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2 years ago

Which inequality defines the shaded region graphed below?

Mathematics

1 answer:

masha68 [24]2 years ago

7 0

Answer:

Every ordered pair within this region will satisfy the inequality y ≥ x. Incorrect. The boundary line here is y = x, and the correct region is shaded, but remember that a dotted line is used for < and >. The inequality you are graphing is y ≥ x, so the boundary line should be solid.

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The sum of two numbers is 20 and the difference is 12. What are the numbers?

svetlana [45]

Answer:

1) A system of two linear equations to represent this problem

x+y=20 and x-y=12

2) The numbers are x=16 and y=4

Step-by-step explanation:

Let x and y be the two numbers

Given that the sum of the two numbers is 20

That is $x+y=20\hfill (1)$

and the difference is 12

That is $x-y=12\hfill (2)$

1) A system of two linear equations to represent this problem

$x+y=20\hfill (1)$

$x-y=12\hfill (2)$

2). Noe Solve the system to find the 2 numbers:

Adding the equations (1) and (2) we get

$x+y=20$

$x-y=12$

_____________

2x=32

$x=\frac{32}{2}$

Therfore x=16

Now substitute x=16 in equation (1) we get

$16+y=20$

$y=20-16$

Therefore y=4

Therefore the numbers are x=16 and y=4

4 0

3 years ago

How many different trios could be selected from a chorus of 20 singers? 20! C(20, 3) P(20, 3)

timama [110]

<u>Answer:</u>

C (20, 3) = 1140

<u>Step-by-step explanation:</u>

We are given that there is chorus of 20 singers and we are to find the number of different trios that can be selected from 20 singers.

This is a problem of combinations where the order of trios is not important.

$C ( 2 0 , 3 ) = \frac { ( 2 0 ! ) } { ( ( 2 0 - 3 ) ! 3 ! ) }$

$C ( 2 0 , 3 ) = \frac { 2 0 ! } { ( 1 7 ! ) ( 3 ! ) }$

$C ( 2 0 , 3 ) = \frac{( 2 0 \times 1 9 \times 1 8 )}{( 3 \times 2 \times 1 )}$

C (20, 3) = 1140

3 0

3 years ago

The minimum angle of rotation to map the given image onto itself is

Kobotan [32]

Answ

Step-by-step explanation:

because you have add 90 for all of them

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3 years ago

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ANTONII [103]

Answer:

greatest value: 98321

least value: 12389

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3 years ago

Please Help!

natita [175]

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3 0

3 years ago