Answer: ![a^3+12a^2+14a+5](https://tex.z-dn.net/?f=a%5E3%2B12a%5E2%2B14a%2B5)
Step-by-step explanation:
![7a^3+14a+12+(-6a^3+12a^2-7)](https://tex.z-dn.net/?f=7a%5E3%2B14a%2B12%2B%28-6a%5E3%2B12a%5E2-7%29)
![7a^3+14a+12-6a^3+12a^2-7\\a^3+12a^2+14a+5](https://tex.z-dn.net/?f=7a%5E3%2B14a%2B12-6a%5E3%2B12a%5E2-7%5C%5Ca%5E3%2B12a%5E2%2B14a%2B5)
Answer:
![15.~f(g(2))=\Large\boxed{11}\\](https://tex.z-dn.net/?f=15.~f%28g%282%29%29%3D%5CLarge%5Cboxed%7B11%7D%5C%5C)
![16.~g(f(2.5))=\Large\boxed{16}](https://tex.z-dn.net/?f=16.~g%28f%282.5%29%29%3D%5CLarge%5Cboxed%7B16%7D)
![17.~g(f(-5))=\Large\boxed{1}](https://tex.z-dn.net/?f=17.~g%28f%28-5%29%29%3D%5CLarge%5Cboxed%7B1%7D)
![18.~f(g(-5))=\Large\boxed{-3}](https://tex.z-dn.net/?f=18.~f%28g%28-5%29%29%3D%5CLarge%5Cboxed%7B-3%7D)
Step-by-step explanation:
<h3>Given information</h3>
![f(x)=x+4](https://tex.z-dn.net/?f=f%28x%29%3Dx%2B4)
![g(x)=2x+3](https://tex.z-dn.net/?f=g%28x%29%3D2x%2B3)
<h3>Question 15. f(g(2))</h3>
<u>Substitute values into the first function</u>
![g(2)=2(2)+3](https://tex.z-dn.net/?f=g%282%29%3D2%282%29%2B3)
![g(2)=4+3](https://tex.z-dn.net/?f=g%282%29%3D4%2B3)
![g(2)=7](https://tex.z-dn.net/?f=g%282%29%3D7)
<u>Substitute the values of the first function into the second</u>
![f(g(2))=f(7)](https://tex.z-dn.net/?f=f%28g%282%29%29%3Df%287%29)
![f(7)=(7)+4](https://tex.z-dn.net/?f=f%287%29%3D%287%29%2B4)
![f(7)=\Large\boxed{11}](https://tex.z-dn.net/?f=f%287%29%3D%5CLarge%5Cboxed%7B11%7D)
<h3>Question 16. g(f(2.5))</h3>
<u>Substitute values into the first function</u>
![f(2.5)=(2.5)+4](https://tex.z-dn.net/?f=f%282.5%29%3D%282.5%29%2B4)
![f(2.5)=6.5](https://tex.z-dn.net/?f=f%282.5%29%3D6.5)
<u />
<u>Substitute the values of the first function into the second</u>
![g(f(2.5))=g(6.5)](https://tex.z-dn.net/?f=g%28f%282.5%29%29%3Dg%286.5%29)
![g(6.5)=2(6.5)+3](https://tex.z-dn.net/?f=g%286.5%29%3D2%286.5%29%2B3)
![g(6.5)=13+3](https://tex.z-dn.net/?f=g%286.5%29%3D13%2B3)
![g(6.5)=\Large\boxed{16}](https://tex.z-dn.net/?f=g%286.5%29%3D%5CLarge%5Cboxed%7B16%7D)
<h3>Question 17. g(f(-5))</h3>
<u>Substitute values into the first function</u>
![f(-5)=(-5)+4](https://tex.z-dn.net/?f=f%28-5%29%3D%28-5%29%2B4)
![f(-5)=-1](https://tex.z-dn.net/?f=f%28-5%29%3D-1)
<u>Substitute the values of the first function into the second</u>
![g(f(-5))=g(-1)](https://tex.z-dn.net/?f=g%28f%28-5%29%29%3Dg%28-1%29)
![g(-1)=2(-1)+3](https://tex.z-dn.net/?f=g%28-1%29%3D2%28-1%29%2B3)
![g(-1)=-2+3](https://tex.z-dn.net/?f=g%28-1%29%3D-2%2B3)
![g(-1)=\Large\boxed{1}](https://tex.z-dn.net/?f=g%28-1%29%3D%5CLarge%5Cboxed%7B1%7D)
<h3>Question 18. f(g(-5))</h3>
<u>Substitute values into the first function</u>
![g(-5)=2(-5)+3](https://tex.z-dn.net/?f=g%28-5%29%3D2%28-5%29%2B3)
![g(-5)=-10+3](https://tex.z-dn.net/?f=g%28-5%29%3D-10%2B3)
![g(-5)=-7](https://tex.z-dn.net/?f=g%28-5%29%3D-7)
<u>Substitute the values of the first function into the second</u>
![f(g(-5))=f(-7)](https://tex.z-dn.net/?f=f%28g%28-5%29%29%3Df%28-7%29)
![f(-7)=(-7)+4](https://tex.z-dn.net/?f=f%28-7%29%3D%28-7%29%2B4)
![f(-7)=\Large\boxed{-3}](https://tex.z-dn.net/?f=f%28-7%29%3D%5CLarge%5Cboxed%7B-3%7D)
Hope this helps!! :)
Please let me know if you have any questions
Answer:
Step-by-step explanation:
Given that for X the amount of credit card debt for U.S. adults under 35, is
having mean as 8724 dollars.
For this point estimate to be unbiased and most accurate we must ensure that
i) The sample represents the population
ii) Samples are drawn at random
iii) Sample sizes are sufficienly large.
Hence we see that C is not right as college students cannot represent the entire population. Tv poll cannot be said to be random since there may be a significant population who was not aware about this poll. A and B are right but B is better with more sample size.
Answer:
Area: 1,200 square centimeters. Perimeter: 140 centimeters.
Step-by-step explanation:
Since you have to multiply the length and width in order to find the area, multiply 30 and 40 together and you can find 1,200. Next, to find the perimeter you have to add all the lengths of the rectangular swimming pool, which will result in 140 centimeters.
Answer:
hurricane
Step-by-step explanation:
hope this helps :)