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Oksi-84 [34.3K]
3 years ago
5

Rewrite the expression in factored form: x^2+12x+27

Mathematics
1 answer:
max2010maxim [7]3 years ago
4 0

Answer:

c. (x+3)(x+9)

Step-by-step explanation:

x^2+12x+27

The middle number is 12 and the last number is 27.

We need two numbers that...

Add together to get 12

Multiply together to get 27

Try 3 and 9:

3+9 = 12

3*9 = 27

Fill in the blanks in

(x+_)(x+_)

with 3 and 9 to get...

(x+3)(x+9)

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Allometric relations often can be modeled by ​f(x)= x^b​, where a and b are constants. One study showed that for a male fiddler
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Answer:

a) f(2)= 0.448 (2)^{1.21}= 1.036 grams

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Dividing both sides by 0.448 we got:

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Step-by-step explanation:

For this case we know the following function:

f(x) = 0.448 x^{1.21}

The notation is: x is the weight of the crab in​ grams, and the output​ f(x) is the weight of the claws in grams.

Part a

For this case we just need to replace x = 2 gram in the function and we got:

f(2)= 0.448 (2)^{1.21}= 1.036 grams

Part b

For this case we know tha value for f(x) =0.5 and we want to find the value of x who satisfy this condition:

0.5 = 0.448 x^{1.21}

Dividing both sides by 0.448 we got:

\frac{0.5}{0.448} = x^{1.21}

We can appy the exponent \frac{1}{1.21} in both sides of the equation and we got:

(\frac{0.5}{0.448})^{\frac{1}{1.21}} = x= 1.095grams

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