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2 years ago

I need help with this question

Mathematics

1 answer:

Delvig [45]2 years ago

4 0

Answer:

Go download CameraMath on playstore that how

I is get my answer

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The function f(x) varies directly with x and f(x)=12 when x=8

malfutka [58]

F(x) = kx
12 = 8k
k = 12/8 = 3/2

Required equation is f(x) = 3/2 x

4 0

3 years ago

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.

5 0

3 years ago

The Adventures of Huckleberry Finn, written by Mark Twain, has an ISBN of 978-014243717a, where a is the check number. What is t

Simora [160]

Answer: D. 9

Step-by-step explanation:

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3 years ago

The degree of a polynomial is

scoundrel [369]

The degree of a polynomial is the highest degree of its terms when the polynomial is expressed in its canonical form consisting of a linear combination of monomials.The degree of a term is the sum of the exponents of the variables that appear in it.

5 0

3 years ago

14+(-13)−16

kompoz [17]

The second and third ones are the true ones

8 0

2 years ago