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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
Solve For x in 4 9inths times x plus 3 equals g?
(4/9) (x + 3) = G
4(x + 3) = 9G
4x + 12 = 9G
4x = 9G - 12
x = (2.25)G - 3
Does x plus 5 divided by 5 plus x equal 1?
No. In the order of operations, 5 divided by 5 comes first. Let's say x equals 2.
2 plus 5 divided by 5 plus two
2 plus 1 plus 2
3 plus 2 equals 5.
The answer is 5
What is x squared plus 80 equals 0?
It's a second degree equation in 'x' that has no real solution.
No real number in the place of 'x' can make that equation a true statement.
There are only two "imaginary" numbers that 'x' can be:
+ 4i sqrt(5)
- 4i sqrt(5)
How do you find the intercepts for the equation x2 plus y-49 equals 0?
x2 + y - 49 = 0
At the x-intercepts, y=0:
x2 - 49 = 0
(x+7)(x-7) = 0
x = -7 and x = +7
At the y-intercept, x=0:
y - 49 = 0
y = 49
Can you solve the system using elimination 3x plus 9y equals 3?
No. Solving equations in two unknowns requires two independent equations. Since you have only one equation there is no solution.
How can you decide what graph equation and function type?
Create a scatter plot. That might give some indication of the function type. Try out different function. Once you get experience it will come easier.
How do you get the variable alone in each math equation?
You need to manipulate the equation in such a way that anything that is next to the variable disappears. Here is an example. Solve the equation:2x + 5 = 17
Since you want to have the "x" alone on one side, you want to get rid of the 2, and of the 5. Let's start with the 5 (it's a bit easier that way). The opposite of adding 5 is to subtract 5, so you do exactly that:
2x + 5 - 5 = 17 -5
2x + 0 = 12
2x = 12
(Note that you don't need to write out all this detail; with a bit of practice, you can write out the last equation directly.)
Now, get rid of the "2". Since a multiplication is involved, you need to divide by 2. The result is:
2x/2 = 12
x = 6
What is the solution to this problem -2x - 2 equals 4?
-2x - 2 = 4
-2x = 4 + 2
-2x = 6
x = 6/-2
x = -3
Check:
-2(-3) - 2 = 4
6 - 2 = 4
4 = 4
What is the quotient and remainder when 8x cubed minus 24x plus 9 is divided by 2x minus 3?
4x2 + 6x - 3 (with no remainder)
How do you graph 3x plus 4y plus 4 equals 0?
3x+4y+4=0
1. Set the equation equal to y so it is in y=mx+bformat.
4y=-3x-4
y=(-3/4)x-(4/4)
y=(-3/4)x-1
2. Start at (0,-1) make a point **b/c y-intercept(b) is -1**
3. Count down 3 and right 4 make another point. **b/c slope(m) is -3/4**
Hint:remember "rise over run", numerator of slope is amount up or down
(+ is up, - is down) and denominator is amount run left or right (+ is
right, - is left)
4.Take a ruler and draw a line between 2 points.
Using a graphing calculator: enter y=(-3/4)x-1 in y= and graph
What is a sliding tessellation?
A sliding tessellation is one in which the tessera can only be moved (slid) horizontally or vertically. Reflection or rotation are not permitted.
