If f(x) = 2x + 3 and g(x) = −x + 6, use the graph to find the solution to the equation f(x) = g(x).
a) x = 1
b) x = 0
c) x = −3 or x = 0
d) x = −3 or x = 1

A)x = 1

Step-by-step explanation:

x = 1 The lines given by y = 2x + 3 and y = −1x + 6 only intersect at (1, 5), thus x = 1 is the only real solution to the equation 2x + 3 = −1x + 6.

Pentagon : Order of rational symmetry of 7.

Rectangle : Order of rational symmetry of 2.

Explanation:

The order of rotational symmetry of a geometric figure is the number of times you can rotate the geometric figure so that its looks exactly the same as the original figure. You can only rotate the figure up to 360° degrees

Regular Pentagon:

We rotated a Pentagon 72° degrees each time to get the right shape.That sum up to 7 times in 360° which means symmetry order of 7.

Rectangle :

We rotated a rectangle 180° degrees each time to get to the right shape. That sum up to 2 times in 360° which means symmetry order of 2.