Answer:
width = x+2
Step-by-step explanation:
area/length = width
(x^2+9x+14) / (x+7) =?
(x+7)(x+2) / (x+7) = x+2
Answer:
18
Step-by-step explanation:
Answer:
15,120 for the first question. 1,680 if one of the books is a must
Step-by-step explanation:
When Ron chooses his first book, he has 9 options. After that, when he chooses his second book, he only has 8 choices because he already picked one of them. By his third choice, he only has 7 choices and so on.
We can make an equation to represent this,
9 x 8 x 7 x 6 x 5
Multiplying all of that out gets you 15,120.
The second problem is even easier. Since one of the books is already chosen for him, he starts off only having 8 options. Since he is only choosing four books this time, we are only multiplying four numbers.
8 x 7 x 6 x 5
Multiplying all of that out tells you there are 1,680 ways he can make his selection in the second scenario.
Answer:
The value of x is about 2.206.
Step-by-step explanation:
Consider the given equation is

We need to find the value of x.
Using the properties of logarithm we get
![[\because \ln a^b=b\ln a]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20a%5Eb%3Db%5Cln%20a%5D)
![[\because \ln (ab)=\ln a+\ln b]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%20%28ab%29%3D%5Cln%20a%2B%5Cln%20b%5D)
![[\because \ln 1=0]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Cln%201%3D0%5D)
On comparing both sides we get
Using graphing calculator, the real solution of the above equation is

Therefore, the value of x is about 2.206.