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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

What property is required to solve x plus twelve equals twenty four?

Subtraction property

if

x+12=24

the subtraction property lets us minus 12 from both sides to get

x+12-12=24-12

the twelves on both sides cancel each other out by the way, to get

x=12, your answer

How do you solve 3x squared plus 9x plus 2 by completing the square?

3x2 + 9x + 2 is an expression; it is NOT an equation. You cannot solve an expression.

However, if you did have an equation: 3x2 + 9x + 2 = 0

Then dividing through by 3 gives: x2 + 3x + 2/3 = 0

or x2 + 3x = - 2/3

Completing the square on the left (add 9/4 to both sides) : x2 + 3x + 9/4 = 9/4 - 2/3 = 19/12

(x + 3/2)2 = 19/12

(x + 3/2) = +/- sqrt(19/12)

So x = -3/2 +/- sqrt(19/12)

What is the answer to 3x plus 5 equals 5x plus 2?

3x + 5 = 5x + 2

Subtract 3x from both sides: 5 = 2x + 2

Subtract 2 from both sides: 3 = 2x

Divide both sides by 2: 3/2 = x

How do you simplify 6y 4 plus y?

Unfortunately, limitations of the browser used by Answers.com means that we cannot see most symbols. It is therefore impossible to give a proper answer to your question. Please resubmit your question spelling out the symbols as "plus", "minus", "times", "equals".

In this case, it is not possible to see any operator between 6y and 4.

How to solve Log 2 Log 2 Log 2 X equals 0 here 2 is the base not any number?

I guess you mean log2{log2[log2(x)]} = 0 ?

Let Y = {log2[log2(x)]}, so you have log2[Y] = 0

The solution to this is Y = 1,

Then you a simpler equation: log2[log2(x)] = 1

Let Z = log2(x), so log2[Z] = 1, solves to Z = 2,

so log2(x) = 2, and x = 4

How do you solve 9y-18 equals 3y?

9y - 18 = 3y

subtract 3y from both sides

6y - 18 = 0

add 18 to both sides

6y = 18

divide by 6 on both sides

y = 3

How do you sulve x over 5 equals 3x minus 4 over 7?

x / 5 = (3x - 4) / 7

When solving equations with one rational expression on both sides, cross multiply.

5(3x - 4) = 7x

15x - 20 = 7x

8x - 20 = 0

8x = 20

x = 5 / 2

X2 plus 10x plus 25 equals 2?

x2 + 10 x + 25 = 2

(x+5)2 = 2

x+5 = +/- sqrt(2)

x = -5 +/- sqrt(2)

What is the x in 481-216-202-428-323-640-x?

Given any number, x, it is easy to find a rule based on a polynomial of order 6 such that the first six numbers are as listed in the question and the next is the given number. There are also non-polynomial solutions.

However, the simplest polynomial of order 5 is

Un = (471n5 - 7765n4 + 46980n3 - 126380n2 + 144204 - 43080)/30

would give the next number as 5340.

What is the surface area of a 4 x 4 x 1 rectangular prism?

So the bases are 2 squares [4 x 4], and faces are 4 rectangles [4 x 1].

  • 4 x 4 = 16; 2 of them are 32.
  • 4 x 1 = 4; 4 of them are 16.

Add together for 32 + 16 = 48 square units.

If y is proportional to the square of x fully explain what happens when x is doubled?

Example with numbers:

Y = X2

Y = (2)2

Y = 4

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So if Y is ( directly ) proportional to X2 when X is doubled Y is increased four times.

What is a method to solve a system of equations by substituting for the variables?

Given the two equaitons

Ax + By = C

Dx + Ey = F

The values for x and y that satisfy both equations is

x = CE -BF y = CD-AF

AE -BD , -AE+BD

A full explanation can be found here

http://math-journal.blogspot.com/p/algebra.html