-
=
Since the two fractions have a common denominator already, we can just subtract the numerators.
b-3b=-2b or -3b+b=-2b
Either way you get the same answer :)
Our new fraction is
Now we know that this must be equal to
Again, since the denominators are already the same of course they are equal. 13=13
Now we have to set the numerators equal
-2b=8
Use inverse operations to get b alone
-2b=8
÷-2 ÷-2
b=-4
If you have any questions, feel free to ask. Hope this helped! :)
Answer:
Step-by-step explanation:
<u>Trigonometric Identities</u>
<u>Trigonometric ratios</u>
where:
is the angle- O is the side opposite the angle
- A is the side adjacent the angle
- H is the hypotenuse (the side opposite the right angle)
Using the trig ratio formulas for cosine and sine:
<u>Angles</u>
Therefore, using the trig identities and ratios:
Answer:
(-2, ∞)
Step-by-step explanation:
A function is "increasing" when its graph goes up to the right, the slope is positive. At a turning point (maximum or minimum), the function is neither increasing nor decreasing.
<h3>Increasing interval</h3>
The graph has a minimum at x = -2. To the left of that point, the graph goes up to the left, which is the same as down to the right (decreasing).
To the right of x = -2, the graph goes up to the right (increasing). It continues to increase for all values of x > 2. The interval where the function is increasing is said to be ...
-2 < x < ∞
The lack of "or equal to" tells you the interval is "open" and is delimited by parentheses in interval notation:
increasing; (-2, ∞)
Answer:
Step-by-step explanation:
We are given the following information in the question:
"Citizens less than 18 years old are not allowed to vote"
We define a variable x such that x represents the age of citizens.
We have to write a relationship with the help of an inequality for the ages of citizens who are not allowed to vote.
Citizens less than 18 are not allowed to vote.
So x should be less than 18.
This can be written as:
is the required inequality for the ages of citizens who are not allowed to vote.
Answer:
30%
Step-by-step explanation:
60/200 = 3/10 = 30%
