a. Find the set of values of x for which 4x 2 + 19x - 5

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a. Find the set of values of x for which 4x2 + 19x - 5 ≤ 0.

b. i. Express x2 + 8x - 9 in the form (x + a)2 + b. where a and b are integers.

ii. Use your answer to part i to find the greatest value of 9 - 8x - x2, and the value of x at which this occurs.

iii. Sketch the graph of y = 9 - 8x - x2, indicating the coordinates of any points of intersection with the coordinate axes.

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