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3 years ago

Using the X Method to Factor a Trinomial

Mathematics

1 answer:

sashaice [31]3 years ago

5 0

Answer:

(3x+2)(2x+3)

Step-by-step explanation:

Given the trinomial: $6x^2 + 13x + 6.$

We want to use the X Method to Factor the Trinomial.

a=6, b=13, c=6

The value of ac is 6*6=36
The value of b=13

Factors of 36 are:

1,2,3,4,6,9,12,18,36

<u>Product of factors that gives 36 are:</u>

1X36
2X18
3X12
4X9
6X6

The two numbers that have a product of ac (36) and a sum of b (13) are: 4 and 9.

Therefore our trinomial becomes:

$6x^2 + 13x + 6\\=6x^2 +9x +4x+ 6\\=3x(2x+3)+2(2x+3)\\=(3x+2)(2x+3)$

Thus, $6x^2 + 13x + 6$ in factored form is (3x+2)(2x+3)

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PARTIES Louise is having a party.

just olya [345]

Answer:

32 guests

Step-by-step explanation:

96 divided by 3

3 0

2 years ago

Construct a 99% confidence interval to estimate the population proportion with a sample proportion equal to 0.36 and a sample s

vivado [14]

Using the z-distribution, the 99% confidence interval to estimate the population proportion is: (0.2364, 0.4836).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which:

$\pi$ is the sample proportion.

z is the critical value.

n is the sample size.

In this problem, we have a 99% confidence level, hence $\alpha = 0.99$ , z is the value of Z that has a p-value of $\frac{1+0.99}{2} = 0.995$ , so the critical value is z = 2.575.

The estimate and the sample size are given by:

$\pi = 0.36, n = 100$ .

Then the bounds of the interval are:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 - 2.575\sqrt{\frac{0.36(0.64)}{100}} = 0.2364$

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 + 2.575\sqrt{\frac{0.36(0.64)}{100}} = 0.4836$

The 99% confidence interval to estimate the population proportion is: (0.2364, 0.4836).

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

8 0

2 years ago

Sammy counts the number of people in one section of the school auditorium. He counts 18 female students, 16 male students, and 6

Rzqust [24]

Correct Question:

He counts 18 female students, 16 male students, and 6 teachers. There are

720 people in the auditorium. Consider the probability of selecting one person

at random from the auditorium.

Which of these statements are true?

Choose all that apply.

A: The probability of selecting a teacher is 6%.

B : The probability of selecting a student is 85%.

C : The probability of selecting a male student is 32%.

D : The probability of selecting a female student is 45%.

Step-by-step explanation:

Option B and D are correct because

The total number of people in one cross section = 18 + 16 + 6 = 40.

A = The probability of selecting a teacher is = (6/40)x100 = 15 % not equal to 6 %

B = The probability of selecting a male student is = (34/40)x100 = 85%

C = The probability of selecting a male student is = (16/40)x100 = 40 % not equal to 32 %

D : The probability of selecting a female student is = (18/40)x100= 45%

3 0

3 years ago

Please give me an answer

Reptile [31]

I am pretty sure that it is the first choice because it is the only one that is true

4 0

3 years ago

(05.01 MC)

Tatiana [17]

Answer:

Part A: We know that 3 bushels is $24, and that rate remains constant, as the graph has a straight line.

Divide both sides by 3 to get 1 bushel=$8.

We can also double check with the other values: 48/6=$8 per bushel, 72/9=$8 per bushel, and so on.

The rate of change is the slope of a line (how much one value changes when the other value does). In this equation, the equation of the line is y=8x, so the slope is 8. Therefore, the rate of change is 8.

Part B: In the previous year, each bushel of corn was 21/3, 42/6, etc., or $7 a bushel. This year, it is $8, so $8-$7=$1

Step-by-step explanation:

your welcome

8 0

2 years ago