If m varies directly with x, then that means that you have to find the slope. To make it easier, m = y-variable, and x = x-variable.
Because you are trying to find your constant of variation (another word for slope, rate of change, etc.), the change of y over the change of x is your equation. in other words, divide your m variable by x.
When m = 60 and x = 6, you can set it up. 60 / 6 = k; and k = 10 when solved. Since 10 is not one of the answer choices listed in your answer key, I believe that your answer is NONE OF THE ABOVE.
I hoped this helped you.
9514 1404 393
Answer:
any real number
Step-by-step explanation:
The value of 7^0 is 1, so the equation is ...
1^x = 1
This is true for any value of x. Possible values of x are "any real number."
Answer:

Step-by-step explanation:
Given
The attached graph
Required
Equations with higher unit rate
First, calculate the unit rate of the graph

Where:


So:



For the given options.
The unit rate is the coefficient of x
So: 
Going by the above definition of unit rate.




















The unit rates grater than the graph's from small to large are:


Answer:
The domain of function
is set of all real numbers.
Domain: (-∞,∞)
Step-by-step explanation:
Given:


the domain of both the above functions is all real number.
To find domain of :

Substituting functions
and
to find 

The product can be written as difference of squares. ![[a^2-b^2=(a+b)(a-b)]](https://tex.z-dn.net/?f=%5Ba%5E2-b%5E2%3D%28a%2Bb%29%28a-b%29%5D)
∴ 
The degree of the function
is 2 as the exponent of leading term
is 2. Thus its a quadratic equation.
For any quadratic equation the domain is set of all real numbers.
So Domain of
is (-∞,∞)
This is just another way of asking "what is the volume of a sphere of 6cm"
The volume of a sphere is

The R is 3cm in this problem since the diameter is twice the radius. For a 3cm radius sphere this is 113.1cm^3