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The result must be in the form:  y  =  mx + b

Use the distributive property on:  (-2/5)(x + 2)

                                       --->    (-2/5)(x) + (-2/5)(2)

                                       --->    (-2/5)x - 4/5

y + 1  =  (-2/5)(x + 2)

becomes:

y + 1  =  (-2/5)x - 4/5

Subtract 1 from both sides:

y  =  (-2/5)x - 4/5 - 1

y  =  (-2/5)x - 9/5

The slope is  -2/5  and the y-intercept is  -9/5.

What number times +3 will give you -6?

What number times -6 will give you +12?

What number times +12 will give you -24?

Can you now find the next number?

A got gold.

C got bronze.

D got silver.

7% = 0.07          "of"  means  "times"

you need to find the answer to:  0.07 x $6500.00

In direct variation, as one variable increases, so does the other.

For example, the more you eat, the more you weigh; the more items you buy, the more you have to pay.

First, get all the variable terms to one side; remove the smaller variable;

remove -7n by adding 7n to both sides:

1 - 7n  =  8 + 2n

1 - 7n + 7n  =  8 + 2n + 7n

1  =  8 + 9n

Remove the 8 by subtracting 8 from both sides:

1 - 8  =  8 - 8 + 9n

-7  =  9n

Divide both sides by 9:
-7/9  =  n

Since all the particles have the same charge, you must divide the charge equally;

          -56  ÷  8  =  -7

(7y³ - y² + 9)(3y² + y + 1)

Use the distributive property (an extended FOIL):

=  7y³(3y² + y + 1) - y²(3y² + y + 1) + 9(3y² + y + 1)

=  7y³(3y²) + 7y³(y) + 1(7y³)     - y²(3y²) - y²(y) - y²(1)     + 9(3y²) + 9(y) + 9(1)

=  21y^5 + 7y^4 + 7y³    - 3y^4 - y³ - y²    + 27y² + 9y + 9

=  21y^5  + 4y^4 + 6y³ + 26y² + 9y + 9

tan A = 1.643    we can use the tangent  inverse to find A

tan^-1(1.643) = about 58.7° ......This could also be a third quadrant angle, i.e., 238.7°

Simple interest formula:  I = P ·r·t

where:  P  =  Principal (amount invested)         r  =  rate (as a decimal)         t  =  time (years)

           I  =  interest earned (not the final amount; the final amount will be  P + I)

-----     the time is usually in years because the rate is usually a yearly rate     -----

Compound interest formula:        A  =  P(1 + r/n)^(n·t)

where:  P  =  Principal (beginning amount)         r  =  rate (as a decimal)          t  =  time (number of years)

            A  =  final amount (not just the interest earned)        n  =  number of compounding periods per year         

yes but please dont post questions like this

Both functions will be undefined when x = 1.

Beside this:

The denominator of g(x) is undefinded whenever x < 1. therefore, g(x) will be undefined for any x < 1.

In f(x), when both the numerator and the denominator are both negative, the quotient will be positive, therefore, f(x) will be defined. The only time that f(x) will be undefined will be when only one of the numerator/denominator group is negative. So, f(x) will be undefined only in the section -1 < x ≤ 1.

The functions are not equivalent when x ≤ -1; otherwise, they are.

please dont ask these questions if a math site not facebook

Multiply the number times the number, add the exponents of 10 together.

For example:  (3 x 10^7)  x (5 x 10^6)  =  (3 x 5) x (10^7 x 10^6)  =  15 x 10^13  = 1.5 x 10^14

When a rational number is written as a decimal, it either terminates or repeats.

Example:

     8  =  8.0

     3/2  =  1.5

    2/3  =  0.66666...

An irrational number does not have a decimal portion that either repeats or terminates.

    √2  =  1.414213562...

    Π  =  3.14159265359...

    e  =  2.718282828459...

    0.101001000100001000001000000...

There are two ways that you can get the answer:

One way:  remove the powers:

     4 x 10³ =  4000         and         2 x 10²  =  200         and            4000 x 200  =  800 000

Other way:  when you multiply two numbers that have the same base, add the exponents:

    4 x 10³ x 2 x 10²   =  4 x 2 x 10³ x 10²  =  8 x 10^5  =  800 000

    because the exponents were added (2 + 3 = 5). 

x  =  y² + 2

To get the y-term alone on one side, subtract 2 from both sides:

x - 2  =  y²

Take the square root of both sides; remember to use the  ±  sign:

± √(x - 2)  =  y

you multiply 3/2 by 18/1 which equals 54/2 which simplifies to 27/1

Since P.E. depends upon height, if it's halfways down, it's P.E. will only be one-half of what it was.

if you want the decimal its 0.23

What does the '&' mean? Are you supposed to add them together?

To change a decimal into a percent, multiply by 100.

therefore,  .25  as a percent is  .25 x 100  =  25%.

10 is also a decimal, because  10  =  10.00

So, multiply  10 x 100  =  1000%

Since you have variables on both sides (there are x's on both sides), subtract the smaller number of x's from both sides:

Since 3x is smaller than 4x, subtract 3x from both sides:

3x - 3x + 1  =  4x - 3x - 2

              1  =  x - 2

Now, add 2 to both sides:

       1 + 2  =  x - 2 + 2

             3  =  x

3x+1=4x-2      add 2 to both sides and subtract 3x from both sides

3 = x

x over 6 =37

x / 6 = 37       multiply both sides by 6

x = 222