Answer:
slope: 7
y intercept (0 , 0)
Step-by-step explanation:
y = 7x
equation of line: y = mx + b m: slope b: y intercept
slope = 7
y intercept: 0 (0 , 0)
X-y=6 Equation 1
x+y=4 Equation 2
To graph the given system of equation, first find x and y-intercept of each equation.
x-y=6
When y=0
x=6 Point is (6,0)
When x=0
-y=6
y=-6 Point is (0,-6)
Now x-intercept and y-intercept for equation 2.
x+y=4
When x=0
y=4 Point is (0,4)
When y=0
x=4 Point is (4,0)
Now plot these points on the graph, the lines intersect each other at point (5,-1), which is the solution of the given system.
Answer: (5,-1)
Answer:
c = -5 and d = 1
Step-by-step explanation:
First, multiply out (cy^2)(4y^d). We get: 4cy^(2+d).
We equate this result to the right side of the equation: - 20y^3.
Then, equating the exponents and solving for d, we get: 2 + d = 3, or d = 1.
Equating the coefficients, we get 4c = -20, or c = -5.
Answer:
0.5
Step-by-step explanation:
Let
x = number of minutes of local calls.
y = number of minutes of international calls.
By writing the system of equations we have:
0.06x + 0.15y = 69.84
x + y = 852
Solving the system
Clear y from equation two
y = 852-x
Replace y in equation 1
0.06x + 0.15 (852-x) = 69.84
Clear x
0.06x + 127.8 - 0.15x = 69.84
127.8 - 69.84 = 0.15x -0.06x
57.96 = 0.09x
x = 57.96 / 0.09 = 644
x = 644
Replace x in any of the two equations and clear y:
x + y = 852
y = 852-644
y = 208
answer
number of minutes of local calls = 644
number of minutes of international calls = 208