Answer:
x = √(-1) = i
Since the value of √(-1) is not real.
The system has no real solution.
Step-by-step explanation:
The solution to the system of equations is at the point where they intercept each other.
y1 = y2
For the given equation;
y=x^2-2x and y=-2x-1
To get the where they intercept, we will equal both equations;
y=x^2-2x = -2x-1
x^2 - 2x = -2x - 1
x^2 - 2x + 2x + 1 =0
x^2 +1 = 0
x^2 = -1
x = √(-1) = i
Since the value of √(-1) is not real.
The system has no real solution.
Answer:
-2 & 1/3
Step-by-step explanation:
When you set the two equations equal to each other, they form to parallel, vertical lines. They cross the x-axis at -2 and 1/3. Hope this helps.
Answer: Jordan worked for 10 hours and Sydney worked for 6 hours.
Step-by-step explanation:
Let x represent the number of hours
that Jordan worked.
Let x represent the number of hours that Sydney worked.
Jordan can iron 20 shirts per hour, and Sydney can iron 25 shirts per hour. They ironed 350 shirts between them. It means that
20x + 25y = 350- - - - - - - - - - - 1
Jordan worked 4 more hours than Sydney. It means that
x = y + 4
Substituting x = y + 4 into equation 1, it becomes
20(y + 4) + 25y = 350
20y + 80 + 25y = 350
20y + 25y = 350 - 80
45y = 270
y = 270/45
y = 6
x = y + 4 = 6 + 4
x = 10
Answer:
C/3
Step-by-step explanation:
Answer:
Step-by-step explanation:
If the price is linear, then the slope between each pair of points must be the same.
m = Δy/Δx
m = (150 - 70) / (5 - 1) = 20
m = (450 - 150) / (20 - 5) = 20
m = (1050 - 450) / (50 - 20) = 20
So the equation is indeed linear. It has a slope of 20 and y-intercept of 50.
p = 20n + 50