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9x - 45  ...... just "take out" a "-1" and reverse the order of terms

So we have

-1 (45 - 9x)

OK...here's No. 3

y ≥ -2x² -2x + 1

There's not much to  "solve" by hand, here.....a graph of the solution area is more appropriate

Note that the solution area (in blue) lies "above" and just "touching" the parabola (this is indicated by the "≥" symbol)

I don't know if this is what you're looking for, or not.......

Here is a clearer image with examples:

Thanks Chris.   

Nice one, Melody.....!!!

@@ End of Day Wrap:     Mon 15/9/14     Sydney, Australia      Time 9:550m        ♬

Hi everyone,

Lots of great answers today from CPhill, Alan, DragonSlayer554 and myself.  That's it, thank you 

Now for a few interest posts:

1,2) Equations with absolute values  (Thanks Chris)

Tues  16/9/14

1) Rosala's Laughs.    (Thanks Rosala)

You "trialled"  x=8 and it worked.

You did not show us that you had "trialled" any other number .  

We are not here to do all your homework1

1) $$(\sqrt a)^{10}=a^5$$

Now that is a better question for Google.  

I cannot see the diagrams / pictures either.  

Just put this into the onsite calculator.....!!!

I don't see any problems on here, Phanolo......!!!!

Can you message me with your problem(s) ???

A polynomial always has a domain of all real numbers.....

@Cphill do you know how to do 3-5?

I'm not seeing anything here.......

Hint    ^ means power of 

Now jsut do it on the calc on the home page.

Start by multiplying both sides by 3 that will get rid of the fractions.

$$a^{-12}=\frac{1}{a^{12}}$$

$$\\f(x)=\frac{f(x)-\sqrt x}{5}\\\\
5f(x)=f(x)-\sqrt x\\\\
4f(x)=-\sqrt x\\\\
f(x)=\dfrac{-x^{0.5}}{4}\\\\
f'(x)=\dfrac{-0.5x^{-0.5}}{4}\\\\
f'(x)=\dfrac{-0.5}{4\sqrt{x}}\\\\
f'(x)=\dfrac{-1}{8\sqrt{x}}\\\\$$

I think that is what you wanted.  

Take it all to one side and put equal to 0

Then use the quadratic formula. 

Think of a number line.

start at -5 then move 2/7 of a unit further to the negative end.  Where do you end up?

Just google   y=sinx   and you will see lots of images.

I don't think that there really are any steps.

I can look at that and see that x can be any real value.

A fraction line is basically a division but perhaps you should give us an example.

If it was 2 and a half multiplied by 3 and a quarter than it is really like this

(2+1/2) * (3+1/4)