First of all, you can simplify the 4 at the numerator and the 14 at the denominator (they're both multiple of 2):

Now, rationalize a denominator means that you have to get rid of the square root, in order to have an integer denominator.
To do so, remember that you can always multiply any number by 1 without changing its value, and you can always think of 1 as a fraction where numerator and denominator are equal:

Steps to solve:
-1/2 + (3/4 * 4/9)
~Simplify
-1/2 + 14/36
~Simplify
-1/2 + 7/18
~Find common denominators
-9/18 + 7/18
~Add
-2/18 or -1/9
Best of Luck!
I believe it is the last answer choice
Answer:
<em>A=3 and B=6</em>
Step-by-step explanation:
<u>Increasing and Decreasing Intervals of Functions</u>
Given f(x) as a real function and f'(x) its first derivative.
If f'(a)>0 the function is increasing in x=a
If f'(a)<0 the function is decreasing in x=a
If f'(a)=0 the function has a critical point in x=a
As we can see, the critical points may define open intervals where the function has different behaviors.
We have

Computing the first derivative:

We find the critical points equating f'(x) to zero

Simplifying by -6

We get the critical points

They define the following intervals

Thus A=3 and B=6
Answer:
The actual wide of the lawn is 24 meters
Step-by-step explanation:
we know that
The scale drawing is

using proportion
Find out how wide is the actual lawn if the lawn is 48 millimeters in the drawing
Let
x -----> the actual wide of the lawn

therefore
The actual wide of the lawn is 24 meters