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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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vladimir2022 [97]
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3 years ago
Someone please tell me which triangles are similar
White raven [17]

Answer:

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Step-by-step explanation:

We first need to make an equation that we can use to find the value of X. since we know that the interior angles of a triangle add up to 180 degrees we can create this,

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we can now plug ex in to find the measures of the angles. when we do that we see the angles measure 90,37, and 53 degrees. these values match with the angle measure of the two triangles on the right side of the picture.

6 0
3 years ago
If f(x) = x-6 and g(x)=x1/2(x+3)and g(x)Xf(x)<br> please help me
eduard

Answer:

I believe the answer is A

Step-by-step explanation:

Hope this helps!

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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