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Kruka [31]
4 years ago
7

Find the smallest solution to $\frac{2}{3}x^2=24$

Mathematics
1 answer:
sergiy2304 [10]4 years ago
3 0

\frac{2}{3}  {x}^{2}  = 24 \\  {x}^{2}  =  \frac{72}{2} = 36  \\ x = 6

x=$6

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-6/8

Step-by-step explanation:

The rate of change is the same as the slope (I don't know if you have learned that term yet), but basically its the change in y's over the change in x's. to find this out, all you have to do is count from the point on the graph that is the farthest right (in this case, (6,1)), up to the y coordinate of the point farthest to the left (-2, 7) which is 6, and then count the number of spaces between the x coordinates, which is 8. put the rise (up and down count) over the run (horizontal count) in a fraction form, which gives you 6/8, and then notice how the line is pointing towards the bottom RIGHT hand corner making the line negative, so you need to make the rate of change negative, giving you the final answer of -6/8.  

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A company recently downsized its number of employees by 30​%. If there are still 70 ​employees, how many employees were there pr
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Hello there! Given there are 70 employees after downsizing by 30%, let x equal the number of employees prior to the layoffs:

70 would have to be 70% of x.

To find what 70 is 70% of, we can multiply by 100 because 100 is the base denominator:

70 • 100 = 7,000

Given this equation, we can now divide our result by 70 to get what the amount of employees before the layoffs is:

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Now, we can plug our answer in to see if it makes sense.

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Your final answer: There were 100 employees prior to the layoffs. If you have any extra questions, let me know and I will gladly assist you.
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