First Method (Distributive Property)
(2m - 5m) (-5)
Rearrange the equation to make it easier.
(-5) (2m - 5m)
In distributive property, it's all about multiplying. The -5 goes to the 2m and the 5m. Like this: (-5 • 2m) - (-5 • 5m).
-10m + 25m
15m
Second Method
(2m - 5m) (-5)
Since 2m and 5m have the same variable, we can subtract them.
(-3m) (-5)
Multiply.
15m
15m is your answer. I hope this helps!
A factor of 30 is chosen at random. What is the probability, as a decimal, that it is a 2-digit number?
The positive whole-number factors of 30 are:
1, 2, 3, 5, 6, 10, 15 and 30.
So, there are 8 of them. Of these, 3 have two digits. Writing each factor on a slip of paper, then putting the slips into a hat, and finally choosing one without looking, get that
P(factor of 30 chosen is a 2-digit number) = number of two-digit factors ÷ number of factors
=38=3×.125=.375
In order to solve this we need to get x by itself on one side.
We need o start by adding across the 4 so that we get:
x/3 = -7 + 4 = -3
We then need to multiply both sides by 3 to get a singular x:
x = -3 * 3 = -9
a. Recall that

For
, we have

By integrating both sides, we get

If
, then

so that

We can shift the index to simplify the sum slightly.

b. The power series for
can be obtained simply by multiplying both sides of the series above by
.

c. We have


Answer: Think it is -3/5
Step-by-step explanation:
6-5(x)=9
6-5(-3/5)=9
6+3=9
9=9