A machine can make 14,400 nails in 6 hours? A second machine can make twice as many nails per hour. What is the constant of proportionality between the number of nails and the
number of minutes for the second machine?

final total: 63

step-by-step explanation:

60 times sales tax

60 times 0.05

3

60 + 3

63

54.667> 54.666

17.889< 17.899

these are both true

x^2 + 10x + 38 + 161/x-4

to find this, you'll need to synthetically divide using synthetic division.

here's how you would set it up:

4 is what you're dividing by (set x -4 = 0)

the numbers you are 'dividing' by are 1, 6, -2, and 9 or the coefficients of the terms listed above.

bring the first term down (1), multiply that by 4 before raising it to the next term to add (6). repeat this process as so:

6 + 4 = 10; 10 x 4 = 40; 40 - 2 = 38 x 4 = 152 + 9 = 161

161 is over x-4 as there are now two constants and you cannot combine them.

also, i'm not sure if it was -9 or +9, so i assumed.

hope this !