A. Let ⋆ be the binary operation on Z (set of integers) defined by a ⋆ b = 2ab + 5
1. Show that ⋆ is commutative. Hint: Show that a ⋆ b = b ⋆ a
Solution:

2. Show that ⋆ is associative. Hint: Show that (a ⋆ b) ⋆ c = a ⋆ (b ⋆ c)
Solution:

B. Let ⋆ be the binary operation on Z (set of integers) defined by
a ⋆ b = a + b + ab
1. Show that ⋆ is commutative. Hint: Show that a ⋆ b = b ⋆ a
Solution:

2.Show that ⋆ is associative. Hint: Show that (a ⋆ b) ⋆ c = a ⋆ (b ⋆ c)
Solution: ​

45

step-by-step explanation:

to find a percentage, add a decimal in front and multiply it by the other number.

.25 times 180= 45

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.

16

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.