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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
X plus 7y equals 33 and 3x - 2y equals 7?
x + 7y = 33 (1) --> x = 33 - 7y (1a)
3x - 2y = 7 (2)
To solve the simultaneous equations, starts by substituting the value for x found in (1a) into (2):
3(33 - 7y) - 2y = 7
99 - 21y - 2y = 7
-23y = -92
y = 4
Now substitute this value for y into (1a) and solve for x:
x = 33 - 7(4)
x = 33 - 28
x = 5
Therefore these equations have the solution x = 5, y = 4
How do you prove a function is continuous on a closed set between 0 and 1?
you need to show that there are no disconituities in the line between 0 and 1.
For instance all polynomials are continuous over the whole real line, however if you get a divide by zero in a fuction at any point then you will have an assymtote at that point, and as such a disconinutity.
What are the ordered pair to equation x plus y equals 15 and equation 4x plus 3y equals 38?
x+y=15, or y=15-x
4x+3y=38
Substitute y in 2nd equation with 15-x:
4x+45-3x=38
x=-7
y=15-(-7)=22
(-7,22)
What are the solution intervals for x plus 5 plus 37?
There is no equation - only an expression. So there are no solutions (or solution intervals).
How do you determine food cost?
For all food, you got to pay for ingredients, so this is one of what you need to calculate.
Don't forget the electricity you use. Don't you pay bills for that? So this is #2.
What about your own tax? You need a "service price" don't you? This is #3.
You need to think about those. Any extras are counted.
For fruits and vegetables, you've to calculate the effort's price, like fuel, time, etc...
I hope i helped you
How do you do Y-8 divided by y plus 1 equals 1 over 3 solving for y?
(Y-8)/Y + 1 = 1/3
Multiply both sides by Y
Y - 8 + Y = 1/3Y
Combine like terms
2Y - 8 = 1/3Y
Add 8 to both sides, subtract 1/3 Y from both sides
(1 and 2/3)Y = 8
Divide by 1 and 2/3
Y = 4.8
When using substitution What is x and y for 3x plus 6y equals 48 -5x plus 6y equals 32?
3x + 6y = 48 .... Eq.1
-5x + 6y = 32 .... Eq.2 .... in another way 6y = 5x + 32
Put the value of Eq.2 in Eq. 1
3x + 5x + 32 = 48
8x = 48 - 32
8x = 16
x = 16/8 ...... X = 2
To find the value of Y put the value of X in Eq.2
6y = 5x + 32
6y = 5(2) + 32
6y = 10 + 32
6y = 42
y = 42/6 ...... Y + 7
What are the solutions for 5x2-2x plus 16 equals 4x2 plus 6x?
5x2-2x+16=4x2+6x ,or
x2-8x+16=0, or
x2-2(x)(4)+(4)2=0, or
(x-4)2=0, or
(x-4)(x-4)=0, or
x=4
Percent is out of a hundred, so 5 percent is equal to 5/100
5/100 times 60 is equal to 300/100, which is equal to 3. So five percent of sixty is three
1 centimetre = 0.032808399 feet
173 centimetres = 5.675853027 feet
What is value of x in point 06 equals 100 minus x divided by x times 6?
Depending on where your parentheses are, there are several possible answers:
- If 0.06=(100-x)/(x*6), which seems likely, then x=73.5294
- If 0.06=100-(x/x)*6, or 0.06=100-[x/(x*6)], there is no solution.
- If 0.06=(100-x)/(x)*6, then x=99.0099
He paid 75 - 5 + 3 - 3 / x + 2 (the tip) = 74,
where x = 3 (they were three friends).
Which of these are solutions to 2y - 2x equals 10?
Any pair of numbers where the 'y' is 5 more than the 'x'.
There are an infinite number of suitable pairs.
Although the question does not state, I will assume the purpose is to factor -x2 - 11x + 26
Find factors of 26: 1 and 26; 2 and 13. The goal is to use these factors to arrive at the number in the middle, 11. Which means the 1 and 26 will not work.
Because the first coefficient is negative, when you separate your equation, one x must be positive, one must be negative, as below.
ANS: (-x - 13)(x - 2)
