Answer:
Function: 
Not Function: 
and 
Step-by-step explanation:
Given
Required
Determine if 
is a function of 
Solving x+y=9
Make y the subject of formula
<em>Hence; y is a function of x</em>
Solving
Subtract x² from both sides
Square root of both sides
This implies that
or 
<em>Because </em><em> can be any of those two expressions, it is not a function.</em>
Solving
Reorder
Take square roots
This implies that
or 
<em>Because </em><em> can be any of those two expressions, it is not a function.</em>
I would say P = w + 2, because their ages change over time but the difference between the ages will always be the same.
Answer:
Step-by-step explanation:
Let
x ---> the number
we know that
The algebraic expression is equal to multiply the number by 4, add 5 and equal 8
so
Solve for x
subtract 5 both sides
Divide by 4 both sides
If the given number is in base 2, that means
11100111₂ = 2⁷ + 2⁶ + 2⁵ + 2² + 2 + 1
8 = 2³, and so we have
11100111₂ = 2 • (2³)² + (2³)² + 2² • 2³ + 2² + 2 + 1
11100111₂ = 3 • 8² + 4 • 8 + 7
11100111₂ = 347₈
Because 8 is the 3rd power of 2, we can also split up the given number into block of length up-to 3, then convert each block directly into base 8:
11 100 111
11₂ = 2 + 1 = 3
100₂ = 2² = 4
111₂ = 2² + 2 + 1 = 7
so again we get 347₈.
