Answer:
- Discontinuity at (-1,6)
- The zero is at (-7,0)
Step-by-step explanation:
Given the function , you need to factor the numerator. Find two number whose sum be 8 and whose product be 7. These are 1 and 7, then:
Then, the denominator is zero when
Therefore, does not belong to the Domain of the function. Then, (-1,6) is a discontinuity point.
Simplifying, you get:
You can observe that a linear function is obtained.
This function is equal to zero when , therefore the zero of the function is at (-7,0).
300 miles.
1 inch is 200 miles
half an inch is 100 miles
200 plus 100 equals 300 miles
In order to have a linear equation, you have to write an equation like
The sequence has to start with 3, so we must choose , because this guarantees that when we have
Now, must be even. In fact, if is even, will always be even for every possible , and will be odd.
So, for example, you might choose
Which will produce the following sequence:
and so on
Hey there!
It looks like we're factoring.
I always like to think of factoring as the opposite of the distributive property, and you'll see why.
First, we have to <em>factor</em> out a common <em>factor</em> from 21p and 35q, which we'll use as 7.
7 times 3p = 21p and 7 times 5q = 35q
Using our distributive property which is defined as:
a(b+c) = ab+ac we have:
7(3p + 5q)
Multiply it out and you'll get 21p and 35q.
Hope this helps!