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Slav-nsk [51]
3 years ago
7

What are the domain and range of the real-valued function f(x)=2/(x+5)?

Mathematics
2 answers:
Lunna [17]3 years ago
7 0
Domain: all real numbers except x=-5
(-infinity, -5)U(-5, infinity)

Range: all real numbers except y=0
(-infinity, 0)U(0, infinity)
LekaFEV [45]3 years ago
4 0

Answer:

Domain is all real numbers, x ≠ -5

Range is all real numbers, y ≠ 0

Step-by-step explanation:

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A the graph represents a linear function because

Step-by-step explanation:

5 0
3 years ago
The perimeter of a rectangle is 54 feet. The area of the rectangle is 176 square feet. Find the dimensions of the rectangle.
Murrr4er [49]

11 by 16

Explanation:

Set up two equations

2

x

+

2

y

=

54

x

×

y

=

176

Solving the first equation for x

2

x

+

2

y

−

2

y

=

54

−

2

y

this gives

2

x

=

54

−

2

y

Divide both sides by 2

(

2

x

2

)

=

54

−

2

y

2

This gives.

x

=

27

−

y

putting this value into the second equation gives.

(

27

−

y

)

×

y

=

176

multiplying across the parenthesis gives

27

y

−

y

2

=

176

subtracting 176 from both sides gives

is

27

y

−

y

2

−

176

=

0

multiplying by negative one gives

−

27

y

+

y

2

+

176

=

0

factoring this into y gives

(

y

−

11

)

×

(

y

−

16

)

=

0

Solving for both y's gives

y

=

11

,

y

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6 0
2 years ago
-2 (m+n-4)+5 (-2m+2n)+n (m+4n-5)
Natalka [10]
So if you want to add
we distribute
a(b+c)=ab+ac so
-2(m+n-4)=-2m-2n+8

5(-2m+2n)=-10m+10n

n(m+4n-5)=mn+4n^2-5n

so total we ahve
-2m-2n+8-10m+10n+mn+4n^2-5n
group like terms
4n^2+-2m-10m-2n+10n-5n+mn+8
add like temrs
4n^2-12m+3n+mn+8
5 0
4 years ago
Evaluate k (t) = 10t-19 at the specified input. <br> k(-7) = <br><br> Explain your answer.
mr_godi [17]
Plug -7 for x

10*-7 = -70 - 19 = -89

<span>k(-7) = -89</span>
8 0
3 years ago
Read 2 more answers
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