Calculus

To find the x-intercept, set y equal to zero (because that is where the line crosses the x-axis) and solve for x:

y = 2x + 1

0 = 2x + 1

-2x = 1

x = -1/2

To find the y-intercept, set x equal to zero and solve for y:

y = 2x + 1

y = 2*0 + 1

y = 1

The graph of this equation is a straight line that extends infinitely in both directions, therefore there is no "middle point."

x^2 + 3x = 7

There is no integer value that can answer this question x=1 yields the inequality 5= 7 and x=2 yields the inequality 10 = 7.

This can be rewritten as x^2 + 3x - 7 = 0.

Using the quadratic equation and substitution we get

X -3 + (3^2 -4*1*(-7))^(1/2)

x= -----------------------------------

X 2*1

x=(-3 +/- (9-28)^(1/2))/2

X -3 +/- (-19)^(1/2)

x=-----------------------

X 2

Since we are taking the square root of a negative number we change the sign and put a -i in front.

X -3 +/- -i(~4.35)

x= ---------------------

X 2

X -3 -/+ 4.35i

x=---------------

X 2

x can be either -1.5 - 2.175i or -1.5 + 2.175i

25

4

7000 + 4, 7004

x = 50

Yes.

-2x+5=13

you subtract 5 away from +5 and this cancels out.

you then do the same to the other side by taking 5 away from 13 therefor you get 8.

Now you have -2x=8, take -2x and divide it into 8 and you get 4.

3x + 8 = -5

Subtract 8 from both sides: 3x = -5 - 8 = -13

Divide both sides by 3: x = -13/3

A wheel 2 feet in diameter turning 10000 revolutions per hour is going, at the rim, 17.45 feet per second, or 25.6 miles per hour.

-x^2 - 11x - 30

If you intended -1(x squared), making a quadratic equation, the solutions are -1 and +6.

12

There are linear functions and there are quadratic functions but I am not aware of a linear quadratic function. It probably comes from the people who worked on the circular square.

only one.

look at the problem.

x = 8

x has to equal 8.

hope i helped! :)

2PI

The length of an arc, of radius L (which is the length of the pendulum) and angle Φ is LΦ cm.

So L*0.9 = 18 ie L = 20 cm

My answer would be 10(x - 3)^2 where the "^2" means that 2 is an exponent printed

as a superscript, above the line.

The English phrase is ambiguous unless you agree to some convention about the way that

"square" is applied you can not tell what is to be squared. Is it the 3 , is the quantity

(x-8) or the whole thing, 10(x-8) to be squared.

In the first case , the answer would be 10(x-3^2)

The second case is my answer above

The third case would be (10(x-3))^2 .

3.02875107 × 1014

15y2 + 45y - 9 = 4y - 5y2; thus,

20y2 + 41y - 9 = (5y - 1)(4y + 9) = 0.

Therefore, the solution to the equation given is,

y = 1/5 or -2¼.

For various reasons. Read an introductory calculus book; they are usually full of examples that have practical applications.

One common use of differentiation (derivation) is to find the maximum or minimum of some function. A maximum or minimum can occur (a) at the endpoints of the interval under consideration, (b) at a point where the derivative is zero, (c) at a point where the derivative is not defined. This, obviously, requires differentiation.

Integration can be used to find areas and volumes, or, more generally, the area under a curve that might not necessarily represent an area in the geometric sense. For example, work = force x distance - but what happens if the force changes while you move? This "variable product" is equivalent to finding an area under a curve.

sin2X = sin2X

What is it about ' equation ' you do you not understand. Of course they are equal!

There are 24C4 = 24*23*22*21/(4*3*2*1) = 10,626 of them, and I do not have the time to list them all.

10-y=2y+3

10-3=2y+y

7=3y

7/3=y

Take the limit of the top and the limit of the bottom.

The limit as x approaches cos(2*90°) is cos(180°), which is -1.

Now, take the limit as x approaches 90° of tan(3x). You might need a graph of tan(x) to see the limit. The limit as x approaches tan(3*90°) = the limit as x approaches tan(270°). This limit does not exist, so we'll need to take the limit from each side. The limit from the left is ∞, and the limit from the right is -∞.

Putting the top and bottom limits back together results in the limit from the left as x approaches 90° of cos(2x)/tan(3x) being -1/∞, and the limit from the right being -1/-∞. -1 divided by a infinitely large number is 0, so the limit from the left is 0. -1 divided by an infinitely large negative number is also zero, so the limit from the right is also 0.

Since the limits from the left and right match and are both 0, the limit as x approaches 90° of cos(2x)/tan(3x) is 0.

12.3