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Slope is how steep it is. Slope can be find with the formula y two- y one ove x two- x one. The slop is 2/5. Good luck with your slope. I hope you understand how I explained.

All you can do is leave out the brackets - it is as simple as it gets already  :)

LOL!!!!

Well it is nice to know that I am capable of choosing a simple method sometimes.

This is very rare for me.    LOL

That is ok Chris - we were probably answering at the same time :)

$$\\x^2 + 5/9x=1/9\\$$

multiply both sides by 9 to get rid of the fractions

$$\\9x^2+5x=1\\
9x^2+5x-1=0\\
$now you can use the quadratic formula to solve it.$$$

This means how many spaces from zero it is and the answer would be 5 since it is 5 units from 0.

Sorry, Melody....I kinda' spilled the beans already........

just do it on the sit calc  (or do you need to do it by hand?)

Enter it as

(7+1/4)*(9 +3/4)*2

This is known as the "absolute value"...it represents the distance on the number line from 0 to the number in the absolute value bars.....in this case, the distance from 0 to -5 is just 5. And since distance is always ≥ 0, then absolute value is always ≥ 0....

Good for you Jeff. My name is Rosalie.

It means how far is -5 from zero on  the number line.

What do you think that the answer is?

Very impressive,  Melody...!!!!!

[I tried a WAY more complicated approach....it didn't work as well as this....LOL!!!....genius in simplicity.....!!! ]

Melody....did you take a snip of your Excel spreadsheet and upload it to Gyazo..???

This is a polynomial....and the domain for a polynomial is all real numbers....this is because a polynomial is a continuous function ...i.e., there are no "breaks" in its graph....

[ Note... "all real numbers" is the same thing as ( -∞, ∞ ) ]

If two things are in the same proportion then they are enlargements or reductions of one another.

It can refer to numbers or shapes

Slope  is defined as....   change in y / change in x  ...so  ....y changes by -20 for every "horizontal" change in "x" of 50...

Therefore

m = -20 / 50  = -2/5    where m is the slope...!!!

Use asin

inverse sine and arc sine are the same thing :)

I did this is excel.  Is it what you want?

OK....this seems a little confusing....but it's not too bad....

First, we need to see that x= √2 ≤ pi.....so this tells us that we should use the first piecewise function to evaluate h(√2)..so we have

h(√2) = floor (4√2) = 5

Now.....we want to put this result back into h(x)...but note....now we must use the piecewise function 3 - x since the "x" we're putting into h lies between pi and 5.2

So we have

f(5)  = 3 - 5  = -2

So h(h(√2)) just evaluates to -2

x² + 5x = 0

x(x + 5) = 0

x = 0 v x + 5 = 0

x = 0 v x = -5

Where v is the inclusive disjunction. (basically means "or")

possible Wolfram|Alpha

2x+1=x

x=-1     this is NOT in the relevant domain so its no good

7-x=x

7=2x

x=3.5   not in given domain

10-2x=x

10=3x

x=10/3       YES

10-x=x

10=2x

x=5           YES

so there are 2 solutions

$$x=5\qquad or \qquad x=3\frac{1}{3}$$

 pleasse ask if you do not understand :)

I'll second what shania said.....very nice....

Notice that there are 11 of them......25 - 35....!!!