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Dmitriy789 [7]
3 years ago
6

Which of the following expressions represents a function?

Mathematics
2 answers:
trasher [3.6K]3 years ago
8 0

Answer:

y = 4x − 1

Step-by-step explanation:

∵ A relation is called function if each input value has a different or unique output value,

In the line x = 1,

There are infinite output values for the input value of 1,

So, x = 1 is not a function,

In the relation {(3, 2), (3, –2), (4, 5), (4, –5)},

3 has two output values 2 and - 2,

Thus, {(3, 2), (3, –2), (4, 5), (4, –5)} is not a function,

In line y = 4x - 1,

For each value of x there is a different value of y,

So, y = 4x - 1 is a function,

In the circle, 4x^2+y^2=16,

For 2 values of x there is one value of y,

eg : for x = 2 and x = -2,

y = 0,

So, 4x^2+y^2=16 is not a function.

lora16 [44]3 years ago
4 0
The correct answer is y=4x-1
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Find the coordinates of the orthocenter of triangle ABC with vertices A (2, 0), B (2, 4), and C (6, 0).
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  (2, 0)

Step-by-step explanation:

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2 years ago
A bag contain 3 black balls and 2 white balls.
Troyanec [42]

Answer:

Step-by-step explanation:

Total number of balls = 3 + 2 = 5

1)

a)

Probability \ of \ taking \ 2 \ black \ ball \ with \ replacement\\\\ = \frac{3C_1}{5C_1} \times \frac{3C_1}{5C_1} =\frac{3}{5} \times \frac{3}{5} = \frac{9}{25}\\\\

b)

Probability \ of \ one \ black \ and \ one\ white \ with \ replacement \\\\= \frac{3C_1}{5C_1} \times \frac{2C_1}{5C_1} = \frac{3}{5} \times \frac{2}{5} = \frac{6}{25}

c)

Probability of at least one black( means BB or BW or WB)

 =\frac{3}{5} \times \frac{3}{5} + \frac{3}{5} \times \frac{2}{5} + \frac{2}{5} \times \frac{3}{5} \\\\= \frac{9}{25} + \frac{6}{25} + \frac{6}{25}\\\\= \frac{21}{25}

d)

Probability of at most one black ( means WW or WB or BW)

=\frac{2}{5} \times \frac{2}{5} + \frac{3}{5} \times \frac{2}{5} \times \frac{2}{5} + \frac{3}{5}\\\\= \frac{4}{25} + \frac{6}{25} + \frac{6}{25}\\\\=\frac{16}{25}

2)

a) Probability both black without replacement

  =\frac{3}{5} \times \frac{2}{4}\\\\=\frac{6}{20}\\\\=\frac{3}{10}

b) Probability  of one black and one white

 =\frac{3}{5} \times \frac{2}{4}\\\\=\frac{6}{20}\\\\=\frac{3}{10}

c) Probability of at least one black ( BB or BW or WB)

 =\frac{3}{5} \times \frac{2}{4} + \frac{3}{5} \times \frac{2}{4} + \frac{2}{5} \times \frac{3}{4}\\\\=\frac{6}{20} + \frac{6}{20} + \frac{6}{20} \\\\=\frac{18}{20} \\\\=\frac{9}{10}

d) Probability of at most one black ( BW or WW or WB)

 =\frac{3}{5} \times \frac{2}{4} + \frac{2}{5} \times \frac{1}{4} + \frac{2}{5} \times \frac{3}{4}\\\\=\frac{6}{20} + \frac{2}{20} + \frac{6}{20} \\\\=\frac{14}{20}\\\\=\frac{7}{10}

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3 years ago
In 9 through 28, round each number to the place of the underlined digit
iVinArrow [24]
Since 9 is over 5 it rounds up: 40,000
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