Question

[10.01] Which is the simplified form of 9 times x minus 18 all over 4 times x minus 8.?

9 times x minus 1 all over 4 times x minus 1.

9 over 4.

9 over 2.

negative 9 over 4.

Answer 1

9 times x minus 18 over four times x minus 8 can be written as

\[\frac{9x-18}{4x-8}\] You can take 9 common from the numerator and 4 commonn from the denominator and use the reverse of the distributive property of arithmetic.

Like so..

\[\frac{9(x-2)}{4(x-2)}\] You can then cancel \((x-2)\) thereby leaving you with

9/4 or 2.25.

Understood? :)

Answer 2

yea and i got 2.25 lol i understood it now

Answer 3

Be D lol

Answer 4

Ok, lets look at it in clear manner.

(9x-18)/(4x-8)

When you look at this you can see that you can actually factor out in both denominator and numerator.

For the numerator you can factor out 9

so, 9*x-9*2 = 9(x-2)

In denominator,

4*x-4*2 = 4(x-2)

Now let's rewrite the fraction

9(x-2) / 4(x-2)

Yes, you can cancel out the (x-2); so the answer is 9/4
We can cancel out (x-2) because let's say x=4, you will get 2 for (x-2) in both cases and you can cancel them out.

Hope it helped.