Determine the following:
(a) dim span(f1, f2, f3, f4) ? r5[x] where
f1 = 2x + x 3 ? x 4 , f2 = 1 + x + x 5 , f3 = 1 + 3x + 2x 2 + x 3 ? 2x 5 , f4 = 2x 2 + x 4 ? 3x 5
(b) dim v ? m3×2(r) where
v = {m(w, x, y, z) : m(w, x, y, z) =
(w + x + 2y + z ? w + x ? 2y ? z)
(2w ? 2x + 4y ? z ? 2w + x ? 4y + 2z)
(w ? x + 2y + 2z w + 2x + 2y ? 2z ) ; w, x, y, z ? r}.

Write 5 numbers that round to 740 when rounded to the nearest 10

For the rule of 78, for a 12-month period, the last term in the sequence is 12 and the series sums to 78. for an 10 month period, the last term is and the series sum is . for a 15 month period, the last term is and the series sum is . for a 20 month period, the last term is and the series sum is

The table shows the relationship between the number of cups of cereal and the number of cups of raisins in a cereal bar recipe: number of cups of cereal number of cups of raisins 8 2 12 3 16 4 molly plotted an equivalent ratio as shown on the grid below: a graph is shown. the title of the graph is cereal bars. the horizontal axis label is cereal in cups. the x-axis values are 0, 20, 40, 60, 80,100. the vertical axis label is raisins in cups. the y-axis values are 0, 10, 20, 30, 40, 50. a point is plotted on the ordered pair 40,20. which of these explains why the point molly plotted is incorrect? (a) if the number of cups of cereal is 40, then the number of cups of raisins will be10. (b)if the number of cups of raisins is 40, then the number of cups of cereal will be10. (c) if the number of cups of cereal is 40, then the number of cups of raisins will be 80. (d) if the number of cups of raisins is 40, then the number of cups of cereal will be 80.