If the cubic function p(x) includes the points (1, 0), (3, 0), (−4, 0), and (0, 36), which of the following represents this function? 3(x − 1)(x − 3)(x + 4) −3(x − 1)(x − 3)(x + 4) −2(x + 1)(x + 3)(x − 4) 2(x + 1)(x + 3)(x − 4)

choice #2, or −3(x − 1)(x − 3)(x + 4)

Explanation:

The first three points are zeros (or roots) of the polynomial  (1, 0), (3, 0), (−4, 0).

They imply factors (x-1), (x-3) and (x+4) and can be easily check against the factorized forms in the four choices. They allow us to narrow the choices to the first two.

Then we use the point (0,36), setting x=0 to determine the value y. In the first choice the value is -36, in the second choice it is 36, therefore the answer is choice #2.  

c is the correct answer

step-by-step explanation:

answer

a) the midrange of the data set shown is 85.5

step by step explanation

let's find the midrange.

the midrange is nothing but add the greatest value and the least value, then divide it by 2.

here the greatest value = 99

the least value = 72

midrange = (99 + 72)/2

= 171/2

midrange = 85.5

you.