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lana [24]
3 years ago
9

Hello I need help with concavity of graphs. I have included a picture of the 4 problems I would love to be checked to see if the

y are correct. My main questions are: what do you do when there's more than 2 concave up/down? And how do you write it if one of the points is open such as in letter A

Mathematics
1 answer:
Otrada [13]3 years ago
3 0

You would use the union symbol which is a U to glue the intervals together.

For instance, with problem 1 having two concave down intervals. You would write (-8,-4) U (0,4). Note that I'm using parenthesis only and no square brackets at all. The endpoints aren't included as they are open holes. We also don't include any point of inflection (POI). Your other answers are correct. Nice work.

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A coin is tossed and a number cube is rolled. What is the probability that the coin shows heads and the number cube shows 5? a.
Inessa [10]

Answer:

1/12

Step-by-step explanation:

P( coin = heads) = number of heads / total = 1/2

P( cube = 5) = number of 5's / total =1/6

P( heads, 5) =1/2 * 1/6 = 1/12

8 0
3 years ago
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Describe a process you would use to create the perpendicular bisector to a segment AB using only an unmarked straightedge and an
Murrr4er [49]

You'll have to c<span>ompass tip on A and draw a small ark with pencil approximately in the middle above AB line, now compass tip to point B and cross the ark you made previously.
Do the same on the opposite side without making any change to the compass 
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8 0
3 years ago
Answer the following 4 questions CORRECTLY I will know if this is wrong. I WILL REPORT ANY INCORRECT ANSWERS!
Shkiper50 [21]

1. A) 5 (It would be B. because it does equal 4.09 but it has to be 5 because it is the greatest integer in all of them)

2. D) 10 (Just like 1. it would be B. also BUT 10 is the greatest integer you can have out of all of them)

3. A) 6 (Just like the other 2 problems at the top^ it would be C. if not for the fact it has a higher number.)

4. A) A value we can put in place of a variable (such as x) that makes the equation true.

8 0
3 years ago
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Write Algebraically: Thirty less than negative fifteen times a number is greater than 54 more than negative three times a number
Yuri [45]

Answer

-15x - 30 > -3x + 54

Explanation

Let's break this sentence down.

Thirty less than means [whatever goes before] minus 30.

Negative fifteen is -15.

Times a number means multiplying by a number. The number will be a variable. And in this case, the variable will be x.

Is greater than means more than.

Negative three is -3.

Times a number means multiplying by a number (in case you forgot or get confused, I wrote it again). That number will be a variable; x. This is the same number.

Now let's write down the equation.

Let's break both sides of the inequality, meaning the left side of 'greater than' and the right side.

The left side says this; "thirty less than negative fifteen times a number."

So let's write this.

So thirty less is minus 30. You are subtracting from "negative fifteen times a number."

Negative fifteen is -15... times a number is -15x.

So the left side of the inequality is -15x - 30.

The right side says this; "54 more than negative three times a number."

54 more than means adding 54 meaning + 54.

And you are adding 54 to "negative three times a number."

Negative three is -3, times a number is -3x.

So the right side of the inequality is -3x + 54.

So the full inequality is -15x - 30 > -3x + 54.

6 0
3 years ago
This net can be folded to make a square pyramid. what is the surface area of the pyramid
givi [52]

Answer:  

85in^2

Step-by-step explanation:

to find the surface area we need to find the followng areas:  

  • area of the square  
  • area of a triangle and multiply it by 4 (because there are 4 triangles)

And once we have those areas, we add them to find the surface area.

Area of the square:

the formula to find the area of a square is:

a_{square}=l^2

where l is the length of the side: l=5in

thus the area of the square is:

a_{square}=(5in)^2

a_{square}=25in^2

Area of the triangles:

the are of 1 triangle is given by

a_{triangle} =\frac{b*h}{2}

where b is the base of the triangle: b=5in (the base of the triangle is the side of the square)

and h is the height of the triangle: h=6in

thus, the area of 1 triangle is:

a_{triangle} =\frac{(5in)*(6in)}{2}

a_{triangle} =\frac{30in^2}{2}

a_{triangle} =15in^2

the area of the 4 triangles is (we multiply by 4):

a_{4-triangles}=4(15in^2)

a_{4-triangles}=60in^2

finally we add the area of the square and the area of the 4 triangles to find the total surface area:

Surface=25in^2+60in^2

Surface=85in^2

8 0
2 years ago
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