The function f(x)=2x^2-8x+7 has a maximum of how many turns?

1

Step-by-step explanation:

This is a quadratic function which is parabolic in shape.  By definition, it has a vertex which serves as the (only) max or min point; 1 turn.

An equilateral triangle has all 3 sides the same length.

Set two of the sides to equal each other and solve for X, then you can calculate the length of the sides.

12x - 22 = 10x - 6

Add 22 to both sides:

12x = 10x + 16

Subtract 10x from both sides:

2x = 16

Divide both sides by 2:

x = 8

Now you know x, solve for the side length:

12x - 22 = 12(8) - 22 = 96-22 = 74

10x-6 - 10(8) - 6 = 80 -6 = 74

7x +18 = 7(8) +18 = 56+18 = 74

Each side is 74 units.