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Calculus

The branch of mathematics that deals with the study of continuously changing quantities, with the use of limits and the differentiation and integration of functions of one or more variables, is called Calculus. Calculus analyzes aspects of change in processes or systems that can be modeled by functions. The English physicist, Isaac Newton, and the German mathematician, G. W. Leibniz, working independently, developed calculus during the 17th century.

25,068 Questions

How can you Solve this problem by substitution 6X- Y equals -9 4 plus 7X equals -Y?

We have two equations.
6x-y=-9 and -y=7x+4.

We substitue 7x+4 into the first equation and we have

6x+7x+4=-9 or 13x=-13 so x=-13/13 of -1
Now plug that into either equation and we have
-y=-7+4 or -y=-3 so y=3.
The solution is (-1,3)

8x plus 5 equals 5 plus 6 x?

8x+5=5+6x

1. Get variables on the same side by subtracting 6x from both sides.

8x-6x+5=5+6x-6x

2x+5=5

2. Move all the constants to the side opposite of the variable side. (5 is a constant. Any value without an x.)

2x+5-5=5-5

2x=0

3. Get the x by itself by dividing both sides by 2.

2x/2=0/2

x=0

Your final answer is x=0

What does E equals MC² mean?

E=MC2

Energy equals the mass times the speed of light squared

E=energy

M=mass

C=speed of light

This is a formula for either converting mass to energy or light to equivalent matter.

The highest theoretical speed possible is the speed of light. No real matter currently known of can exceed the speed of light.

Albert Einstein created the formula to calculate the amount of energy in matter.

For example: 1 kg of water has 111 g of hydrogen atoms. So...

Energy=Mass (0.111) x the speed of light (3x10^8) squared, so...

0.111 multiplied by 3x10^8 multiplied by 3x10^8 equals

9.99x10^15 !

Hope you liked my explanation! (+correction and elaboration)
It is the mass-energy equivalent. The "e" stands for energy, the "m" stands for mass (rest- mass- basically when it is not moving) and the "c" stands for the speed of light. So to work out the energy in something you just take the speed of light (approximately 300,000 km per second in a vacuum),square it and then times it by it,the mass that it has ; this will show you that if all the mass in that object was suddenly converted to energy, how much it would be. It turns out to be a lot even for something tiny like a few molecules!
It means that any type of energy has an equivalent mass; and mass has an equivalent energy. It also provides the formula to calculate one, on the basis of the other (the proportionality constant).

Is 3x plus 2 equals 0 linear?

Yes. As there is no x² or higher term.

Actually, 3x+2=0 boils down to x=-2/3, and thus it's a vertical line on the graph paper going through -2/3 on the x axis

Is y equals 2x-1 and y equals 2x plus 1 on the same line?

No. The two lines are parallel with the first line being two units lower than the second.

3x plus y equals 6 what does y equal?

That's going to depend on the value of 'x', and it'll change every time 'x' changes.

Whatever number 'x' happens to be at the moment, 'y' equals 6 more than

triple the negative of that number.

What are the solutions to x plus 4 equals 2?

x+4=2

x=2-4 (taking 4 to other side )

x=-2

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substituting x=-2

x+4=2

-2+4=2

2=2