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julia-pushkina [17]
2 years ago
15

Can someone plz help me with this

Mathematics
1 answer:
slava [35]2 years ago
8 0

Answer:

Step-by-step explanation:

2a. f(-3) = (-3)^2-4(-3)+6 = 9+12+6 = 27

2b. f(-2) = 3(-2)^2-(-2)^3 -2 +1 = 3(4) - (-8) -2 +1

= 12+8-1 = 19

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A number cube with faces labeled 1 to 6 is rolled once.
Zepler [3.9K]

Answer:

a)  A ∪ B = {2, 4, 5, 6}

b)  A ∩ B = {6}

c)  \sf B^c = {1, 3, 5}

Step-by-step explanation:

Set notation is used in math to list numbers, objects or outcomes.

It uses <u>curly brackets</u> called "braces". Objects placed within the braces are the elements of the set.

The listing method of <u>set notation</u> simply lists the numbers in the set.

The three dots "..." means it is infinite (goes on forever).

Given:

  • A number cube with faces labeled 1 to 6.

Therefore the set of all possible outcomes is {1, 2, 3, 4, 5, 6}.

<u>Event A</u>

The number rolled is <u>greater than 4</u>.

Therefore, the set of outcomes for event A is {5, 6}.

<u>Event B</u>

The number rolled is <u>even</u>.

Therefore, the set of outcomes for event B is {2, 4, 6}.

<u>Part (a)</u>
Event "A or B" means the outcomes in A or B or both.

⇒ A ∪ B = {2, 4, 5, 6}

<u>Part (b)</u>

Event "A and B" means the outcomes in both A and B.

⇒  A ∩ B = {6}

<u>Part (c)</u>

The complement of event B means everything that is not in B.

\sf \implies B^c =<em> </em>{1, 3, 5}

Learn more about set notation here:

brainly.com/question/27913822

4 0
1 year ago
Where v is the final velocity (in m/s), u is the initial velocity (in m/s), a is the acceleration (in m/s²) and s is the distanc
Anna11 [10]

Answer:

The final velocity v is 21.74 m/s.

Step-by-step explanation:

Given:

\textrm{initial velocity} = u = 9\ m/s\\\textrm{acceleration} = a = 7\ m/s^{2}\\\textrm{distance} = s = 28\ m

To find:

\textrm{final velocity} = v = ?

Solution:

As we know the third equation of motion is represented as

v^{2} = u^{2} + 2\times a\times s\\

Substituting the values u, a and s in the above equation we get

v^{2} = 9^{2} + 2\times 7\times 28\\ =81 + 392\\=473\\

v =\±\sqrt{473} \\v =\sqrt{473} \ \textrm{as acceleration is positive v is also positive}\\v = 21.74\ m/s

7 0
3 years ago
A regular octagon can generate a pure tessellation. <br><br> True or False
Luden [163]
False ..................................
3 0
3 years ago
Read 2 more answers
Can someone just take an educated guess? Its multiple-choice and I'm so lost :(
Shkiper50 [21]

Answer:

D is the right one im 100% sure on it

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Six friends will stay at a cabin in the woods this weekend. The distance to the cabin is 148.5 miles. Each person will drive one
ivolga24 [154]

Answer:

24.75/24¾

Step-by-step explanation:

148.5 ÷ 6 = 24¾ or 24.75

Answer: Each driver drove 24.75/24¾ miles

5 0
2 years ago
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