Petra is making necklaces to sell at a craft fair. The hardware for each necklace costs $3.75, and each bead costs $0.50. The number of beads Petra needs depends on the design she
chooses. Which expression gives the total cost to make 30 necklaces with b beads?
30 (4.25b)
30 (3.75b + 0.5)
30 (0.55 +3.75)
30 (0.5b) + 3.75

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)