Answer:
![\displaystyle 702](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20702)
Step-by-step explanation:
we are given a exponential function
![\displaystyle f(x) = {3}^{x + 1} - 22](https://tex.z-dn.net/?f=%20%20%5Cdisplaystyle%20f%28x%29%20%3D%20%20%7B3%7D%5E%7Bx%20%2B%201%7D%20%20-%2022)
where x represents the number and f(x) represents the amount
we are also given that when x is 3 then f(x) is 59 likewise when x is 6 then f(x) is 2165
to figure out the average rate of change between 3 and 6 we can consider the average rate of change formula given by
![\displaystyle m = \frac{ f(x)_ {2} - f(x)_{1} }{ x_{2} - x_{1} }](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20m%20%3D%20%20%5Cfrac%7B%20f%28x%29_%20%7B2%7D%20-%20%20f%28x%29_%7B1%7D%20%7D%7B%20x_%7B2%7D%20-%20%20x_%7B1%7D%20%7D%20)
substitute what we have:
![\displaystyle m = \frac{ 2165 - 59 }{6 - 3 }](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20m%20%3D%20%20%5Cfrac%7B%202165%20-%20%2059%20%7D%7B6%20-%203%20%7D%20)
simplify substitution:
![\displaystyle m = \frac{2106 }{3 }](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20m%20%3D%20%20%5Cfrac%7B2106%20%7D%7B3%20%7D%20)
simplify division:
![\displaystyle m = 702](https://tex.z-dn.net/?f=%20%5Cdisplaystyle%20m%20%3D%20%20702)
hence, the average rate of change between 3 and 6 is <u>7</u><u>0</u><u>2</u>
Hello.
-7h + 2(-4h + 5) > -4h + 1 + 10 ; solve for h
Our first step is to get rid of all the parenthesis. We can do this by simplifying everything out.
-7h - 8h + 10 > -4h + 11
Add like terms.
-15h + 10 > -4h + 11
Now, we must isolate our variables. We do this by moving all variables to one side and moving our other numbers to the other.
Subtract 10 from both sides. Then, add 4h to both sides.
-15h + 4h > 11 - 10
Simplify.
-h > 1
Divide both sides by -1.
However, keep in mind that when dividing with a negative, you must change the sign. Therefore, > turns into <
-h ÷ -1 < 1 ÷ -1
h < -1
Answer:
60 = 60
Step-by-step explanation:
Just try it tell me if its correct I worked it out tho im pretty good with math
1) this is simply solving it, so if you divide 16 by 3, you end up getting 5 1/3
2) 3 1/2, by multiplying 7 by 1/2
3) 224, by multiplying 14 by 16
4) 54 mph, by dividing 324 by 6
5) blue, because only the 1/4 ribbon color would be collected after 3/4 mile
6) 7/8 - 3/8 equals 4/8, or 1/2 when simplified