30 men repair a road in 56 days by working 6 hours daily. In how many days 45 men will repair the same road by working 7 hours?

time taken is 32 days,

32 days

Step-by-step explanation:

Men. Hours. Days

30. 6. 56

45 7. X

More men less hours: inverse relation, switch the fraction 30/45 to 45/30.

More hours less days: inverse relation, 6/7 switch to 7/6.

(45/30)*(7/6) = 56/x

7/4 = 56/x ( cross multiplication)

7x = 4*56

x = 224/7

x = 32

- 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

yes because there is exactly one y value for every x value

for function there can't be more than one value for every x value