Answer:
2n-4
Step-by-step explanation:
-n-2+3n-2 (here I distributed the negative to both parts)
2n-4 (gather the like terms)
Answer:
All real number greater than equal to zero.
Step-by-step explanation:
The function is given by

The domain is defined as the input values so that the function is well defined.
here, the values of x should be all real number and zero also.
So, the correct option is (d).
Answer:
Proved (See Explanation)
Step-by-step explanation:
Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.
This is done as follows

From laws of indices;
aᵐ⁺ⁿ = aᵐ * aⁿ.
So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.
becomes

Factorize



3ⁿ * 5
5(3ⁿ)
<em>The expression can not be further simplified.</em>
<em>However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.</em>
Answer:
132.4
Step-by-step explanation:
Answer:
The slope of the line passing through the points (-3, 7) and (2, -6) is -13/5.
Step-by-step explanation:
Use the slope formula to find the slope of the line based on two points.
m = y₂ - y₁/x₂ - x₁
Substitute the values
m = -6 - 7/2 - (-3)
Simplify.
m = -13/5
The slope of this line is -13/5.