Calculus

The variables that you are plotting on the graph!

It's one of the simplest linear equations in 'x' that can be written.

Its solution is [ x = -5 ].

x=5

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A degree is a unit of measure, it is not itself a number. It may be a measure of an angle or temperature or power. A degree cannot be converted to a number

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y = x/(x - 3)

so y(x - 3) = x

xy - 3y = x

xy - x = 3y

x(y - 1) = 3y

x = 3y/(y - 1) for y ≠ 1

So, the inverse function is

f(y) = 3y/(y - 1) where y ≠ 1

Because length of the pendulum which is equal to distance between the point of suspension and g is the gravitational acceleration

and a body repeats its to and fro motion in equal interval of time that's why we cant take standard time period.

logx=12

x=10^12

x=1,000,000,000,000

4x - 12 = 4

Divide each side by 4:

x - 3 = 1

Add 3 to each side:

x = 4

x multiplied by y can simply be written as xy. You can't find the value of this expression, until you assume specific values for the variables, x and y.

x2-7x+12 = 0 (x-3)(x-4) = 0
x=3,4

√8 = 2√2 ≈ 2.828

4 + 5x = 1

5x = 1 - 4

5x = -3

x = -3/5

x = -0.6

Just simply set x equal to 0 in the original equation, and solve for y. Then set y equal to 0 in the original equation and solve for x. When you solve for x, you put that answer for the x coordinate, and a 0 for the y coordinate, and when you solve for y, you put that answer in for the y coordinate, and a 0 for the x coordinate.

Let x=0 in y=-6x+9

y=-6(0)+9

y=0+9

y=9

Now put a 9 for your y coordinate, and a 0 for your x coordinate.

(0,9).

Let y=0.

y=-6x+9

0=-6x+9

Subtract 9 on both sides.

0-9=-6x+9-9

-6x=-9

Divide by -6 on each side.

(-6x)/-6=-9/-6

x=1.5

Now put a 1.5 for your x coordinate, and a 0 for your y coordinate.

(1.5,0).

Your final answers are (0,9) and (1.5,0).

3x + 2y = 7

16

If: 3x+20 = 2x-10

Then: x = -30

There are 1000 milligrams to one pound

1 ppm is one part per million, or one millionth - percentage (which is latin for per hundred) wise, 1 ppm is .0001%

The coordinates of the points on the curve represent solutions of the equation.

8

To solve a quadratic equation (which means to find the zeros of that equation) you have two options

1. type the equation into a graphing calculator and graph the resulting equation and find where the x intercepts are (where y=0)

2. solve the quadratic equation by factoring

First, set the equation equal to zero.

x2-8x-9=0

Then find the resulting x values by "smiling"

multiply the first term and the last term (x2) (9)

find two numbers that add to -8 and multiply to -9

these two numbers are -9 and 1

x2- 9x 1x-9

x(x-9) 1(x-9)

the resulting factors are 0= (x+1)(x-9)

to find the roots, set these factors = 0

x+1=0

x=-1

x-9=0

x=9

Therefore, the solutions for the quadratic equation are x=-1 and x=9

That system of equations has no solution. When the two equations are graphed,

they turn out to be the same straight line, so there's no such thing as a single

point where the two lines intersect. There are an infinite number of points that

satisfy both equations.