The digits of a two-digit numbers are interchanged to form a new two-digit numbers. The difference between the original number and the new number is 45. Find the largest two-digit number which satisfies these conditions

Complete the standard form of the equation that represents the quadratic relationship displayed above, where a, b, and c are rational numbers.

Which mathematical statements are true? 1) if 3 is an odd number, then 3 times 3 is an even number. 2) if 6 is less than 7, then 4 is greater than 7. 3) six is divisible by 3, and 10 is a multiple of 2. 4) the average of the data is greater than the largest value in the data, or it’s less than the largest value in the data. 5) the slope of a linear graph is its rate of change, and the graph’s y-intercept is the initial value. 6) if an equilateral triangle has equal angles, then all its angles will measure 45°.

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