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
How do you answer 2x plus 6y equals 32 and 5x-2y equals 12 using subtitution?
First, change 2x+6y=32 to x+3y=16. Then solve for x, which is x=-3y+16. Then substitute -3y+16 as x into 5x-2y=12 and solve for y.
5(-3y+16)-2y=12
-15y+80-2y=12
-17y+80=12
-17y=-68
y=4
Then substitute 4 as y in either equation to solve for x.
5x-2(4)=12
5x-8=12
5x=20
x=4
The answer is x=4 and y=4, or (4,4)
2x > -6 and x - 4 < 3
x + 3 > 2x + 1 and -4x < -8
-6 < x + 3 < 6
-3x > -6 or x - 5 < 2
x - 2 > 2x + 1 or 10 > -2x + 2
can someone please help me!
You know that 15 x 16 equals 240 how can you use this to work out 16 x 16?
Simple. 15 x 16 is really saying add 16 to itself 15 times. So when you change the problem to 16 x 16, you just add another 16.
15 x 16 = 240
16 x 16 = 256
When the equation of the line is written is standard form, ie y = mx + c, then the slope is m.
Here, y = -3x + 5 so m = slope = -3
x + 98, since we don't know the value of x, is, well, just, x + 98. That is the best we can do with the information given in the question. Please restate the question.
What is five-sevenths x plus one-seventh equals 3?
(5/7)x + 1/7 = 3
Subtract 1/7 from each side
(5/7)x = 2 6/7
Combine into one mixed number on the right hand side
(5/7)x = 20/7 ---> 2 6/7 becomes 7*2 + 6
Multiply both sides by (7/5) to clear the fraction in front of x
x = (20/7) * (7/5) = 140/35 = 4
So x = 4
How do you convert fraction in to simplest form?
you need to divide it
--------------------------------
Find a number bigger than 1 that goes evenly into both the top number and the bottom number and them both by this number. Repeat this until there are no more such numbers.
For example, to simplify 6/18:
- the number 2 goes into both 6 and 18, so divide both by 2, which is 3/9;
- the number 3 goes into each of those, so divide by 3, which is 1/3;
- there is no smaller number bigger than 1 that goes into both 1 and 3, so 1/3 is in simplest form.
Another example of a fraction in simplistic form is 3/17. There is no number that goes evenly into both 3 and 17 that is bigger than 1.
Does every rational function have a vertical asymptote?
Answer:
no [but open to debate]
((x-1)(x-2)(x+2))/(x-3) (x^2-3x+2)/(x-2)(x+2) Asymptote missing, graph it, there is no Asymptote because the (x-2)(x+2) can be factored out.
yes
What is a - 6 x 5 x 9 x 1 x 5 if a equals 7?
Order of operations. Do subtraction last. 6 x 5 x 9 x 1 x 5=1350. 7-1350=-1343
What is the answer to 4x square plus 5x plus 6?
You haven't asked a question, so there's nothing there looking for an answer.
4x2 + 5x + 6 is just a number. Its value depends on the value of 'x',
and whenever 'x' changes, the value of this expression changes.
If you had told us the value of this expression, then there would have been
an 'equation' there, and we would have had to do some work to calculate
what 'x' must be.
But as it is, there's no equation and no question, so nothing to 'answer'.
How do you solve this z squared minus 12 plus 36?
z2 - 12 + 36 is the same as z2 + 24.
That's a simplification, but not a solution. There's nothing to solve,
because the question doesn't give an equation.
If z2+24 were equal to something, then we'd have an equation, and
we would be thrilled to solve it for the value of 'z'.
Graph the equation 4x-3y equals -4?
Rearrange and solve for y.
y = (4x+4)/3
The above equation is linear and can be solved by setting up a table and choosing random points for x and solving for y, or by using some sort of graphing device.
x | y
0 | 4/3
1 | 8/3
Just draw the two points and connect them. From inspection of the equation, it can be seen that it is not restricted, so it continues indefinitely in both directions.
What is the factor expression of 11w2-14w plus 3?
11w2 - 14w + 3
= 11w2 - 11w - 3w + 3
= 11w(w - 1) - 3(w - 1)
= (w - 1)(11w - 3)
What is the solution set of the equation 2x-10 plus 7 equals 5?
(2x - 10) + 7 = 5
2x - 3 = 5
2x = 8
x = 4
