Answer:The graph of a proportional relationship is a straight line that passes through the origin. Proportional quantities can be described by the equation y = kx, where k is a constant ratio. You can tell that the relationship is directly proportional by looking at the graph.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The answer is 26
Answer:
-4 + 2 = -2
Step-by-step explanation:
-4 -(-2) uses the process of cancellation. -(-2) is equal to positive 2, since the negatives cancel out. -4 + 2 is left, which equals -2.
Subtracting a negative from a negative is like subtracting a positive from a positive. It is even like 1-1. Once you subtract one from another, nothing is left.
Step-by-step explanation:
We will prove by contradiction. Assume that
is an odd prime but n is not a power of 2. Then, there exists an odd prime number p such that
. Then, for some integer
,

Therefore

Here we will use the formula for the sum of odd powers, which states that, for
and an odd positive number
,

Applying this formula in 1) we obtain that
.
Then, as
we have that
is not a prime number, which is a contradiction.
In conclusion, if
is an odd prime, then n must be a power of 2.
5/2 - 1/3 = 1/3y
I would convert the denominators to 6 to make this easier like this
15/6 - 2/6 = 2/6y
Now you can subtract easily like so
13/6 = 2/6y
Now divide
y = 13/6 divided by 2/6
To divide fractions do keep (numbers) change (sign) and flip (numbers)
y = 13/6 x 6/2
Now multiply:
78/12 = 6 1/2 = 6.5
y = 6.5 is your final answer!