Answer:
y=(6(x+6)(x-3))/((x-2)(x+3))
Step-by-step explanation:
The vertical asymptote should be in the denominator. The x-interceps should be in the numerator. Because we have horizontal asymptote y=6, then we have to put 6 in the numerator. the horizontal asymptote is the leading coefficient of the numerator ÷ the leading coefficient of the denominator, when the degree of the numerator and denominator are the same.
Step-by-step explanation:
63 is a composite number. 63 = 1 x 63, 3 x 21, or 7 x 9. Factors of 63: 1, 3, 7, 9, 21, 63. Prime factorization: 63 = 3 x 3 x 7, which can also be written 63 = 3² x 7.
Answer: The gravity's constant value is 
.
Explanation:
The given function shows the distance from the ground (in meters) at time t (in sec).
First derivative of displacement is velocity and the second derivative of displacement is acceleration.
Differentiate the given equation with respect to t.
Differentiate the above equation with respect to t.
It is given that gravity is the only acceleration affecting the object and the negative sign shows the downward direction of the object.
Therefore, the gravity's constant value is .
4(x - 3) - 2(x - 1) > 0
4x - 12 - 2x + 2 > 0
2x - 10 > 0 |add 10 to both sides
2x > 10 |divide both sides by 2
x > 10 ⇒ x ∈ (10; ∞)
