1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kati45 [8]
2 years ago
10

(6y + 3) minus (3y + 6) when y=7

Mathematics
2 answers:
Yuliya22 [10]2 years ago
8 0

Answer:

72 I think, I don't rly know use a calculator lol

never [62]2 years ago
4 0

Answer:

y

Step-by-step explanation:

((((2•3y3) -  22y2) -  3y) -  —) -  2

                               y    

STEP

4

:

Rewriting the whole as an Equivalent Fraction

4.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  y  as the denominator :

                      6y3 - 4y2 - 3y     (6y3 - 4y2 - 3y) • y

    6y3 - 4y2 - 3y =  ——————————————  =  ————————————————————

                            1                     y          

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

STEP

5

:

Pulling out like terms

5.1     Pull out like factors :

  6y3 - 4y2 - 3y  =   y • (6y2 - 4y - 3)

Trying to factor by splitting the middle term

5.2     Factoring  6y2 - 4y - 3

The first term is,  6y2  its coefficient is  6 .

The middle term is,  -4y  its coefficient is  -4 .

The last term, "the constant", is  -3

Step-1 : Multiply the coefficient of the first term by the constant   6 • -3 = -18

Step-2 : Find two factors of  -18  whose sum equals the coefficient of the middle term, which is   -4 .

     -18    +    1    =    -17

     -9    +    2    =    -7

     -6    +    3    =    -3

     -3    +    6    =    3

     -2    +    9    =    7

     -1    +    18    =    17

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Adding fractions that have a common denominator :

5.3       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

y • (6y2-4y-3) • y - (6)     6y4 - 4y3 - 3y2 - 6

————————————————————————  =  ———————————————————

           y                          y        

Equation at the end of step

5

:

 (6y4 - 4y3 - 3y2 - 6)    

 ————————————————————— -  2

           y              

STEP

6

:

Rewriting the whole as an Equivalent Fraction :

6.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  y  as the denominator :

        2     2 • y

   2 =  —  =  —————

        1       y  

Checking for a perfect cube :

6.2    6y4 - 4y3 - 3y2 - 6  is not a perfect cube

Trying to factor by pulling out :

6.3      Factoring:  6y4 - 4y3 - 3y2 - 6

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -3y2 - 6

Group 2:  6y4 - 4y3

Pull out from each group separately :

Group 1:   (y2 + 2) • (-3)

Group 2:   (3y - 2) • (2y3)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

6.4    Find roots (zeroes) of :       F(y) = 6y4 - 4y3 - 3y2 - 6

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

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  y  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  6  and the Trailing Constant is  -6.

The factor(s) are:

of the Leading Coefficient :  1,2 ,3 ,6

of the Trailing Constant :  1 ,2 ,3 ,6

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        1.00    

     -1       2        -0.50        -5.88    

     -1       3        -0.33        -6.11    

     -1       6        -0.17        -6.06    

     -2       1        -2.00        110.00    

Note - For tidiness, printing of 13 checks which found no root was suppressed

Polynomial Roots Calculator found no rational roots

Adding fractions that have a common denominator :

6.5       Adding up the two equivalent fractions

(6y4-4y3-3y2-6) - (2 • y)      6y4 - 4y3 - 3y2 - 2y - 6

—————————————————————————  =  ————————————————————————

            y                            y            

Polynomial Roots Calculator :

6.6    Find roots (zeroes) of :       F(y) = 6y4 - 4y3 - 3y2 - 2y - 6

    See theory in step 6.4

In this case, the Leading Coefficient is  6  and the Trailing Constant is  -6.

The factor(s) are:

of the Leading Coefficient :  1,2 ,3 ,6

of the Trailing Constant :  1 ,2 ,3 ,6

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        3.00    

     -1       2        -0.50        -4.88    

     -1       3        -0.33        -5.44    

     -1       6        -0.17        -5.73    

     -2       1        -2.00        114.00    

Note - For tidiness, printing of 13 checks which found no root was suppressed

Polynomial Roots Calculator found no rational roots

Final result :

 6y4 - 4y3 - 3y2 - 2y - 6

 ————————————————————————

            y            

You might be interested in
HELP ME PLEASE
Darina [25.2K]
X equals 90 because 360 /2=
7 0
3 years ago
Which of the following linear equations has the steepest slope?
Romashka [77]
The answer is B. y=5x-2
6 0
3 years ago
Number of people who own a Nintendo Switch in different cities listed below. Round your ratio as a decimal to 5 places. Round th
spin [16.1K]

Answer:

See below

Step-by-step explanation:

See numbers as table below and as attachment

<u>Calculation used to get numbers</u>:

  • Ratio = owners/population,  round to 5 decimal places
  • Owners per 100 = ratio*100,  round to 1 decimal place

==============================================================

City               Owners     Population          Ratio         Owners per 100

<u>Indianapolis 6,246      900,000           0.00694 0.7 </u>

<u>New York 911,216      18,600,000   0.04899 4.9 </u>

<u>Cairo        10,598      19,100,000   0.00055 0.1 </u>

<u>Beijing         959,611      21,200,000   0.04526 4.5 </u>

<u>Tokyo        1,700,510      26,500,000   0.06417         6.4 </u>

==============================================================

3 0
3 years ago
How do you find the volume of a trapezoid
Naya [18.7K]
If the prism length is L, trapezoid base width B, trapezoid top width A, and trapezoid height H, then the volume of the prism is given by the four-variable formula: V(L, B, A, H) = LH(A + B)/2.

" In other words, multiply together the length, height, and average of A and B."
7 0
3 years ago
Read 2 more answers
67 3/4 as an improper fraction
JulsSmile [24]
67\frac{3}{4}

Multiply the denominator to the whole number. 4*67=268. Now add the numberator. 268 + 3 is 271. Your answer is \frac{271}{4}
4 0
3 years ago
Other questions:
  • Write the polynomial in standard form. identify the degree and leading coefficient of the polynomial. then classify the polynomi
    7·1 answer
  • Albert borrowed $12,000 at a
    14·1 answer
  • Find the sum of first 20 to terms of an ap in which d is equal to 7 and 20 second term is 149​
    9·2 answers
  • Find the Laplace transform
    13·1 answer
  • Find the radius of a circle with a circumference of 35<img src="https://tex.z-dn.net/?f=%5Cpi" id="TexFormula1" title="\pi" alt=
    14·1 answer
  • A 450-square-foot apartment in New York City costs $540,000. What is the price per square foot?
    15·1 answer
  • HELP DUE IN 10 MINS!
    9·1 answer
  • What value of x makes the equation -4x – (-3 − 5x) = -3(2x − 8) true?
    15·1 answer
  • Find the next three terms in the sequence.
    11·2 answers
  • Write <br> 3<br> _<br> 6<br> in lowest terms.
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!