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Hitman42 [59]
3 years ago
10

Please help? (03.04) What are the coordinates of the vertex for f(x) = x^2 + 4x + 10?

Mathematics
1 answer:
GREYUIT [131]3 years ago
8 0

Answer:

(-2, 6)

Step-by-step explanation:

f(x) = x² + 4x + 10

f(x) = x² + 4x + 4 + 6

f(x) = (x + 2)² + 6

The vertex is at (-2, 6).

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I don’t understand this can someone help it’s a practice test please show steps.
fomenos

Using the sinusoidal function, it is found that the temperature will be below 0ºC between May and August.

<h3>What is a Sinusoidal function?</h3>
  • A sinusoidal function is a function that depends on a trigonometric function, having peaks according to the period and amplitude given by this function.

The function for the average monthly temperature, in m months after January, is given by:

T(m) = 10\cos{\left(\frac{\pi}{6}\right)m} + 5

Working with elementary angles, we have that:

m = 10, T(0) = 10\cos{0} + 5 = 15

m = 3, T(3) = 10\cos{\left(\frac{\pi}{2}\right)} + 5 = 5

m = 6, T(3) = 10\cos{\pi} + 5 = -5

m = 9, T(3) = 10\cos{\left(\frac{3\pi}{2}\right)} + 5 = 5

m = 12, T(3) = 10\cos{2\pi} + 5 = 5

From this, we have that it becomes negative after March, and positive before September, removing the middle two options.

Now, we have to test for April and May, that is, m = 4 and m = 5, hence:

m = 4, T(4) = 10\cos{\left(\frac{2\pi}{3}\right)} + 5 = 0

m = 5, T(5) = 10\cos{\left(\frac{5\pi}{6}\right)} + 5 = -3.66

Negative only in May, hence the temperature will be below 0ºC between May and August.

To learn more about sinusoidal function, you can take a look at brainly.com/question/18055768

7 0
2 years ago
(01.04 LC) Which of the following best describes the architectural style of the Islamic Golden Age? (5 points) Simple and practi
kirill115 [55]
Traditional <span>Islamic architecture during the Golden Age was </span>influenced<span> by both </span>secular<span> and religious styles</span>
5 0
3 years ago
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Kevin built a deck in his backyard. The length of the deck was x feet and the width of the deck was 3 feet longer than the lengt
Triss [41]

Answer:

4x + 6 feet

Step-by-step explanation:

The deck is the shape of a rectangle

Hence, the perimeter of a rectangle is:

P = 2L + 2W

Where

L = Length = x feet

The width of the deck was 3 feet longer than the length.

W = Width = 3 + x feet

Hence:

Perimeter = 2(x ) + 2(3 + x)

Perimeter = 2x + 6 + 2x

Perimeter = 4x + 6 feet

Hence, the expression for the Perimeter of the deck is given as:

4x + 6 feet

3 0
3 years ago
1.2345 x 10 to the -3rd power
miv72 [106K]

Answer:

12345.000

Step-by-step explanation:

4 0
3 years ago
What is the solution set of the following equation?
alex41 [277]
The solution to this problem is A.
3 0
3 years ago
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