":

Therefore, as you can see, the answer is:
, 
Answer:
this cant be simplified unless you have an integer in place of "i"
Answer: X > 100
Step-by-step explanation:
X - 19 < 81
Once the less than sign is turned over
X > 81 +19
X > 100
Thus, the value of X must be greater than 100
Answer:
A possible solution is that radius of cone B is 2 units and height is 36 units
Step-by-step explanation:
The volume of a cone is given by

where
r is the radius
h is the height
Here we are told that both cones A and B have the same volume, which is:

And
(2)
We also know that cone A has radius 6 units:

and height 4 units:

For cone B, from eq.(2), we get

One possible solution for this equation is

In fact in this case, we get:

Therefore a possible solution is that radius of cone B is 2 units and height is 36 units, and we know that in this case Cone B has the same volume as cone A because it is told by the problem.