Roger spends $7 to buy supplies for making lemonade. He
plans to sell each cup of lemonade for $0.50.
Write an inequality to represent Roger's profit (sales minus
costs) where I is the number of cups of lemonade. Then solve
the inequality to find the minimum number of cups of
lemonade you have to sell in order to make a profit.
12_ cups of lemon juice
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Roger's profit = %0.5 (I) - $7The minimum number of cups of  lemonade you have to sell in order to make a profit = 15

Step-by-step explanation:

Roger spends $7 to buy supplies for making lemonade.

Cost price = $7

He  plans to sell each cup of lemonade for $0.50.

Selling price of one cup of lemonade = $ 0.5

Selling price of I cups = $0.5 (I)

(i) The equation that repesents profit earned by Roger is

Profit = Selling price - cost price

Profit = %0.5 (I) - $7

(ii) the minimum number of cups of  lemonade you have to sell in order to make a profit is

By selling minimum 15 cups, the profit earned is

Profit = %0.5 (15) - $7

Profit = $0.5

3x^2 - 9x + 8

Step-by-step explanation:

To simplify:

Distribute the -1 into the second term.Collect and combine like-terms (terms with the same variables or powers)

The expression can be rewritten has (2x^2 - 5x + 3) -1(-x^2 + 4x - 5)

After distributing the -1, the equation becomes:

(2x^2 - 5x + 3) + (x^2 - 4x + 5)

The like-terms are:

2x^2 and x^2-5x and -4x3 and 5

Combine the like-terms:

2x^2 + x^2 = 3x^2-5x - 4x = -9x3 + 5 = 8

Substitute the simplified like-terms into the expression, in descending order:

3x^2 - 9x + 8