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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
First, we would simplify the numbers with exponents.
53-5 x 32(53=125, 52=9)
125-5 x 9
Next, we would multiply:
125-5 x 9 (5 x 9=45)
125-45
And then, subtract:
125-45 (125-45=80)
80
53-5 x 32=80
What is the y-intercept of 8x plus 2y equals 1?
8x + 2y = 1
Rearrange in to straight line form 'y = mx + c'.
'm' is the slope/gradient of the line
'c' is the y intersept.
Hence
2y = -8x + 1
y = -4x + 1/2
So slope is '-4'. and y-intercept is '1/2'
4
3 to the power of x equals 50?
3^(x) =
3^(x) = 50
Take logs base 10 (Calculator) of both sides
log3^(x) = log50
xlog3 = log50
x = log50/ log3 (NOT log (50/3))
On the calculator
x = 1.6987.../0.47712...
x = 3.5608....
50
1.2 x 1.2 = 1.44. This can also be expressed as 1.22, or 1.2 squared.
If x equals 0 and y equals 1 what is the value of xy?
"xy" refers to the product of "x" and "y". Just substitute the variables for numbers, and do the multiplication.
What are the solutions to the simultaneous equations of 2x -3y equals 4 and 5x plus 2y equals 1?
Equations: 2x-3y = 4 and 5x+2y = 1
Multiply all terms in 1st equation by 5 and all terms in 2nd equation by 2:-
So: 10x-15y = 20 and 10x+4y = 2
Subtract the 2nd equation from the 1st equation: -19y = 18 => y = -18/19
By substitution the solutions are: x = 11/19 and y = -18/19
How do you solve for x in 16x equals 4?
Divide by 16, which gives you x=4/16
The 4/16 cancels down to 1/4.
Where on a graph is the inverse of f of x located?
To find the slope-intercept form of the given line (4x - 2y + 1 = 0), we need to solve for (y).
[4x - 2y + 1 = 0]
Subtract (4x) and add (1) to both sides:
[-2y = -4x - 1]
Divide both sides by (-2) to isolate (y):
[y = 2x + \frac{1}{2}]
Now, the equation is in the slope-intercept form (y = mx + b), where the slope (m) is (2) and the y-intercept (b) is (\frac{1}{2}). So, the slope is (2) and the y-intercept is (\frac{1}{2}).
6x - 5 + 2x = 11
6x + 2x - 5 = 11
8x - 5 = 11
Add 5 to each side:
8x = 16
Divide each side by 8:
x = 2
What is the mean of the first 100 digits of pi?
3.14159265358979323864062384626238832795028841971693939937510582097494459230781640628620898628034825342117067
These are the hundred digits of pi
When is acceleration constant?
constant acceleration is when you gain the same speed over the same time
What are some of the solutions to 3y-2x equals 14?
yes
plug it in
3y-2x=14
3(2)-2(-4)=14
6+8=14
14=14
