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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
Expressed as a proper fraction in its simplest form, 4/52 = 16/25 or sixteen twenty-fifths.
Expressed as a decimal, this is equal to 0.64.
y=5x+3 is the equation of a line. The equation is in what is called slope intercept form.
The line hits the y axis at the point (0,3). From there you can go up 5 and to the right 1 to find another point. Or you can go down 5 and to the left 1.
No matter how you do it, you end up with a line with 5 intercept 5 and a positive slope.
The positive slope means it goes up from left to right.
Now you may ask what are the solutions to the equation? I understand the graph is a line, but I want to know which x and y "works."
Every point on the line is a solution. There is an infinite number of them since the line goes forever in both directions.
Finding them is not hard. You can pick any x you want and plug it in to the equation.
Say you pick x=1, then you have y=5(1)+3=8 so y is 8.
Many people make what is called a T table. They put values of x on the left and y values on the right.
Can you Show 1 over sinx cosx - cosx over sinx equals tanx?
From the Pythagorean identity, sin2x = 1-cos2x.
LHS = 1/(sinx cosx) - cosx/sinx
LHS = 1/(sinx cosx) - (cosx/sinx)(cosx/cosx)
LHS = 1/(sinx cosx) - cos2x/(sinx cosx)
LHS = (1- cos2x)/(sinx cosx)
LHS = sin2x /(sinx cosx) [from Pythagorean identity]
LHS = sin2x /(sinx cosx)
LHS = sinx/cosx
LHS = tanx [by definition]
RHS = tanx
LHS = RHS and so the identity is proven.
Q.E.D.
Which value for x makes this sentence true x -2 equals 4x plus 46?
x - 2 = 4x + 46
-2 = 3x + 46
-48 = 3x
x = -48/3 or -16
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What are the proper divisors of 24 and the sum of these divisors?
1, 2, 3, 4, 6, 8, 12, 24 (sum = 60)
What are the solutions to -x squared plus 2x plus 4 and x-2?
These are two expressions, not equations. Expressions do not have solutions, only equations do.
NB equations include the equals sign.
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".
Here there is no equation (nor inequality). All that can be seen are two expressions.
What is the range of the graph of y equals sin x?
the range is greater then -1 but less than 1
-1<r<1
What is the answer to 1y 4 3y - 5 2y?
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", "equals" etc. Also use ^ to indicate powers (eg x-squared = x^2).
8x-y equals 31and 5x plus 3y equals 23?
3(8x-y = 31)
5x+3y = 23
Multiply all terms in the top equation by 3:
24x-3y = 83
5x+3y = 23
Add both equations together in order to eliminate y:
29x = 116
Divide both sides by 29 to find the value of x:
x = 4
Substitute the value of x into the original equations to find the value of y:
Therefore: x = 4 and y = 1
