Graph y > 1 – 3x.
can you help me solve it step by step pleases?

Step-by-step explanation:

1. You'll have to express the linear inequality into an equality statement (in slope-intercept form, y = mx + b) in order to graph. However, you'd have to use a dashed line because of the inequality symbol, ">"

                                                      y = – 3x + 1

2. Next, you'll have to choose two points to use for graphing. It's always safe to start with the y-intercept, (0, 1).

3. From there, you could use the slope (m = -3/1) and do the "rise over run" technique.

The only difference is going 3 units down (rise), and 1 unit to the right (run). You'll also go 3 units up (rise), 1 unit to the left (run). You need at least 2 points to create a line.

4. Once you create a line, you'll have to choose a test point to see which region of the plane you need to shade. Let's choose the point of origin, (0, 0).

5. Plug these values into the inequality statement to see if it satisfies the inequality:

                   y > 1 – 3x

                   0 > 1 – 3(0)

                   0 > 1 – 0

                   0 > 1 (False statement, because 0 is not greater than 1).

Therefore, you'll have to shade the region where it doesn't contain the point, (0, 0) (shade the right side of the region).

Attached is the screenshots of the graph I created. The first one shows how I did step #3, where I started with plotting the y-intercept, (0, 1) and used the slope to plot other points and create the line. The 2nd screenshot is the final graph, where it shows the shaded region.

Hope this helps :)

             

10/17 equals a very long decimal number.
You can either divide it until you get three digits after the decimal point and then round the number [i.e. 10/17 = 0.588 (but you round it) to equal 0.59]. Keep in mind that the actual decimal is going to be much longer if you keep dividing. Another way you could divide 10 by 17, would be if you did it like this: you write out 17 divided by 10, then you put a decimal point on the top, and bring down a zero, making it 17 divided by 100. Then you write 5 on front of the decimal point on the top and deduct 85 from 100 (17x5 = 85). Then you have a remainder of 15. Then you bring down another 0, (from the decimal) to make it 150. From 150 you will deduct 136 because that is the closest number, 17 goes into 150 8 times (8x17 = 136) and you have 14 left as remainder. Now you already have two digits on front of your decimal point, so you can just write 14/17 in fraction form on front of you two decimal digits >> 0.58 and 14/17 in fraction form. This is also a valid answer, and is simpler to solve then finding all the whole decimal, so I recommend using this method.