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blsea [12.9K]
3 years ago
9

Simplify the rational expression state any excluded values

Mathematics
1 answer:
Sphinxa [80]3 years ago
4 0
The answer is  C)  x-3
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1. Use the graph of the rational function
Mrrafil [7]

Answer:

As x \to -3^{+}, f(x) \to -\infty

Step-by-step explanation:

Given:

From the graph, we can conclude that:

The function has vertical asymptotes at x=-3\ and\ x=2

The function has horizontal asymptote at f(x)=0

Vertical asymptotes are those values of 'x' for which the functions tends towards infinity. Horizontal asymptote is the value of the function as the 'x' value tends to infinity.

Now, as x \to -3^{+} means the right hand limit of the function at x=-3

From the graph, the right hand limit is the right side of the asymptote of the function at x = -3. The right side shows that the function is tending towards negative infinity.

Therefore, As x \to -3^{+}, f(x) \to -\infty

4 0
3 years ago
A rectangular bedroom is 4 ft longer than it is wide. Its area is 140 ft2. What is the width of the room? ft
steposvetlana [31]

Answer: width = 10 ft

Step-by-step explanation:

Area = length × width

Let l be length and w be width

l = w + 4 ........equation (1)

From above formula

140 = l × w. ........equation (2)

Substitute equation (1) into equation (2)

140 = (w+4) × w

w^2 + 4w= 140

w^2 + 4w - 140= 0

By factorization method

(w+14)(w-10)= 0

w=-14 or w= 10

So now width is 10 ft

From equation(1)

l=w+4

l= 10+4

l= 14 ft

Width = 10 ft and length = 14 ft

3 0
3 years ago
Read 2 more answers
Please help i can’t figure out which answer it is.
inn [45]

Answer:

45

Step-by-step explanation:

So you have the equation:

(3x - 5) ^(x) - 19

and the value x = 3,

so just substitute in and simplify:

(3*3 - 5) ^ (3) - 19

(9 - 5)^(3) - 19

(4)^(3) - 19

64 - 19

45

8 0
3 years ago
What are the solutions of x2 = 8 - 5x?
jonny [76]

Answer:

That can be re-written:

x^2 + 5x -8 = 0

We use the Quadratic Formula

a=1

b = 5

c = -8

x = [-b +- sq root (b^2 - 4ac) ] / 2a

x = [-5 +- sq root (25 - - 32)] / 2

x1 = [-5 + sq root (57)] / 2

x1 = 1.27491722

x2 = [-5 - sq root (57)] / 2

x2 = -6.2749172176

Step-by-step explanation:

5 0
3 years ago
Round 57,386 to the nearest thousand
DochEvi [55]
57 thousand. Since 3 is closer to 0 than it is to 10
5 0
3 years ago
Read 2 more answers
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