Graph f(x)=3x-1 and g(x)=2^x on the same coordinate plane.

what are the solutions of 3x-1=2^x?

a. -1
b. 1
c. 8
d. 3
e. 0

B. 1 and D. 3.  

Step-by-step explanation:

The figure below shows the graphs of f(x) = 3x - 1 (red) and g(x) = 2^x (blue).

The solutions of 3x - 1 = 2^x are the points at which the two curves intersect.

The solutions are at x = 1 and x = 3.

Check:

3 × 1 - 1 = 2¹     3 × 3 -1 = 2³

    3 - 1 = 2           9 - 1 = 8

        2 = 2                8 = 8

the sum of all the angles in a triangle are equal to 180

so you can add   the 3 given angles together to equal 180:

5y + 2y + 2y = 180

or since all three angles have the same letter, combine the 3 angles to equal 180:

9y = 180