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2 years ago

Problem 1.1

Mathematics

1 answer:

Vesna [10]2 years ago

5 0

Answer:

Step-by-step explanation:

1 table and 2 chairs (2-seat table)

1 table and 4 chairs (4-seat table)

120 people so we need 120 chairs

Some Possibilities :

120 /4 = 30

0( 2-seat table) and 30 (4- seat tables) because 0·2 + 30·4 = 0+120 = 120

2( 2-seat table) and 29 (4- seat tables) because 2·2 + 29·4 = 4+ 116= 120

4( 2-seat table) and 28 (4- seat tables) because 4·2 + 28·4 = 8+ 112= 120

...

120/2 = 60

60( 2-seat table) and 0 (4- seat tables) because 60·2 + 0·4 = 120 + 0 = 120

58( 2-seat table) and 1 (4- seat tables) because 58·2 + 1·4 = 116 + 4 = 120

56( 2-seat table) and 2 (4- seat tables) because 56·2 + 2·4 = 112 + 8 = 120

...

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3 years ago

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2 years ago

Simplify without the absolute value |x+3| ; if x>2

inna [77]

Answer:

$x+3$ if $x>2$

Step-by-step explanation:

Recall some following basic ideas about absolute value:

$|0|=0$ or I guess $-(0)=0$

$|3|=3$

$|-3|=-(-3)$ or just $3$ but there is a reason why I wrote it the way I did.

You see that the absolute value returned the same value if the value was positive.

You see that the absolute value returned the opposite value if the value was negative.

You can include 0 in either.

Let's look at $|x+3|$ alone for a second.

* $|x+3|=x+3$ if $x+3$ is positive or zero.

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$x+3\ge 0$

Subtract 3 on both sides

$x\ge -3$

* $|x+3|=-(x+3)$ if $x+3$ is negative or zero.

When is $x+3$ negative or zero? [less or equal to 0]

$x+3\le 0$

Subtract 3 on both sides

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So looking at the bullet points (the *), $x>2$ fits into the first inequality.

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2 years ago

What are the coordinates of the intersection of the graphs of 3x - y^2 = 12 and y = -3

inessss [21]

Answer:

(7,-3)

Step-by-step explanation:

y = -3

substitute in the first equation

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3x - (-3)^2 = 12

3x - 9 = 12

3x = 12 + 9

3x = 21

x = 7

coordinates of intersection (7,-3)

3 0

2 years ago