Based on the bar chart, the two categories that would fall under the 6 - 7 minutes required timeframe are 6 - 6.4 and 6.5 - 6.9. The bar for 6 - 6.4 says there were 25 people who ran within that timeframe, while that for 6.5 - 6.9 says there were 15 people under that. This adds up to a total of 25 + 15 = 40 people, which is choice C.
Answer:
would be the correct statement.
Step-by-step explanation:
As we know that
Average rate of change = Change in output / Change in input
= Δy / Δx
![=\frac{y_{2} -y_{1}}{x_{2} -x_{1}}](https://tex.z-dn.net/?f=%3D%5Cfrac%7By_%7B2%7D%20-y_%7B1%7D%7D%7Bx_%7B2%7D%20-x_%7B1%7D%7D)
![=\frac{g(x_{2})-g(x_{1})}{x_{2}-x_{1}}](https://tex.z-dn.net/?f=%3D%5Cfrac%7Bg%28x_%7B2%7D%29-g%28x_%7B1%7D%29%7D%7Bx_%7B2%7D-x_%7B1%7D%7D)
As the average rate of change of g(x) between x = 4 and x = 7 is 5/6.
so
![\:Average\:rate\:of\:change\:=\:\frac{g\left(7\right)-g\left(4\right)}{7-4}](https://tex.z-dn.net/?f=%5C%3AAverage%5C%3Arate%5C%3Aof%5C%3Achange%5C%3A%3D%5C%3A%5Cfrac%7Bg%5Cleft%287%5Cright%29-g%5Cleft%284%5Cright%29%7D%7B7-4%7D)
![\frac{5}{6}=\:\frac{g\left(7\right)-g\left(4\right)}{7-4}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D%3D%5C%3A%5Cfrac%7Bg%5Cleft%287%5Cright%29-g%5Cleft%284%5Cright%29%7D%7B7-4%7D)
Therefore,
would be the correct statement.
2^x = 32
x = 5
Hope this helps!
Answer:
2 and 3.
Step-by-step explanation:
2. and 3.
the total number of paintings depend upon the number of weeks that have passed as she adds 3 paintings every week to her collection.
1. can't be an option as output values depend upon the input values and hence not independent
4. can't be an option because each week that passes she adds 3 more paintings and since one input has 3 outputs, its not a function.
5. the number of weeks is the input value and number of paintings is the output value as you can later SEE how many paintings she has, not how many weeks it took her.
Answer:
(x, y) = (2, 2)
Step-by-step explanation:
The problem statement tells us ...
GK : GJ = 3/5 . . . . the given ratio
5(GK) = 3(GJ) . . . . multiply by 5(GJ)
5(K-G) = 3(J-G) . . . replace segment lengths with endpoint differences
5K -5G = 3J -3G . . . eliminate parentheses
5K = 3J +2G . . . . . add 5G
K = (3J +2G)/5 . . . . divide by 5
K = (3(6, 0) +2(-4, 5))/5 = (18 -8, 0+10)/5 . . . . substitute point coordinates
K = (2, 2)
The values of x and y are both 2.