Answer:
The average age was minimum at 1954 and the average age is 25.5.
Step-by-step explanation:
The given quadratic function is

It models the median, or average, age, y, at which men were first married x years after 1900.
In the above equation leading coefficient is positive, so it is an upward parabola and vertex of an upward parabola, is point of minima.
We need to find the year in which the average age was at a minimum.
If a quadratic polynomial is
, then vertex is


54 years after 1900 is

Substitute x=54 in the given function.

Therefore, the average age was minimum at 1954 and the average age is 25.5.
Answer:
A.
Step-by-step explanation:
y intercept at (0, -2) and the lines slope is 3
Im not even sure about this though
You can simplify it by adding 1 to both sides to get 4x < 12, then divide both sides by 4 to get x < 3.
I hope that answers your question!
Answer:
The age of Sue could be 7 years
Step-by-step explanation:
Jenny is 8 years older than twice her cousin Sue's age.
The first equation will be :
J = 8 + 2S ---------(1)
The sum of their ages is less than 32.
The second equation will be :
J + S < 32 ----------------(2)
Now rearrange both equations :
8 + 2S + S < 32
3S < 32 - 8
3S < 24
S < 24/3
S < 8
S = 7
The age of Sue could be 7 years.