PLEASE HELP ASAP!!!!!!1.) let f (x) = x2 + 5x + 4. so... f(3x-5)= ?2.) Use the graph that is pictured: find the domain and range of f 3.) use the other picture of the tables: which of the tables could represent a linear function? For each that could be linear, find a linear equation that models the data.4.)A town’s population has been growing linearly. In 2008, the population was 120,000, and the popu- lation has been growing by 3,400 people each year. Write an equation, P(t), for the population t years after 2008.5.) Use the previous promt to answer^-Predict the population in 2019. as well as ->Identify the year in which the population will reach 80,0006.)find a linear functions that satisfies the following properties: f(−1) = 4, f(3) = −2 as well as ->Passing through (4,−1) and (1,3).7.)When a ball is tossed into the air, the height h is feet of the ball t seconds from the time that the ball is released is given by the formulah(x)=−16t2+80t+4.Determine the maximum height of the ball and the time that the ball will obtain that heigh8.)The profit P in dollars earned on the produc- tion and sale of USB drives with a sale price of x dollars per drive is given by the formulaP(x)=−1.2x2+288x−30, 10≤x≤180.Find the price that maximizes the profit, and find the maximum profit. This image shows a piecewise linear graph plotted on a coordinate plane.### Description of the Graph:- **Axes**: The graph includes an x-axis and a y-axis intersecting at the origin (0, 0). Both axes are labeled with numbers from -7 to 7.- **Data Points and Lines**: - The graph consists of three line segments connecting four data points: 1. From (-4, 5) to (-2, 5), the line is horizontal. 2. From (-2, 5) to (2, 1), the line slopes downward. 3. From (2, 1) to (5, 6), the line slopes upward. - **Data Points**: - (-4, 5): Represented by an open circle, indicating it is not included in the segment. - (-2, 5): Represented by a closed circle, indicating it is included. - (2, 1): Represented by a closed circle, indicating it is included. - (5, 6): Represented by an open circle, indicating it is not included. - **Details on Open and Closed Points**: - **Closed Circles**: Points marked with closed circles indicate that the point is part of the line segment. - **Open Circles**: Points marked with open circles indicate that the corresponding endpoint is not part of that segment, typically representing or hinting at domain restrictions.This graph is an excellent demonstration of piecewise linear functions, showcasing intervals where the function is constant, decreases, and increases, marked clearly by the transitions at each segment endpoint. ### Table 9:| $ x $ | 0 | 2 | 4 | 6 ||---------|---|---|----|----|| $ h(x) $ | 10 | 4 | $-2$ | $-8$ |- **Explanation:** This table represents a function $ h(x) $. The table provides values of $ h(x) $ corresponding to specific values of $ x $.### Table 10:| $ x $ | 0 | 2 | 4 | 6 ||---------|---|---|----|----|| $ g(x) $ | $-4$ | 0 | 12 | 32 |- **Explanation:** This table represents a function $ g(x) $. The table provides values of $ g(x) $ corresponding to specific values of $ x $.These tables outline two different functions through discrete data points, which can be visualized graphically to analyze behavior such as trends and changes.

“Since you have asked multiple question, we will solve the first question for you. If you want any specific question to be solved then please specify the question number or post only that question.” Question 1 Given, f(x) = x2 + 5x + 4 So, we have to find f(3x-5) = ? Substituting x = 3x -5 in the f(x) = x2 + 5x + 4 f(3x-5) = (3x-5)2 + 5(3x-5) + 4 = 9x2 + 25 - 30x + 15x -25 + 4 = 9x2 -15x + 4 So, f(3x-5) = 9x2 -15x + 4 Answer

Answered: PLEASE HELP ASAP!!!!!! 1.) let f (x) =…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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PLEASE HELP ASAP!!!!!!

1.) let f (x) = x2 + 5x + 4. so... f(3x-5)= ?

2.) Use the graph that is pictured: find the domain and range of f

3.) use the other picture of the tables: which of the tables could represent a linear function? For each that could be linear, find a linear equation that models the data.

4.)A town’s population has been growing linearly. In 2008, the population was 120,000, and the popu- lation has been growing by 3,400 people each year. Write an equation, P(t), for the population t years after 2008.

5.) Use the previous promt to answer^-Predict the population in 2019. as well as ->Identify the year in which the population will reach 80,000

6.)find a linear functions that satisfies the following properties: f(−1) = 4, f(3) = −2 as well as ->Passing through (4,−1) and (1,3).

7.)When a ball is tossed into the air, the height h is feet of the ball t seconds from the time that the ball is released is given by the formula

h(x)=−16t2+80t+4.

Determine the maximum height of the ball and the time that the ball will obtain that heigh

8.)The profit P in dollars earned on the produc- tion and sale of USB drives with a sale price of x dollars per drive is given by the formula

P(x)=−1.2x2+288x−30, 10≤x≤180.

Find the price that maximizes the profit, and find the maximum profit.

This image shows a piecewise linear graph plotted on a coordinate plane.

### Description of the Graph:

- **Axes**: The graph includes an x-axis and a y-axis intersecting at the origin (0, 0). Both axes are labeled with numbers from -7 to 7.

- **Data Points and Lines**:
- The graph consists of three line segments connecting four data points:
1. From (-4, 5) to (-2, 5), the line is horizontal.
2. From (-2, 5) to (2, 1), the line slopes downward.
3. From (2, 1) to (5, 6), the line slopes upward.

- **Data Points**:
- (-4, 5): Represented by an open circle, indicating it is not included in the segment.
- (-2, 5): Represented by a closed circle, indicating it is included.
- (2, 1): Represented by a closed circle, indicating it is included.
- (5, 6): Represented by an open circle, indicating it is not included.

- **Details on Open and Closed Points**:
- **Closed Circles**: Points marked with closed circles indicate that the point is part of the line segment.
- **Open Circles**: Points marked with open circles indicate that the corresponding endpoint is not part of that segment, typically representing or hinting at domain restrictions.

This graph is an excellent demonstration of piecewise linear functions, showcasing intervals where the function is constant, decreases, and increases, marked clearly by the transitions at each segment endpoint.

### Table 9:

| $ x $ | 0 | 2 | 4 | 6 |
|---------|---|---|----|----|
| $ h(x) $ | 10 | 4 | $-2$ | $-8$ |

- **Explanation:** This table represents a function $ h(x) $. The table provides values of $ h(x) $ corresponding to specific values of $ x $.

### Table 10:

| $ x $ | 0 | 2 | 4 | 6 |
|---------|---|---|----|----|
| $ g(x) $ | $-4$ | 0 | 12 | 32 |

- **Explanation:** This table represents a function $ g(x) $. The table provides values of $ g(x) $ corresponding to specific values of $ x $.

These tables outline two different functions through discrete data points, which can be visualized graphically to analyze behavior such as trends and changes.

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PLEASE HELP ASAP!!!!!! 1.) let f (x) = x2 + 5x + 4. so... f(3x-5)= ?