Answer:
The zeros are

Step-by-step explanation:
we have

we know that
The formula to solve a quadratic equation of the form
is equal to

in this problem we have
Equate the function to zero
so

substitute in the formula

therefore

Answer:Male 60% Female 40%
we have

we know that
The x-intercept is the value of x when the value of the function is equal to zero
so
in this problem
Find the roots of the function
equate the function to zero

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Complete the square. Remember to balance the equation by adding the same constants to each side


Rewrite as perfect squares

Square root both sides






therefore
<u>the answer is</u>
the x-intercepts are the points
and 
Answer:
area: 454.2 sq.cm
perimeter: 77.7 cm
Step-by-step explanation:
to find area, find the area of all the separate shapes and add them together:
semi-circle:
radius is 12 cm
area =
= 226.2 sq.cm
separate the trapezoid into two right triangles and a rectangle.
area for triangles:
(5)(12) = 30
30 x 2 = 60 sq.cm (since there are two triangles)
area for rectangle:
12 x 14 = 168 sq.cm
area of whole shape: 226.2 + 60 + 168 = 454.2 sq.cm
for perimeter, just add the length of the exterior sides together.
we have some unknown sides, such as the semicircle and the sides of the trapezoid
we can find the hypotenuse of the triangles we used earlier to find the sides of the trapezoid with pythagorean theorem




c = 13 cm
to find the outside perimeter of the semi-circle, solve as if you were finding the circumference of a normal circle and divide it in half
= 37.7 cm
now add it all up:
14 + 13 + 13 +37.7 = 77.7