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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 does 4x-2x plus 4 equals x plus 10 equal?
If 4x - 2x + 4 = 10, the solution is 2x + 4 = 10 and x = 3.
What is the percent of the ratio 60 to 40?
60:40 ratio
is 3:2 ratio
for example for every 3 green apples you get 2 red
which in percentage is %75 percent green apples and %25 percent red apples
How can you tell by looking at the graph of a function that it is nonlinear?
A linear function would be represented by a straight line graph, so if it's not a straight line, it's nonlinear
What are the factors of the trinomial n plus 11n plus 30?
Assuming you mean n2 + 11n + 30, the factors are (n + 6)(n + 5).
What does the graph for y equals 3x plus 5 look like?
If we have an x-y coordinate plane, then the y-intercept is 5. That means that when x is 0, y is 5. From that intercept, go up 3 units and right 1 unit and place your second point. The line goes through these two points (0,5) and (1,8) and continues to go up 3 squares for each square to the right.
How to simplify X squared - x - 12 divided by x squared - 9 over x squared - 3x?
To simplify the equation:
(x2 - x - 12) / [(x2 - 9) / (x2 - 3x)]
first, factor the numerator:
= (x + 3)(x - 4) / [(x2 - 9) / (x2 - 3x)]
Now bring the bottom term, (x2 - 3x), up to the top (remember, a/(b/c) = ac/b):
= (x + 3)(x - 4)(x2 - 3x) / (x2 - 9)
then factor the extra "x" out of the term (x2 - 3x):
= (x + 3)(x + 4)(x - 3)x / (x2 - 9)
now note that the bottom term is a difference of squares, and factor that out:
= (x + 3)(x + 4)(x - 3)x / (x + 3)(x - 3)
now you can see that the two terms on the bottom can be factored out of the top term, giving you:
x(x + 4)
which equals:
x2 + 4x
4x plus 13 equals 93-6x what does x equals?
4x +13 = 93-6x. Adding 6x to each side gives:
10x+13 = 93. Subtracting 13 from each side gives:
10x = 80. Dividing both sides by 10 gives:
x = 8.
X to the power of Y equals 16 over X. What is y?
Sorry, not really sure, but I've got as far as 4=x to the power of y, if that helps. Sorry! :D
What is 14x squared plus 8x plus 72?
It's a quadratic trinomial expression in 'x'.
Its numerical value depends on the numerical value of 'x'.
There are an infinite number of possibilities.
A kilometer is a unit of length, not of mass. So, it is impossible for something to "weigh a kilometer".
What is the answer to -8 plus 7 multiply 6x plus 3 equals -7x-5-1?
-8 + 7(6x) + 3 = -7x - 5 - 1
-8 + 42x + 3 = -7x - 5 - 1
42x - 8 + 3 = -7x - 5 + (-1)
42x - 5 = - 7x - 6
42x + 7x - 5 + 5 = - 7x + 7x - 6 + 5
49x = -1
49x/49 = -1/49
x = -1/49
Complete the square x2 plus 8x minus 5 equals 15?
x2+8x-5 = 15
x2+8x-20 = 0
(x+4)2-20 = 0
(x+4)2-16-20 = 0
(x+4)2 = 36
x+4 = +/- 6
x = -10 or x =2
Does y vary directly with x in the equation y equals 5x?
Yes, this is an example of direct variation.
A:
This is a direct variation because both are in the numerator of a fraction and on opposite sides of the = sign. If they are both on the same side of the equals sign, then one would have to be in the numerator and the other in the denominator for them to be a direct variation.
How do you solve for x equals y plus 3?
The first, and often most important, step in solving any problem is to understand
what the question is. You're not there yet.
"x = y + 3" is an equation that describes a straight line on a graph. Every point on
the line is a solution of the equation, and there are a huge number of points on a line.
In fact, there are an infinite number of them.
Every solution is a pair of numbers ... one for 'x' and one for 'y' ... and if you put
them in place of 'x' and 'y' in the equation, you get a true statement.
You can find solutions very easily. Just pick any number for 'y', stick it in the equation
in place of 'y', and look and see what 'x' must be.
