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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
0 is the identity under addition for integers, rationals, reals, complex numbers. This means that 0+x = x+0 = x for all x.
The above answer is correct, but with some mild "un0carefulness" as we call 0 the identity BEAUSE 0 + x = x + 0 = x for all x in those sets.
As a matter of fact, we want something in our sets with an operation to be the identity, we just decided to call it 0.
In other words, we DEFINE 0 as a element in a group, ring, field, or other number systems where 0 + x = x + 0 = x for all x.
By the way, if you don't like it, you can call it something else. Like @ + x = x + @ = x for all x. You just have to define it. Then you can use it on your papers :P After all, 0 without a definition is just a symbol.
6x plus 9 equals -19-8x what is the value of x?
This equation that you are asking of is a complex equation that inverse operations are needed in to solve it. First, use the inverse operation and add 8x to 6x. The 8x on the right side of the equation will cancel out. The 6x and the 8x will equal to 14x: 8x+6x+9=-19-8x+8x which now equals 14x+9= -19
Secondly, eliminate the constant terms by subtracting 9 on both sides of the equation: 14x+9-9= -19-9
Now the problem is 14x= -28
Third step - isolate the variable and divide 14 by -28. X should now equal -2.
14x/14= -28/14 which should equal x= -2
You can check and see that this is accurate by multiplying -2 to each coefficient that had x as their variable: 6(-2)+9=-19-8(-2)
-12+9= -19+16 which equals -3=-3
What are the 3 possibilities of a system of equation?
1. It can have a unique solution. On a graph this would be single point of intersection.
2. It can no no solutions such as two parallel lines on a graph.
3. It can have an infinite number of solutions such as two equations that represent the same line on a graph.
You can make up examples to see this very easily.
For number 3, take any linear equation such as y=x+1
Now multiply both sides of the equation by 10 10y=10x+10. The solution to the system of those two equations is all real numbers, an infinite solution.
Now for number 2, take any line and just find a parallel line. Easy to do by simply making sure it has the same sloe but a different y intercept.
For the last one, take two lines that intersect. This will most often be the case if you randomly pick two linear equation. Say y =x+1 and y=3x+13. Different slope and different y intercept.
What is the range of y equals -2x plus 3?
The Range is all the Real numbers you can think of.
The Domain is also all Reals.
What are the steps to this question 4x plus 11-2x plus 13 equals 32?
Given .........................................4x+11-2x+13=32
Combine like terms ....................2x+24=32
Subtract 24 from both sides ......2x=8
Divide both sides by 2 ...............x=4
An invented term that is too vague to answer when queried in this manner.
What is the next level in inverse functions?
The "next" level depends on what level you are starting from!
Is there any other anti derivative of 1 divided by x?
The antiderivative of 1/x is ln(x) + C. That is, to the natural (base-e) logarithm, you can add any constant, and still have an antiderivative. For example, ln(x) + 5. These are the only antiderivatives; there are no different functions that have the same derivatives. This is valid, in general, for all antiderivatives: if you have one antiderivative of a function, all other antiderivatives are obtained by adding a constant.
What is x cubed plus 10x squared plus 25x?
X3 + 10X2 + 25X
factor out an X
X(X2 + 10X + 25)
factor inside parentheses
X(X + 5)(X + 5)
X(X + 5)2
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X = 0
X = - 5
How do you solve radical 14x to the 4th and y to the 6th?
The answer will depend on what you mean by "and": addition or multiplication.
What is 77r plus 74r-16 factored completely?
77r + 74r - 16 = 151r - 16 and that cannot be factored further.
