Aplane that carries mail makes a round trip each day from chicago to new york. it makes 2 intermediate stops on the way to new york and 1 intermediate stop on the way back to chicago. suppose you make a graph of the altitude of the plane for one day, with time on the horizontal axis and altitude on the vertical axis. how many times will the graph touch the horizontal axis?
a. 3
b. 6
c. 5
d. 9

Option: C

Step-by-step explanation:

As going from Chicago to New York the plane makes two intermediate stops.

This means that the graph will touch the Horizontal axis

After going back from New York to Chicago

This means that the graph will touch the horizontal axis

but the Point on the Horizontal axis at New York and Chicago is counted twice

Hence, the total times the graph will touch the horizontal axis is 5.

Hence, option: C is correct.

(x3 + 6x2 + 2x - 6) • (x - 1)

step-by-step explanation:

polynomial long division :

3.2     polynomial long division

dividing :   x4+5x3-4x2-8x+6

                              ("dividend")

by         :     x-1     ("divisor")

dividend     x4   +   5x3   -   4x2   -   8x   +   6

- divisor   * x3     x4   -   x3            

remainder         6x3   -   4x2   -   8x   +   6

- divisor   * 6x2         6x3   -   6x2        

remainder             2x2   -   8x   +   6

- divisor   * 2x1             2x2   -   2x    

remainder               -   6x   +   6

- divisor   * -6x0               -   6x   +   6

remainder                     0

quotient :   x3+6x2+2x-6   remainder:   0

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation: