11. A student did a survey of teachers' ages
The cumulative frequency curves show information about the ages of the male teachers and
the ages of the female teachers.
100
90
80
70
60
Cumulative
Frequency 50
male teachers
40
30
female teachers
20
10
0
20
30
40
50
60
70
Age in years
(a) Find an estimate for the number of the male teachers older than 50 years of age.

br tat so much r

if your equation is in the form ax2 + bx + c, you can find the maximum by using the equation:

max = c - (b2 / 4a).

the first step is to determine whether your equation gives a maximum or minimum.

-x2 + 4x - 2.     thats an example hope it

4.5(4 − x ) + 36 = 202 − 2.5(3x + 28) now multiply from the paranthesis

18 -4.5x + 36 = 202 -7.5x + 70 will add the numbers

54-4.5x = 272-7.5x move x to the left and numbers to the right

7.5x-4.5x = 272-54 make the difference

3x = 218 and divide by 3

x= 72

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step-by-step explanation: