Answer:
Step-by-step explanation:
Alternate forms:
x^2 + y (y + 4) = 5
x^2 + y^2 + 4 y - 5 = 0
Solutions:
y = -sqrt(9 - x^2) - 2
y = sqrt(9 - x^2) - 2
Integer solutions:
x = ± 3, y = -2
x = 0, y = -5
x = 0, y = 1
Implicit derivatives:
(dx(y))/(dy) = -(2 + y)/x
(dy(x))/(dx) = -x/(2 + y)
Here is the solution based on the given situation above.
Given: 450 kg = weight limit of the elevator
750 kg = current weight of the group of passengers
? = number of passengers who weigh 70 kgs that need to get off the elevator
So to get the answer, first we need to deduct 450kg from 750 kgs to get the excess weight. So 750 - 450 is 300kgs. Next, we divide 300 by 70kgs to get the number of passengers that need to get off so 300/70 is 4.3. Therefore, there should be 4 passengers who weigh 70 kilograms that need to get off the elevator.
im assuming the equation is:-
3 / (2g + 8) = (g + 2) / (g^2 - 16)
3(g^2 - 16) = (2g + 8)(g + 2)
3g^2 - 48 = 2g^2 + 4g + 8g + 16
Answer is A x = -4
3g^2 - 2g^2 - 12g - 64 = 0
g^2 - 12g - 64 = 0
( g + 4)(g - 16) = 0
g = - 4, 16.
Test these solutions:-
g = -4
left side = 3/0 which is indeterminate
right side = -2/0 indeterminate
So x = -4 is extraneous.
x = 16:- LHS = 0.075 RHS = 0.075 so x = 16 is a root.
14 is a multiple of 7 and 14, because a factor would be like, 8 and 2 go into 16.
The given inequality is y ≥ |x + 2| -3.
This inequality may be written two ways:
(a) y ≥ x + 2 - 3
or
y ≥ x - 1
(b) y ≥ -x -2 - 3
or
y ≥ -x - 5
A graph of the inequality is shown below. The shaded region satisfies the inequality.
Answer: A shaded region above a solid boundary line.