Has the marrying age of a man changed over the years? The United States Bureau of the Census takes a formal count of everyone in the U. S. every 10 years and has provided the following data that gives the median age of an American man at the time of his first marriage. Year 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000 Median Age 25.1 24.6 24.3 24.3 22.8 22.8 23.2 24.7 26.1 26.8 Determine the average rate of change in median age per year from 1930 to 1960. a. -0.5 years of age per year b. 20 years of age per year c. -0.05 years of age per year d. +0.05 years of age per year

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step-by-step explanation:

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x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1