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Thanks Ninja  

It is a new easier question!

Your question makes my brain hurt.    

you need to use brackets and make your meaning clear.

What happened to the 2???

Are you sure that the question is correct?

$$\\\lim_{h\rightarrow0} \frac{(5+h)^{-1} -5^{-1}}{h}\\\\
=\lim_{h\rightarrow0} \frac{\frac{1}{5+h}-\frac{1}{5}}{h}\\\\
=\lim_{h\rightarrow0} \left(\frac{5}{5(5+h)}-\frac{5+h}{5(5+h)}\right)\div h\\\\
=\lim_{h\rightarrow0} \left(\frac{-h}{5(5+h)}}\right)\times \frac{1}{h}\\\\
=\lim_{h\rightarrow0}\; \frac{-1}{5(5+h)}}\\\\
=\frac{-1}{5(5+0)}}\\\\
=\frac{-1}{25}}\\\\$$

$$The gradient of $ y=\frac{1}{x} $ at $ x=5 $ is $ \frac{-1}{25}$$

Your LaTex is beautiful but the answer is incorrect.   

3x-4y+2+y+8x

think of the x as a xylophone  and the y as a yak

You cannot add xylophones and yaks it just doesn't work!

Lets change the question a little so it makes mores sense.

3x+4y+y+8x

Now you have all these things can you tell me what you have more simply please?

Melody, probably yes, probably no, we don't know...

Ninja, you're a hero. You helped me subtract negative integers in a way easier way! Thank you very much! I gave you 1 point. If I could give more, I would.

The fraction for what? A math question? Which one???

$$3x-4y+2+y+8x\\\\=3x-4y+2y+8x\\\\=3x-(4y+2y)+8x\\\\=3-(6y)+8x\\\\=-(3y)+8x\\\\=\fbox{\begin{minipage}{0.8cm}\55xy\vspace{0.1cm}\end{minipage}}$$

3x-4y+2+y+8x

1/tan(5*pi)

Yes indeed. You can use the calculator, and for you might see is wrong. I have no offense with the answer, but you tried your best. The answer is -5. Check your work and you can see that the answer is -5. Love your detailed answer.

If you sub x=5 back into the formula you will find it does not work.

You have made a mistake somewhere.       

$$\frac{1}{2\frac{1}{4}}=\frac{x}{2}\\\\
$Mult both sides by 2$\\
$Oh, that is one batch you will need to multiply by 3$\\$$

Try turning both lines into the slope intercept form, and then graph the two points. Where they intercept is the solution. This method is called "solving by graphing." You could also solve by elimination or substitution if you don't have a graph handy.

x+y=-3             ---This is the first equation. Subtract x from btoh sides to get it in the slope intercept form

y = -x -3         

Now the first one is in the slope intercept form. Do the same thing to the second one.

x-y=-1                 ---Subtract x from both side

-y = -x - 1           ---Now multiply everything by a negative. This will turn the negatives into positives.

y = x - 1

Now graph these lines. Here's what they look like graphed:

Here you can see that they intercept when x = -1, and when y = -2.

The solution is then x = -1 and y = -2.

$$-56 + 63$$

This is really the same thing as:

$$63 -56$$

which comes out to

$$7$$

To solve by substitution, you find what, say, x equals. Then you put what x equals in for x in the other equation, and solve for y.

That might sound a little confusing...here's how you'd work it out though.

7 payements of 5 is really 7 times 5.

$$7 \times 5 = 35$$

The change in the amount of money she has is $45.

First, he lost 10 points, 7 times. 10 times 7 will tell us how much he lost here.

$$10 \times 7 = 70$$

He lost 70 points here.

Then, he lost 100 points. 70 + 100 will tell us the total amount he lost then.

$$70 + 100 = 170$$

The total change in his score was 170 points.

x=the number. 

3x-9=40

3x=40-9

3x=31

x=31/3

x=10.3333333

:)

Here we have to use the Pythagorean Theorem and make this into a triangle.

Start by graphing the points, and then connect them to make a right triangle.

We know that Joel deposited $25.50, and now his total is $275.00. That is the "whole". So to find n, the amount BEFORE the $25.50, we have to subtract: n=$275.00-$25.50. n=$249.50 :)

2 2/3 tsp salt :) Ok, so how I did it was the total amount of flour needed for 3 batches is 6 cups. 6 cups/2 1/4 cups= 2 2/3. That gives me how much salt Enzo needs to use.