Max rewrote the function f(x) = 4x^2 + 16x + 8 in vertex form by completing the square. He concluded that the vertex is (-2,4), which was incorrect. Consider Max's work, listed below.

In which step did Max make a mistake?

Step 1:f(x) = 4x^2 + 16x +8

Step 2:f(x) = 4(x^2 +4x) + 8

Step 3:f(x) = 4(x^2 + 4x + 4) + 8 – 4

Step 4:f(x) = 4(x + 2)^2 + 4

Valentina is subtracting from . she finds the lcd to be 15y2. what is valentina's next step?

Paula makes stained-glass windows and sells them to boutique stores. if her costs total $12,000 per year plus $4 per window for the frame. how many windows must she produce to earn a profit of at least $48,000 in one year if she sells the windows for $28 each? 1. define a variable for the situation. 2. write an inequality that represents her profit. note: revenue is money coming in. cost is money going out. profit is the difference between the revenue and the cost. in other words: revenue - costs profit 3.using words, describe how many windows she must sell to have a profit of at least $48,000.

Mandy and four of her friends want to see a movie. if m represents the cost for one person to see a movie, which expression represents the cost for mandy and her friends to see a movie?