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Vaselesa [24]
3 years ago
6

The diagram represents 6x2 – 7x + 2 with a factor of 2x – 1. A 2-column table with 2 rows. First column is labeled 2 x with entr

ies 6 x squared, negative 4 x. Second column is labeled negative 1 with entries negative 3 x, 2. Both rows are labeled with a question mark. What is the other factor of 6x2 – 7x + 2? 3x – 2 3x – 1 3x + 1 3x + 2
Mathematics
2 answers:
sukhopar [10]3 years ago
8 0

Answer:

(  3x -2)

Step-by-step explanation:

6x^2 – 7x + 2

We know that the constant only has factors of 1 and 2

Since the middle term is negative we know that that we are subtracting

A negative times a negative is positive for the final term

A negative plus a negative is negative for the middle term

(   -1 ) (   -2)

We have to determine how to break up 6x^2

1x * 6x

2x*3x

3x*2x

6x*1x

We are given that one factor is 2x-1

(  2x -1 ) (   -2)

That means the other factor of 6x^2 is 3x  ( 2x*3x)

(  2x -1 ) (  3x -2)

finlep [7]3 years ago
5 0

Answer:

3x-2

Step-by-step explanation:

  • 6x² – 7x + 2= 6x² -3x- 4x + 2= 3x(2x-1)- 2(2x-1)= (2x-1)(3x-2)

Factors are:

  • 2x-1 and 3x-2

--------------

  • 3x – 2 correct
  • 3x – 1  incorrect
  • 3x + 1  incorrect
  • 3x + 2 incorrect
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grin007 [14]

Answer: The Inverse variation

Step-by-step explanation:

The phrase “ y varies inversely as x” or “ y is inversely proportional to x” means that as x gets bigger, y gets smaller, or vice versa. This concept is translated in two ways. yx = k for some constant k, called the constant of proportionality.

3 0
2 years ago
A building is 3 ft from an 8​-ft fence that surrounds the property. A worker wants to wash a window in the building 13 ft from t
zloy xaker [14]

Answer:

Length of the ladder used by worker = 17 feet

Step-by-step explanation:

Given:

Height of the window from the ground = 13 ft

Distance of fence from the building = 3 ft

Distance of ladder from the building = (3+8) = 11 ft

We have to find the length of the ladder.

Let the length of the ladder be 'x'

From the diagram we can also say that 'x' is the hypotenuse of the right angled triangle.

Using Pythagoras formula:

⇒ hypotenuse\ 'x' =\sqrt{(perpendicular)^2+(base)^2}

Here base length = 11 ft

Perpendicular = 13 ft

Plugging the values:

⇒ x=\sqrt{(13)^2+(11)^2}

⇒  x=\sqrt{(169+121)}

⇒ x= \sqrt{290}

⇒ x=17.02 feet

The length of the ladder = 17 feet to its nearest tenth.

6 0
3 years ago
What formula do you use to find the circumference of a circle given the diameter of the circle ?
notsponge [240]

Answer:

pi x diameter

Step-by-step explanation:

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3 0
3 years ago
Whats (12-7) x (8-5) - 7 and (16-4) + (10 - 12 divided by 3)
zalisa [80]

Answer:

The answer would be 26

Step-by-step explanation: (Broken down into 2 parts)

-PART ONE- solving (12-7) x (8-5) -7

(12-7) x (8-5) -7 (do whats in parentheses first)

(5)x (3) -7 (multiply 5x3)

15-7 (subtract)

ANSWER- 8

-PART TWO- solving (16-4) + (10 - 12 divided by 3)

(16-4) + (10 - 12 divided by 3) (do what is in parentheses)

12 + 10-4 (add)

22-4 (subtract)

ANSWER- 18

Now combine the two answers 18+8 and you get 26

Therefore, 26 is the final answer.

Hope this helps!!

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3 years ago
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Anuta_ua [19.1K]
Slope= 10
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