Show your work! A pineapple is 7 times as heavy as an orange. The pineapple also weighs 870 grams more than the orange.
What is the total weight in grams for the pineapple and orange?

into "Math".

Pineapple = p

Orange = x

is means equal

Pineapple is 7 times as heavy as an orange: p = 7x

Pineapple weighs 870 grams more than orange. p = 870 + x

Substitute p = 7x into the second equation:

7x = 870 + x

Subtract x from both sides

6x = 870

divide by 6

x = 145

The orange weighs 145 grams.

The pineapple weights 7 times the orange = 7(145) = 1015grams.

- 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