Answer:
x = -3, y = -3.5. As an ordered pair it is (-3, -3.5).
Step-by-step explanation:
9x − 4y = −13
9x − 2y = -20
Subtract:-
-2y = 7
y = -3.5.
Substitute for y in the first equation:
9x - 4(-3.5) = -13
9x = -27
x = -3.
Answer:
After 900 minutes
Step-by-step explanation:
when we convert the velocities of the ships into miles/ min we get
The equations determining the distances of the ships from the port M (set at x=0) are
(for 45mph ship)
(for 36mph ship)
The solution to these equation lie at t= 900 minutes; therefore the two ships will meet 900 minutes after the departure of the first ship.
g(x) = 4x − 5 is a linear function (graph is a straight line), with slope 4. Knowing how to identify the slope is an essential skill.
If g(x) is represented by this table:
x f(x)
−1 −6
0 −3
1 0
and we have a reasonable expectation that this is a linear function, then we can choose any 2 points and find the slope of the line connecting them. For example, we'll find the slope connecting (-1, -6) and (1,0).
0-(-6)
It is: m = ------------ = 3
1-(-1)
So the slopes of these 2 linear functions are not the same.
The equation of g(x) is y = 3x - 3. In the table, note that when x=0, y= -3.
The y-intercept -3 of g(x) is identical to the y-intercept -3 of f(x).
