Answer: x≤ -0.5
Step-by-step explanation: Graph the two lines or solve for x:
2x – 6 ≥ 6(x – 2) + 8
2x – 6 ≥ 6x – 12 + 8
2x – 6 ≥ 6x – 4
-4x ≥ 2
x ≤ -1/2 [Inequality is reversed when multiplying or dividing by a negative number]
The number line is anything less than or equal to - 1/2
Or one can plot each side of the inequality and note the interception point (x = -(1/2)).
Answer:
Step-by-step explanation:
g(-7) = -7 + 2 = -5
If Gail practises swimming for 1 and 1/4 hours a day, then in a week she'll do:
1 1/4 * 7 = 5/4 * 7 = 35/4 = 8 3/4 [hours]
In other words she'll practice 8 hours and 45 minutes a week (assuming that she's still practicing on weekends).
Answer:
200
Step-by-step explanation:
if x is the original number:

Answer:
True, r represents the distance from a point to the pole when plotting that point in polar coordinates.
Step-by-step explanation:
Given: The statement '' The value of r represents the distance from a point to the pole when plotting that point in polar coordinates ''
To state: whether the given statement is true or false
Solution:
In the cartesian coordinate system, any point is represented by the coordinates 
In polar-coordinates system, distance of the point from the origin (pole)(r) and the angle
that the line joining the point to the origin makes with the positive x
-axis are used as polar coordinates. Polar coordinates are of form 
True, r represents the distance from a point to the pole when plotting that point in polar coordinates.