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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 is the solution of the system y equals x plus 5?
The 'solution' is a pair of numbers ... one for 'x' and another for 'y' ... that make the
statement true when you stick the numbers in place of 'x' and 'y'.
There are an infinite number of pairs that work. In fact, almost any pair of numbers
works ... just as long as the 'y' number is 5 more than the 'x' number.
What is the common point of these equations 2x plus 3y equals 12m and x - 3y equals -3?
It is [4m-1, (4m-2)/3]
How do you use measurement at home?
You use volume measurement to measure water and other liquids such as cooking or pouring a cup of water.
You measure the house temperature with a thermometer.
You measure weight (or mass) with a scale to weigh yourself or your food.
You measure velocity (and acceleration) while driving.
You measure distance, length or size with a ruler, or a meter stick or any other measurement tool.
What are the steps for 5 times x plus 5 equals 20?
5x+5 = 20
Subtract 5 from both sides:
5x = 15
Divide both sides by 5 to find the value of x:
x = 3
7x plus 3y equals fourteen and 5x plus 9y equals ten What is the value of x and y?
7x + 3y = 14
5x + 9y = 10
__________ (subtract bottom from top)
2x -6y = 4, therefore 2x = 4 + 6y, therefore x = 2 + 3y
Insert x = 2 + 3y into the original equation and calculate
7(2 + 3y) +3y = 14
14 + 21y +3y = 14
24y = 0
y = 0
If y= 0, then x = 2 FINAL ANSWER!
What is the formula for finding the area of a circle when you know the diameter?
D=Diameter, pi=3.14159...
Area of circle = (D/2)2 * pi
Explain and show how you would estimate 0.5 x 4.26?
o.25
* * * * *
The question is so simple that you can do the exact answer rather than estimate.
Multiplication by 0.5 is the same as division by 2. So the question is, effectively: 4.26/2
4/2 = 2
decimal point
2/2 = 1
6/2 = 3
So the exact answer is 2.13
Solve the system 5x plus 2y equals 1?
To solve for two unknowns (x and y) it is necessary to have two independent equations.
What line would be perperndicular to y equals negative 5x plus 4?
Please note that there are infinitely many solutions. The slopes of two perpendicular lines have a product of minus 1. The line is in slope-intercept form, so it is easy to read off the slope: -5. The line perpendicular to it must have a slope of -1 / -5, or 1/5. In other words, the equation of the perpendicular line is y = (1/5)x + c; you can replace c with any number you want.
True.
5 plus x equals 2x-3 whats the answer to that question?
Why do we have this nagging feeling that the questioner isn't completely
sure of what the question is ?
We shall now take the given equation and find the numerical value
that 'x' must have in order to make the equation a true statement:
5 + x = 2x - 3
Add 3 to each side: ---> 8 + x = 2x
Subtract x from each side: ---> 8 = x
(x+6)(X+20)
