The seventh grade class supplied bags of snacks and beverages for the school dance they supplied19 more beverages than bags of snacks the dance was supplied with a total of 371 items.

The number of number of bags of snacks = m  = 176

The number of beverages supplied = m + 19  = 176 +9 = 185

Step-by-step explanation:

Let us assume the number of bags of snacks = m

So, the number of beverages supplied = m + 19

Total number of items supplied  =  371

⇒ Number of (snacks + beverages) supplied=  371

⇒   m + (m +19)  = 371

or, 2 m = 371 - 19 =  352

or, m =  352 / 2 = 176  

⇒  m  = 176

Hence the number of number of bags of snacks = m  = 176

So, the number of beverages supplied = m + 19  = 176 +9 = 185

- 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