First start with what you know. The measure of the interior angles of a triangle total to $180^{o}$ so 51 + 2x + x = 180, then 51 + 3x = 180, 3x = 129, so

x = 43, the exterior angle is on a straight line with x so

x + exterior angle = 180 [since they are supplementary], since x = 43 then

43 + e = 180, so e has to be 137

8 0

2 years ago

Describe the graph of the function f(x) = x3 − 15x2 68x − 96. Include the y-intercept, x-intercepts, and the shape of the graph

solong [7]

So this would be a cubic graph because the largest exponent is a 3.

The Y-intercepts can be found by making all the x's equal 0, so then that would end up being -96 (makes sense considering a cubic graph intercepts at the origin, and this graph moves it down 96 units.

The X-intercepts (the zeros) are a bit tricky. We know that there will likely be three zeros because the exponent is a three. The zeros for this graph are 3, 4, and 8

So in Summary:

This is a Cubic graph with X-intercepts at (3,0), (4,0) and (8,0) and with Y-intercept at (0,-96)

5 0

3 years ago