0
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
3X - 4 = 66
add 4 to each side
3X - 4 + 4 = 66 + 4
3X = 70
divide each sides integers by 3
(3/3)X = 70/3
X = 70/3
------------------check in original equation
3(70/3) - 4 = 66
210/3 - 4 = 66
70 - 4 = 66
66 = 66
---------------checks ( naturally, you could have canceled here, 3(70/3) and just got 70 )
Solve this equation for A A divides 2 equals 4?
Written algebraically, the equation is (2/A)=4.
The first step is to move the variable A from the denominator. To do this, multiply both sides of the equation by A:
A*(2/A)=4*A
The A in the denominator on the left is canceled out and we are left with:
2=4*A
To solve for A divide both sides of the equation by 4:
2/4=A
Two over four simplifies to one half, which equals A:
1/2=A
What is the answer to 45 multiplied by X equals 126 what is X?
the answer is 2.6 because:
45 x X = 126
so you bring the 45 to the other side of equals, then it becomes a divide.
X=126 divided by 45
soo..
X=2.8
8 is 40 percent of x Solve for x?
8 = .40(x)
8(10/4) = .40x(10/4)
80/4 = x
20 = x
x is 20, but you REALLY should start doing your homework and paying attention in class. Learning is important.
X over 2 plus 1 equals 2x over 5-2?
x/2+1 = 2x/5-2
x/2+1 = 2x/3
Multiply all terms by 6 to eliminate the fractions:
3x+6 = 4x
3x-4x = -6
-x = -6
Divide both sides by -1 remembering that a minus number divided into a minus is equal to a plus:
x = 6
What is the square root of pi when mulitiplied by x?
Since we don't know x, then the square root of pi when multiplied by x is simply ...
x pi 0.5
... or, depending on interpretation of the question ...
(x pi) 0.5
There are 2.54 centimeters in one inch.
19.0 inches (2.54 centimeters/1 inch)
= 48.3 centimeters
What are the solutions to x2 plus 20 -9x?
Not being an equation, it does not have a "solution" per se.
If you wish to factor it, you can do it like so:
x2 + 20 - 9x
= x2 - 5x - 4x + 20
= x(x - 5) - 4(x - 5)
= (x - 4)(x - 5)
If that expression is equal to zero, then x would be equal to 4 or 5.
How do you solve four to the x power minus two to the x plus one power all equaling 15?
So you have (4^(x-2))^(x+1)=15. Using a law of exponents (b^a)^c=b^(a*c) and 4=2^2, you get
4^((x-2)*(x+1))=15=2^(2(x-2)(x+1)).
Take log base two and use the rule about logs of products you get
2(x-2)(x+1)=Log_2(15)
Simplifying and substituting u for Log_2(15),
2x^2-2x-4=u, which means
2x^2-2x-(4+u)=0, using quadratic formula.
X=(1/4)(2(+or-)sqrt(4-4*2*(-4-u))) or
(1/2) plus or minus (1/4)(sqrt(36+8u))
Where sqrt(b) is the square root of b
If Y = y, then it is 9y4 or 9Y4. If Y is not the same as y, then you can't simplify it any.
Is point 2 3 on the line represented by the equation x - 2y equals -4?
To check whether or not that is the case, substitute the values for x and y in the equation and see if it works.
So: x - 2y = -4
becomes 2 - 2*3 = -4
or 2 - 6 = -4 which is true.
So the point is on the line.
What is 7x plus 13 equals 2x plus 3?
7x + 13 = 2x + 3 First, subtract 3 from both sides.
7x + 13 - 3 = 2x + 3 - 3
Simplify both sides.
7x + 10 = 2x
Now, subtract 2x from both sides.
7x - 2x + 10 = 2x - 2x
Simplify again.
5x + 10 = 0
Finally, subtract 10 from both sides, simplify, and divide both sides by 5.
5x + 10 - 10 = 0 - 10
5x = -10
x = -2
So the answer is x = -2.
