Answer: 7
Explanation: both triangles are congruent, so the mid segment is half of 14
It has a minimum value at x = 3 and f(x) = 4
Vertex form is
f(x) = a(x - 3)^2 + 4 where a is some constant to be found
From the graph when x = 5 f(x) = 15, so
15 = a * 2^2 + 4
a = 15-4/4 = 11/4
so our equation is f(x) = 11/4(x - 3)^2 + 4
Answer:
see explanation
Step-by-step explanation:
Let c represent the number of children, then
number of men = 4c and number of women = 2c
Sum the numbers of each and equate to 266
4c + 2c + c = 266, that is
7c = 266 ( divide both sides by 7 )
c = 38
Thus
4 × 38 = 152 and 2 × 38 = 76
The group consists of 38 children, 152 men and 76 women
6x + 3y = 79.5
3x + 2y = 41 y = -3/2x + 41/2 y = -1.5x + 20.5
6x + 3(-1.5x + 20.5) = 79.5
6x - 4.5x + 61.5 = 79.5
1.5x + 61.5 = 79.5
1.5x = 18
x = 12
Each shirt costs $12.
Now insert that number into the x to find the cost of each tie.
3(12) + 2y = 41
36 + 2y = 41
2y = 5
y = 2.5
Each tie costs $2.50.
The answer of 45.23 and 7.4 is 334
