In order to determine the vertex of this, you can complete the square. To do that, first set the equation equal to 0, then move the -35 over to the other side by adding. That gives us 
. Now we can complete the square. Do this by taking half of the linear term, squaring it, and adding it in to both sides. Our linear term is 2x. Half of 2 is 1, and 1 squared is 1. So we add 1 to both sides, creating something that looks like this: 
. We will do the math on the right and get 36, and the left will be expressed as the perfect square binomial we created by doing this whole process. 
. Now move the 36 over by subtraction and set it back to equal y and your vertex is apparent. It is (1, -36). You find the x-intercepts when y = 0. That means you need to set your original equation equal to zero and factor it. The easiest, surest way to do this is to use the quadratic formula. Doing that gives us x values of 7 and -5. And you're done!
A palindromic number is a number that reads the same forwards as it does backwards (example: 282 or 51715). How many 5-digit pal
1 answer:
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:
Hence, there are twenty-five 5-digit palindromic numbers, that have digits that add up to 14
Read more about palindromes at:
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