First of all we know the
Absolute Value Function that is:
This is called the
Parent Function <em>of the Absolute Value Function.</em>
From the equation:
The term:
means that the the Parent Function is <em>shifted</em>
two units <em>to the left</em>.
On the other hand, the term:
means that the function
is <em>shifted</em>
three units <em>downward. </em>So the result is the graph shown below
4v
You would subtract 10-6
Then you would add the v
Your drawing was much more helpful and informative than your statements in words and symbols.
I see that you want to evaluate (3/2)^2 times (8/15)^2.
You could combine these two expressions into one, as follows:
3*8
( ----------- )^2
2*15
This, in turn, can be simplified by reduction:
( 4/5 )^2. Expanded, this result gives us 16/25.
Next problem
----------------------------
( 9/4 )^4 * ( 4/3 )^3
9^4 4^3
First, focus on ( ------- ) * ( ----------- )
4^4 3^3
Now reduce 4^3 / 4^4: The end result is 1/4.
Reduce 9^4 / 3^3. To do this, rewrite that 9 as (3^2), resulting in:
3^8 / 3^3. The end result is 3^5.
Putting this expression back together, we get 3^5 / 4 (answer)
Step-by-step explanation:
x² - 2x - 48
= (x - 8)(x + 6)
Coefficient of x² is positive, => Happy shape curved upwards
Hence x < -6 or x > 8.
Find P (A B) using the additive rule, hope this helps