Answer:
You did not give the options, so i just will graph it.
The inequality is:
-35 - 2*x + 1 < 11.
Now we would want to isolate the x in one side, so we can start by adding 35 in both sides.
(-35 -2*x + 1) + 35 < 11 + 35
-2x + 1 < 46
now we can subtract 1 in both sides:
-2x + 1 - 1 < 46 - 1
-2x < 45
Now we can divide by -2, remember that if we multiply or divide by a negative number, then the "direction" of the sign changes.
(-2x)/-2 > 45/-2
x > -22.5
Then the graph of the set is an open dot at the point x = -22.5 (this means that the set does not include this point) and a line that extends to the right. (Extends to the right because x is larger than -22.5)
Below is an example of how to draw the graph that represents the set of solutions.
A bag contains four red marbles, two Yellow Marbles and five blue marbles.
Two marbles are drawn at random without replacement.
Total number of marbles are,
There are 11 ways to select first marble and 10 ways to select second marble.
The total number of possible outcomes are calculated as,
Thus the total number of possible outcomes are 110.
Answer:
Step-by-step explanation:
The given line is in slope-intercept form,
y = mx + b,
where m is the slope.
The slope of the given line is 1/3, so m = 1/3.
Parallel lines have equal slopes, so the slope of the parallel line is also 1/3.
y = 1/3 x + b
Now we can find the equation of the parallel line through point (6, 3) by using the given point's coordinates for x and y and solving for b.
3 = (1/3)(6) + b
3 = 2 + b
b = 1
Equation: