Mathematics, 30.09.2019 18:50 reticentrobbie

The shortest known adult woman is about 24 inches tall and tallest known adult woman is about 92 inches tall. write an absolute value equation that represents the minimum and maximum heights. use x to represent the heights.

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Given 2 numbers, a and b. The number exactly in the middle of a and b is $\displaystyle{ \frac{a+b}{2}}$ .

For example, the number exactly in the middle of numbers 5 and 17 is (5+17)/2=22/2=11.

Check: 11-5=6, 17-11=6

The number in the middle of 24 and 92 is (92+24)/2=116/2=58.

The positive difference between 58 and both 24 and 92 is :

58-24 = 34 & 92-58 = 34

Thus the height of a woman x, can vary at most 34, from 58. That is the height of a woman can be 34 ft less or more than 58.

In absolute value notation this is expressed as :

|x-58|≤34

what this means is that

x-58≤34 or 58-x≤34

so x≤58+34 or -x≤34-58

x≤92 or -x≤-24, that is x≥24

|x-58|≤34 ; 24≤x≤92

Answer from: Quest

the answer is f(x)=2x-1

step-by-step explanation:

Answer from: Quest

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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The shortest known adult woman is about 24 inches tall and tallest known adult woman is about 92 inc...