2(x+3) greater than 5x+12
2 answers:
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Answer:
- the pattern is (hundreds, tens, ones)
- 963 thousand 104
Step-by-step explanation:
a) Each place in our decimal place-value number system has a name. In the number 356,039, the left-most digit 3 is in the hundred-thousands place, so it is read (by itself) as "three hundred thousand." Together, the digits 356 of that number signify three hundred fifty-six thousand. They are said to be in the "thousands period." Each period of three digits will be grouped like that to specify the number of hundreds, tens, and ones in the period.
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b) The given expanded form adds up to give ...
963,104
Based on the above discussion, the name of this number is ...
"nine hundred sixty-three thousand one hundred four"
Using digits to help write this, it would be 963 thousand 104.
Step-by-step explanation:
x + y ≤ 6
You'll have to express the linear inequality into an equality statement (in slope-intercept form, y = mx + b) in order to graph. You'll have to use a solid line because of the "≤ " symbol.
y = - x + 6
Next, you'll have to choose two points to use for graphing. It's always safe to start with the y-intercept, (0, 6).
From there, you could use the slope (m = -1) and do the "rise over run" technique to plot your next point. Going up 1, left 1 will get you to (-1, 7); going down 1 right 1 will get you to point (1, 5). Connect your points and create a straight line.
Next, to determine which region to shade, you must choose a convenient test point (that's not on the line) to see whether the given test point will satisfy the inequality statement.
Let's choose the point of origin, (0, 0), and plug its values into the inequality statement:
x + y ≤ 6
0 + 0 ≤ 6
0 ≤ 6 (True statement). This means that you should shade the half-plane region where the test point is located (left side of the plane).
The first screenshot shows how I created the lines by plotting the first three points. The second screenshot shows the actual graph with the shaded region.
Please mark my answer as the Brainliest if you find this explanation helpful :)
