The functions which are even are symmetric to y-axis. By even functions, it means that f(x) = f(x) for all the domain values. Thus even functions for example, x^2, 1+x^2, cosx, x^4 all follow the conditions i.e. f(x) = f(x) and thus they are symmterical to y-axis.
Let's rewrite the binomial as:
Using the binomial expansion, we get:
For the 15th term, we want the term where r is equal to 14, because of the fact that the first term starts when r = 0. Thus, for the 15th term, we need to include the 0th or the first term of the binomial expansion.
Thus, the fifteenth term is:
Answer: -4x - y = -50 (second option)
Step-by-step explanation: The only way lines won't intersect is if they're parallel. Parallel lines have the same slope --> the line must have a slope of -4x.
Option 1:
- y = 4x - 200 (add 4x to both sides)
- <em>Different slope.</em>
Option 2:
- -y = 4x - 50 (add 4x to both sides)
- y = -4x + 50 (divide by -1)
- <em>Same slope.</em>
Option 3:
- -y = -4x - 200 (subtract 4x from both sides)
- y = 4x + 200 (divide by -1)
- <em>Different slope.</em>
Option 4:
- -y = -4x - 50 (subtract 4x from both sides)
- y = 4x + 50 (divide by -1)
- <em>Different slope.</em>
Answer: Median
You can't use the mode in here, since there are no repeated numbers. But You can use mean and median. If you use the mean, you will get 57. If you use the median, you will get 75.5. This means that the median will give you the best grade.
Explanation:
Mode: The most repeated number.
Median: The Middle number of statistics.
Mean: The average of all numbers.
Answer:
Step-by-step explanation:
If AB and DE are equidistant from the center, that means that they are the same length. We set the equations equal to one another and solve for x:
3x - 7 = 5(x - 5) and
3x - 7 = 5x - 25 and
18 = 2x so
x = 9. Now we sub that into the expression for AB (or DE since they're the same length):
3(9) - 7 = 20
Both AB and DE measure 20 units.