Answer:
4/9 is bigger
Step-by-step explanation:
For the 1st fraction, since 9 × 4 = 36,
4/9 = 4 × 4
9 × 4 = 16/36
Likewise, for the 2nd fraction, since 36 × 1 = 36,
7/36= 7 × 1
36 × 1 = 7/36
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
16/36> 7/36 or 4/9 > 7/36
I believe the probability is 1/2
We're looking for
such that
![\dfrac{9x-20}{(x+6)^2}=\dfrac a{x+6}+\dfrac b{(x+6)^2}](https://tex.z-dn.net/?f=%5Cdfrac%7B9x-20%7D%7B%28x%2B6%29%5E2%7D%3D%5Cdfrac%20a%7Bx%2B6%7D%2B%5Cdfrac%20b%7B%28x%2B6%29%5E2%7D)
Multiplying both sides by
gives us
![9x-20=a(x+6)+b](https://tex.z-dn.net/?f=9x-20%3Da%28x%2B6%29%2Bb)
Notice that when
, the term involving
vanishes and we're left with
![9(-6)-20=b\implies b=-74](https://tex.z-dn.net/?f=9%28-6%29-20%3Db%5Cimplies%20b%3D-74)
Then
![9x-20=a(x+6)-74=ax+6a-74\implies a=9](https://tex.z-dn.net/?f=9x-20%3Da%28x%2B6%29-74%3Dax%2B6a-74%5Cimplies%20a%3D9)
so that
![\dfrac{9x-20}{(x+6)^2}=\boxed{\dfrac9{x+6}-\dfrac{74}{(x+6)^2}}](https://tex.z-dn.net/?f=%5Cdfrac%7B9x-20%7D%7B%28x%2B6%29%5E2%7D%3D%5Cboxed%7B%5Cdfrac9%7Bx%2B6%7D-%5Cdfrac%7B74%7D%7B%28x%2B6%29%5E2%7D%7D)
Answer:
maximum height is 80 feet
8 seconds until it hits ground
Step-by-step explanation:
-5t(t - 8) = 0
-5t= 0; t = 0 (this represents the beginning of the throw)
t-8=0; t = 8 (this represents the end of the throw)
To find maximum height, find the vertex of the graph,
you can use -b/2a to find 't' and then substitute that value back into the function to find h(t)
x = -40÷2(-5)
x = -40/-10
x = 4
h(4) = -5(4²)+40(4)
h(4) = -5(16) + 160 which is 160 - 80 = 80
Are there answers? I would love to help more :)