Using concepts of quadratic equation, we have that:
a) The age of unmarried women with the highest birth rate 29 years.
b) The highest birth rate of unmarried women is of 65 births per 1000 unmarried women.
c) B(40) = 25.43, which means that the birth rate of unmarried women of age 40 is of 25.43 births per 1000 unmarried women.
The birth-rate for women of age a is given by:
[tex]B(a) = -0.33a^2 + 19.17a - 213.37[/tex]
Which is a quadratic equation with coefficients [tex]a = -0.33, b = 19.17, c = -213.37[/tex]
Item a:
The age with the highest value is the a-value for the vertex, which is:
[tex]a_V = -\frac{b}{2a} = -\frac{19.17}{2(-0.33)} = 29[/tex]
The age of unmarried women with the highest birth rate 29 years.
Item b:
The rate is B(29), which is:
[tex]B(29) = -0.33(29)^2 + 19.17(29) - 213.37 = 65[/tex]
The highest birth rate of unmarried women is of 65 births per 1000 unmarried women.
Item c:
[tex]B(40) = -0.33(40)^2 + 19.17(40) - 213.37 = 25.43[/tex]
B(40) = 25.43, which means that the birth rate of unmarried women of age 40 is of 25.43 births per 1000 unmarried women.
A similar problem is given at https://brainly.com/question/24626341
