Sarah is purchasing pencils to share. each package has 12 pencils. the equation n = 12p, where n is the total number of pencils and p is the number of packages, can be used to determine the total number of pencils sarah purchased. determine which variable is dependent and which is independent. then, make a table showing the number of pencils purchased for 3–7 packages.

Answer and Step-by-step explanation:

Each package has 12 pencils

total number of pencils Sarah purchased: n = 12p

n = total number of pencils

p = number of packages

n depends on p, because the total number of pencils dependos on how many packages she will buy, so:

independent variable: p

dependent variable: n

╔═══╦══════════╦════╗

║ p     ║ n = 12p            ║ n  ║

╠═══╬══════════╬════╣

║ 3     ║ n = 12*3           ║ 36     ║

╠═══╬══════════╬════╣

║ 4     ║ n = 12*4           ║ 48     ║

╠═══╬══════════╬════╣

║ 5     ║ n = 12*5           ║ 60     ║

╠═══╬══════════╬════╣

║ 6     ║ n = 12*6           ║ 72     ║

╠═══╬══════════╬════╣

║ 7     ║ n = 12*7           ║ 84     ║

╚═══╩══════════╩════╝

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i

what is the information provided?

step-by-step explanation: