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Citrus2011 [14]
3 years ago
5

Can you please help me with these piece wise function things

Mathematics
1 answer:
julsineya [31]3 years ago
8 0
Plug the domain into the function and the y values you get will be [0, 7) and [5,11)
Putting the ranges for each piece together, the lowest number in the range is 0 and the highest number is 11. The zero is included since the inequality sign was ansl equal to. The 11 is not included since it was not equal to.
[0,11) is the range.
Letter A
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Two families went to Rollercoaster World.
Alona [7]

Answer:

Children ticket cost $30 and adult ticket costs $40.

Step-by-step explanation:

Given that:

x = price of a child ticket

y = price of an adult ticket

According to given statement;

3x+2y=170     Eqn 1

4x+6y=360    Eqn 2

Multiplying Eqn 1 by 3

3(3x+2y=170)

9x+6y=510      Eqn 3

Subtracting Eqn 2 from Eqn 3

(9x+6y)-(4x+6y)=510-360

9x+6y-4x-6y=150

5x=150

Dividing both sides by 5

\frac{5x}{5}=\frac{150}{5}\\x=30

Putting x=30 in Eqn 1

3(30)+2y=170

90+2y=170

2y = 170-90

2y = 80

Dividing both sides by 2

\frac{2y}{2}=\frac{80}{2}\\y=40

Hence,

Children ticket cost $30 and adult ticket costs $40.

6 0
2 years ago
In a naval engagement, one-third of the fleet was captured, one-sixth was sunk, and two ships were destroyed by fire. One-sevent
Otrada [13]

Answer:

60 ships.

Step-by-step explanation:

Let the total number of ships in the naval fleet be represented by x

One-third of the fleet was captured = 1/3x

One-sixth was sunk = 1/6x

Two ships were destroyed by fire = 2

Let surviving ships be represented by y

One-seventh of the surviving ships were lost in a storm after the battle = 1/7y

Finally, the twenty-four remaining ships sailed home

The 24 remaining ships that sailed home =

y - 1/7y = 6/7y of the surviving fleet sailed home.

Hence

24 = 6/7y

24 = 6y/7

24 × 7/ 6

y = 168/6

y = 28

Therefore, total number of ships that survived is 28.

Surviving ships lost in the storm = 1/7y = 1/7 × 28 = 4

Total number of ships in the fleet(x) =

x = 1/3x + 1/6x + 2 + 28

Collect like terms

x - (1/3x + 1/6x) = 30

x - (1/2x) = 30

1/2x = 30

x = 30 ÷ 1/2

x = 30 × 2

x = 60

Therefore, ships that were in the fleet before the engagement were 60 ships.

3 0
2 years ago
Whats 2+2 I really need help. It's the hardest question I've ever seen. D:
GREYUIT [131]

Answer:

4

Step-by-step explanation:

Take 2 oranges, add 2 more

Now count them all together...

You have 4 oranges!!

5 0
3 years ago
What principle will amount to $6000 if invested at 5.5% compounded monthly for 10 years?
Tju [1.3M]

Answer:In 10 years, you will have $10,386.46

Step-by-step explanation:

8 0
2 years ago
Which of the following graphs represents the equation x >-3y+9
enot [183]
Hello,
Please, see the attached file.
Thanks.

5 0
3 years ago
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