The output will be -2.
Output, generally, refers to the 'y' coordinate when the input is 'x'.
Answer:
x=3/4
Step-by-step explanation:
Set up an equation:
1/6+x=1 2/3-x
1/6+x=5/3-x
1/6+x=10/6-x
2x=9/6
2x=3/2
4x=3
x=3/4
Check:
common denominator of 12
2/12+9/12=11/12 AND 20/12-9/12=11/12
<h2>
Answer:</h2>
To solve these, we will divide on both.


<h2>Steps:</h2>
So firstly, this function is asking us to divide f(x) by g(x) so let's set that up as such:

Next, remember that <u>dividing by a number is the same as multiplying by its reciprocal.</u> To find the reciprocal of a number, flip the numerator and denominator around. With this info, flip the second fraction to it's reciprocal and change the sign to multiplication:

Next, we are going to factor x² - x - 6. Firstly, what two terms have a product of -6x² and a sum of -x? That would be -3x and 2x. Replace -x with 2x - 3x:

Next, factor x² + 2x and -3x - 6 separately. Make sure that they have the same quantity on the inside of the parentheses:

Now you can rewrite it as:

Next, multiply:

Next, divide:

And lastly, simplify:
- A good tip:


<h2>Answer:</h2>
<u>The correct option is C. x² + 4x + 4.</u>
The kangaroo's speed in feet per second is 58.67 feet per second
<h3>What was the kangaroo's speed in feet per second?</h3>
The speed is given as:
Speed = 40 mph
Rewrite properly as
Speed = 40 miles per hour
1 mile = 5280 feet
So, we have
Speed = 40 * 5280 feet per hour
Evaluate
Speed = 211200 feet per hour
1 hour = 3600 seconds
So, we have:
Speed = 211200 feet per 3600 seconds
Evaluate the quotient
Speed = 58.67 feet per seconds
Hence, the kangaroo's speed in feet per second is 58.67 feet per seconds
Read more about speed at:
brainly.com/question/4931057
#SPJ1