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Novosadov [1.4K]
3 years ago
8

The function f(x) is defined as follows:

Mathematics
1 answer:
Leno4ka [110]3 years ago
6 0

Answer:

f(-3)=-8\\f(2)=4

Step-by-step explanation:

In order to find the values of a piecewise function, we first have to determine which piece we are using.

For f(-3), x=-3. This means that we need to use 3x+1 as -3\leq 0

f(-3)=3(-3)+1\\\\f(-3)=-9+1\\\\f(-3)=-8

For f(2), x=2. This means that we need to use f(x)=4 as x is equal to 2.

f(x)=4

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A = lw
Front/ Back-3 1/2 x 3 1/3 = 11 2/3 ft.²

Sides- 3 1/3 x 3 1/3 = 11 1/9 ft.²

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3 years ago
Through (3, 4) and perpendicular to y = (1/3)x - 3
Oksana_A [137]

Answer:3

x

−

2

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=

7

Explanation:

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(

3

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y

=

−

2

3

x

+

4

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The equation  

y

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−

2

3

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y

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where  

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=

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2

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y

−

y

1

=

m

(

x

−

x

1

)

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m

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slope and  

(

x

1

,

y

1

)

is a point.

The slope is  

3

2

and the point is the given point  

(

3

,

1

)

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y

−

1

=

3

2

(

x

−

3

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a

a

a

Distribute

y

−

1

=

3

2

x

−

9

2

Standard form is  

a

x

+

b

y

=

c

where  

a

,

b

and

c

are integers and  

a

is positive.

a

a

2

(

y

−

1

=

3

2

x

−

9

2

)

a

a

a

Multiply the equation by  

2

a

a

a

a

a

2

y

−

2

=

3

x

−

9

−

3

x

a

a

a

a

a

a

a

−

3

x

a

a

a

Subtract  

3

x

from both sides

−

3

x

+

2

y

−

2

=

−

9

a

a

a

a

a

a

a

a

+

2

a

a

a

+

2

a

a

a  Add  2  to both sides  − 3 x + 2 y = − 7 − 1 ( − 3 x + 2 y = − 7 ) a a a Multiply the equation by  − 1 3 x − 2 y = 7

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<h3>What is the equation of the media in standard form?</h3>

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