Bob has 3 children, the product of their age is 72, his youngest child called justice, what are their ages

1 answer:

6 0

I have encountered this question before. Since only the product of the ages is given, there are a lot of possible combinations.

3 kids, has a youngest child - means that the 3 kids have different ages.

I performed a prime factorization on 72.

72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1

1 x 2 x 2 x 2 x 3 x 3 = 72

Possible age combination:

1 x 8 x 9 = 72
2 x 4 x 9 = 72
3 x 4 x 6 = 72
1 x 6 x 12 = 72
1 x 4 x 18 = 72

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One x-intercept of the graph of the of the cubic function f(x) = x^3 – 2x^2 – 111x – 108 is –9.

katrin2010 [14]

Answer:

The zeros of the given function are -9,-1 and 12.

Step-by-step explanation:

The given function is

$f(x)=x^3-2x^2-111x-108$

It is given that the x-intercept of the graph is -9, therefore -9 is a zero of the function.

Since -9 is the zero of the function, therefore (x+9) is a factor of f(x). Use synthetics method or long division method to divide the function by (x+9).

$f(x)=(x+9)(x^2-11x-12)=0$