Use the grouping method to factor this polynomial. <br><br> x^3+2x^2+7x+14

Alisiya [41]

The solution for x is equal to x = (4 · y) / (r + 6).

<h3>How to find an explicit solution of an algebraic equation</h3>

In this problem we have an equation formed by three variables (r, x, y) and a constant and we are asked to clear x as a function of r and y. Now we present the entire procedure:

(r · x + 6 · x) / y = 4 Given

(r · x + 6 · x) = 4 · y Defintion of division / Associative property / Compatibility with multiplication / Existence of multiplicative inverse / Modulative property

x · (r + 6) = 4 · y Distributive property

x = (4 · y) / (r + 6) Compatibility with multiplication / Associative property / Existence of multiplicative inverse / Modulative property / Definition of division / Result

The solution for x is equal to x = (4 · y) / (r + 6).

To learn more on equations: brainly.com/question/10413253

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3 0

1 year ago

You send a text to a friend. Your friend forwards it to 10 other friends, who each forward it to 10 more friends. The pattern co

elena-14-01-66 [18.8K]

Answer:

a. The number of people that receive the text in the fourth round are 10³ people

b. The total number of people that receive the text are 1.1111 × 10⁴ people

Step-by-step explanation:

a. The given information are;

The number of people the text is sent to in the first round = 1

In the second round, the number of people the text is sent to by people in the first round = 10

In the third round, the number people the text is sent to by the 10 people in the second round = 10 × 10 = 100 people = 10² people

In the fourth round, the number of people the text is sent to by the people in the third round = 100 × 10 = 1000 people = 10³ people

The number of people that receive the text in the fourth round = 10³ people

b. In the fifth round, the number of people, the people in the fourth round send the text to = 1000 × 10 = 10000 people = 10⁴ people

The total number of people that receive the text = 1 + 10 + 10² + 10³ + 10⁴ people = 11111 people = 1.1111 × 10⁴ people

5 0

4 years ago

Please Help me solve this (Who ever answers correctly will get brainlest)

alexdok [17]

Answer:

First ones right

Second one wrong

Third one wrong

Fourth one right

Fifth one right

Step-by-step explanation:

I'm pretty sure this is right lol

6 0

2 years ago

In 2008, there were 507 children in Arizona out of 32,601 who were diagnosed with Autism Spectrum Disorder (ASD) ("Autism and de

Naily [24]

Answer:

$z=\frac{0.0156-0.0114}{\sqrt{0.01554(1-0.01554)(\frac{1}{32601}+\frac{1}{88})}}=0.318$

$p_v =P(Z>0.318)=0.375$

So the p value is a very high value and using the significance level provided $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the proportion of children diagnosed with Autism Spectrum Disorder (ASD) in arizona is not significantly higher than the national incident rate at 1% of significance.

Step-by-step explanation:

Data given and notation

$X_{1}=507$ represent the number of children diagnosed with Autism Spectrum Disorder (ASD) in Arizona

$n_{1}=32601$ sample elected from arizona

$\hat p_{1}=\frac{507}{32601} =0.0156$ represent the proportion of children diagnosed with Autism Spectrum Disorder (ASD) in arizona

$p_{2}=\frac{1}{88}= 0.0114$ represent the proportion of children diagnosed with Autism Spectrum Disorder (ASD) in the nation

z would represent the statistic (variable of interest)

$p_v$ represent the value for the test (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if that the incident of ASD is more in Arizona than nationally, the system of hypothesis are:

Null hypothesis: $p_{1} \leq p_{2}$

Alternative hypothesis: $p_{1} > p_{2}$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{507+1}{32601 +88}=0.01554$

Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.0156-0.0114}{\sqrt{0.01554(1-0.01554)(\frac{1}{32601}+\frac{1}{88})}}=0.318$

Statistical decision

The significance level provided is $\alpha=0.01$ , and we can calculate the p value for this test.

Since is a one right sided test the p value would be:

$p_v =P(Z>0.318)=0.375$

So the p value is a very high value and using the significance level provided $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the proportion of children diagnosed with Autism Spectrum Disorder (ASD) in arizona is not significantly higher than the national incident rate at 1% of significance.

5 0

3 years ago

Can someone help me with this pls, is super important

Alex17521 [72]

X = 50 degrees
y = 50 degrees

Explanation:

x + 130 = 180 (Angles between parallel lines)
x = 50

y = x = 50 (Corresponding angles)

7 0

3 years ago

Use the grouping method to factor this polynomial. x^3+2x^2+7x+14