Answer:
As 
Step-by-step explanation:
Given:
From the graph, we can conclude that:
The function has vertical asymptotes at 
The function has horizontal asymptote at 
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
means the right hand limit of the function at 
From the graph, the right hand limit is the right side of the asymptote of the function at
. The right side shows that the function is tending towards negative infinity.
Therefore, As 
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
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
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:
57 thousand. Since 3 is closer to 0 than it is to 10