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Marta_Voda [28]
2 years ago
6

Which shows one way to determine the factors of 12x3 – 2x2 18x – 3 by grouping? 2x2(6x – 1) 3(6x – 1) 2x2(6x – 1) – 3(6x – 1) 6x

(2x2 – 3) – 1(2x2 – 3) 6x(2x2 3) 1(2x2 3)
Mathematics
1 answer:
KengaRu [80]2 years ago
6 0

The factor of the given expression 12x^3 - 2x² + 18x-3 is as follows (6x-1)(2x²+3).

<h3>What is a quadratic equation?</h3>

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

The given expression is

12x^3 - 2x² + 18x-3

= 2x²(6x-1) + 3(6x-1)

= (6x-1)(2x²+3)

Learn more about quadratic equations;

brainly.com/question/13197897

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Select the perfect square trinomial from among the options below!
charle [14.2K]

A ) ( x - 3 )( x + 1 ) [ not perfect ]

B ) ( x + 5 - √5 )( x + 5 + √5 ) [ n p ]

C ) ( x + 2 + 2√2 )( x + 2 - 2√2 ) [n p ]

D ) ( x - 6 )( x - 6 ) = ( x - 6 )^2 [ perfect ]

Thus the correct answer is option D .

4 0
2 years ago
Read 2 more answers
Sandy is upgrading her Internet service. Fast Internet charges $45 for installation and $49.45 per month.
butalik [34]

Answer:

x = 6 months.

The equation is given by $45 + ($49.45 × x) = ($56.95 × x).

Step-by-step explanation:

i) Let x be the number of months of Internet Service purchased till the Fast

  Internet charges and Quick Internet charges become the same.

ii) Charges for Fast Internet for x months is given by $45 + ($49.45 × x)

iii) Charges for Quick Internet for x months is given by ($56.95 × x)

iv) According to the first statement we will now equate the equations in ii)  

   and iii) and solve for x.

   Therefore, $45 + ($49.45 × x) = ($56.95 × x)

                      45 + 49.45 x  =  56.95 x

  Therefore  (56.95 - 49.45) x = 45

                    7.50 × x  =  45

  Therefore x = 45 ÷  7.5 = 6

6 0
3 years ago
Can someone help me?It's urgent and thank you!
Dafna1 [17]

Answer number 3

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
two friends have a conversation mario tells roberto "the money i have is twice that you have" roberto answer "if you give me 6 d
crimeas [40]

Answer:

Before anyone gives anyone money, Mario has 24 dollars and Roberto has 12 dollars. After they give each other money, both of them have 18 dollars.

Step-by-step explanation:

Mario has twice as much as Roberto, BUT if Mario gives Roberto 6 dollars, then they have the same amount.

M = 2R

M - 6 = R + 6

To isolate M, you need to add 6 on both sides.

M - 6 + 6 = R + 6 + 6

M = R + 12

M = 2R

Substitute M for the value above that we found.

R + 12 = 2R

Now we subtract R on both sides, so that only one side has the variable R.

R - R + 12 = 2R - R

12 = R

M = 2R

Substitute for the value of R.

M = 2 x 12

M = 24

3 0
2 years ago
For which intervals is the function decreasing?
lilavasa [31]

Answer:

The function is decreasing in the following intervals

A. (0, 1)

C. (2, pi)

Step-by-step explanation:

To answer this question, imagine that you draw lines of slope m parallel to the function shown at each point.

-If the slope of this line parallel to the function is negative for those points then the function is decreasing.

-If the slope of this line parallel to the function is positive for those points then the function is increasing.

Observe in the lines drawn in the attached image. You can see that they have slope less than zero in the following interval:

(0, 1) U (2, pi)

Therefore the correct option is:

A. (0, 1)

C. (2, pi)

5 0
3 years ago
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