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lyudmila [28]
3 years ago
12

Critical points of x+5/x+2>0

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
8 0

Answer:

{-5, -2}

Step-by-step explanation:

In a case like this please use parentheses to remove ambiguities.  If I were to take your "x+5/x+2" literally, I'd have to write x             plus 5/x           plus 2.

I suspect that you actually meant (x + 5) / (x + 2), and will start with that.

First of all, this function is not defined at x = -5 or at x = -2.  Thus, -5 and -2 are critical points.  

Secondly, there may be one or more critical points beyond this.  To find out, we have to differentiate (x+5)/(x+2):

           (x + 2)(1) - (x + 5)(1)

f '(x) = ------------------------------

                  (x + 2)

Here it's clear that x cannot = -2, which would cause division by zero.

Thus, our critical values are {-5, -2}.

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Ghella [55]

10-\frac{3x-1}{2} =\frac{6x+3}{11}

10 = \frac{6x+3}{11} + \frac{3x-1}{2}

10 = (\frac{6x+3}{11} \times  \frac{2}{2} ) + (\frac{3x-1}{2} \times  \frac{11}{11} )

10 = ( \frac{2(6x + 3)}{22} ) + ( \frac{11(3x - 1)}{22} )

10 =  \frac{12x + 6}{22}  +  \frac{33x - 11}{22}

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10 =  \frac{45x - 5}{22}

10 \times 22 = 45x - 5

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220 + 5 = 45x

225 = 45x

\frac{225}{45}  = x

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5 = x

7 0
2 years ago
What is the solution to this equation -13x =25
abruzzese [7]

Answer:

-1 12⁄13

Step-by-step explanation:

-13x = 25 [Divide by -13]

x = -1 12⁄13

13 is your <em>divisor</em>, which will be your denominator, and the numerator is your <em>remainder</em><em>.</em><em> </em>Since 13 goes into 25 ONCE, 1 gets multiplied by 13 to get 13, then deduct that from 25 to get your remainder of 12. This is where you start putting the pieces together as a mixed number. Then attach the negative because whenever you divide a positive by a negative, you get a negative:

-25⁄13 = -1 12⁄13

I am joyous to assist you anytime.

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Answer:

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Step-by-step explanation:

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