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qaws [65]
3 years ago
12

Evaluate y (x+x) +3, where x =1 and y=3

Mathematics
1 answer:
evablogger [386]3 years ago
6 0
The answer is 9 if you plug them in
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The number of salmon swimming upstream to spawn is approximated by the following function:
umka2103 [35]

Answer:

The water temperature that produces the maximum number of salmon swimming upstream is approximately 12.305 degrees Celsius.

Step-by-step explanation:

Let S(x) = -x^{3}+2\cdot x^{2}+405\cdot x +4965, for 6 \leq x \leq 20. x represents the temperature of the water, measured in degrees Celsius, and S is the number of salmon swimming upstream to spawn, dimensionless.

We compute the first and second derivatives of the function:

S'(x) = -3\cdot x^{2}+4\cdot x +405 (Eq. 1)

S''(x) = -6\cdot x +4 (Eq. 2)

Then we equalize (Eq. 1) to zero and solve for x:

-3\cdot x^{2}+4\cdot x +405 = 0

And all roots are found by Quadratic Formula:

x_{1} \approx 12.305\,^{\circ}C, x_{2}\approx -10.971\,^{\circ}C

Only the first root is inside the given interval of the function. Hence, the correct answer is:

x \approx 12.305\,^{\circ}C

Now we evaluate the second derivative at given result. That is:

S''(12.305) = -6\cdot (12.305)+4

S''(12.305) = -69.83

According to the Second Derivative Test, a negative value means that critical value leads to a maximum. In consequence, the water temperature that produces the maximum number of salmon swimming upstream is approximately 12.305 degrees Celsius.

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3 years ago
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Which irrational number is closest to the number 5?
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Answer:

I believe it is right by looking at this picture, but I am not certain

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In Will’s garden, 71 out of 200 plants have developed seeds. Which is closest to the percent of his plants that have developed s
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Maybe D or C umm mmh
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Mr. Stanton bought 121 feet of rope to repair a rope bridge. The ratio of the two pieces that he needs from the length he bought
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