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scoray [572]
3 years ago
9

Algebraic fractions x² + 5x+4 / x²+ 4x + 3

Mathematics
1 answer:
Tresset [83]3 years ago
8 0

Answer:

\frac{x+4}{x+3}

Step-by-step explanation:

Given

\frac{x^2+5x + 4}{x^2+4x+3} ← factor numerator and denominator

= \frac{(x+1)(x+4)}{(x+1)(x+3)} ← cancel common factor (x + 1) on numerator/ denominator

= \frac{x+4}{x+3}

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Reasoning Solve the given equation and check your answer. Use pencil and paper. Is it possible to solve the equation using​ mult
Montano1993 [528]

The value of x after solution of the equation 8x = -16 is -2 and it is not possible to solve this equation using multiplication.

According to the question,

We have the following equation:

8x = -16

Now, this equation can not be solved using multiplication because 8 is already in multiplication with x on the left hand side. If 8 would have been in division then it could be solved using multiplication.

So, dividing by 8 on both the sides:

x = -16/8

x = -2

Hence, the value of x after solution of the equation 8x = -16 is -2 and it is not possible to solve this equation using multiplication.

To know more about equation here

brainly.com/question/14686792

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4 0
1 year ago
3x^3+ x-11. dividied by x+1<br><br> This is dividing polynomials please help me
Brut [27]

Answer/Step-by-step explanation:

I did the work on paper:

3 0
2 years ago
At a large Midwestern university, a simple random sample of 100 entering freshmen in 1993 found that 20 of the sampled freshmen
guajiro [1.7K]

Answer:

The 90% confidence interval for the difference of proportions is (0.01775,0.18225).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

p1 -> 1993

20 out of 100, so:

p_1 = \frac{20}{100} = 0.2

s_1 = \sqrt{\frac{0.2*0.8}{100}} = 0.04

p2 -> 1997

10 out of 100, so:

p_2 = \frac{10}{100} = 0.1

s_2 = \sqrt{\frac{0.1*0.9}{100}} = 0.03

Distribution of p1 – p2:

p = p_1 - p_2 = 0.2 - 0.1 = 0.1

s = \sqrt{s_1^2+s_2^2} = \sqrt{0.04^2 + 0.03^2} = 0.05

Confidence interval:

p \pm zs

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.  

The lower bound of the interval is:

p - zs = 0.1 - 1.645*0.05 = 0.01775&#10;

The upper bound of the interval is:

p + zs = 0.1 + 1.645*0.05 = 0.18225&#10;

The 90% confidence interval for the difference of proportions is (0.01775,0.18225).

6 0
3 years ago
In △ABC, a=31, b=22, and c=18. Identify m∠A rounded to the nearest degree. HELP ME PLEASE!!
4vir4ik [10]

Answer:

The measure of angle A is 101\°

Step-by-step explanation:

we know that

Applying the law of cosines

a^{2} =b^{2}+c^{2}-2(b)(c)cos(A)

substitute the values and solve for cos(A)

31^{2} =22^{2}+18^{2}-2(22)(18)cos(A)

cos(A)=[22^{2}+18^{2}-31^{2}]/(2(22)(18))\\ \\cos(A)=-0.193182\\ \\A=arccos(-0.193182)=101\°

3 0
3 years ago
QUESTION 1
Alexeev081 [22]

Answer:

1. 9

2. 10

Step-by-step explanation:

idk if those first 2 are right

6 0
3 years ago
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