Caroline is making some table decorations. each decoration is made from a candle and a holder. caroline buys some candles and some holders each in packs. there are 30 candles in a pack of candles. there are 18 holders in a pack of holders. caroline buys exactly the same number of candles and holders. (i) how many packs of candles and how many packs of holders does caroline buy? packs of candles packs of holders caroline uses all her candles and all her holders. (ii) how many table decorations does caroline make? table decorations

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

yes

step-by-step explanation: