In the expression shown, p represents a rational number. 5p what value of p makes the expression equal a number less than 5? a. 4/3 b. 7/5 c. 5/5 d. 2/3

to make 5p < 5

divide by 5

p < 1

A. 4/3    4/3 >1  

(3/3 =1)

B. 7/5   7/5 >1

(5/5 =1)

C. 5/5  = 1

D. 2/3 <1

(3/3 =1)

Choice D

35x 3= 105

step-by-step explanation:

35+35= 70   70 + 35= 105

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)