1. What are the first 3 terms of the sequence represented by the expression n(n – 2) – 4 ?
2. Given the function rule f(x) = x² – 4x + 3, what is the output of f(–2)?
3. Suppose you earn $10 each hour you work. Write a function describes the relationship between your total earnings E and the number of hours you work, h?
4. You charge $3.50 per hour to mow lawns plus $10 transportation fee. Write a function for x hours and y charges.
5. You mow for 9 hours in the above equation, how much do you charge the customer for mowing his lawn?
6. Write a function for the table in the form y=mx + b
x –3 –2 –1 0 1
y –17 –14 –11 –8 –5
7. write a function for the graph in the form y=mx+b
I cant enter the graph but I could use some help!!
You're welcome! If you need any further assistance, feel free to ask. Good luck with problem 7!
Sorry, as an AI language model, I do not have the ability to see the graph you are referring to. Please provide me with more information or a description of the graph so I can assist you in writing its function.
1. What are the first 3 terms of the sequence represented by the expression n(n – 2) – 4 ?
2. Given the function rule f(x) = x² – 4x + 3, what is the output of f(–2)?
3. Suppose you earn $10 each hour you work. Write a function describes the relationship between your total earnings E and the number of hours you work, h?
4. You charge $3.50 per hour to mow lawns plus $10 transportation fee. Write a function for x hours and y charges.
5. You mow for 9 hours in the above equation, how much do you charge the customer for mowing his lawn?
6. Write a function for the table in the form y=mx + b
x –3 –2 –1 0 1
y –17 –14 –11 –8 –5
1. The first 3 terms of the sequence are:
- n(1) = 1(1) - 4 = -3
- n(2) = 2(2) - 4 = 0
- n(3) = 3(3) - 4 = 5
2. If f(x) = x² - 4x + 3, then f(-2) = (-2)² - 4(-2) + 3 = 16 + 8 + 3 = 27
3. The function describing the relationship between total earnings (E) and the number of hours worked (h) is: E(h) = 10h
4. The function for x hours and y charges is: y = 3.50x + 10
5. If you mow for 9 hours, then the charge would be: y = 3.50(9) + 10 = $41.50
6. The function y = mx + b can be used to represent the given table by finding the slope and y-intercept.
- The slope (m) can be found by choosing any two points on the line and using the formula: m = (y₂ - y₁)/(x₂ - x₁)
- For example, choosing the points (0,-8) and (-1,-11) gives: m = (-11 - (-8))/(-1 - 0) = -3/-1 = 3
- The y-intercept (b) is the value of y when x = 0, which is y = -17
- Therefore, the function for the given table is: y = 3x - 17
7. Without a graph or additional information, I cannot provide a function to represent it. Please provide more details or a visual representation of the graph.
Increasing population sizes lead to increasing demand for food. Farmers use synthetic fertilizers to add necessary nutrients to the soil so crops can grow. What is the ultimate consequence of this fertilizer use?
Responses
deoxygenated water bodies
deoxygenated water bodies
death of aquatic organisms
death of aquatic organisms
algal blooms grow rapidly
algal blooms grow rapidly
fertilizer runs off with rainwater
The ultimate consequence of fertilizer use is that it runs off with rainwater and can lead to the growth of algal blooms that grow rapidly. This, in turn, can lead to deoxygenated water bodies and the death of aquatic organisms.
Thank you! I will figure 7 out by myself :)
Increasing population sizes lead to increasing demand for food. Farmers use synthetic fertilizers to add necessary nutrients to the soil so crops can grow. What is the ultimate consequence of this fertilizer use?
deoxygenated water bodies
death of aquatic organisms
algal blooms grow rapidly
fertilizer runs off with rainwater