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nexus9112 [7]
3 years ago
8

In the Apex Republic, 8% of the population was unemployed in May of 2006. If there were 176,000,000 people willing and able to w

ork in the Apex Republic during that month, how many people were unemployed?
Mathematics
1 answer:
dolphi86 [110]3 years ago
8 0
176,000,000*0.08=14,080,000 people
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Solve the system of equations:
iVinArrow [24]

(-1,-2) \:  \:  \:  \:  \: and \:  \:  \:  \:  \: (3,6) \\ Answer: A

Step-by-step explanation:

y = 2x \\ y =  {x}^{2}  - 3 \\  \\ 2x =  {x}^{2}  - 3 \\  {x}^{2}  - 2x - 3 = 0 \\ (x + 1)(x - 3) = 0 \\ x + 1 = 0 \:  \:  \:  \:  \: or \:  \:  \:  \:  \: x - 3 = 0 \\ x =  - 1 \:  \:  \:  \:  \: or \:  \:  \:  \:  \: x = 3

When x = -1

Substitute x = -1 into y = 2x

y = 2(-1)

y = -2

( -1, -2)

When x = 3

Substitute x = 3 into y = 2x

y = 2(3)

y = 6

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3 years ago
Which table represents a direct variation? Table A x 4 6 8 10 y 7 9 11 13 Table B x 4 6 8 10 y 12 18 24 30 Table C x 4 6 8 10 y
Greeley [361]

Answer:

We conclude that 'Table B' represents a direct variation.

Step-by-step explanation:

We know that when y varies directly with x, the equation is

y ∝ x

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Table A

x     4 6 8 10

y     7 9 11 13

Finding k for all the pairs of x and y

k = y/x

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As constant of proportionality 'k' does not remain constant.

Hence, table A does not represent a direct variation

Table B

x     4   6   8   10

y     12 18 24 30

Finding k all the pairs of x and y

k = y/x

k = 12/4 = 3, k = 18/6 = 3, k = 24/8 = 3, k = 30/10 = 3

As the constant of proportionality remains constant.

Therefore, the value of k = 3 for all the points in the table.

Hence, table B represents a direct variation.

Table C

x     4   6   8   10

y     1    3    5    7

Finding k all the pairs of x and y

k = y/x

k = 1/4, k = 3/6 = 1/2, k = 5/8, k = 7/10

As the constant of proportionality 'k' does not remain constant.

Hence, table C does not represent a direct variation.

Table D

x     4   6   8   10

y     3   3   3    3

Finding k all the pairs of x and y

k = y/x

k = 3/4, k = 3/6, k = 3/8, k = 3/10

As the constant of proportionality 'k' does not remain constant.

Hence, table D does not a direct variation.

Therefore, we conclude that 'Table B' represents a direct variation.

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