Let the tens digit be x and units digit be x – 3. The number is 11x – 3. Interchanging digits gives 11x – 30. Adding them, 22x – 33 = 143, solving to x = 8. The numbers are ...
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Using the relation C = aF + b, substitute the given conditions. From the melting point, 0 = 32a + b. From the boiling point, 100 = 212a + b. Solving this gives a = 5/9 and b = -160/9.
The remaining balance after x days is b(x) = 600 minus 15x. The balance becomes zero after 40 days. This represents linear decay because the balance decreases by the same 15 rupees every day.
A polynomial of degree 1 can be 3x plus 2. A polynomial of degree 2 can be x square plus 5x plus 1. A polynomial of degree 3 can be 2x cube minus x plus 4.
The total cost of decorating the garden is found by adding fencing and seed costs. Wire fencing costs 200l rupees, wooden fencing costs 160w rupees and seeds cost 50lw rupees. Therefore, total cost equals 200l + 160w + 50lw.