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sergeinik [125]
3 years ago
10

X+7/(7×+35)*(×^2-3×-40)/×-8

Mathematics
2 answers:
Leona [35]3 years ago
4 0
I think it would be (x+7)/7
Greeley [361]3 years ago
4 0

2016 breaks down into 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7, which is the same as 2<span>5 </span>x 3<span>2 </span>x 7

When I saw this I thought that I would leave 7 as it is, and then try to make 2<span>5 </span>and 3<span>2 </span>(32 and 9) out of (10 9 8) and (6 5 4 3 2 1).

If this worked I’d have (10 9 8) x 7 x (6 5 4 3 2 1) = 2016

I quickly noticed that 10 – 9 + 8 = 9. And then playing around that

(6x5) - 4 + 3 + 2 + 1 = 32.

So I had a solution: (10 – 9 + 8) x 7 x ((6x5) – 4 + 3 + 2 + 1) = 2016

It is a pretty dull solution though. The most elegant has to be this one, tweeted earlier by James Annan (and subsequently by others):

<span>(10 x 9 x 8 x 7 x 6)/(5 + 4 + 3 + 2 + 1) = 2016</span>

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sesenic [268]

Answers:

  1. C) x = plus/minus 11
  2. B) No real solutions
  3. C) Two solutions
  4. A) One solution
  5. The value <u>  18  </u> goes in the first blank. The value <u>  17  </u> goes in the second blank.

========================================================

Explanations:

  1. Note how (11)^2 = (11)*(11) = 121 and also (-11)^2 = (-11)*(-11) = 121. The two negatives multiply to a positive. So that's why the solution is x = plus/minus 11. The plus minus breaks down into the two equations x = 11 or x = -11.
  2. There are no real solutions here because the left hand side can never be negative, no matter what real number you pick for x. As mentioned in problem 1, squaring -11 leads to a positive number 121. The same idea applies here as well.
  3. The two solutions are x = 0 and x = -2. We set each factor equal to zero through the zero product property. Then we solve each equation for x. The x+2 = 0 leads to x = -2.
  4. We use the zero product property here as well. We have a repeated factor, so we're only solving one equation and that is x-3 = 0 which leads to x = 3. The only root is x = 3.
  5. Apply the FOIL rule on (x+1)(x+17) to end up with x^2+17x+1x+17 which simplifies fully to x^2+18x+17. The middle x coefficient is 18, while the constant term is 17.
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Answer:

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Step-by-step explanation: toaster flings food using gravity boom ur welcome ;)

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