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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 do you solve -20 equals -4x plus 6?

-20 = -4x +6

add 20 to both sides

0 = -4x +26

4x = 26

x = 26/4 = 6.5

Can you solve 12 parenthisis 3x - 8 parentisis equals 48?

12(3x-8)=48

  1. Distribute the 12 to the 3x and -8, that would give you 36x-96=48
  2. Next add the -96 to both sides of the equation resulting in 36x=144
  3. Lastly divide both sides of the equation by 36 giving you the result of x=4

How many solutions does 2x plus y equals 5 and 2x plus y equals 4 have?

None. When these two equations are graphed, the two lines are parallel.

Since they never intersect, there is no point that satisfies both equations.

How do you solve this problem it just says solve x2 plus 3y equals 7 3x plus y2 equals 3?

x2 + 3y = 7

3x + y2 = 3

3y = x2 + 7

y2 = -3x + 3

y = x2/3 + 7/3

y = ± √(-3x + 3)

If you draw the graphs of y = x2/3 + 7/3 and y = ± √(-3x + 3) in a graphing calculator, you will see that they don't intersect, so that the system of the given equations has not a solution.

How is 17.2 x 40 equaled to 688.00?

17.2*40 = 17.2*(10*4) since 40 = 10*4

=(17.2*10)*4 by the associative rule for multiplication

= 172 *4

=(100+70+2)*4

= 400+280+8

= 688

A car and a train travel from Texas to Colorado the car travels at 200 miles an hour with 3 stops for gas which last for 15 min the train travels at 150mph with 2 stops that last for 10min who is 1?

There's not enough information to answer that.

You also have to know:

-- Did they both start out from the same place ?
-- Did they both start out at the same time ?
-- How long was each of the five stops mentioned ?
-- What's the distance from the starting point to the station ?
-- How long can the car keep going at 200 miles an hour ?

When were irrational numbers first used?

If you mean by 'used' when were they first discussed then that was probably the Pythagoreans of Greece around the 5th century BC. They didn't use them so much as argue about them!

The first mathematician to use them systematically was Abu Kamil Shuja ibn Aslam of Egypt, around the 9th century. He used them as solutions and coefficients of equations.

For more information please see the wikipedia article about irrational numbers.

What is 5 plus 91?

The answer is 96. Simply add the numbers together arithmetically as you would for the problem two plus two. To check your work, a calculator is the best option.

How do you find out f in f-6over5 equals 0?

(f - 6) / 5 = 0

Multiply each side by 5:

f - 6 = 0

Add 6 to each side:

f = 6

Notice that (f - 6) multiplied or divided by anythingalso equals zero.

What does x equal in the equation -x plus 8 equals 14?

- x + 8 = 14

Subtract 8 from each side:

- x = 6

Multiply each side by -1 :

x = - 6

What is the x and y intercepts of -3x plus 5y equals -15?

-3x + 5y = -15

At the x-intercept, y=0:

-3x = -15 . . . . . x = 5

At the y-intercept, x=0:

5y = -15 . . . . . y = -3

How many solutions are possible for 2x equals 2y plus 2 and 2y equals 2x plus 2?

There are 0, or no solutions to these equations. If you rearrange each equation to look like an equation of a line, you will have the two lines:

y = x -1 and y = x + 1, which are two parallel lines. They do not intersect at any point, so there is no solution.