Answer:
as x tends to infinity y=infinity
as x tends to 1 y=infinity
x=1 vertical asymptote
Answer:
A. 0.020
Step-by-step explanation:
we calculate the standard error of the sample mean with the formula,
,
with E= standard error of the sample mean
s= standard deviation
n= sample
So,
s= 0.2
n= 100
The area of the trapezoid is calculated through the equation,
A = ((b₁ + b₂)/2) x h
where b₁ and b₂ are the bases and h is the height. Substituting the known values from the given above,
504 = ((18 + 30)/2) x h
The value of h from the equation is 21. Thus, Molly must make the trapezoid 21 inches high.
Answer:
The parabola's axis of symmetry is x = -6
Step-by-step explanation:
Parabola general equation:
y = a*(x - r1)*(x - r2)
Equation given:
y = (-1/4)*(x + 2)*(x + 10)
a = -1/4
r1 = -2
r2 = -10
To check if the parabola passes through the point (2, 10) it is necessary to replace x = 2 and check the y-value, as follows:
y = (-1/4)*(2+ 2)*(2 + 10) = -12
Then, point (2, 10) is not included in the parabola.
If a > 0 then the parabola opens upward; if a < 0 then the parabola opens downward. Then, the parabola opens downward
Axis of symmetry:
h = (r1 + r2)/2
h = (-2 + -10)/2 = -6
Then, The parabola's axis of symmetry is x = -6
To find Parabola's vertex, replace with the axis of symmetry:
y = (-1/4)*(-6 + 2)*(-6 + 10) = 4
Therefore, the parabola has a vertex at (-6, 4)
