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Nana76 [90]
2 years ago
12

What are the solutions of the equation (2x + 3)2 + 8(2x + 3) + 11 = 0? Use u substitution and the quadratic formula to

Mathematics
2 answers:
Vesnalui [34]2 years ago
7 0

Answer:

b

Step-by-step explanation:

Assoli18 [71]2 years ago
5 0

Answer:

x=  −41 /20

Step-by-step explanation:

(2x+3)(2)+8(2x+3)+11=0

(4x+16x)+(6+24+11)=0(Combine Like Terms)

20x+41=0

20x+41=0

Step 2: Subtract 41 from both sides.

20x+41−41=0−41

20x=−41

Step 3: Divide both sides by 20.

20x /20  =  −41 /20

x= −41 /20

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Select all of the situations that represent a linear relationship between x and y.
Harrizon [31]

Answer:

Linear relationship always produces a straight line and are without exponential.

Lets check all the given options:

1. the total area, in square meters, y, of a square garden if the side length is x meters.

The area of a square is

Here, side is 'x' and area 'y' will be .

This is not linear.

2. the height, y, of a 6-foot tree that grows 0.2 feet per month for x months

The equation forms:

When x = 1

When x = 2

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When x = 3

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This is a linear relation.

3. the total cost, y, of a ski rental from a company that charges $15 plus an additional $8 per day rented for x days

The equation forms:

When x = 1

When x = 2

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This is also linear.

4. the total miles, y, traveled by a car going 62 miles per hour in x hours

The equation forms:

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Read more on Brainly.com - brainly.com/question/12747906#readmore

6 0
3 years ago
Read 2 more answers
Liz and Alana each participate in the home that jump at the track meet Liz’s high jump was 1 meter Alana’s high jump was 132 cen
brilliants [131]
1 meter is 100 centimeters, therefore Alana jumped higher by 32 centimeters.
132-100=32
7 0
3 years ago
Is this table proportional or non-proportional?
tatyana61 [14]

Answer:

in my opinon, this table is proportional

5 0
3 years ago
4.One attorney claims that more than 25% of all the lawyers in Boston advertise for their business. A sample of 200 lawyers in B
AleksAgata [21]

Answer:

z=\frac{0.315 -0.25}{\sqrt{\frac{0.25(1-0.25)}{200}}}=2.123  

p_v =P(Z>2.123)=0.0169  

The p value obtained was a very low value and using the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of lawyers had used some form of advertising for their business is significantly higher than 0.25 or 25% .  

Step-by-step explanation:

1) Data given and notation  

n=200 represent the random sample taken

X=63 represent the lawyers had used some form of advertising for their business

\hat p=\frac{63}{200}=0.315 estimated proportion of lawyers had used some form of advertising for their business

p_o=0.25 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that more than 25% of all the lawyers in Boston advertise for their business:  

Null hypothesis:p\leq 0.25  

Alternative hypothesis:p > 0.25  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

3) Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.315 -0.25}{\sqrt{\frac{0.25(1-0.25)}{200}}}=2.123  

4) Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a right tailed test the p value would be:  

p_v =P(Z>2.123)=0.0169  

The p value obtained was a very low value and using the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of lawyers had used some form of advertising for their business is significantly higher than 0.25 or 25% .  

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3 years ago
3x^3+x+2x^3-4x^2+14y-2(y+x) simplify this polynomial
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3 years ago
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