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Alex_Xolod [135]
3 years ago
8

The price of a notebook was

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
8 0
(3.90 - 3.40) / (3.90) = 0.50 / 3.90 = 0.128 x 100 = 12.8%
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Which of the following relations are functions?
Alisiya [41]
<span>{(c,e),(c,d),(c,b)} is NOT a function since the input c has multiple outputs (e,d,b). So choice B is out

</span><span>{(b,b),(c,d),(d,c),(c,a)} is NOT a function either. The input 'c' corresponds to the output 'd' and 'a' at the same time. So choice C is out too
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Choices A and D are the answer. They are functions since any given input corresponds to exactly one output. 

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7 0
2 years ago
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7x-2y=-5which ordered pair is a solution of the equation
sashaice [31]

Answer:

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Step-by-step explanation:

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2 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:

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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
Enter the coordinates of the point on the unit circle at the given angle. 135° (-VII, VI Enter​
vekshin1
Related angle is 45 degrees, set up a triangle and use exact trig values to solve for x and y, then rationalise the denominators

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3 years ago
Which one of the following statements about the Fed is
ivann1987 [24]
A because the feed sets discounts rate and primes
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