X = -6y - 12
4x + 5y =-39
4x + 5y = -39
-4(-6y - 12) + 5y = -39
-4(-6y) + 4(12) + 5y = -39
24y + 48 + 5y = -39
29y + 48 = -39
29y = -87
y = -3
x = -6y - 12
x = -6(-3) - 12
x = 28 - 12
x = 6
(x, y) = (6, -3)
Answer:
$10.50
Step-by-step explanation:
First, find the cost of a pound of nuts.
Divide the price by the number of pounds:
60/4
= 15
Calculate the price with the 30% discount by multiplying this by 0.7:
15(0.7)
= 10.5
So, after the discount, a pound of nuts will cost $10.50
Answer:

Step-by-step explanation:
From the image, f(x) and x are rlated by

where b is the common ratio
We first find the value for b





so we can say the common ratio, b=5
we put in any value of f(x) and the corresponding value for x to find a value
Let put x=0 and f(x)=5120
This implies that

but

Hence a=5120
Thus the equation which model the relationship between the weeks and the viewers is

Answer:
Therefore the rate change of height is
m/s.
Step-by-step explanation:
Given that a vertical cylinder is leaking water at rate of 4 m³/s.
It means the rate change of volume is 4 m³/s.

The radius of the cylinder remains constant with respect to time, but the height of the water label changes with respect to time.
The height of the cylinder be h(say).
The volume of a cylinder is 


Differentiating with respect to t.

Putting the value 



The rate change of height does not depend on the height.
Therefore the rate change of height is
m/s.
Option is B) y-3x=0 represents a proportional relationship between the x and y values
Explanation:
Case 1 = y+4=3x
From the above equation we can see that if we change the value of x, the value of y does not changes by proportionality due to the presence of 4 .
Case 2: y-3x=0
From the above equation we can see that if we change the value of x, the value of y changes by proportionality.
Hence the correct option is B.
Case 3 = y+5x=6
From the above equation we can see that if we change the value of x, the value of y does not changes by proportionality due to the presence of 6.
Case 4 = y+1/4×x=2
From the above equation we can see that if we change the value of x, the value of y does not changes by proportionality due to the presence of 2.