1A. Nayeli wants to earn some extra money so she sells lemonade for $2 per cup and orange juice for $3 per cup. She sells a total of 100 cups and earns $240. Later she wants to find the number of cups of lemonade and the number of cups of orange juice she sold. Which system of equations below represents this situation? 1. 2x + 3y = 240 AND x + y = 100
2. 2x + 3y = 100 AND x + y = 240
3. x + 2y = 100 AND 3x + y = 240
4. 2x + 100 = 240.AND x = 3y

1B. In the context of the problem, what does your solution (x, y) mean? Fill in the blanks for the solution sentence below: Nayeli sold cups of lemonade and cups of orange juice. Write your answer in this form: 20, 40

1. 2x + 3y = 240 AND x + y = 100

Nayeli sold 60 cups of lemonade and 40 cups of orange juice.

Step-by-step explanation:

Let

Number of cups of lemonade sold = x

Number of cups of orange juice sold = y

The system of equation could be represented by:

2x + 3y = 240 (1)

x + y = 100 (2)

from (2)

x = 100 - y

Substitute into (1)

2x + 3y = 240 (1)

2(100 - y) + 3y = 240

200 - 2y + 3y = 240

- 2y + 3y = 240 - 200

y = 40 cups

Substitute y = 40 into (2)

x + y = 100 (2)

x + 40 = 100

x = 100 - 40

x = 60 cups

Nayeli sold 60 cups of lemonade and 40 cups of orange juice.

(x, y) = (60, 40)

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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