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shtirl [24]
3 years ago
11

What is 2.4 in rational form

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
6 0
The answer would be 12/5. That's in fraction form. 
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Simplify (4x^2+2)÷(2x^2-9x-5)​
frosja888 [35]

Answer:

4.1     Pull out like factors :

   4x2 + 2  =   2 • (2x2 + 1) 

Polynomial Roots Calculator :

 4.2    Find roots (zeroes) of :       F(x) = 2x2 + 1

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  2  and the Trailing Constant is  1.

 The factor(s) are:

of the Leading Coefficient :  1,2

 of the Trailing Constant :  1

 Let us test ....

  P  Q  P/Q  F(P/Q)   Divisor     -1     1      -1.00      3.00        -1     2      -0.50      1.50        1     1      1.00      3.00        1     2      0.50      1.50   

Polynomial Roots Calculator found no rational roots

Trying to factor by splitting the middle term

 4.3     Factoring  2x2 - 9x - 5 

The first term is,  2x2  its coefficient is  2 .

The middle term is,  -9x  its coefficient is  -9 .

The last term, "the constant", is  -5 

Step-1 : Multiply the coefficient of the first term by the constant   2 • -5 = -10 

Step-2 : Find two factors of  -10  whose sum equals the coefficient of the middle term, which is   -9 .

     -10   +   1   =   -9   That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -10  and  1 

                     2x2 - 10x + 1x - 5

Step-4 : Add up the first 2 terms, pulling out like factors :

                    2x • (x-5)

              Add up the last 2 terms, pulling out common factors :

                     1 • (x-5)

Step-5 : Add up the four terms of step 4 :

                    (2x+1)  •  (x-5)

             Which is the desired factorization

Final result :

2 • (2x2 + 1) —————————————————— (x - 5) • (2x + 1)

5 0
2 years ago
A 180-watt iHome® is used on an average of three hours a day. Find the cost of listening to the iHome for one week at a cost of
IgorLugansk [536]
<h2>Hello!</h2>

The answer is:

The correct option is:

A. $0.49

<h2>Why?</h2>

From the statement, we know that the iHome is used on average three hours a day, and we are asked to find the cost for a week, so first, we need to calculate the total hours that the iHome is used for, and then, calculate the kilowatt-hour consumption rate.

TotalTime_{week}=3\frac{hours}{day} *7days=21hours

TotalEnergyConsumption_{week}=180watt*21hours=3780watt.hour

Now, we must remember that:

1Kilowatt=1000watts

So,

3780watts=3780watts.hour*\frac{1KiloWatt}{1000watts}=3.78KiloWatt.hour

Then, calculating the cost, we have:

TotalCost_{week}=0.13\frac{dollar}{killowat.hour}*3.78killowat.hour=0.49(dollar)

Hence, we have that the correct option is:

A. $0.49

Have a nice day!

7 0
3 years ago
Help me out plz................................
12345 [234]
I think it is A but make sure with someone else
7 0
2 years ago
Read 2 more answers
Nicole has the cards shown below. All cards are the same size and shape. She put the cards into a bag. Nicole will pull one card
IgorC [24]
D because 2/3 of the cards are odd and 64 is 2/3 of 94
6 0
1 year ago
Read 2 more answers
S. ATV that usually sells for $176.52 is on sale for 30% off. If sales tax on the TV is 5% we
Grace [21]

Answer:

a

Step-by-step explanation:

7 0
3 years ago
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