20.09.2022

How do you factor 12y^2-6y-90

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09.07.2023, solved by verified expert
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How do you factor 12y^2-6y-90, №18010773, 20.09.2022 11:04

Step-by-step explanation:

How do you factor 12y^2-6y-90, №18010773, 20.09.2022 11:04

First, factor out the common term of 6:

How do you factor 12y^2-6y-90, №18010773, 20.09.2022 11:04

To factor How do you factor 12y^2-6y-90, №18010773, 20.09.2022 11:04:

Multiply the coefficient of How do you factor 12y^2-6y-90, №18010773, 20.09.2022 11:04 by the constant:

How do you factor 12y^2-6y-90, №18010773, 20.09.2022 11:04

Now find factors of -30 that sum to the coefficient of How do you factor 12y^2-6y-90, №18010773, 20.09.2022 11:04, i.e. -1

Factors of 30:  1, 2, 3, 5, 6, 10, 15, 30

So factors of -30 that sum of -1 are:  -6 and 5

Rewrite the middle term of How do you factor 12y^2-6y-90, №18010773, 20.09.2022 11:04 as How do you factor 12y^2-6y-90, №18010773, 20.09.2022 11:04:

How do you factor 12y^2-6y-90, №18010773, 20.09.2022 11:04

Factor each pair of terms:

How do you factor 12y^2-6y-90, №18010773, 20.09.2022 11:04

Factor out the constant term:

How do you factor 12y^2-6y-90, №18010773, 20.09.2022 11:04

Therefore, the final factorization is:

How do you factor 12y^2-6y-90, №18010773, 20.09.2022 11:04

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Faq

Mathematics
Step-by-step answer
P Answered by Specialist

6(y-3)(2y+5)

Step-by-step explanation:

12y^2-6y-90

First, factor out the common term of 6:

\implies 6(2y^2-y-15)

To factor (2y^2-y-15):

Multiply the coefficient of y^2 by the constant:

\implies 2 \times -15 = -30

Now find factors of -30 that sum to the coefficient of -y, i.e. -1

Factors of 30:  1, 2, 3, 5, 6, 10, 15, 30

So factors of -30 that sum of -1 are:  -6 and 5

Rewrite the middle term of (2y^2-y-15) as -6y + 5y:

\implies 2y^2-6y+5y-15

Factor each pair of terms:

\implies 2y(y-3)+5(y-3)

Factor out the constant term:

\implies (y-3)(2y+5)

Therefore, the final factorization is:

\implies 6(y-3)(2y+5)

Mathematics
Step-by-step answer
P Answered by PhD
Answer: 440 grams for 1.54 is the better value
Explanation:
Take the price and divide by the number of grams
1.54 / 440 =0.0035 per gram
1.26 / 340 =0.003705882 per gram
0.0035 per gram < 0.003705882 per gram
Mathematics
Step-by-step answer
P Answered by PhD

For 1 flavor there are 9 topping

Therefore, for 5 different flavors there will be 5*9 choices

No of choices= 5*9

=45 

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD
The answer is in the image 

The answer is in the image 

Mathematics
Step-by-step answer
P Answered by PhD

The solution is given in the image below

The solution is given in the image below
Mathematics
Step-by-step answer
P Answered by PhD

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

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