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Bogdan [553]
2 years ago
12

A fair coin is flipped two times. Which diagram shows all of the possible outcomes?

Mathematics
1 answer:
kirza4 [7]2 years ago
6 0

Answer:

A

Step-by-step explanation:

It is the only one that has both heads and tails equally on all options, instead of heads heads or tails tails. There aren't any fair coins that are like that

hope this helps :)

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Find two positive consecutive odd integers such that the square of the large integer is one less than twice the square of the sm
andre [41]

Step-by-step explanation:

x, x+2 are the two positive consecutive of integers (x + 2, because the minimum distance between 2 odd numbers is always 2, as there can never be 2 odd numbers directly following each other; and neither can even numbers, by the way).

(x+2)² = 2×x² - 1

x² + 4x + 4 = 2x² - 1

0 = x² - 4x - 5

we can solve this by factoring.

that means we need to find a and b so that

(x - a)(x - b) = x² - 4x - 5 = 0

and x = a and x = b are the 2 solutions of the quadratic equation.

x² - ax - bx + ab = x² - 4x - 5 = 0

x² - (a+b)x + ab = x² - 4x - 5 = 0

a+b = 4

ab = -5

that means that either a or b has to be 5 and the other -1.

so, the result is

(x - 5)(x + 1) = 0

x = 5

or

x = -1

are the possible solutions.

since we are only looking for positive integers, x = -1 is not a valid solution.

and only x = 5 remains as valid solution.

therefore, the 2 positive consecutive odd integers are

5, 7

4 0
2 years ago
Y-1/4x=-1 <br> y-2=4x <br> one solution, no solution or infinite solution?
alexandr1967 [171]

Answer:

One solution

Step-by-step explanation:

To start, let's simplify the equations to slope-intercept form

y - 1/4x = =1

  +1/4x     +1/4x

y           = 1/4x - 1

y - 2 = 4x

  +2          +2

y       = 4x + 2

As you can see, the equations do not have anything in common worth mentioning. The slopes are different and the y-intercepts are different, so there must be only one solution.

Feel free to ask me any questions in the comments! :D

7 0
2 years ago
The zeros of function dare -3 and 8. Which expression could be a factor of function d?
erastovalidia [21]

Answer:

(x + 3)

Step-by-step explanation:

Using the zero product property

x-a = 0  x-b = 0  where a and b are the zeros

(x-a)(x-b) =0

(x- -3)(x -8) =0

(x+3) (x-8) =0

3 0
2 years ago
What is the surface area of the​ solid?
sertanlavr [38]

Answer:

othe large one is 234 i ran out of time sorry i didnt get  circleto t

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Which symbol correctly compared the two fractions 2/3 and 4/6
RSB [31]

They both equal so symbol is "=" they have LCM of 3 .

6 0
3 years ago
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