All Answers 356020 Answers

There is nothing to satisfy.  You are most likely missing an equal sign ...

Also remember that an easy thing to do is to test a point/s

\(f(x)=\lfloor x \rfloor -2\)

If x=0  what is f(0)    equal to?

See if you can make sense of this

This one doesn't work though.

There isn't a triangle ABC that fits the given lengths.

\(\lfloor x \rfloor \)     this is the floor of x. 

It means that if x is written as a decimal you should just truncate it leaving just the integer number.

so

\(\lfloor 2 \rfloor =2\\ \lfloor 2.3 \rfloor =2\\ \lfloor 2.9 \rfloor =2\\ \lfloor 2.9999999 \rfloor =2\\ but\\ \lfloor 3 \rfloor =3\\~\\ \text{So if you were going to graph } f(x)=\lfloor x \rfloor \text{over the interval [2,3]}\\ \text{ what will your graph look like. }\)

Plese describe it for me.  Where are the open circles, the closed circles etc

\(\frac{6x+1}{3x}^8=3^8\)

which is 6561

there you go!

Multiplying by - y means that the coefficient of each term will have a sign change and that each term will have one more y-value.

-3x³y + 4x²y² - xy³ - 7y⁴

The range is the set of possible y-values.

When graphed, this is a parabola with vertex (1/2, -25/4) rising upward from the vertex.

So, the possible y-values are y >= -25/4.

You are very welcome.  And welcome to Web2.0 calc  forum    

I am always very pleased when askers interact with me.  (And when they say thank you)

This would be true for all answerers here.

It leaves a very good impression and means that people are much quicker to give you quality help.

The other things that are appreciated is giving answerers point recognition by pressing the hearts icon. 

     I am saying this more for other answerers than for me.  

For me, I'd like you to discuss your question a little when you first post.

That way answerers know that you have already made some effort and it may also help them hone in on which bit you are having trouble with.  So you are more likely to get an appropriate answer straight away.

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Since  a²  varies inversely with  b³:  a²  =  k / b³.

a = 7, b = 4:  7²  =  k / 4³   --->   49  =  k / 64   --->   k  =  49 / 64

So, the equation is:  a²  =  49 / (64 · b³)

When  b = 6:  a²  =  49 / (64 · 6³)  --->   a²  =  ....

Look at:  https://web2.0calc.com/questions/algebra_23346

for a very similar problem.

When x = -8, 2x - 1 = -17.

When x = 4, 2x - 1 = 7,

Domain:  [-17,7]

The answer is 1; any value below 1 will result in attempting to take the square root of a negative number.

There will be two more roots which are the conjugates of the given roots.

f(x)  =  [ x - (1 - sqrt(2) ] · [ x - (1 + sqrt(2) ] · [ x - (2 + sqrt(5) ] · [ x - (2 - sqrt(5) ]

Can you do the expanding?

If they lie on the same side of the line so that the circles are internally tangent, the distance between the centers is 2.

If they lie on opposite sides of the line so that the circles are externally tangent, the distance between the centers is 8.

Assuming that they both lie in the same plane.

Thanks so much!

Thanks you so much!

woops

ok...

ohhhhhhh it's 8/9

Ok, now it is solvable. The first clue narrows the options down to 14 options: 1089, 1369, 1849, 2209, 2809, 3249, 3969, 4489, 5329, 5959, 6889, 7569, 8649, 9409. 

After looking through all the possible options, we can narrow down our list furthur (the number must have 2 of the same digits) : 2209, 3969, 4489, 5959, 6889, 9409.

Looking through the list again, we see that only \(\color{brown}\boxed {3969}\) satisfies all 4 conditions. 

ok?

you aren't asking a question here...

can you fix this?

this is answered already

Thank you very much 

Yes, that is the only one it could be.

With these multiple choice questions it is often easier to get the answer by elimination rather than by necessarily knowing which one is correct.   

If 3 are wrong then the last one must be correct.    ;)

It should be the top left one