Answer:
-1
Step-by-step explanation:
We need to simplify the given expression . The given expression is ,
Here we can see that the power of the both exponent is same that is (2n+1) . Recall the property of exponents ,
Using this property , we have ,
This can be written as ,
Simplifying using ( a+b)(a-b) = a² - b² ,
Subtracting the numbers inside the brackets ,
Now we know that every odd number is in the form of 2n -1 , where n is any integer. Therefore , the <u>power is odd</u> .
Since the base is (-1) , for even power it is 1 and for odd power it is -1 . Therefore the final answer is ,
<u>Hence </u><u>the</u><u> </u><u>required</u><u> answer</u><u> is</u><u> </u><u>(</u><u>-</u><u>1</u><u>)</u><u> </u><u>.</u>
$1.10 per pound for the 1-pound bag.
$0.96 per pound for the 2-pound bag.
$0.92 per pound for the 3-pound bag.
As the quantity of sugar increases, the unit cost decreases.
Answer:
40
Step-by-step explanation:
The formula for the perimeter of a rectangle is P = 2l + 2w. Since the length is 8 times the width, l = 8w. You can plug this into the equation.
<em>P = 2(8w) + 2w</em>
<em>P = 16w + 2w</em>
P = 18w
Now, plug in the given value for perimeter, and solve for w.
<em>90 = 18w</em>
<em>(90)/18 = (18w)/18</em>
5 = w
Since the width is equal to 5, you can now solve for l.
<em>l = 8w</em>
<em>l = 8(5)</em>
l = 40
The length of the diagonal is equal to 40.
Answer:
(x-9)(x-8)
Step-by-step explanation: