Answer:
k
Step-by-step explanation:
The constant of proportionality is the ratio between two directly proportional quantities. ... Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.
The length of a'b' is the same as ab because it is the same image so it is 3 units
Answer:
The number of pounds of City Roast Columbian coffee they should buy is 1 and the number of pounds of French Roast Columbian coffee they should buy is 11.
Step-by-step explanation:
Let
x ----> the number of pounds of a City Roast Columbian coffee
y ---> the number of pounds of a French Roast Columbian coffee
we know that
-----> equation A
----> equation B
Solve the system of equations by graphing
The solution is the intersection point both graphs
The solution is the point (1,11)
therefore
The number of pounds of City Roast Columbian coffee they should buy is 1 and the number of pounds of French Roast Columbian coffee they should buy is 11.
Answer:
x-int = 18
y-int = -9/2
Step-by-step explanation:
Use slope-intercept form y=mx + b
To find the slope, substitute the two points into the slope formula and solve.

Substitute a random point (2,-4) and m=1/4 into slope-intercept form
y = mx+b
-4 = 1/4 (2) + b
-4 = 2/4 + b
-4 = 1/2 + b
Isolate b to solve
b = -4 - 1/2
b = -8/2 - 1/2
b = -9/2 <= this is the y-intercept
b is the y-intercept in slope-intercept form
Substitute b= -9/2 and m=1/4 to get the equation of the line.
y = 1/4 x - 9/2
Substitute y for 0 to find the x intercept
y = 1/4 x - 9/2
0 = 1/4 x - 9/2
9/2 = 1/4 x
x = (9/2) / (1/4)
x = (9/2) X (4/1)
x = 36/2
x = 18
Answer:
8,666.30
Step-by-step explanation: