geno3141

There are a few factoring forms worth knowing, three of which are:

--- Difference of squares:  A² - B²  =  (A + B)(A - B)

--- Difference of cubes:     A³ - B³  =  (A - B)(A² + AB + B²)

--- Sum of cubes:             A³ + B³  =  (A + B)(A² - AB + B²)

In  x^6 - y^6,  first use difference of squares:

  =  (x³)² - (y³)²  to get:  (x³ + y³)(x³ - y³)    

Now use both sum of cubes and difference of cubes:

  =  [ (x - y)(x² + xy + y²) ][ (x + y)(x² - xy + y²) ]

  =  (x - y)(x + y)(x² + xy + y²)(x² - xy + y²)

Since it is a division problem, multiply by the reciprocal:

Factored:  [ (2x - 3)(2x + 3) ] / (2x + 5) · [ (2x + 5)(2x - 5) ] / [ (2x - 3)(2x - 3) ]

Numerator:      (2x - 3)(2x + 3)(2x + 5)(2x - 5)

Denominator:  (2x + 5)(2x - 3)(2x - 3)

Cancel:                 [ (2x + 3)(2x - 5) ] / (2x - 3) 

Nothing will cancel; is there a division sign between them?

(8x + 7)(4x - 6)                     Use FOIL:

= 8x·4x  +  8x·-6  +  7·4x  +  7·-6

= 32x² - 48x + 28x - 42

= 32x² - 20x - 42

If this is to be one payment after 6 years using simple interest, use the simple interest formula:  I = Prt

I = interest          P = principal (amount borrowed)         r = rate (as a decimal)        t = time

--->     I  =  (9000)(.0495)(6)  =  $2673.00

So, the amount owed is $9000.00 +  $2673.00  =  $11,673.00

If you want a monthly payment amount, you will need to repost and ask for that ...

(r^8t^6 - 7)^2  =  (r^8t^6 - 7)(r^8t^6 - 7)

Use FOIL:      r^8t^6·r^8t^6  -  7·r^8t^6  -  7·r^8t^6  +  49

             =     r^16t^12 - 14r^8t^6 + 49

What is the question?

ln(0.1) = -2.30258...

If  a = 6  and  b = 9, then  b - a  =  9 - 6  =  3  (positive)

If  a = 6  and  b = 3, then  b - a  =  3 - 6  =  -3  (negative).

Thus, the statement is not true for all possibilities.

Check by using the Pythagorean Theorem:     c²  =  a² + b²

C is the largest value:  c  =  12.3     Therefore,  a  =  6.2     and     b  =  8.1  

        (or a  =  8.1  and  b  =  6.2;  it doesn't make any difference)

Check this:  does  12.3²  =  6.2² + 8.1² ?

12.3²  =  151.29

6.2² + 8.1²  =  38.44 + 65.61  =  104.05

Since these values aren't equal, it is not a right triangle.

The tenth is the first number to the right of the decimal point (the 0).

So, the answer will be either      1.0     or     1.1

If the digit after the 0 is 4 or smaller, round down  -->  choose 1.0

If the digit after the 0 is 5 or more, round up  -->  choose 1.1

Since it is a 3, round down, and choose 1.0 for your answer.