Lúcia is using energy at a rate of 420 kilocalories (\text{kcal})(kcal)left parenthesis, start text, k, c, a, l, end text, right parenthesis per hour (\text{h})(h)left parenthesis, start text, h, end text, right parenthesis ice skating. At what rate is Lúcia using energy in calories per minute \left(\dfrac{\text{cal}}{\text{min} }\right)(mincal)left parenthesis, start fraction, start text, c, a, l, end text, divided by, start text, m, i, n, end text, end fraction, right parenthesis?

- 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 ft 6 in means 7 1/2, because 6 in is 1/2 of a foot. 7 ft 8 in means 7 2/3 because 8 in is 2/3 of a foot. 23/3 = 7 2/3. 15/2 = 7 1/2.

23/3   *   15/2   = 57 1/2

step-by-step explanation:

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step-by-step explanation: