"if a - 7 = b(x + 2), then x = ? " i need a step by step explanation too.

choice (3), x = (2b+7)/(a-b)

Explanation:

The idea is to get all the x terms to one side (after distributing), then factoring out the common term x, finally divide both sides by (a-b) as shown below

ax-7 = b(x+2)

ax-7 = bx+2b distribute

ax-7+7 = bx+2b+7 ... add 7 to both sides

ax = bx+2b+7

ax-bx = bx+2b+7-bx ... subtract bx from both sides

ax-bx = 2b+7

(a-b)x = 2b+7 factor out the GCF x

x = (2b+7)/(a-b) ... divide both sides by (a-b)

We have all of "2b+7" over "a-b" as one big fraction. This is what choice (3) is showing.

translate k to n and reflect across the line containing jk.

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