Answer:
![y^3-8y^2+8y+5](https://tex.z-dn.net/?f=y%5E3-8y%5E2%2B8y%2B5)
Step-by-step explanation:
Take one polynomial from the other means to perform the sub.traction of them. Recall that it is better to use grouping symbols when subtracting polynomials, so we get the signs right when combining like terms:
The indicated subtraction is: ![y^3-6y^2+5y - (2y^2-3y-5)](https://tex.z-dn.net/?f=y%5E3-6y%5E2%2B5y%20-%20%282y%5E2-3y-5%29)
Make sure that before removing the grouping symbol (parenthesis) that is preceded by a negative sign, we change the signs of every term inside it. Then combine like terms to get the final answer:
![y^3-6y^2+5y - (2y^2-3y-5)=\\=y^3-6y^2+5y-2y^2+3y+5=\\=y^3-6y^2-2y^2+5y+3y+5=\\=y^3-8y^2+8y+5](https://tex.z-dn.net/?f=y%5E3-6y%5E2%2B5y%20-%20%282y%5E2-3y-5%29%3D%5C%5C%3Dy%5E3-6y%5E2%2B5y-2y%5E2%2B3y%2B5%3D%5C%5C%3Dy%5E3-6y%5E2-2y%5E2%2B5y%2B3y%2B5%3D%5C%5C%3Dy%5E3-8y%5E2%2B8y%2B5)
Which is the last option shown in the question
the maximum height is the y-value of the vertex.
h(x) = -2x² + 20x + 48
<em> a=-2, b=20, c=48</em>
![x = \frac{-b}{2a} = \frac{-20}{2(-2)} = \frac{-20}{-4} = 5](https://tex.z-dn.net/?f=x%20%3D%20%5Cfrac%7B-b%7D%7B2a%7D%20%3D%20%5Cfrac%7B-20%7D%7B2%28-2%29%7D%20%3D%20%5Cfrac%7B-20%7D%7B-4%7D%20%3D%205)
h(5) = -2(5)² + 20(5) + 48
= -50 + 100 + 48
= 50 + 48
= 98
Answer: 98 meters
The answer is 1 7/30 hope this helps
Answer:
C. 343.08
Step-by-step explanation:
Convert the tax rate into a decimal and multiply by the house price:
.023(179,000) = 4,117
Divide by 12 (to get monthly rate):
4,117/12 ≈ 343.08
Option C should be the correct answer.
Want it exact? Here it is:499.243083(got it from my calculator), if rounded, then here it is:500