1. 47
2. 70.4 ft per min
3. 13.33333333333333
Answer:
True
Step-by-step explanation:
![9x^2-12x +4 \\\\=(3x)^2 - 2\cdot 3x \cdot 2+2^2\\\\=(3x-2)^2](https://tex.z-dn.net/?f=9x%5E2-12x%20%2B4%20%5C%5C%5C%5C%3D%283x%29%5E2%20-%202%5Ccdot%203x%20%5Ccdot%202%2B2%5E2%5C%5C%5C%5C%3D%283x-2%29%5E2)
9514 1404 393
Answer:
- 0 ≤ m ≤ 7
- 0.4541 cm/month; average rate of growth over last 4 months of study
Step-by-step explanation:
<u>Part A</u>:
The study was concluded after 7 months. The fish cannot be expected to maintain exponential growth for any significant period beyond the observation period. A reasonable domain is ...
0 ≤ m ≤ 7
__
<u>Part B</u>:
The y-intercept is the value when m=0. It is the length of the fish at the start of the study.
__
<u>Part C</u>:
The average rate of change on the interval [3, 7] is given by ...
(f(7) -f(3))/(7 -3) = (4(1.08^7) -4(1.08^3))/4 = 1.08^3·(1.08^4 -1)
≈ 0.4541 cm/month
This is the average growth rate of the fish in cm per month over the period from 3 months to 7 months.
<em>Question:</em>
<em>Abraham has visited at least 50 countries; he plans to visit five new countries per year (Y) for the next several years. Which inequality and solution shows the amount of years they will take for Abraham to meet his goal.</em>
Answer:
![Countries \geq 50 + 5y](https://tex.z-dn.net/?f=Countries%20%5Cgeq%2050%20%2B%205y)
![y \leq 29](https://tex.z-dn.net/?f=y%20%5Cleq%2029)
Step-by-step explanation:
Given
------ at least
![Yearly =5](https://tex.z-dn.net/?f=Yearly%20%3D5)
Required
Represent as an inequality
"at least" means ![\geq](https://tex.z-dn.net/?f=%5Cgeq)
So the countries he has visited can be represented as thus;
![Countries \geq 50](https://tex.z-dn.net/?f=Countries%20%5Cgeq%2050)
If
1 year = 5 countries
y years would be 5y countries
So, in y years; he'd have visited
![Countries \geq 50 + 5y](https://tex.z-dn.net/?f=Countries%20%5Cgeq%2050%20%2B%205y)
To determine the value of y.
We have that
<em>in the world</em>
<em>Substitute 195 for Countries</em>
![195 \geq 50 + 5y](https://tex.z-dn.net/?f=195%20%5Cgeq%2050%20%2B%205y)
<em>Collect Like Terms</em>
![195 - 50 \geq 5y](https://tex.z-dn.net/?f=195%20-%2050%20%5Cgeq%205y)
![145 \geq 5y](https://tex.z-dn.net/?f=145%20%5Cgeq%205y)
<em>Divide through by 5</em>
![145/5 \geq y](https://tex.z-dn.net/?f=145%2F5%20%5Cgeq%20y)
![29 \geq y](https://tex.z-dn.net/?f=29%20%5Cgeq%20y)
<em>Reorder</em>
![y \leq 29](https://tex.z-dn.net/?f=y%20%5Cleq%2029)
This means that; he'll visit all countries in at most 29 years' time
Answer:
I guess its the first one
Step-by-step explanation:
I think they're asking which one doesn't look like a regular shape. Tbh I have no idea