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ch4aika [34]
2 years ago
9

Graph the equation. y=2x^2-8x+3y=2x 2 −8x+3

Mathematics
1 answer:
Gwar [14]2 years ago
8 0

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The equation can be rewritten to vertex form, so you can tell the vertex is at (2, -5). The leading coefficient of 2 means the points will be twice as far apart vertically than they would be if the leading coefficient were 1. A couple of points are shown in the attached.

  y = 2(x^2 -4x) +3

  y = 2(x^2 -4x +4) +3 -8 . . . . . . complete the square

  y = 2(x -2)^2 -5 . . . . . . . . . . . . finish putting in vertex form

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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
Two-fifths equals how many thirds
kifflom [539]
Let the number of thirds be x.

(2/5) = x(1/3)

2/5 = x/3

x/3 = 2/5

x = 2/5 * 3

x = 6/5

x = 1.2

Two-fifths equals 1.2 thirds
8 0
3 years ago
If a fair die is rolled 6 times, what is the probability, to the nearest thousandth, of
earnstyle [38]

Answer: 0.000

Step-by-step explanation:

6 0
2 years ago
Write an equation for the line that passes through (1, 4) and (0, 8)
inn [45]
The way i did that in middle school was plot the points then find the slpoe and work it out from there
3 0
3 years ago
Read 2 more answers
Which distance measures 7 units?
Rasek [7]

Answer:

the distance between points M and P

Step-by-step explanation:

-1+7=6

Hope this helps! :)

4 0
2 years ago
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