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aleksklad [387]
3 years ago
13

Can someone explain the snake method, I don't understand how to do it

Mathematics
2 answers:
gavmur [86]3 years ago
8 0
<h3>Answer: <em>x ∈ [−2; 1] ∪ 3.5</em></h3>

Step-by-step explanation:

storchak [24]3 years ago
6 0

Answer:

  • x ∈ [−2; 1] ∪ 3.5

Step-by-step explanation:

<h3>Given</h3>

<u>Inequality</u>: (x-1)(x+2)(2x-7)≤0

<h3>Solution: </h3>

<u>If we solve the corresponding equation (x-1)(x+2)(2x-7)²= 0, we get roots </u>

  • x =  -2, 1, 3.5

<u>We need to consider the following 4 intervals: </u>

  • (−∞; −2), [−2; 1], (1; 3.5), (3.5; ∞)

<u>1st interval</u> (−∞; −2)

  • The expression (x-1)(x+2)(2x-7)² is positive as two of the multiples are negative and one is always positive (square number), and therefore  does not satisfy the inequality.

<u>2nd interval</u>  [−2; 1]

  • The expression is negative as only one of the multiples is negative, and therefore the interval (−1; 2) satisfies the inequality.

<u>3rd interval</u> (1; 3.5)

  • The expression is positive as all the multiples are positive. Therefore, the interval (1; 3.5) also does not satisfy the inequality.

<u>4th interval</u>

  • The expression is positive as above, and therefore also does not satisfy the inequality.  

<u>So, the answer to the inequality is: </u>

  • x ∈ [−2; 1] ∪ 3.5
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20 POINTS!!!
choli [55]

Hello from MrBillDoesMath!

Answer:

x = 0, 7

Discussion:

f(g(x)) =

f ( x^2-7x) =

1/ ( x^2 - 7x)


The points NOT in the domain are those where the denominator,  x^2 - 7x = 0.

x^2 - 7x   = 0       =>       factor x from each term

x(x-7) = 0            =>        one or both terms must each 0

x = 0 or x =7


Thank you,

MrB


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3 years ago
What's the factor of 18 and the sum of -9?
Klio2033 [76]
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2 years ago
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Bess [88]

Answer:

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Step-by-step explanation:

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Arithmetic Sequence

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