Fahrenheit to Celsius conversion – MATHEMATICS

by | Sep 12, 2022 | Uncategorized

26. The formula for converting Fahrenheit temperature, F, to Celsius, C, is C = 5(F-32)/9. If Celsius temperature ranges from -6 degree C to 15 degree C, inclusive, what is the range for the Fahrenheit temperature?27. Find the solution(s) for the equation.
|4x – 8| + 11 = 2326. Given that the formula for converting Fahrenheit temperature, F, to Celsius, is C = (5/9)(F-32). From this we can obtain the formula for converting Celsius temperature to Fahrenheit as below.F = (9*C)/5 + 32When C = -6,
F = (9*(-6))/5 + 32
= -54/5 + 32
= -10.8 + 32
= 21.2Similarly, when C = 15,
F = (9*15)/5 + 32
= (9*3) + 32
= 27 + 32
= 59Hence the Fahrenheit temperature range corresponding to Celsius temperature range of -6 degree C to 15 degree C, will be 21.2 degree F to 59 degree F.27. |a| always evaluates to a positive value irrespective of the original sign of the value of a, according to following rule: If a >= 0 then |a| = a
If a < 0 then |a| = -aSo, to find the solution(s) of the given equation |4x - 8| + 11 = 23 we will need to solve two equations according to above rule of computing absolute value. (4x – 8) + 11 = 23
=> 4x = (23 – 11 + 8) = 20
=> x = 20/4 = 5 -(4x – 8) + 11 = 23
=> -4x + 8 + 11 = 23
=> -4x = 23 – 11 – 8 = 4
=> x = 4/(-4) = -1Hence the solutions of the given equation are x = 5 and x = -1. In other words, the solution set is {5, -1}.



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