The sum of three consecutive multiples of 3 is equal to 6 more than four times the smallest multiple. what is the largest multiple ? .

a.)9
b.)12
c.)15
d.)18

 (a) 9

Step-by-step explanation:

1st multiple of 3: 1(3x)

2nd multiple of 3: 2(3x)

3rd multiple of 3: 3(3x)

Sum = 4(1st multiple of 3) + 6

1(3x) + 2(3x) + 3(3x) = 4(3x) + 6

 3x  +    6x  +    9x  =  12x  + 6

                        18x  = 12x + 6

                          6x =           6

                            x = 1

Largest (3rd) multiple is: 3(3x)

                                      = 9x

                                      = 9 · 1

                                      = 9

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)