1. Find a if x³ + ax² - x -8 is divisible by x -1

a = 8

Step-by-step explanation:

x-1 = 0

x = 1

let x³ + ax² -x -8 be p(x)

hence, p(1) = (1)³ + a(1)² -1 -8 = 0    (since, x-1 is a factor)

= 1 + a - 1-8

= a - 8 = 0

therefore, a = 8

10.416 meters per second

step-by-step explanation:

distance=1 00 meters

time= 9.6 seconds in decimal form or 9 3/5 as a mixed number

average speed= 100/9.6

=10.416 meters per second or 10 52/125 as a mixed number.

to find the total number of combinations, multiply the quantity of each item by each other:

2 pairs of shoes x 3 pairs of shorts = 6 different combinations.