Answer:
Step-by-step explanation:
The method of variable substitution is a way of solving a system of equations. It involves solving one equation for a variable and then substituting in the expression that represents the value of the solved variable into the other equation. After doing so, one can solve for the unknown variable and then backsolve for the other variable.
In this system, the second equation is already solved for (y), thus one can substitute that expression into the other equation in the system.
Now solve using inverse operations,
Backsolve to find the value of (y), substitute in the value of (x), and solve for the value of (y).
Substitute,
Solve,
Thus, the answer to this system of equations is the following, .
The graph provides distance as a linear function of time.
The y-intercept is zero.
The line passes through (0,0) and (6,120).
Calculate the slope.
m = (120 - 0)/(6 - 0) = 20
The equation of the line is
d = 20t
where
t = time, hours
d = distance, miles
Therefore distance is the dependent variable.
When t = 24 hours, the distance is 20*24 = 480 miles.
Answers:
(a) Distance is the dependent variable
(b)The equation relating the two variables is
d = 20t
where
t = time, hours
d = distance, miles
(c) In 24 hours, the dragonfly will travel 480 miles.
Answer:
third option
Step-by-step explanation:
y = 1/2 x
For 1 the equation of the parabola is y = x^2 - 8x + 3
For 2 the equation of the parabola is y = -2x^2 - 3x + 1
For 3 the equation of the parabola is y = -x^2 + 5x - 4
After rotation the output for point C´ would be ( - 2 . -3 ). There is also a graph showing rotation in the attachment.
