Answer:
A, B, C
Step-by-step explanation:
Assuming the choices are:
A. 
B. 
C. A+
D. 
Put simply, a polynomial in this case will be a function that has at least one variable raised to a power greater than 1.
Choice A already has a variable raised to a power greater than 1 (
), so no additional manipulation is needed.
Choice B also has a term that is already raised to a power greater than 1 (
). It is the same for choice C ().
Choice D does not have an obvious variable raised to a power greater than 1. When the equation is manipulated it becomes 
. Since -1 is less than 1, choice D is not a polynomial.
Answer:
The maximum area that can be obtained by the garden is 128 meters squared.
Step-by-step explanation:
A represents area and we want to know the maximum.
is a parabola. To find the maximum of a parabola, you need to find it's vertex. The y-coordinate of the vertex will give us the maximum area.
To do this we will need to first find the x-coordinate of our vertex.
![x=\frac{-b}{2a}{/tex] will give us the x-coordinate of the vertex.Compare [tex]-2x^2+32x](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%7D%7B2a%7D%7B%2Ftex%5D%20will%20give%20us%20the%20x-coordinate%20of%20the%20vertex.%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3ECompare%20%5Btex%5D-2x%5E2%2B32x)
to 
then ![a=-2,b=32,c=0[tex].So the x-coordinate is [tex]\frac{-(32)}{2(-2)}=\frac{-32}{-4}=8](https://tex.z-dn.net/?f=a%3D-2%2Cb%3D32%2Cc%3D0%5Btex%5D.%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3ESo%20the%20x-coordinate%20is%20%5Btex%5D%5Cfrac%7B-%2832%29%7D%7B2%28-2%29%7D%3D%5Cfrac%7B-32%7D%7B-4%7D%3D8)
.
To find the y that corresponds use the equation that relates y and x.
The maximum area that can be obtained by the garden is 128 meters squared.
Answer:
x= 17,y = 8
Step-by-step explanation:
hope it helps
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Answer:
FV= $385,307.82
Step-by-step explanation:
Giving the following formula:
Annual salary (A)= $39,500
Growth rate (g)= 2% annual
Number of years (n)= 9 years
<u>To calculate the total amount earned over 9 years, we need to use the following formula:</u>
FV= {A*[(1+g)^n-1]}/g
A= annual deposit
FV= {39,500*[(1.02^9) - 1]} / 0.02
FV= $385,307.82
3.5 - 3.2 = 3.8 - 3.5 = 4.1 - 3.8 = 0.3 (common difference)
