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3 years ago

Give an example of an even function and explain algebraically why it is even

1 answer:

6 0

Even Function. A function with a graph that is symmetric with respect to the y-axis. A function is even if and only if f(–x) = f(x). See also. Odd function.
They got called "even" functions because the functions x2, x4, x6, x8, etc behave like that, but there are other functions that behave like that too, such as cos(x):

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One number is 6 more than a second number, the sum of the two numbers is 330. what are the numbers?

maksim [4K]

Let's have the first number, the larger number, be x. We'll have the second, smaller number be y.

We know that x = y + 6, since x is 6 greater than y.

We also know that 330 = x + y.

Because x = y + 6, 330 = y + 6 + y, which simplifies to 330 = 2y + 6.

Now all we need to do is simplify the equation. First, we subtract 6 from both sides:

330 - 6 = 324

2y + 6 - 6 = 2y.

So we have 324 = 2y. Then we divide both sides by 2 to get:

162 = y

Plug in y = 162 into the equation x = y + 6 to get:

x = 162 + 6

x = 168

Let's check to make sure our answer is right. 168 is 6 more than 162. 162 + 168 equals 330. So our two numbers are 168 and 162.

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shutvik [7]

Your answer would be 27

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