3 years ago

Describe a real world situation that would show a strong negative correlation explain your reasoning

1 answer:

8 0

A strong negative correlation example would be the hours spend watching TV and your grades. It shows a strong negative correlation because if you just watch TV and not study for an exam, your grades would most likely be low.

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Prove algebraically that (m + 2)2 – m 2 – 12 is always a multiple of 4

Julli [10]

Answer:

$(m + 2)^{2} - m^{2} - 12 = 4(m - 2)$

Step-by-step explanation:

Step 1:

Write the expression

$(m+2)^{2} - m^{2} - 12$

Step 2: Expand $(m + 2)^{2}$

$(m+2)^{2} - m^{2} - 12\\(m+2)(m+2) - m^{2} - 12\\m^{2} + 2m + 2m + 4 - m^{2} - 12$

Step 3: Collect similar terms

$m^{2} - m^{2} + 4m + 4 - 12\\4m - 8$

Step 4: Factor 4 out of the expression to prove that the expression is a multiple of 4.

$Therefore\\4m - 8 = 4(m - 2)\\Hence,\\(m+2)^{2} - m^{2} - 12 is a multiply of 4 because the expression is equal to 4(m-2)$

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Add 3.2 to the quotient of 8.4 divided by 6. what does it equal?

Aleksandr [31]

Answer:

$4.6$

Step-by-step explanation:

First term is 3.2

The quotient of 8.4 divided by 6 is:

$\frac{8.4}{6}$

Add these two results together:

$3.2+\frac{8.4}{6}=3.2+1.4=4.6$

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Step-by-step explanation:

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