32 cm 3
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There are 792 different ways of choosing 5 books from a shelf containing 12 books. This problem can be solved using the combination formula of mathematics. The combination formula of mathematics is a number of way of selecting thing from a collection and the formula stated as n(n-1)...(n-k+1)/k(k-1)...1 (Calculation: 12*11*10*9*8/5*4*3*2*1 = 95040/120 = 792)<span>.</span>
(4,-<span>∞) since you have to isolate the x first which would give you this inequality: x<4. This means that any number less than 4 can be the solution.
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Answer:
(-12, 2).
Step-by-step explanation:
x^2 + 10x = 24
Divide the + 10 by 2 to give the following identity:
x^2 + 10x is equivalent to (x + 5)^2 - 25 so:
(x + 5)^2 - 25 = 24
(x + 5)^2 = 49
Taking square roots:
x + 5 = +/- 7.
x = -5 + 7 = 2
and x = -5 - 7 = -12.
