Answer:
-2
Step-by-step explanation:
Dividing the given equation by x, we find y to be ...
y = -2/x
Then ...
dy/dx = 2/x^2
and ...
dy/dt = (2/x^2)dx/dt
dx/dt = (x^2/2)dy/dt
When dy/dt = -4 and x=-1, this is ...
dx/dt = (-1)^2/2(-4) = (1/2)(-4)
dx/dt = -2
Answer:
15x
Step-by-step explanation:
Combine like terms.
9+6=15
9x+6x=15x
Answer:
0.28 represents the growth factor
Step-by-step explanation:
Given

Required
What does 0.28 represents
In a function:

b represents the growth factor.
By comparison:

So, this implies that: 0.28 represents the growth factor
Answer:
Option B -
and 
Step-by-step explanation:
Given : The Thrill amusement park charges an entry fee of $40 and an additional $5 per ride, x. The Splash water park charges an entry fee of $60 and an additional $3 per ride, x.
To find : Which system of equations could be used to determine the solution where the cost per ride of the two amusement parks, y, is the same?
Solution :
Let x be the number of rides and
y be the cost per ride.
According to question,
The Thrill amusement park charges an entry fee of $40 and an additional $5 per ride.
The equation form is 
The Splash water park charges an entry fee of $60 and an additional $3 per ride.
The equation form is 
Therefore, The required system of equations form are
and 
So,Option B is correct.
Three unknowns requires three equations to solve . . .
1) n + d + q = 30
2) d = 2n
3) (0.05)n + (0.10)d + (0.25)q = 5.50
* plug 2) into 1) and solve for q
n + 2n + q = 30
3n + q = 30
q = 30 - 3n
* now we have variables d and q expressed in terms of n, so we plug those equations into 3) and solve for n . . .
0.05n + 0.10(2n) + 0.25(30 - 3n) = 5.50
0.05n + 0.20n + 7.50 - 0.75n = 5.50
(0.05 + 0.20 - 0.75)n + 7.50 = 5.50
-0.50n + 7.50 = 5.50
-0.50n = 5.50 - 7.50
-0.50n = -2.00
n = -2.00/-0.50 = 4
d = 2n = 2(4) = 8
q = 30 - 3n = 30 - 3(4) = 30 - 12 = 18
The answer is . . .
n = 4 nickels
d = 8 dimes
q = 18 quarters
. . . for a total of (4 + 8 + 18) = 30 coins
. . . 8 dimes is twice 4 nickels
. . . $0.05(4) + $0.10(8) + $0.25(18) = $5.50