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
<u><em>Answer:</em></u>
<u>The simplest form would be:</u>
8c² - 1.5d
<u><em>Explanation:</em></u>
To simplify an expression, we need to <u>gather the like terms</u>.
Like terms are the ones having the same variable raised to the same power
<u>In the given expression:</u>
6c² + 2.5d - d + 2c² - 3d
We have terms having c² and terms having d.
<u>Therefore, we would gather them as follows:</u>
6c² + 2.5d - d + 2c² - 3d
(6+2)c² + (2.5-1-3)d
8c² - 1.5d ......................> This is the simplest form
Hope this helps :)
Using the Pythagorean Theorem, you should get 45 [9 + 36]. Then, take the square root of 45 and simplify it to 3√5.
From the information above he makes 15 cups in 5 days .
b.
Bedroom area
Lenght = 5 squares
= 5 × 1/4 inchi
= 5/4 inchi
Width = 4 squares
= 4 × 1/4 inchi
= 1 inchi
Large area = 5/4 × 1 inchi
= 5/4 inchi
Living room
Lenght = 7 squares
= 7 × 1/4 inchi
= 7/4 inchi
Width = 4 squares
= 4 × 1/4 inchi
= 1 inchi
Large area = 7/4 × 1 inchi
= 7/4 inchi
Total Area
Bedroom area + Living room area
= 5/4 + 7/4
= (5+7)/4 inchi
= 12/4 inchi
= 3 inchi
1 square yard = 1296 square inches
so 1 square inches = 1/1296 square yard
3 inchi = 3×1/1296
= 3/1296
= 1/432
Cost = 1/432 × $18
= $1/24
It would cost $1/24 to carpet the bedroom and living room.
