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Alekssandra [29.7K]
3 years ago
15

Q(x)=4x2-3x3+8x is it a cubic trinomial​

Mathematics
1 answer:
Norma-Jean [14]3 years ago
7 0

Answer:

Yes

Answer:    x = 0

Step-by-step explanation:

Yes it is.

Down is the answer how to solve this equation and the steps.

Step  1  :

Equation at the end of step  1  :

 qx -  (((4 • (x2)) -  3x3) +  8x)  = 0  

Step  2  :

Equation at the end of step  2  :

 qx -  ((22x2 -  3x3) +  8x)  = 0  

Step  3  :

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  qx + 3x3 - 4x2 - 8x  =  

 x • (q + 3x2 - 4x - 8)  

Equation at the end of step  4  :

 x • (q + 3x2 - 4x - 8)  = 0  

Step  5  :

Theory - Roots of a product :

5.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

5.2      Solve  :    x = 0  

 Solution is  x = 0

Solving a Single Variable Equation :

5.3     Solve   q+3x2-4x-8  = 0

In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.

Answer:  x = 0

Hope this helps.

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1) Rolling a die
Sample Space = {1,2,3,4,5,6}
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Number of Favorable outcomes = 3

Probability of getting an odd number = 3/6 

2) Tossing a coin
Sample Space = {H, T}
Probability of getting a head= 1/2

The probability of getting odd number and head will be the product of two probabilities, which will be = 3/6 x 1/2 = 3/12 

Thus there is 3/12 = 1/4 (0.25 or 25%) probability of getting an odd number and a head in given scenario. 

So correct answer is option C

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A shopkeeper allows 10% discount on the marked price of a bicycle. If a costomer pays Rs 4068 with 13% VAT find the marked price
Over [174]

\large{ \tt{❁ \: S \: O \: L \: U \: T \: I \: O \: N \: ❁}}

  • We're provided - Discount % = 10 % , Cost with VAT [ SP with VAT ] = Rs 4068 & VAT % = 13%. We're asked to find out the marked price of the bicycle. Let's start :

\large{ \tt{❇ \: FIND \: SP \: WITHOUT \: VAT \: / \: SP\: ❇}}

\large{ \tt{❃ \: SP  \: with \: VAT= SP + VAT\% \: of \: SP}}

\large{ \tt{⇢ \: 4068 = SP + 13\% \: of \: SP}}

\large{ \tt{⇢ \: 4068 = SP +  \frac{13}{100}  \: sp}}

\large{ \tt{⇢ \: 4068 =  \frac{100 \:  \: SP + 13 \: SP}{100} }}

\large{ \tt{⇢ \: 4068 =  \frac{113 \: SP}{100} }}

\large{ \tt{⇢ \: 113 \: SP = 406800}}

\large{ \tt{⇢ \: SP =  \frac{406800}{113} }}

\large{ \tt{⇢ \: SP = 3600}}

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\large{ \tt{✽ \: NOW , \: FIND \: THE \: MP \:✽ }}

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\large {\tt{❃ \: SP = MP - dis\% \: of \: MP}}

\large{ \tt{⇾ \: 3600 = x - 10\% \: of \: x}}

\large{ \tt{⇾ \: 3600 = x -  \frac{10}{100} } \: x}

\large{ \tt{⇾ \: 3600 =  \frac{100x - 10x}{100} }}

\large{ \tt{⇾ \: 3600 =  \frac{90x}{100} }}

\large{ \tt{⇾ \: 90x = 360000}}

\large{ \tt{⇾ \: x =  \frac{360000}{90} }}

\large{ \tt{⇾ \: x = Rs \: 4000}}

\large{ \boxed{ \boxed{ \tt{☂ \: OUR \: FINAL \: ANSWER :  \boxed {\tt {\: Rs \: 4000}}}}}}

  • Hope I helped! Let me know if you have any questions regarding my answer and don't hesitate to reach out to me if you need any assistance! :)
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Arliss has two pieces of carpet runner. One is yards long and the other is yards long. She needs 10 yards of carpet runner altog
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10 yards required
5 2/3 yards on hand.

We need to subtract the yards on hand from the total yards required.

First, we need to convert the mixed fraction into an improper fraction.

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Second, we need to multiply 10 by a fraction that will give us the denominator of 3.

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30/3 - 17/3 = (30-17)/3 = 13/3

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13/3 = 4 1/3

Arliss needs to buy 4 1/3 yards more to complete the required yard length. 

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