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2 years ago

A study of several cities shows a positive correlation between the number of churches and the

Mathematics

1 answer:

gtnhenbr [62]2 years ago

3 0

Answer-

A. More churches lead to more crimes.

Solution-

Properties of Correlation Coefficient,

1- A positive correlation means that if one variable gets bigger, the other variable tends to get bigger.

2- A negative correlation means that if one variable gets bigger, the other variable tends to get smaller.

Here,there is a positive correlation between the number of churches and the city’s crime rate. So as the number of churches increase, the crime rate also gets increased.

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5^(2x-1)+5^(x+1)=250 how do you solve? thank you

zepelin [54]

Answer:

x = 2

Step-by-step explanation:

Exponential Equations

Solve:

$5^{2x-1}+5^{x+1}=250$

Separate each exponential:

$5^{2x}5^{-1}+5^{x}5^{1}=250$

Operating:

$\displaystyle \frac{5^{2x}}{5}+5^{x}5=250$

Multiplying by 5:

$5^{2x}+25\cdot5^x=1250$

Rearranging:

$5^{2x}+25\cdot5^x-1250=0$

Recall that:

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$(5^{x})^2+25\cdot5^x-1250=0$

Calling

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$y^2+25y-1250=0$

Factoring:

$(y-25)(y+50)=0$

There are two possible solutions:

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Since

$y=5^{x}$

y cannot be negative, thus:

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The solution is:

x = 2

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Step-by-step explanation:

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