Answer:
Step-by-step explanation:
Look at where -2 is on the x-axis (the left side of the horizontal line), and go another half a box in, that is -2.5. But then go down one box from there, and plot the point. that is (-2.5,-1).
Next go half a box to the right and two boxes up, and plot your point there. that is (.5,2).
Answer:
2, 6, 12, 20, 30
Step-by-step explanation:
To find the first 5 terms, substitute n = 1, 2, 3, 4, 5 into the rule
a₁ = 1² + 1 = 1 + 1 = 2
a₂ = 2² + 2 = 4 + 2 = 6
a₃ = 3² + 3 = 9 + 3 = 12
a₄ = 4² + 4 = 16 + 4 = 20
a₅ = 5² + 5 = 25 + 5 = 30
The solution to the system of equations is: (1, -8).
<h3>How to Find the Solution to a System of Equations?</h3>
The solution is the coordinate of the point where both lines of the equations meet.
Second equation: 3y + 30 = 6x, rewrote in slope-intercept form:
3y = 6x - 30
y = 6x/3 - 30/3
y = 2x - 10 --> eqn. 1
Find the slope (m) and y-intercept (b) of the first graphed equation:
Slope (m) = change in y/change in x = rise/run = -4/2 = -2
The line intersects the y-axis at y = -6, so, the y-intercept, b = -6.
The first equation would be: y = -2x - 6 ---> eqn. 2
Subtract eqn. 2 from eqn. 1 to eliminate x
y = 2x - 10 --> eqn. 1
y = -2x - 6 ---> eqn. 2
2y = 0 - 16
2y = -16
y = -16/2
y = -8
Substitute y = -8 into eqn. 1 to find x:
-8 = 2x - 10
-8 + 10 = 2x
2 = 2x
2/2 = x
1 = x
x = 1
The solution is therefore: (1, -8).
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Answer:
Step-by-step explanation:
speed = 240 miles/(6 hours) = 40 miles/hour
360 miles × 1 hour/(40 miles) = 9 hours
Answer:
The equation is TRUE.
Step-by-step explanation:
To solve the given equation:
You need to find the value of the variable "d". You can apply this procedure:
- Multiply both sides of the equation by 9:
- Divide both sides of the equation by 5:
Check the solution substituting the value of "d" into the equation and evaluating: