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3 years ago

Which inequalities have the solution set graphed on the number line? Select two options.

Mathematics

1 answer:

ziro4ka [17]3 years ago

8 0

Answer:

option 3 and 4 should be correct

Step-by-step explanation:

a closed circle means that you would be using an "greater then or equal to" or "less then or equal to". the line is going to the right so anything past -2 is going to be greater. so the answer would look like

$-2 \leq x$

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What is the net force on an object that has a 25N force pulling it to the right, and two 10N forces pulling it to the left?

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Answer:

Step-by-step explanation:

25 - (10 x 2) = 5N

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3 years ago

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Crazy boy [7]

It’s -2 if you are looking for the slope.

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Write the equation of the line in slope-intercept form.

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3 years ago

The sum of a number and its reciprocal is 2whole number 1 over 6. Find that number

notsponge [240]

Answer:

2/3 or 3/2

Step-by-step explanation:

Let x represent the number. The given relation is ...

x +1/x = 2 1/6

x^2 +1 = (13/6)x

6x^2 -13x +6 = 0 . . . . . subtract the right side and multiply by 6

(6x -9)(6x -4)/6 = 0 . . . . factor

(2x -3)(3x -2) = 0 . . . . . . simplify a bit

x = 3/2 or 2/3 . . . . . . . . values of x that make the factors zero

The number is 2/3 or its reciprocal, 3/2.

6 0

3 years ago

7,210 books in a library are organized into 3 rooms. there are 1,960 more books in the first room than in the second room. the n

Free_Kalibri [48]

Answer:

750 books

Step-by-step explanation:

Let there be "x" number of books in the 3rd room

Now,

2nd room has 3 times as 3rd room, so we can write:

Second Room = 3x

Also, there are 1960 MORE books in 1st room than 2nd room, so we can write:

First Room = 3x + 1960

In total there are 7210 books in all three rooms, thus we can write:

First Room + Second Room + Third Room = 7210

Now, replacing the first 2 equations in this, we get:

3x + 1960 + 3x + x = 7210

Solving for x:

$3x + 1960 + 3x + x = 7210\\7x=7210-1960\\7x=5250\\x=\frac{5250}{7}\\x=750$

"x" is indeed what we are looking for. Thus,

There are 750 books in the third room

7 0

3 years ago