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klio [65]
1 year ago
8

Determine intervals when the graph is concave up or concave down

Mathematics
1 answer:
topjm [15]1 year ago
5 0

The graph is concave has two curved part as follows;

  • The graph is concave up between;(0, 1), and (1, 0)

  • The graph is concave down between; (0, 1), and (-a, 2)

<h3>How can the direction of concavity be found?</h3>

The direction the concave part of the graph faces is given as follows;

The graph is concave up when the concave part faces up

It is concave down when the concave part faces down

From the given diagram, we have;

The graph is concave up between;

(0, 1), and (1, 0)

The graph is concave down between; (0, 1), and (-a, 2)

Where <em>a </em>is in the range; 1 < a < 2

Learn more about graphs here:brainly.com/question/17136458

#SPJ1

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The perimeter of square F is 23 meter less than the perimeter of square G.
Zigmanuir [339]

Answer: b

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3 years ago
There are eight students in a class. Only one of them has passed Exam P/1 and only one of them has passed Exam FM/2. No student
Svetach [21]

Answer: There is probability of 0.57 chances that exactly three students from a group of four students have not passed Exam P/1 or Exam FM/2.

Step-by-step explanation:

Total number of students = 8

Number of student who has passed Exam P/1 = 1

Number of student who has passed Exam FM/2 = 1

No student has passed more than one exam.

According to question, exactly three students from a randomly chose group of four students have not passed Exam P/1 or Exam FM/2.

So, Probability will be

\frac{^6C_3\times ^2C_1}{^8C_4}\\\\=\frac{20\times 2}{70}\\\\=\frac{4}{7}\\\\=0.57

Hence, there is probability of 0.57 chances that exactly three students from a group of four students have not passed Exam P/1 or Exam FM/2.

4 0
3 years ago
Help I'm not sure if this is the answer?<br><br> (This question is about trigonometric ratios)
dem82 [27]

9514 1404 393

Answer:

  (b) 15.32

Step-by-step explanation:

You can use your triangle sense to answer this.

The side x will always be shorter than the hypotenuse, 20. This eliminates the last two choices.

If the angle is 45°, then the sides are equal at about 0.707 times the length of the hypotenuse. That would make them 0.707×20 = 14.14. Since the angle is greater than 45°, the opposite side will be greater than 14.14. Only one answer choice fits between 14 and 20: the second choice -- 15.32.

__

The mnemonic SOH CAH TOA reminds you of the relation ...

  Sin = Opposite/Hypotenuse

  sin(50°) = x/20

  x = 20×sin(50°) . . . . multiply by 20 to find x

  x ≈ 15.32 . . . . . . . . . use your calculator to evaluate

__

The attachment is intended to show how the triangle side lengths change with angle.

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2 years ago
A room has the area of 60 square meters and perimeter of 32 meters .What are the length and width of the room?
ad-work [718]
I am sorry but i don't no
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3 years ago
Describe the relationship between the terms in each arithmetic sequence. Then write the next three terms in each sequence.
11111nata11111 [884]

Answer:

For the first one: they increase in  by 14, so the three could be 73,87,101

Second: Sequential, increasing by 20, next could be 110, 130, 150

Third: Increase by 27, next three could be 122,149,176

8 0
2 years ago
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