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It keeps coming up as incorrect. That's why I am so confused. But I do understand how you got your answer...because there isn't anything else left.

Because you were only given a's and h's .

would you like me to make up some numbers? (only joking)

would you like me to try and draw you a graph?

I am confused. Why aren't there any numbers or letters?

Your pictures may be entertaining but please do not put them in the titles.  

It is not a good look and they will just be deleted so there is no point!

You can't do anything with it unless you have more information.

If there are letters (pronumerals) in common, they can be factored out too

6xa+9ya-3za

= 3a(2x)+3a(3y)-3a(z)

=3a(2x+3y-z)

ooh! wait. 

>>They have no letters in common and the only number that goes into 3,9 and 6 is 3 (1 doesn't help)

So what happens when there are letters in common? 

Yes that is right - the brackets are not needed.

It is because 

$$(-x)^2=(-x)*(-x)=(x)^2=x^2$$

yes! thanks! helped me lots! (:

Again,

I have done one for you. You see what you can do with this one and then we will discuss how you go. 

It is very good that you are asking questions.

3*2x=6x

I split the 6x up because I wanted to factor out the 3.

comprehendo?

I did one of these for you Sally and I tried really hard to explain it.

why don't you have a go at this one and then we'll talk about how you get on with it.  

Do a rough graph and put the values on.  that will help too.

If you don't know what I mean I can show you - but think about it first.

if it were just f(x) and not f(-x) would the end result still be 2(x)²+4? 

you are most welcome.

If t is on the horizinal axis and f(t) is on the vertical axis (which is normal)

f(t) = 7/t;    t = a, t = a + h

f(a)=7/a

f(a+h)=7/(a+h)

The time difference between time=a and time=a+h is a+h-a=h (this is the horizonal difference)

f(a+h)-f(a) is the vertical difference

the average rate of change of the function is the

(difference between the function values at the end points)/(difference in time)

Like speed = distance/time OR

like the gradient of a line where A and B are two point on the line

=(difference between the y values  /difference in the x values )

Average rate of change= [f(a+h)-f(a)]/h

partially...where did you get 2x from?

thank you!!

6x+9y-3z

They have no letters in common and the only number that goes into 3,9 and 6 is 3 (1 doesn't help)

3*2x+3*3y-3*z=3(2x+3y-z)

understand?

Function: f(t)=2t²+4

find f(-x)

You just have to replace all the ts with -x

$$\begin{array}{rll}
f(-x)&=&2(-x)^2+4\\\\
&=&2x^2+4\\\\
\end{array}$$

NinjaDevo has redone most of this - this is his version

Nope never

NONE!!!!!!!!!!

(2^2 + 2) * (24/3 - 99^0)

Anything raised to the 0 power is one.

(2^2 + 2) * (24/3 - 1)

(4 + 2) * (24/3 - 1)

(6) * (7)

42

Pumpkin is right...kind of :)

Scientific notation is a number times 10 to the something power.

We usually use this when dealing with huge numbers that can be rounded some.

So 70733 in scientific notation is 7.0733 x 10⁴

Also it's inportant to note that in scientific notation you can't have something in the tens place and up.

Meaning you couldn't write this as 70.733 x 10³ - that wouldnt be in scientific notation

You've never had pie zegroes?

I personally like homemade apple pie.