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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
Points: (-4, 50 and (1, -5)
Slope: -2
Equation works out as: y = -2x-3
Therefore it is C if you meant: y = -2x-3
What is the formula for volume of a rectangle?
The formula is:
Volume = 0Flat 2-dimensional figures don't have volume. In other words, they can't hold water.A figure is 2-dimensional if it can be drawn on paper.
A rectangle has area ... the amount of space it covers on paper or on the ground.
The formula for the area of a rectangle is
Area = (Length) x (Width)It is a set of three expressions , two variable and one constant.
There are no operations defined for them, not any symbols of equality or inequality.
if a right circular cone intersects a plane that goes through both nappes of the cone, but not through the vertex, the resulting curve will be a hyperbola
(7x - 4)(x + 1 ) making x = either 4/7 or -1
Check: (7 x 16/49) + 12/7 = 16/7 + 12/7 = 4 ok
7 + (-3) = 4 ok...and there you have it.
Greatest Common Factor: 6
Biggest number going into both terms
6, left bracket, 3, x, plus, 2, right bracket
6(3x+2)
No. There are two zeroes in each multiplier so there will be 2 + 2 ie 4 zeroes in the product.
1000000 has six zeroes so is the product of 1000 and 1000
What is the value of x in 4x plus 15?
You can't answer this question without setting that expression equal to something. Right now, your equation reads 4x+15=?, essentially created a system of two variables with only one equation, which is unsolvable.
(x^2 - x - 12) = (x^2 - 4x + 3x -12) = x(x -4) + 3(x -4) = (x-3) x (x-4)
Hence (x^2 - x - 12) divided by (x -4) is (x-3)
What slope is 7x plus 5y equals 35?
-7/5
For equations in Standard Form (Ax + By = C), slope equals -A/B. Or you could put the equation in Slope-Intercept form (y = mx + b) by solving for y and then finding the slope (m).
Nothing is more than infinity, nothing is longer than infinity. It is infinite, definitely.
Nothing is more than infinity. Infinity will just go on forever!
Whenever multiplying a fraction by an integer (in this case, the 100), my students are told to put the integer over a 1 so that they will see whether the numerator or denominator gets multiplied by the integer. (After getting used to it, the 1 becomes unnecessary.) Here is what they would do: 4/30 x 100/1 Multiply straight across, numerator by numerator and denominator by denominator (the 4 times the 100 and the 30 times the 1). You get 400 on top and 30 on the bottom. 400/30 Then you reduce the fraction by dividing BOTH the top and the bottom by the SAME number that will go into each of them. In this case, they can both be divided by 10. You get 40/3. Since another number can't go into BOTH of them at the same time, it is reduced.
37 - 2 X 4 + 3
Remember for numerical operations, do multiplication/division BEFORE addition/substraction.
Hence
37 - 8 + 3 = 32 The Answer!!!!
NOT 37 - 2 = 35 X 4 + 3 = 140+ 3 = 143 (Note the different answer.
Calculators are programmed to doby the first method.
What will be the gender if X and Y combine?
In the genetic system.
XX is the female and XY is the male.
There are four ways this can combine
X"X' & XY as
X"X Female
X'X Female
X"Y Male
X'Y Male
The are dashes on the 'X's' for clarity of combination.
This results in an equal number of females and males being born.
2x + 3 = 9x is a fairly simple linear equation (i.e., when graphed, it will be a straight line).
First, you want to isolate the x term on one side of the equation. To do this, you must take 2x and subtract it from both sides. Here is the result:
7x = 3.
Now, you want to completely isolate x itself, without any coefficient (in this case 7). Because 7 is being multiplied to x, you must divide 7 from both sides. Keep in mind that whenever solving an equation, whatever you do to change it must be done to both sides. Here is the result:
x = 3/7.
If you wish, you may use a calculator to divide 3 by 7, or you can just leave it as a fraction.
How do you solve -3x plus y equals 7 and 5x plus 2y equals 3?
A system of equations? Try elimination.
- 2(-3X + Y = 7)
5X + 2Y = 3
6X - 2Y = - 14
5X + 2Y = 3
--------------------------add
11X = - 11
X = - 1
------------Put back in equation to solve for Y
- 3(-1) + Y = 7
3 + Y = 7
Y = 4
-------------check both equations
- 3(-1) + 4 = 7
3 + 4 = 7
top checks
5(-1) + 2(4) = 3
- 5 + 8 = 3
both equations check and the system is consistent
