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Luden [163]
3 years ago
14

Which of the following is a factor of 12 X squared minus 4X minus one

Mathematics
2 answers:
Ostrovityanka [42]3 years ago
5 0

Answer:

You can factor it as (6x+1)(2x-1)

You can also give me brainliest please.

Agata [3.3K]3 years ago
4 0

<u>Answer:</u>

The factor of 12x squared minus 4x minus one is (6x + 1) and (2x – 1)

<u>Solution:</u>

Need to determine factors 12 x squared minus 4x minus one

This means that we need to factorize following expression

12 x^{2}-4 x-1

On splitting the middle term in such a way that sum of two split terms must be -4x and product of two split terms must be -12 x^{2} we get,

12 x^{2}-6 x+2 x-1

=> 6x(2x -1) + 1 (2x - 1 )

Combining the terms we get

=> (6x + 1) (2x – 1)  

Hence factors of  12 x^{2}-4 x-1 is (6x + 1) and (2x – 1)

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The director of the library believes that 14% of the library's collection is checked out. If the director is right, what is the
Ksivusya [100]

Answer: 0.2643

Step-by-step explanation:

Let p be the population proportion and \hat{p} be the sample proportion .

As per given question , we have

p=0.14\\\\ \hat{p}=0.13\\\\ n=478

z-score : \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

z=\dfrac{0.13-0.14}{\sqrt{\dfrac{0.14(1-0.14)}{478}}}\\\\=-0.630087269176\approx-0.63

The required probability ( using z-table ):-

P(z

Hence, the probability that the proportion of books checked out in a sample of 478 books would be less than 13% = 0.2643

5 0
4 years ago
Please help me ASAP! Triangle ABC is located at A (2, 3), B (4, 4), and C (6, 3). Zackary says that triangle ABC is an isosceles
son4ous [18]
<h2>Hello!</h2>

The answer is:

The second option,

Zackery, because AB=BC

<h2>Why?</h2>

To identify which type of triangle is the triangle formed by the given points, first, we need to calculate the distance between the points.

So, finding the distances we have:

From A to B: (2,3) and (4,4)

distance=\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2}}\\\\distance=\sqrt{(4-2)^{2} +(4-3)^{2}}=\sqrt{2^{2} +1^{2} }=\sqrt{4+1}=\sqrt{5}=2.24units

From B to C: (4,4) and (6,3)

distance=\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2}}\\\\distance=\sqrt{(6-4)^{2} +(3-4)^{2}}=\sqrt{2^{2} +(-1)^{2} }=\sqrt{4+1}=\sqrt{5}=2.24units

Hence, since the distances AB and BC are equal, the triangle is an isosceles triangle, so the answer is:

Zackery, because AB=BC

Have a nice day!

7 0
3 years ago
Answer me before tomorrow
Margarita [4]

The ex- suffix often correlates a word to mean "outside", while the in- suffix often correlates a word to mean "inside". An exterior angle of a polygon would mean "an angle outside of a polygon". An interior angle of a polygon would mean "an angle inside of a polygon". Three exterior angles of this polygon would be angle B, angle D, and angle A. This is because these angles are outside of the polygon due to the extending lines from the shape. Two interior angles of this polygon would be angle 6 and angle 8 (explanation was given when I first began answering this question). Angle 9 would be exterior since it is outside of the polygon. Two exterior angles of the polygon that are congruent are angle D and angle 9, since they are both 90 degrees (right angles).

8 0
3 years ago
The score on a trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers.
guajiro [1.7K]

Answer: the player answered 30 questions correctly.

Step-by-step explanation:

Let x represent the number of questions that the player answered correctly.

Let y represent the number of questions that the player answered incorrectly.

The number of questions that the player answered is 40. It means that

x + y = 40- - - - - - - - - - -1

The score on the trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers. If the player obtained a score of 50, It means that

2x - y = 50

y = 2x - 50

Substituting y = 2x - 50 into equation 1, it becomes

x + 2x - 50 = 40

3x - 50 = 40

3x = 40 + 50 = 90

x = 90/3

x = 30

5 0
4 years ago
Use these words to fill in the blank below:
Fantom [35]

Answer:

See below.

Step-by-step explanation:

<u>Tangent</u> segments drawn to a <u>circle</u> from a <u>point</u> outside that <u>circle</u> are <u>congruent</u>.

8 0
2 years ago
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