High temperatures for several days are shown in the table. which answer describes the average rate of change from day 3 to day 5 ?

The high temperature changed by an average of -3 degrees per day from day 3 to day 5.

Step-by-step explanation:

We are given a table which holds the record of highest temperatures recorded in 5 days.

We are to determine whether which of the given answer options describes the average rate of change from day 3 to day 5.

Avg. rate of change from day 3 to 5 =

Therefore, the correct answer option is:

The high temperature changed by an average of -3 degrees per day from day 3 to day 5.

(here negative sign shows the decrease in the temperature)

(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

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,