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secondary 2 | Maths

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I need help with question 8 and 9

8b) mean is the sum of all hours divided by the number of students: so take 0x4 + 1x8 + 2x3 +3x5 +4x + 5x7=2.625 and solve for x

8c) Median would be the middle value (for (4+8+3+5+x+7)/2)

for x to be the smallest:

4+8+3=4+x+7

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When question says "hence...", we MUST use the result from the preceding part.

When question says "hence or otherwise ...", then we need not use the result from the preceding part.

Even though the answers for 9(b) are correct here, likely no marks will be awarded because did not follow the question instruction.

Correct method should be …

from 9(a),

x^2 -6x+2=(x-3)^2-7

so,

x^2-6x+2=0 implies

(x-3)^2-7=0

(x-3)^2=7

x-3=+sqrt(7) or -sqrt(7)

x=+sqrt(7)+3 or -sqrt(7)+3

x=5.65 or 0.35 (to 2 d.p.)