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Alinara [238K]
3 years ago
9

Solve through substitution

Mathematics
1 answer:
Ivanshal [37]3 years ago
5 0

For this case we have the following system of equations:

-3x + 3y = 4\\y = x + 3

Substituting the second equation into the first we have:

-3x + 3 (x + 3) = 4\\-3x + 3x + 9 = 4\\9 = 4

The equality is not fulfilled, therefore the system has no solution.

The lines do not intersect.

Answer:

The system has no solution.

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The population of a small rural town in the year 2006 was 2,459. The population can be modeled by the function below, where f(x)
Zepler [3.9K]

f(x)=2,459(0.92)^t

Using the information given above, complete the following statements. The percent change is %. The percent change represents .

f(x)=2,459(0.92)^t

Given equation is an exponential function and in the form of f(x) = a(1-r)^x

Where 'a' is the initial population

'r' is the decay rate

'x' is the time

f(x) = a(1-r)^x

Given function is f(x)=2,459(0.92)^t

1 - r = 0.92

r = 1 - 0.92

r = 0.08

r= 0.08 %

Percentage change = 0.08%

Percentage change represents the decay rate.

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3 years ago
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How many solutions does this equation have? 3y = –4 + 2y
Akimi4 [234]

Answer:

4

Step-by-step explanation:

3y - 4 + 2y

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answer to this one is b

Step-by-step explanation:

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A study finds a correlation coefficient of r = .32. This number gives you information about which of the following? Group of ans
Mrac [35]

Answer:

Strength and direction of the relationship.

Step-by-step explanation:

Given that A study finds a correlation coefficient of r = .32. This number gives you information about which of the following?

Group of answer choices Type of relationship and importance Statistical validity and external validity Statistical significance and effect size Strength and direction of the relationship.

We know that correlation coefficient represented by r is a measure of association between two variables.  r can lie between -1 and 1.  While negative correlation suggests inverse relationship positive a positive association.

0 correlation means the two variables are independent.  

If nearer to 0, it represents weak correlation and nearer to 1 than 0 represents strong correlation.

Here r =0.32 a weak positive correlation

r represents

Strength and direction of the relationship.

6 0
3 years ago
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