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.
265 is the number when multiplied by 9 will give you 2385.
This can be obtained by dividing 2385 by 9.
8x > x = 0.5
8(0.5) = 4 is the answer
Answer:
B. 13.3
Step-by-step explanation:
Given:
AM = 6
MB = 4
AN = 8
Since ∆ABC ~ ∆AMN, therefore:
AB/AM = AC/AN
AB = AM + MB = 6 + 4 = 10
AC = AN + NC = 8 + NC
Plug in the values into the equation
10/6 = (8 + NC)/8
5/3 = (8 + NC)/8
Cross multiply
8*5 = 3(8 + NC)
40 = 24 + 3NC
40 - 24 = 3NC
16 = 3NC
Divide both sides by 3
5.3 = NC
NC = 5.3
✅AC = 8 + NC
Plug in the value of NC
AC = 8 + 5.3
AC = 13.3
A=4-3b
subtract 4 from both sides
a-4=-3b
divide by -3 for both sides
(a-4)/-3 = b