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3 years ago

Which inequality is represented by this graph? -5 4 -3 -2 -1 0 1 N 3 4 5

Mathematics

1 answer:

Westkost [7]3 years ago

7 0

Answer:

x≥0

Step-by-step explanation:

The arrow is moving right, to the larger numbers from the starting point at 0. This means that x has to be greater than 0

Because the point at 0 is an empty white dot, it means that it is a 'greater than or equal to' symbol ( looks like this ≤ or ≥, depending on which side you write the x)

So, the final answer is x is greater than or equal to 0, which in maths terms looks like this x≥0, or this 0≤x.

NOTE:

- filled in dot on the number line = greater than, or less than (>)

- empty dot on number line [like the one on this Q] = greater than or equal to, or less than or equal to (≥)

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Which is the solution set of 18 - 3n + 2 = n + 20 - 4n Ф 0 all reals

Lemur [1.5K]

Answer:

all reals

Step-by-step explanation:

Simplified, you have ...

20 -3n = 20 -3n

The equation is a tautology, true for all values of n.

The solution set is "all reals."

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3 years ago

A student needs to make a circular cardboard piece with an area between 154 square inches and 616 square inches. The function f(

Nezavi [6.7K]

The area of the circle by definition is given by:
$f (r) = \pi * r ^ 2
$
For f (r) = 154:
$154 = \pi * r ^ 2
$
Clearing r we have:
$r ^ 2 = 154 / 3.14

 r = \sqrt{154/3.14} 

 r = 7$
For f (r) = 616:
$616 = \pi * r ^ 2$
Clearing r we have:
$r ^ 2 = 616 / 3.14 r = \sqrt{616/3.14} r = 14$
Answer:
a reasonable domain for f (r) is:
7 <r <14

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3 years ago

Use a scientific calculator or unit circle to convert the polar form of the complex number to its equivalent rectangular form.

yKpoI14uk [10]

Answer:

Step-by-step explanation:

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3 years ago

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2 years ago

Please help

nalin [4]

Answer:

12870ways

Step-by-step explanation:

Combination has to do with selection

Total members in a tennis club = 15

number of men = 8

number of women = 7

Number of team consisting of women will be expressed as 15C7

15C7 = 15!/(15-7)!7!

15C7 = 15!/8!7!

15C7 = 15*14*13*12*11*10*9*8!/8!7!

15C7 = 15*14*13*12*11*10*9/7 * 6 * 5 * 4 * 3 * 2

15C7 = 15*14*13*12*11/56

15C7 = 6,435 ways

Number of team consisting of men will be expressed as 15C8

15C8 = 15!/8!7!

15C8 = 15*14*13*12*11*10*9*8!/8!7!

15C8 = 15*14*13*12*11*10*9/7 * 6 * 5 * 4 * 3 * 2

15C8 = 6,435 ways

Adding both

Total ways = 6,435 ways + 6,435 ways

Total ways = 12870ways

Hence the required number of ways is 12870ways

4 0

3 years ago