Answer:
all real numbers
Step-by-step explanation:
The domain is the input values
All values for x are valid as inputs to the function
1/4(8m - 4n) + 1/3(6m + 3n)=
Distribute the fractions through the parentheses
2m - n + 2m + n =
Combine like terms
2m + 2m - n + n = 4m
The answer is 4m
Assume the parabola is placed on a graph where the x-axis is the top of the dish.
The vertex is then at (0,-30) The x-intercepts or zeros are at (-30,0) and (30,0)
The equation of such parabola would be:

Plug in vertex to find value of 'a'

Now find the focus given that


Answer: the microphone should be placed 7.5 inches from vertex.
3z + 6
3z and 6 has greatest common factor, that is 3. Divide 3z and 6 by the greatest common factor (3).
3z ÷ 3 = z
6 ÷ 3 = 2
So, we could work on the expression as following.
3z + 6
= 3 × z + 3 × 2
From the expression above, we should separate 3 from z and 2 by a parenthesis to make distributive property.
3 × z + 3 × 2
= 3(z + 2)
SUMMARY
3z + 6
= 3 × z + 3 × 2
= 3(z + 2)
Answer: 4oz
Step-by-step explanation: