Answer: I cheated and looked it up. It says parabola or basic parabola.
Dy/dx=25, 35, 45, 55
d2y/dx2=10,10,10 (this constant just proves that it is a quadratic relation)
Now we can set up a system of equations for ax^2+bx+c
16a+4b+c=80, 9a+3b+c=45, 4a+2b+c=20 getting differences
7a+b=35, 5a+b=25 and again
2a=10, a=5, making 7a+b=35 become:
7(5)+b-35, b=0, making 4a+2b+c=20 become:
4(5)+2(0)+c=20, c=0 so
y=5x^2
So the constant of variation for this quadratic is 5.
Answer: ![\bold{D.\ \bigg(-\infty, \dfrac{ln\ 4}{0.2}\bigg)}](https://tex.z-dn.net/?f=%5Cbold%7BD.%5C%20%5Cbigg%28-%5Cinfty%2C%20%5Cdfrac%7Bln%5C%204%7D%7B0.2%7D%5Cbigg%29%7D)
<u>Step-by-step explanation:</u>
![y=\dfrac{c}{1+ae^{-rx}}\qquad \text{where growth rate increases from}\ -\infty\ to\ \dfrac{ln\ a}{r}](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7Bc%7D%7B1%2Bae%5E%7B-rx%7D%7D%5Cqquad%20%5Ctext%7Bwhere%20growth%20rate%20increases%20from%7D%5C%20-%5Cinfty%5C%20to%5C%20%5Cdfrac%7Bln%5C%20a%7D%7Br%7D)
![f(x) = \dfrac{15}{1+4e^{-0.2x}}\qquad \rightarrow \qquad a=4, r=0.2](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Cdfrac%7B15%7D%7B1%2B4e%5E%7B-0.2x%7D%7D%5Cqquad%20%5Crightarrow%20%5Cqquad%20a%3D4%2C%20r%3D0.2)
![\text{So, the growth rate increases over the interval}\ \bigg(-\infty, \dfrac{ln\ 4}{0.2}\bigg)](https://tex.z-dn.net/?f=%5Ctext%7BSo%2C%20the%20growth%20rate%20increases%20over%20the%20interval%7D%5C%20%5Cbigg%28-%5Cinfty%2C%20%5Cdfrac%7Bln%5C%204%7D%7B0.2%7D%5Cbigg%29)
Answer:
No
Step-by-step explanation:
Multiply width (106) x length (19) = 2014. Tim needs 14 more flowers.
Answer:
0.5
Step-by-step explanation:
Total space in the parking lot = 10
number of cars parked = p
number of empty parking spaces = e
There are the same number of cars parked in the parking lot as there are empty parking spaces.
This means,
Number of parked cars = number of empty parking spaces
p = e
If the number of parked cars and number of empty parking spaces = 10
p + e = 10
If p = 5
Then,
p + e = 10
5 + 5 = 10
Write a decimal to show the part of the parking lot that has empty parking spaces.
Empty parking space/total parking space
= 5/10
= 1/2
= 0.5
part of the parking lot that has empty parking spaces = 0.5