Which of the following rational functions is graphed below?

Mathematics

1 answer:

Varvara68 [4.7K]3 years ago

8 0

Your function is not defined at x=0 and x=4 (you have vertical asymptotes there). So, the denominator must be zero at x=0 and x=4. This is the case for

$x(x-4)$

So, the function with that denominator is graphed.

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A palindromic number is a number that reads the same forwards as it does backwards (example: 282 or 51715). How many 5-digit pal

Anuta_ua [19.1K]

Palindromes are numbers whose reverse is the same as the original number

There are twenty-five 5-digit palindromic numbers, that have digits that add up to 14

<h3>How to determine the count of 4-digit palindromes</h3>

The digit of the palindromic number is 5.

This means that:

The first digit of the palindrome can be any of 1 to 7 (because 7 is half of 14)
The second digit can be any of 0 - 6 (i.e. 7 digits)
The third digit can be any of 9 digits
The fourth digit must be the second digit (i.e. 1 digit)
The last digit must be the first digit (i.e. 1 digit)

So, the total number of digits is:

$Total = 7 + 7 + 9 + 1 +1$