The first of two numbers minus four times a second number is at least 4. Three times the first number plus the second number is more than -3. If x represents the
first number and y represents the second number, which system of inequalities best
represents the problem situation?
A 2x - 4y 2-4
3x + 2y > -3

B x - 4y 5-4
3x + y > -3

C 2x - 4y < -4
3x + y > -3

Dx - 4y 2 -4
3x + y > -3

Follow these steps using the algebra tiles to solve the equation −5x + (−2) = −2x + 4. 1. add 5 positive x-tiles to both sides and create zero pairs. 2. add 4 negative unit tiles to both sides and create zero pairs. 3. divide the unit tiles evenly among the x-tiles. x =

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.

Rewrite the following quadratic functions in intercept or factored form. show your work. y = 5x^2 + 10x