You want to isolate the x-term from the constant term, so you can subtract x/3 and add 10. This gives you
... 4/9x -10 -x/3 +10 > x/3 -12 -x/3 +10
... 1/9x > -2 . . . . . . collect terms
Now, you can multiply by 9 to see the condition on x.
... 9(1/9x) > -2(9)
... x > -18
On the x-y plane, the graph of this will be a dashed line at x=-18, and the half-plane to the right of that line will be shaded.
On a number line, there will be an open circle at x=-18, and the number line to the right of that circle will be marked (bold, colored, shaded, whatever).
Since the manufacturing company is expected to have a lower output by 8.4%, the output in 2016 will only be 91.6%. Given also that their output in 2006 is 1.8 billion dollars, we multiply this value by the decimal equivalent of 91.6% to determine the answer. That is,
projected output in 2016 = ($1.8 B) x (0.916)
= $1.6488 B
Thus, the expected output in 2016 is approximately $1.6488 B.
Answer:
U.S. Currency
Step-by-step explanation:
I'm assuming you're referring to problem 6. You are asked to find the number of x intercepts or roots, which is another term for "zero". I prefer the term root or x intercept as "zero" seems misleading. Anyways, all we do is count the number of times the graph crosses the x axis. This happens 4 times as shown in the attached image below. I have marked these points in red. The graph can directly cross over the x axis, or it can touch the x axis and then bounce back. Either way, it is considered an x intercept.
<h3>Answer: there are 4 x intercepts (or 4 roots)</h3>
Answer:
9 inches.
Step-by-step explanation:
The formula for the volume of a rectangular prism is base x height. So if the volume is 378, and the base is 42, you would use the equation 378/42 to find the height. 378/42 is 9. Therefore, the height is 9 inches.
