What is the answer for -3p(p+2) - (2p+3) using the distribution method?

To figure out this problem, we need to break down the steps:

-3p(p + 2) - (2p + 3)

because -3p is next to the equation in parentheses, (p + 2), you should multiply -3p into both p and 2

-3p x p = -3p² (if you multiply a variable (p) by another of the same variable with no power, it becomes squared)

-3p x 2 = -6p

so the first part of the equation went from -3p(p + 2) to -3p² -6p

and the second part of the equation has no multiplying to do

so now we add like terms!

-3p² -6p - 2p + 3

-3p² -8p + 3

order from greatest power to least power (first goes the number/variable with the highest power, then the term with a variable, and lastly the number. Right now it is currently in the correct order).

-3p² -8p + 3 is your final answer

step-by-step explanation:

duck you

step-by-step explanation:

let's assume

number of candles set =x

price of of x candles =p(x)

we are given

a candle maker prices one set of scented candles at $10 and sells an average of 200 sets each week

so, we get point as (200,10)

he finds that when he reduces the price by $1, he then sells 50 more candle sets each week

so, we can find slope

now, we can use point slope form of line

now, we can plug values

we can use point

and find b

now, we can plug it back

and we get

now, we can find revenue

we know that

revenue = price*quantity

so, we get