1. A merchant sets the selling price of an article 40% above what it cost him. Then, seeing it did not sell, he decided to reduce the figure by 15%. The final selling price was $8.65. What did the article originally cost?​

Work Shown:

x = original cost (in dollars)

1.40x = increasing the cost by 40%

0.85*1.40x = decreasing the previous cost (1.40x) by 15%

Notice how a decrease of 15% means you pay the remaining 85% of the price, which is where the 0.85 comes from.

The expression 0.85*1.40x simplifies to 1.19x after multiplying the 0.85 and 1.40

The expression 1.19x is the final cost after the increase of 40% and the decrease of 15%

Set this equal to 8.65 and solve for x

1.19x = 8.65

x = 8.65/1.19

x = 7.2689075630252  which is approximate

x = 7.27 dollars

Let's check the answer

x = 7.27

1.40x = 1.40*7.27 = 10.178 = 10.18

After an increase of 40%, the cost is now $10.18

Now decrease it by 15%

discount = 15% of 10.18 = 0.15*10.18 = 1.527 = 1.53

The customer saves $1.53 and the final price is 10.18-1.53 = 8.65

So everything works out as we expect. The answer is confirmed.

b

step-by-step explanation:

given

- 2 (3x + 12y - 5 - 17x - 16y + 4 )

simplify the parenthesis by collecting like terms

= - 2 (- 14x - 4y - 1) ← distribute the parenthesis by - 2

= 28x + 8y + 2 → b

to plot points   for x just start at the origin (middle) and go to the left however many times it say(if the number is a positive) if the number is a negative then go right however many times it says if it is 0 go nowhere

now keep you pencil there and go up however many times it says on y(if it is positive) if it is negative then go down however many times it says. if it says 0 go nowhere.

you have just plotted a point! now when you finish plotting all of them connect them with a ruler

plot each point as (-3, 7), (0,4), (3,1), (8,-4)   in the parenthesis on the left of the comma is x and the right is y.