Athena paid $5 each for 2 bracelets and later sold each for $15. she paid $8 each for 3 bracelets and sold each of them for $9. write an expression that represents the profit athena made. evaluate the expression. name the property used in each step

Athena purchased a chain for $5 and sold it for $ 15, her profit for each chain is $15-$5. So for 2 chains, her net profit = 2*(15-5)

She also purchased bracelets for $8 and sold them for $9, her profit for each chain is $9-$8 . So for three 3 bracelets, her net profit = 3*(9-8)

Net profit from chains = 2*(15-5) or 2*15 - 2*5 (distributive property)

Net profit from chains = 2*10 or 10*2 (Commutative property)

Net profit from chains= $20

Net profit from bracelets = 3*(9-8) or 3*9 -3*8   (distributive property)

Net profit from bracelets = 3*1 or 1*3 (Commutative property)

Net profit from bracelets = $3

75

step-by-step explanation:

you do x-29=46 (the number of cantaloupes sold)

in order to find x, you have to find what minus 29 equals 46, meaning you'd have to add 29 to 46.

29+46=75

if you replace x with 75, the equation looks like:

75-29=46

x=75

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1