Factor. m2 + 12m+36

Mathematics

2 answers:

Art [367]3 years ago

8 0

<h3>Answer: Choice A which is (m+6)^2</h3>

Explanation:

Think of two numbers that multiply to 36 and add to 12. Those two numbers are 6 and 6

6+6 = 12

6*6 = 36

So we can factor it into (m+6)(m+6). Use the FOIL rule to expand it out to get m^2+12m+36 back again.

The expression (m+6)(m+6) is the same as (m+6)^2

asambeis [7]3 years ago

7 0

Answer:

$(m-6)^{2}$

<em>Plug into the calculator. </em>

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So

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But choose Positive because T > 75. Temp of turkey can't go under.

$T(t) = 75 + 110e^{(1/30)\ln(15/22)t} \\
T(45) = 75 + 110e^{(1/30)\ln(15/22)(45)} = 136.929 \approx 137{}^{\circ}F$

(b)

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100 = 75 + 110(15/22)^{t/30} \\
25 = 110(15/22)^{t/30} 
\frac{25}{110} = (15/22)^{t/30} \\
\ln(25/110) / ln(15/22) = t/30 \\
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