7. A clerk at a bookstore is restocking a shelf of best-selling novels. He has five copies each of three different novels. a) How many different ways can he arrange the books on the shelf?

b) How many different ways can these books be arranged on the shelf if the copies of the same novel must be grouped together?

answer: integers are just whole numbers: positive, negative, and zero.

i = {-∞, -2, -1, 0, 1, 2, 3, ∞}

let x = 1st integer

let y = 2nd integer

x = 3y + 17   {equation 1}

xy = -24         {equation 2}

substitute 3y+17 in place of x n equation 2

and solve for y.

(3y+17)y = -24

3y2 + 17y = -24

3y2 + 17y + 24 = 0

from quadratic equation:

y = [-17±√(172-4(3)(24))]/(2(3))

y = (-17 ±√1)/6

y = (-17+1)/6   or     y = (-17-1)/6

y = -16/6           or     y = -18/6

y = -2 2/3         or   y = -3

since we are dealing with

y = -3

x = 3y+17 = -9+17 = 8

the integers are -3, 8

step-by-step explanation:

what is the missing angle?

sorry for any inconvenience this may have caused try again

try again.

answer is 60/15 use pemdas and simplify the top and bottom. then divde by 5 and

final answer 12/3

final simplified 4/1