Answer:
80 & 105
Step-by-step explanation:
Remember that the sum of tow cubes identity is:
So, to create our expression<span>, containing at least two variables, that can be factored using the sum of two cubes, we just need to replace </span>
and
with tow monomials with a different variable:
and
Lets replace those values in our identity:
Now that we have our expression, lets factor it using the sum of two cubes identity:
To verify if the factored form of our expression (right hand side) is equivalent to the original form (left hand side), we are going to expand the right hand side:
Since both sides of the equation are equal, we can conduce that the factored form of our expression is equivalent to the original expression.
First you want to put them in order from least to greatest.
65, 72, 74, 75, 86, 89, 93, 95, 96, 97, 100.
Now you count the numbers on the left and right until you get to the middle, there is an uneven number so therefor you wont have to do any extra math.
65, 72, 74, 75, 86, 89, 93, 95, 96, 97, 100. there is 5 on each side 89 being the median.
Now moving onto the mode. You will need all of them for this not taking out the ones of there being multiple.
95, 95, <span>96, 100, </span>86, 75, 75, 75, 74, 72, 89, 97, 93, 65
You need to find the number that there is the most of to find the mode. to do this keep score of how many of each of the numbers there is
95, 95, 96, 100, 86, 75, 75, 75, 74, 72, 89, 97, 93, 65 The most commonly occuring number is 75 in this dataset.
Reviewing our answers.
In the end the median is 89 and the mode is 75
Answer:
A. None correct
Explanation:
We can use the <em>power rule</em> for logarithms
:
The logarithm of the nth power of a quantity is n times the logarithm of the quantity.
In symbols, ln(xⁿ) = nlnx.
Apply the power formula.
This answer is not in your list.
The correct answer is A. None correct.