Answer:
C Vertex is (2, 27)
Step-by-step explanation:
C Vertex is (2, 27)
For part A: you will get 3 linear factors (as the degree of the polynomial is 3). perform the division using (x-1) as your known factor and you will get (x-1)(2x²+11x+15). you can then factor the (2x²+11x+15) to get 2x^3 + 9x^2 + 4x - 15 = (x-1)(2x+5)(x+3)
for part B: since 2x+5 will provide the greatest value (assuming x>0) of the 3 factors, then 2x+5=13. solve to get x=4. if x is 4, then the dimensions are 3'x13'x7' [just sub 4 into the x's for each factor]
for part C: as to the graphing calculator, I don't have one. However, if you solve each linear factor for when it is 0, those values will be the x-intercepts. So your graph should cross the x-asix at 1, -5/2, and -3
Answer: The input variable is the number of days since September 9th.. The unit for the input variable is single days.
When you are given an equation, there is an input and an output. In this case, you put in the number of days and the output is the distance between the lava and the road.
If you make a chart of the inputs and outputs, you will see that the lava is getting closer to the road.
