Alan

The following diagram should help:

Note that the equation of the diagonal line is \(y=\frac{10}{17}x\)  As x goes in integer steps from 0 to 17, y only takes integer values at x=0 and x=17.

Use the cosine rule for this.

a² = b² + c² -2bc*cos(A)

In your case 'a' is x, A is 62°, b is 2.0 and c is 2.5

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M = Mary’s marbles, J = Jolie’s marbles

M = 0.6J

fraction J/(M + J) = 1/(0.6 + 1) = 0.625

percent = 0.625*100 = 62.5%

You have enough cash to pay 80% of the book price, so 0.8*price = $35

Hence price = $35/0.8. = $43.75  

f(something) = -3, so, from the graph, something1 = 0 and something2 = -4

”something” is f(f(x)), so f(f(x)) = 0 and -4

This means f(somethingelse1) = 0 and f(somethingelse2) = -4

Fom the graph we see somethingelse1a = 2 and somethingelse1b = -6

Also somethingelse2 = -2 (only one value)

This means f(x) = 2, -6, -2

When f(x) = 2, x = 3 and -7

f(x) never reaches -6

When f(x) = -2, x = 1 and -5

So sum = 3 - 7 + 1 - 5 = -8

Larry ate 9 out of a possible 30.  Therefore L = (9/30)*100 → 30%