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Here's a pretty good tutorial that takes you from A to Z.....!!!!

http://www.purplemath.com/modules/strtlneq.htm

y = -1/3(0) + 6

Simplify

y = 6

There's your answer! :)

Mathematical induction is a mathematical proof technique, most commonly used to establish a given statement for all natural numbers, although it can be used to prove statements about any well-ordered set. It is a form of direct proof, and it is done in two steps. The first step, known as the base case, is to prove the given statement for the first natural number. The second step, known as the inductive step, is to prove that the given statement for any one natural number implies the given statement for the next natural number. From these two steps, mathematical induction is the rule from which we infer that the given statement is established for all natural numbers.

I'll show ya how to do the FIRST one:3(x-5.2) + 7.8 = 14

3x -15.6 + 7.8 = 14        ADD 15.6 and SUBTRACT 7.8 from both sides

3x = 14 +15.6-7.8

3x = 21.8    Divide both sides by 3

x = 21.8 /3  = 7.2667

Now YOU try the Second one !

Use the distributive property as the first step in solving these equations:

3(x - 5.2) + 7.8  =  14

3(x) - 3(5.2) + 7.8  =  14

3x - 15.6 + 7.8  =  14         Now, combine -15.6 and +7.8:

3x  - 7.8  =  14                   Now, add 7.8 to both sides:

3x  =  21.8                         Now, divide both sides by 3:

x  =  7.26666...

The answer is 14.

Thanks Geno, 

I did not know that!!     I shall try and remember. 

So when we prove by induction then we are proving based on what has come before.  Mmm 

It beats me why this is titled "geometry"

A factorial is a way to write a certain type of multiplication problem. Its symbol is an exclamation point '!'.

It starts with two definitions:

0!  =  1

1!  =  1

And then it continues with this style of multiplication

2!  = 2 x 1  =  2

3!  =  3 x 2 x 1  =  6

4!  =  4 x 3 x 2 x 1  =  24

5!  =  5 x 4 x 3 x 2 x 1  =  120

etc.

You can solve this using an equation.

Two pages in a book are consecutive integers, call the small page number n.

Then the next page number is n + 1.

(n)(n + 1)  =  272

n² + n  =  272

n² + n - 272  =  0

(n + 17)(n - 16)  =  0

So:  n = -17  or  n = 16.  Toss out the negative answer.

So,  n = 16  and  n + 1 = 17.

I just realised, you answered your own question.   LOL

I think Alexis made a bit of a slip there.

A negative number divided (or multiplied) with a paositive number is ALWAYS a negative number.

Just remember that when you multiply or divide,  if the SIGNS are DIFFERENT the the answer is NEGATIVE,

Just remember that when you multiply or divide,  if the SIGNS are THE SAME the the answer is POSITIVE

What do you mean by "the normal"?

This is inductive because you are using the knowledge of the past to predict the future.

Induction allows for the possibility that your prediction can be wrong; what happened in the past doesn't always predict the future.

To have deduction, you must already have a rule that always works.

Because you are guessing the rule, you are using induction.

An example:

Induction:  Guess the next number in this sequence:  1, 2, 4, ___.

Deduction: The rule is double the last number to get the next number in this sequence:  1, 2, 4, ___

<For the induction example, you might guess the next number is 7 because going from 1 to 2, you add 1, going from 2 to 4, you add 2, going from 4 to the next number, you add 3, etc. For the deduction example, the only possible correct anser is 8.

So, for induction, you might have more than one 'right' answer because you might be able to create more than one rule, while, for deduction, there is only one right answer, because there is only one rule.>

Hello Shelby,

The gradient and y intercept form of a line is      y=mx+b

where m is the gradient and b is the  y intercept.

Perhaps you would like to ask a more specific questrion?

You would just divode it but  it would allways equal a negative unless it is a negative and negative

Just divide the cost by the number of people.

It is "deductive"!!!!!. Because you deduce from your statement that the number of black-footed ferrets has steadily increased each year in the past and will continue that trend into the future barring unforseen circustances.

The answer is 3117920. And yes use a calculater next time.

A 15-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground 9 feet from the base of the building.How high up the wall does the ladder reach?

Will use Pythagoras Theorem:

15^2=9^2 + H^2

H=225 - 81=144 take the sqrt of both sides

H=12 Feet-the height of the ladder up the wall.

You should get 1/sqrt(2)=0.7071067..........etc.

The two pages are: 16 X 17=272

A rectangular table is six times as long as it is wide.If the area is 150 ft^2, Find the leght and the width of the table.

Let the width=W, then

6W=Length, but we have:

W X 6W=150

6W^2=150 divide both sides by 6

W^2=25 take the sqrt of both sides

W=5 feet-the width

L=5 X 6=30 feet-the length

what is the limit of (1-x) tan(pi*x/2) as x approaches infinity

Looking at the graph I would say it was undefined.

(But then I am hopeless at limits)