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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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A bookstore has 5 boxes of 10 in each box on Monday the bookstore sold 20 books how many books remain to be sold?
AlekseyPX

Answer: 30

Step-by-step explanation: five boxes with ten each which means there's a total of 50 item if they sold 20 you would do 50 -20=30

8 0
2 years ago
Leah has The flowers shown she wants to put them in 4 vases with the same number in each case how many flowers does she need to
dsp73

Answer:

The solution is obtained by dividing the number of flowers by the number of vases.

Step-by-step explanation:

The story problem is very straightforward. Normally, you need to read the problem and understand it.

Let's look at the question again.

Although we do not have all the quantities, we can still show how to solve the problem.

Let x be the total  number of flowers.

There are 4 vases.

Therefore, the number of flowers in each vase will be:

x/4

Flow the same rule for similar problems.

5 0
2 years ago
What is the volume of the prism
maria [59]

Answer: it may be 85 but i didnt get anything else

8 0
3 years ago
Read 2 more answers
Please solve this problem.
just olya [345]

x=number of oranges.

y=number of bananas.

$5

we can suggest this system of equations:

x+y=12

0.5x+0.25y=5

We can solve this system of equations by substitution method.

x=12-y

0.5(12-y)+0.25y=5

6-0.5y+0.25y=5

-0.25y=5-6

-0.25y=-1

y=-1 /- 0.25=4

x=12-y

x=12-4=8

Answer:

<em>Tanya bought 8 oranges and 4 bananas.</em>

4 0
2 years ago
Read 2 more answers
Hi guys, can anyone help me with this triple integral? Many thanks:)
Crank

Another triple integral.  We're integrating over the interior of the sphere

x^2+y^2+z^2=2^2

Let's do the outer integral over z.   z stays within the sphere so it goes from -2 to 2.

For the middle integral we have

y^2=4-x^2-z^2

x is the inner integral so at this point we conservatively say its zero.  That means y goes from -\sqrt{4-z^2} and +\sqrt{4-z^2}

Similarly the inner integral x goes between \pm-\sqrt{4-y^2-z^2}

So we rewrite the integral

\displaystyle \int_{-2}^{2} \int_{-\sqrt{4-z^2}}^{\sqrt{4-z^2}} \int_{-\sqrt{4-y^2-z^2}}^{\sqrt{4-y^2-z^2}} (x^2+xy+y^2)dx \; dy \; dz

Let's work on the inner one,

\displaystyle\int_{-\sqrt{4-y^2-z^2}}^{\sqrt{4-y^2-z^2}} (x^2+xy+y^2)dz

There's no z in the integrand, so we treat it as a constant.

=(x^2+xy+y^2)z \bigg|_{z=-\sqrt{4-y^2-z^2}}^{z=\sqrt{4-y^2-z^2}}

So the middle integral is

\displaystyle\int_{-\sqrt{4-z^2}}^{\sqrt{4-z^2}}2(x^2+xy+y^2)\sqrt{4-y^2-z^2} \ dy  

I gotta go so I'll stop here, sorry.

7 0
2 years ago
Read 2 more answers
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