Answer:
Step-by-step explanation:
f(x) = x^3 - 6x^2 + 11x - 6
By the Rational Roots theorem, the roots will be among ±1,2,3,6
So try the low-hanging fruit first. It is clear that f(1) = 0. So, factoring that out, you have
f(x) = (x-1)(x^2-5x+6)
Now factor the quadratic in the usual way.
Answer: b
Step-by-step explanation: because there were only four friends
x - y = 14
given the ratio x : y = 5 : 3
then let x = 5x and y = 3x, hence equation can be expressed as
5x + 3x = 56
8x = 56 ( divide both sides by 8 )
x = 7
Hence x = 5 × 7 = 35 and y = 3 × 7 = 21
Thus x - y = 35 - 21 = 14
Answer/Step-by-step explanation:
Let x hours be the number of hours Issac worked
x+6 hours be the number of hours Ruby worked
4(x+6) hours be the number of hours Svetlana worked.
x + x + 6 + 4(x+6) = 126
x + x + 6 + 4x +24 = 126
6x +30 = 126
6x = 96
x = 16
Therefore, Issac worked 16 hours.
Ruby worked 16+6 = 22 hours
Svetlana worked 22 × 4 = 88 hours.
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The answer is C to this question
