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Zarrin [17]
3 years ago
7

Four times the square of a certain number increased by 6 times the number equals 108.find the number

Mathematics
2 answers:
mash [69]3 years ago
7 0
Hello there.
<span>
Four times the square of a certain number increased by 6 times the number equals 108.find the number
</span>
x = 4.5
x = -6 
slamgirl [31]3 years ago
5 0
To effectively determine the correct answer, it would be helpful to write this into an algebraic expression. We let x as the number. We do as follows:

<span>Four times the square of a certain number increased by 6 times the number equals 108.

4x^2 + 6x = 108

The numbers can be either of the following since the equation generated was a quadratic equation which has two roots.
x = 4.5
x = -6 </span>
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Step-by-step explanation:

First find out how much 20% of 580 is:

= 20% * 580

= $116

The television was therefore marked down by $116. The current selling price is:

= 580 - 116

= $464

<em>Since you came with $450, you will not be able to buy the television as you would be short of the $464 required. </em>

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What is the maximum number of relative extrema contained in the graph of this function f(x)=3x^3-x^2+4x-2
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The maximum number of turning points in a cubic function is 2.

In this case,

f(x)=3x^3-x^2+4x-2\implies f'(x)=9x^2-2x+4

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Pamela compró un trozo de carne uso 3/8 kg de ese trozo para preparar un guisado y sobraron 3/4 kg ¿cuanto pesaba originalmente
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Pamela bought a piece of meat using 3/8 of that piece to make stew and there were 3/4 kg left over how much did the piece of meat he ate originally weigh?

Step-by-step explanation:

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PLEASE HELP I WILL PICK BRAINLIEST
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Answer:

A more complex question has rarely been asked.

Principia Mathematica took nearly a thousand pages to prove that 1+1=2. It does meander a bit, but had they wanted to prove 1+1=2 alone, it could have done so in 500 pages.

Mathematically speaking, the definition of 1 is:

There exists a number such that when multiplied upon an element of a specified set, yields the element of the specified set.

It is also defined as:

1.0000000000000000000000…

.9999999999999999999999999…

as the set of all singletons.

a singleton is a set with exactly 1 element.

These 4 definitions work in tandem with one another.

For example:

1=1

Divide both sides by 3.

1/3=1/3

Rewrite.

1/3=.33333333333333333...

Multiply both sides by 3.

1=.9999999999999999999...

Similarly:

If    =.9999999999999999999...

10=9.99999999999999999...

10=9+.99999999999999...

10=9+

Simplify by subtracting x from both sides.

9=9

=1

.99999999999999999999...=1

As the set of all singletons, 1 is also THE element that represents the set of all single entities.

That is to say: if you have 7 erasers. What you really have is a set of 7 single entities. The definition of 7 becomes: 1 + 1 + 1 + 1 + 1 + 1 + 1; and not as is commonly believed as: 6 + 1.

There is an argument for 7 to be defined as 6 + 1, but this argument is a corollary of the Peano Axioms which in turn argues that there exists a set with absolutely nothing in it {} and a set with exactly something in it {x}. More on this later.

The Principia Mathematica uses Peano's (from the Peano Axioms mentioned earlier) work and notation to expertly slice through the many nuances pertaining to this question.

This is something we will not do; but hopefully, we will also be able to effectively demonstrate why 1 + 1 = 2 in less than 1000 pages.

We will assume these basic principles of number theory:

There exists a number such that when multiplied to an element of a specific set, yields that element of the specific set.

There exists a number such that when added to an element of a specific set, yields that element of the specific set.

If we again assume to have only two sets, a set that is empty: {} containing no elements, and a set that is not empty {x} containing an element. We realize that Consequently, we went from nothing {}, to something {x}. This means that {x} is the successor to {}, as the next step up from nothing, is something.

As such we now have two elements:

Nothing, {}, and something that comes after {}, this something is called the successor, and it is the Successor of nothing.

in written notation we have:

{} and { the Successor of nothing }

Rewritten:

{0, the thing that comes after 0}

Further reworded:

{0, Successor (0) }

Reduced further:

0,(0)

Where S(0) stands in place of ‘the successor’. Further, we know there are an infinite number of possible Natural numbers, and we get:

{0, Successor of 0, the successor of the successor of 0, the successor of the successor of the successor of 0,…}

Further reduced:

0,(0),((0)),(((0))),((((0)))),(((((0)))),…

Further explained:

We know that we had nothing, and added something to it, and got something:

Nothing + Something = Successor of nothing.

0+__=(0)

We also know that there is nothing closer to 0, than the thing that comes after 0.

0+(0)=(0)

This implies that S(0) is the smallest increment possible from natural number to next natural number.

As a consequence, we now have two discovered entities: Something, and Nothing.

Let’s give them names.

We have decided that

Nothing = 0 .

0 = Nothing.

S(0) is the something that comes after nothing.

We define a new symbol: 1, to be: 1 = S(0)

This is to say that 1 IS the symbol that succeeds 0;

We could have drawn any shape to define the number that succeeds 0; we chose to draw a 1.

0+(0)=(0)

0+1=(0)

0+1=1

0,1,((0)),(((0))),((((0)))),(((((0)))),…

We now have definitions for 0, and 1. What about a definition for the thing that comes after one? The successor of 1?

As we know S(0) is the smallest increment available, and we are interested in finding S(0)’s successor we investigate:

The successor to the successor of Nothing:

0+(0)=1;1+(0)=(1)

This reads:

The successor of the successor of nothing IS the successor of one

And now… we need a new symbol.

We define the

(1)=2

The successor of 1 IS 2.

Thus:

0+(0)=1;1+(0)=(1)=2

Simplify:

0+1=1;1+1=(1);(1)=2.

Further:

0+1=1;1+1=2;2=2.

1 has many different properties; but all of the properties and their resulting definitions have little to do with why 1 + 1 = 2. And that 1 + 1 = 2 is a byproduct of properties inherent to Natural numbers.

Step-by-step explanation:

6 0
2 years ago
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