Answer: The height of the pennant is 3 feet.
Step-by-step explanation:
We know that the area of a triangle is given by:-
![\text{Area}=\dfrac{1}{2}\times\text{(Base)}\times\text{(Height)}](https://tex.z-dn.net/?f=%5Ctext%7BArea%7D%3D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%5Ctext%7B%28Base%29%7D%5Ctimes%5Ctext%7B%28Height%29%7D)
Given , The base of the triangular pennant is 1.5 feet long.
Area of pennant = 2.25 square feet
Substitute these values in the formula we get,
![2.25=\dfrac{1}{2}\times1.5\times\text{Height}\\\\\Rightarrow\ \text{Height}=\dfrac{2\times2.25}{1.5}\\\\\Rightarrow\ \text{Height}=3\text{ feet}](https://tex.z-dn.net/?f=2.25%3D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes1.5%5Ctimes%5Ctext%7BHeight%7D%5C%5C%5C%5C%5CRightarrow%5C%20%5Ctext%7BHeight%7D%3D%5Cdfrac%7B2%5Ctimes2.25%7D%7B1.5%7D%5C%5C%5C%5C%5CRightarrow%5C%20%5Ctext%7BHeight%7D%3D3%5Ctext%7B%20feet%7D)
Hence, the height of the pennant is 3 feet.
![f(x) = 2 {x}^{3}](https://tex.z-dn.net/?f=f%28x%29%20%3D%202%20%7Bx%7D%5E%7B3%7D%20)
![f(2) = 2 \times {2}^{3} = 2 \times 8 = 16](https://tex.z-dn.net/?f=f%282%29%20%3D%202%20%5Ctimes%20%20%7B2%7D%5E%7B3%7D%20%3D%202%20%5Ctimes%208%20%3D%2016%20)
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![g(x) = x - 3](https://tex.z-dn.net/?f=g%28x%29%20%3D%20x%20-%203)
![g(4) = 4 - 3 = 1](https://tex.z-dn.net/?f=g%284%29%20%3D%204%20-%203%20%3D%201)
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![(f + g)(x) = f(x) + g(x)](https://tex.z-dn.net/?f=%28f%20%2B%20g%29%28x%29%20%3D%20f%28x%29%20%2B%20g%28x%29%20)
![(f + g)(x) = 2 {x}^{3} + x - 3](https://tex.z-dn.net/?f=%28f%20%2B%20g%29%28x%29%20%3D%202%20%7Bx%7D%5E%7B3%7D%20%2B%20x%20-%203%20)
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Done...♥️♥️♥️♥️♥️
The answer to the question is B.14 because 3 + 5 + 6
Depends is the positive integer is larger than the negative interger for example -10+5=-5.
10+-4=6