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Use the calc on the home page

A linear inequality is an inequality which involves a linear function. A linear inequality contains one of the symbols of inequality... such as < or >

4 if you must know

.666

666/1000

2/3

$$\\x+\frac{2}{4x^2}+2x-8\\\\
=\frac{1}{2x^2}+2x+x-8\\\\
=\frac{1}{2x^2}+3x-8\\\\$$

You question makes no sense!

The basic cosine function has a range of [ -1, 1 ]......the "4" out in front in this case is known as the "amplitude" and it effectively increases / decreases everything by a factor of 4.

So, the range of 4cos(x)  = [-4, 4 ]   .... !!!

the ansewr is fvie

$$\\(-2x^4-3x+5x^2-x)*(x-3)\\\\
=(x-3)(-2x^4-3x+5x^2-x)\\\\
$First simplify inside the brackets if you can$\\\\
=(x-3)(-2x^4+5x^2-x-3x)\\\\
=(x-3)(-2x^4+5x^2-4x)\\\\
=x(-2x^4+5x^2-4x)-3(-2x^4+5x^2-4x)\\\\
$now expand the brackets but be careful with the -3$\\\\
=x(-2x^4+5x^2-4x)+(-3)(-2x^4+5x^2-4x)\\\\$$

That is a good start - you see if you can finish it    

There's nothing to "prove"....we can just simplify using this law of exponents → a^m * aⁿ =  a^m+n  ...so we have....

6³ x 6^-7 = 6^-4  or 1 / 6⁴ = 1 / 1296, if you prefer

answered sorry!

Here is a worthwhile video one factoring quadratics.

example

$$215*98\approx 200*100\approx 20,000$$

given (-2,5) and (-6,12)

The slope of a line - m - is defined as

chamge in y  /  change in x

And from the first point to the second, y changes by 7

And from the first point to the second, x changes by -4

So....the slope is just  (7 / -4 )  or ( -7 / 4 )

A km is much bigger than a mm so there will be a lot less of them so you will be dividing.

$$\div\;\by\;\;1000\;\;to\;get\;metres\\\\ then\\\\ \;\;\div \;\;by\;1000\; again\; to\;get\;km$$

SO IT DOES!    ARN'T YOU CLEVER.     

If               1         is      70%

then        1/7        is     10%

s0      (1/7*3) must be 30%

You cannot solve it Tenacious because there is no equal sign :)

The asker want to expand and simplify it.

(3x+5)(3x-5)

you can expand it the long way but you should learn to recognise this as the difference of 2 squares.

The brakets are the same but one has a minus and the other a plus.  (Thay are a conjugate pair)

the answer will be      $$(3x)^2-5^2=9x^2-25$$

Thanks Tenacious, you are right there are a number of methods   

You calc method is good but you actually do not need the inside brackets because division is done before addition.   BUT if you are not sure then it is always a good idea to add the brackets.

(1+(2/5)*5 = (1+2/5)*5

$$\\1\frac{2}{5}*5\\\\
=\frac{5*1+2}{5}*\frac{5}{1}\\\\
=\frac{7}{5}*\frac{5}{1}\\\\
=\frac{7}{\not{5}}*\frac{\not{5}}{1}\\\\
=7$$

Thanks Ang2061,

Good effort ang but not quite right    (I'll give you 3 points for your participation  )

$$\\(\frac{1}{3})9^3\\\\
=\frac{1}{\not{3}}\times \not{9}^3*9*9\\\\
=3*81\\\\
=243$$  

There are a number of ways you could do this.

If you know what $${\frac{{\mathtt{2}}}{{\mathtt{5}}}}$$ is as a decimal you could just type this in after the "1", then multiply by "5". I you wanted to know what $${\frac{{\mathtt{2}}}{{\mathtt{5}}}}$$ is as a decimal you could just type 2/5= into a calculator and it would tell you. You might be able to guess this as it's quite a simple fraction.

A possibly quicker method if you didn't know what the decimal of the fraction was would be to type (1+(2/5))*5=   This might look a bit over complicated but it's basically saying 1 and $${\frac{{\mathtt{2}}}{{\mathtt{5}}}}$$ multiplied by 5 equals.

"the sum of a number and 7"  is  "x + 7"

So, "twice the sum of a number and 7"  is  2 · (x + 7)  =  2(x + 7)

"the difference of the number and 4"  is  "x - 4"  =  x - 4

The equation is:  2(x + 7)  =  x - 4

Multiply out:        2x + 14  =  x - 4

Subtract x from both sides:  x + 14  =  -4

Subtract 14 from both sides:  x  =  -18

3^1/4 · 27^1/4  =  (3·27)^1/4  =  (81)^1/4  =  3     (because 3⁴ = 81)

Forgot about the hyperlink.

Just click the chain symbol in the tool bar (though you could also say it looks like a head on view of a pair of glasses at 45 degrees), just under the background colour selector. I'm sure you know or can guess the rest but just in case, the "URL" is the address from the address bar and "Text to display" is where you put "Click here" or whatever text you want to appear as your hyperlink in your post. Sorry if that was teaching you to suck eggs (not sure if that's a term common in your neck of the woods)(oops, there's another one).

The usual formula for the area of a circle is:  A  =  π·r²

Since the diameter is 20 inches, the radius will be 10 inches.

The formula for the total area of the pizza:  A  =  π·10²   --->   A  =  100π

Dividing the area into 8 equal pieces:  100π/8   --->   12.5π  ≈  39.27 sq in