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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
Equations: 7x-8y = 9 and 11x+3y = -17
Multiply all terms in the 1st equation by 11 and all terms in the 2nd by 7
So: 77x-88y = 99 and 77x+21y = -119
Subtract the 1st equation from the 2nd equation: 109y = -218 => y = -2
Through substitution the solutions are: x = -1 and y = -2
Solving 2x plus y equals 10 and y equals x-5 subtitution?
2x+x-5 = 10
2x+x = 10+5
3x = 15
x = 5 and y = 0
What are the solutions to the equation y equals -x plus 7?
The solution set consists of the infinite number of points that lie on the straight line y = -x + 7 or x + y = 7.
Quarters struck (not "printed", btw) in Philadelphia prior to 1980 did not carry mint marks. The "rope" you describe is almost certainly some form of damage that occurred after the coin was released to circulation. Unfortunately that means it's only worth its face value.
What is x in this equation 7x plus 8 equals 5x plus 32?
7x + 8 = 5x + 32
7x = 5x + 24
2x = 24
x = 12
hope this helps
Why is process of finding a first derivative called differentiation?
When finding the first derivative, you calculate the slope of the curve at a point by determining the ratio of delta y over delta x. You make delta x and delta y smaller and smaller; in fact, you take the limit of delta y over delta x as delta x goes to zero.
At this zero limit point, delta y is called dy, and delta x is called dx. They are also called differentials, hence the term differential calculus. They represent the rate at which x and y change at various x's and y's.
Since we are working with differentials, the process of determining the slope, also known as the first derivative, is call differentiation.
It very much depends on f.
If f is one-to-one and onto (injective and surjective) then yes, else no.
One-to-one means that for each element in the domain there is a different image in the range. This is not true for g(x) = x2 for example, where -3 and +3 are both mapped to +9. So g(x) does not have an inverse UNLESS you restrict the domain of g to non-negative reals. Then -3 is no longer in the domain.
Onto means that every element in the range of the function has a corresponding element in the domain which is mapped onto it. Again, a suitable changes to the domain and range can transform a function without an inverse into an invertible one.
What is x equals 4y-2 and x equals 6y plus 8?
By definition:
4y-2 = 6y+8
4y-6y = 8+2
-2y = 10
y = -5 and by substituting this value into the equation x = -22
How do you solve the equation 5x plus 6 equals 7x - 16?
i will simplify: 5 times x times 6= 7 times x - 16
What is the slope of 8x plus 2y equals 5?
You have to get your equation into slope intercept form. Slope intercept form is y=mx+b
Now use algebra on your equation to get "y" on the left side and "x" and the numbers on the right side..
2y = 5 - 8x
y = -(8/2)x + (5/2)
y = -4x + 2.5
Now it is slope intercept form. In the previous y=mx+b equation your m=slope
Therefore in your equation m=-4 so your slope is -4/1
This means it go down four units and left one unit. This is rise over run.
