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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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Please help me out!​
seropon [69]

Answer:

Second option

Third option

Fourth option

Step-by-step explanation:

We have the following quadratic function

f(x) =(x-1)(x+7)

Use the distributive property to multiply the expression

f(x) =x^2+7x-x-7

f(x) =x^2+6x-7

For a function of the form f (x) = ax ^ 2 + bx + c the x coordinate of the vertex is:

x =-\frac{b}{2a}

Then in this case the coordinate of the vertex is:

x =-\frac{6}{2(1)}

x =-3

To obtain the y coordinate of the vertex we evaluate the function at x = -3

f(-3) =(-3)^2+6(-3)-7

f(-3) =9-18-7

f(-3) =-16

Then the vertex is:  (-3, -16)

We can see in the graph that the zeros of the function are x=1 and x=-7

Then the function is decreasing from -∞ to -3 and then it is increasing from -3 to ∞

The function is positive for x and x> 1

The correct answers are:

Second option

Third option

Fourth option

7 0
3 years ago
If 2x -3(x+4)=-5, Then x=​
kherson [118]
The answer is -7

2x-3(x+4)=-5

Multiply by -3

2x-3x-12=-5

Collect like terms

-x-12=-5

Move constant to the right to change its sign

-x=-5+12

Add

-x=7

Change the signs

x=-7

3 0
3 years ago
Read 2 more answers
What are the x and y-intercepts of the line described by the equation?<br> -6x + 3y = 18.9
-BARSIC- [3]

Answer:

x-intercept - x = 1/2y - 3.15

y-intercept - y = 2x + 6.3

Step-by-step explanation:

For x,

-6x + 3y = 18.9

-6x = -3y + 18.9

x = -3y/-6 + 18.9/-6

x = 1/2y - 3.15

For y,

-6x + 3y = 18.9

3y = 6x + 18.9

y = 6x/3 + 18.9/3

y = 2x + 6.3

8 0
3 years ago
1) (3.1 x 10^1)(4.3 x 10^-6)​
allsm [11]

Answer:0.0001333

Step-by-step explanations :

8 0
3 years ago
What is 28:36 in simplest form
xeze [42]
It would be 7:9 because if you divide each side by 4 then you can get it in simplest form
6 0
3 years ago
Read 2 more answers
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