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3 years ago

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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zubka84 [21]

Answer:

1 is 22; 2 is 19; 3 is 16; 4 is 13; 5 is 10

Step-by-step explanation:

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6 0

2 years ago

Read 2 more answers

f) The life of a power transmission tower is exponentially distributed, with mean life 25 years. If three towers, operated indep

Step2247 [10]

Answer:

15.24% probability that at least 2 will still stand after 35 years

Step-by-step explanation:

To solve this question, we need to understand the binomial distribution and the exponential distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

Probability of a single tower being standing after 35 years:

Single tower, so exponential.

Mean of 25 years, so $m = 25, \mu = \frac{1}{25} = 0.04$

We have to find $P(X > 35)$

$P(X > 35) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-0.04*35} = 0.2466$

What is the probability that at least 2 will still stand after 35 years?

Now binomial.

Each tower has a 0.2466 probability of being standing after 35 years, so $p = 0.2466$

3 towers, so $n = 3$

We have to find:

$P(X \geq 2) = P(X = 2) + P(X = 3)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 2) = C_{3,2}.(0.2466)^{2}.(0.7534)^{1} = 0.1374$

$P(X = 3) = C_{3,3}.(0.2466)^{3}.(0.7534)^{0} = 0.0150$

$P(X \geq 2) = P(X = 2) + P(X = 3) = 0.1374 + 0.0150 = 0.1524$

15.24% probability that at least 2 will still stand after 35 years

4 0

3 years ago

A triangle with an angle measuring 104° must be which of these?

Tema [17]

This will be an obtuse angled triangle because one angle is greater than 90 degrees.

8 0

3 years ago

Rewrite the equation 8x + 6x^2 -7=x^2 in standard form and identify a, b, and c.

Vladimir79 [104]

Answer:

$5x^2+8x-7=0\\a=5\\b=8\\c=-7$

Step-by-step explanation:

The standard form of a quadratic is $ax^2+bx+c=0$ . You need to subtract the x^2 from the right to set the quadratic equal to 0. Then a,b, and c are equal to the values of the coefficients in front of the terms.

If this helped, a brainliest would be greatly appreciated!

6 0

2 years ago

Plz help me i need to pass I've been trying this lesson all day and I can't figure this out

Tasya [4]

Step-by-step explanation:

step 1: given= 6*0=0

step 2: Use the distributive property

step 3: Substitute

step 4: -

step 5: Subtract 60 from both sides

step 5: simplify

7 0

2 years ago

Read 2 more answers