Answer:
A
Step-by-step explanation:
using common sense you can see that the angle of c is obtuse and it would need to be smaller than angles a and b
The parabola is looking down, so it can be A. or D.
The colored area is inside the parabola, that means that values of y inside the parabola is less than values of y of the parabola.
So,
the answer is D. f(x)< -x²+x-1
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![7d + d - 4d - 7 = 5d](https://tex.z-dn.net/?f=7d%20%2B%20d%20-%204d%20-%207%20%3D%205d)
![8d - 4d - 7 = 5d](https://tex.z-dn.net/?f=8d%20-%204d%20-%207%20%3D%205d)
![4d - 7 = 5d](https://tex.z-dn.net/?f=4d%20-%207%20%3D%205d)
![5d = 4d - 7](https://tex.z-dn.net/?f=5d%20%3D%204d%20-%207)
Subtract sides 4d
![- 4d + 5d = - 4d + 4d - 7](https://tex.z-dn.net/?f=%20-%204d%20%2B%205d%20%3D%20%20-%204d%20%2B%204d%20-%207)
![d = - 7](https://tex.z-dn.net/?f=d%20%3D%20%20-%207)
Thus the correct answer is Option three.
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Answer:
(41/12)g+-23/12
Step-by-step explanation:
3(5g−1)
/4 - (2g+7)/6
(15g-3)/4 - (2g+7)/6---> distributive property
3(15g-3)/12 - 2(2g+7)/12--->make the denominators same
(45g-9)/12 - (4g+14)/12---distributive property
Combining the like-terms, the result of the addition of polynomials f(x) and g(x) is given by:
![f(x) + g(x) = 21x^3 + \frac{5}{4}x^{\frac{1}{2}} + 19x^{-\frac{1}{4}} + 8x^{-4}](https://tex.z-dn.net/?f=f%28x%29%20%2B%20g%28x%29%20%3D%2021x%5E3%20%2B%20%5Cfrac%7B5%7D%7B4%7Dx%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%20%2B%2019x%5E%7B-%5Cfrac%7B1%7D%7B4%7D%7D%20%2B%208x%5E%7B-4%7D)
<h3>How do we add polynomials?</h3>
We add polynomials combining the like-terms, that is, adding terms with the same exponent.
In this problem, the polynomials are:
Combining the like terms, the addition is given by:
![f(x) + g(x) = \left(3 - \frac{7}{4}\right)x^{\frac{1}{2}} + (7 + 12)x^{-\frac{1}{4}} + 8x^{-4} + 21x^3](https://tex.z-dn.net/?f=f%28x%29%20%2B%20g%28x%29%20%3D%20%5Cleft%283%20-%20%5Cfrac%7B7%7D%7B4%7D%5Cright%29x%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%20%2B%20%287%20%2B%2012%29x%5E%7B-%5Cfrac%7B1%7D%7B4%7D%7D%20%2B%208x%5E%7B-4%7D%20%2B%2021x%5E3)
![f(x) + g(x) = 21x^3 + \frac{5}{4}x^{\frac{1}{2}} + 19x^{-\frac{1}{4}} + 8x^{-4}](https://tex.z-dn.net/?f=f%28x%29%20%2B%20g%28x%29%20%3D%2021x%5E3%20%2B%20%5Cfrac%7B5%7D%7B4%7Dx%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%20%2B%2019x%5E%7B-%5Cfrac%7B1%7D%7B4%7D%7D%20%2B%208x%5E%7B-4%7D)
More can be learned about addition of polynomials at brainly.com/question/9438778
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