The quantities xxx and yyy are proportional.

xxx yyy

222 141414

666 424242

111111 777777

Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x.

r =r

Therefore the constant of proportional is r=7.

Step-by-step explanation:

The quantities x and y are proportional.

      x                y

i)     2              14

ii)    6               42

iii)   11               77

Since x and y are proportional.

y= rx

(i)

Now plug y= 14 and x=2

14=r.2

(ii)

Now plug y= 42 and x=6

42=r.6

(iii)

Now plug y=11 and x=77

77=r.11

Therefore the constant of proportional is r=7.

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

7 weeks

step-by-step explanation:

convert each fraction to the least common multiple of 20, so 3/4 = 15/20 & 1/10 = 2/20, then divide 15 by 2 and you get a little over 7, so the food will last 7 weeks.