Answer:
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.
Step-by-step explanation:
Answer: 8x+3x=12x+9
The number is -9.
Step-by-step explanation: Combine like terms.
11x=12x+9
Subtract 12x from the other side. 11x-12x= -1x
-1x+9
Divide by -1 to isolate x.
-1/-1 cancels out.
9/-1= -9
x=-9
Plug in -9 to check your answer if you want to double check.
Remember how the tangent function is defined as

Now where exactly are the vertical assymptotes? Well, where cosx = 0, because anything over 0 is undefined, and where a value is undefined, you are required to draw a vertical assymptote.
Now where exactly are the x interecepts? Well, where sinx = 0, because remember, an x-intercept is where y = 0, or where it crosses the x-axis, meaning where the tangent function is equal to 0.
So the x-intercepts are at where sinx = 0.
$45,600
12 (200 + 75s)
12 ((200 + 75 (48))
12 ( 200 + 3600)
12 (3800)
45600
Answer: See below
Explanation:
6a + 11 = 2a + 83
6a - 2a = 83 - 11
4a = 72
a = 72/4
a = 18