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Anna35 [415]
3 years ago
5

What is x when the equation is 5|2x+3|=45?

Mathematics
2 answers:
storchak [24]3 years ago
6 0
1.)divide by 5 on each side to obtain
Abs(2x+3)=45
2x+3=45 or 2x+3=-45
2x=42 or 2x=-48
x=21 or x=-24
aliina [53]3 years ago
4 0

5|2x+3|=45

|2x+3|=45/5

|2x+3|=9

Now set up two cases.

2x + 3 = -9 and 2x + 3 = 9

Solve each equation for x and then plug your answers back into the original equation given.

The x-value that produces a true statement for the given absolute value equation will be your answer.

Take it from here.

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Answer: Jose


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3 0
2 years ago
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7 0
2 years ago
This problem is taken from the delightful book "Problems for Mathematicians, Young and Old" by Paul R. Halmos. Suppose that 681
aleksley [76]

Answer:

680 games

Step-by-step explanation:

Suppose that 681 tennis players want to play an elimination tournament.

1st round:

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2nd round:

There will be 170 winners plus one player which sits - 171 players for the next round and 170 games

3rd round:

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4th round:

There will be 43 winners - 43 players for the next round and 43 games

5th round:

There will be 21 winners plus one player which sits - 22 players for the next round and 21 games

6th round:

There will be 11 winners  - 11 players for the next round and 11 games

7th round:

There will be 5 winners plus one player which sits - 6 players for the next round and 5 games

8th round:

There will be 3 winners  - 3 players for the next round and 3 games

9th round:

There will be 1 winner plus one player which sits - 2 players for the next round and 1 game

10th round - final:

1 champion and 1 game.

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4 0
3 years ago
A display case for the artifact is in the shape of a cube. Each side of the display case is three times longer than the width ww
Katena32 [7]
A cube is a 3d object bounded by  6 square faces. 

Each side of the display case is 3 times longer than the width of the artifact.

width of the artifact = w
side of the cube = 3w

<span>a. Write an expression for the volume of the case.
 volume of a cube is the measure of its side raised to the power of 3.

Volume = (3w)</span>³

<span>Volume = 27w</span>³<span>

</span>
6 0
3 years ago
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