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2 years ago

Which system of equations is represented by the graph?

Mathematics

2 answers:

Aloiza [94]2 years ago

8 0

Check option C

y=-x²+16

Put (2,12)

12=-(2)²+16=-4+16=12

And

y=x²+8

Put(-2,12)

12=(-2)²+8=4+8=12

Hence verified

Option C is correct

Nataly [62]2 years ago

3 0

Answer:

See below

Step-by-step explanation:

Find the value of y when x = 2 or x = -2 to determine the system

It is easy to calculate and confirm the correct equations

y = –x² + 16
y = x² + 8

See the attached to verify the answer

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El taller de baile tiene tres veces la cantidad de inscritos que el taller de arte el taller de arte tiene 98 escritos menos que

Eduardwww [97]

Answer:

The number of registrants in art workshop is 49.

Step-by-step explanation:

The dance workshop has three times the number of registrants than the art workshop the art workshop has 98 less writings than the dance workshop how many registrations the art workshop has

Let the registrants in the art workshop is p.

The registrants in the dance work shop is 3 p.

According to question,

p = 3p - 98

2 p = 98

p = 49

So, the number of registrants in art workshop is 49.

8 0

2 years ago

Infotron Inc makes electronic hockey and soccer games. Each hockey game requires 2 labor-hours of assembly and 2 labor-hours o

OlgaM077 [116]

Answer:

Infotron should produce each day 13 hockey and 6 soccer games

Step-by-step explanation:

x = Number of hockey games Infotron should produce

y = Number of soccer games Infotron should produce

Number of labor-hours for assembly = 2x + 3y

Number of labor-hours for testing = 2x + y

Now we can write our equations system, this way:

2x + 3y = 44

2x + y = 32

*********************

Expressing y in terms of x in the 2nd equation:

2x + y = 32

y = 32 - 2x

********************

Substituting y and solving for x in the 1st equation:

2x + 3y = 44

2x + 3 * ( 32 - 2x) = 44

2x + 96 - 6x = 44

-4x = 44 - 96

-4x = - 52

x = -52/-4

x = 13

*****************

Solving for y in the 2nd equation:

2x + y = 32

2 * 13 + y = 32

26 + y = 32

y = 32 - 26

y = 6

Infotron should produce each day 13 hockey and 6 soccer games

7 0

3 years ago

What is the volume of a cylinder if ,

sergiy2304 [10]

38,016 cm³

<h3>Ⲋⲟⳑⳙⲧⳕⲟⲛ :</h3>

We are given that :

Height of cylinder = 21 cm

Radius of cylinder = 24 cm

Therefore, Volume :

➙ V = πr²h

➙ V = ( 22 / 7 ) × ( 24 )² × ( 21 )

➙ V = ( 22 / 7 ) × 576 × 21

➙ V = ( 22 × 576 × 21 ) / 7

➙ V = 266112 / 7

➙ V = 38016

‎ㅤ‎ㅤ ‎ㅤ‎ㅤ~Hence, the volume of given cylinder is 38,016 cm³.

<h3>⳨ⲟⲅⲙⳙⳑⲇ ⳙ⳽ⲉ∂ :</h3>

The volume of cylinder is it's density which tells us the amount by which it can be filled by any material or the the amount of material which can be immersed in it.

The Formula for volume of cylinder is given by :

‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎ㅤ‎➙ πr²h

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