5. Let f(x) = -x2 - 3x + 5. Find f(3). 6. Let g(x) = -2x + 5. Find g(x+3). %3D %3D For question #7-11, write an equation of the line with the given conditions. You may write your answer in y = mx + b or Ax + By = C form, or, in x a or y = b form, when applicable. %3D 7. Through (-3, 5); Slope =-2. 8. Through (5, –2); Slope = 0 9. Slope = ; y-intercept (0,-4) 10. Undefined slope; Through (5, 2) %3D 11. Parallel to 2x + 4y= 9; Through (6, 1)
5. Let f(x) = -x2 - 3x + 5. Find f(3). 6. Let g(x) = -2x + 5. Find g(x+3). %3D %3D For question #7-11, write an equation of the line with the given conditions. You may write your answer in y = mx + b or Ax + By = C form, or, in x a or y = b form, when applicable. %3D 7. Through (-3, 5); Slope =-2. 8. Through (5, –2); Slope = 0 9. Slope = ; y-intercept (0,-4) 10. Undefined slope; Through (5, 2) %3D 11. Parallel to 2x + 4y= 9; Through (6, 1)
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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can you please do 6-11 only? thank you
![On this educational website, we present the following transcription and detailed explanation for a mathematics worksheet:
---
## Mathematics Worksheet: Geometry and Algebra
### 1. Distance and Midpoint
Find (a) the distance \(d(P,Q)\) and (b) the coordinates of the midpoint \(M\) of line segment \(PQ\).
- Write the answer as a simplified radical.
\[ P(-3, 4) \quad Q(6, -2) \]
### 2. Right Triangle Verification
Determine whether the three points are vertices of a right triangle.
\[ P(-4, 3), \quad Q(2, 5), \quad R(1, -6) \]
### 3. Graphing Linear Equations
Graph by plotting points. Use \(x = 0, 2, -2\).
\[ y = \frac{1}{2}x + 3 \]
### 4. More Graphing of Linear Equations
Graph by plotting points. Use \(x = -2, -1, 2\).
\[ y = \sqrt{x + 2} \]
### 5. Function Evaluation
Let \(f(x) = -x^2 - 3x + 5\). Find \(f(3)\).
### 6. Another Function Evaluation
Let \(g(x) = -2x + 5\). Find \(g(x+3)\).
### Equation of a Line Problems (Questions 7-11)
For questions #7-11, write an equation of the line with the given conditions. You may write your answer in \( y = mx + b \) or \(Ax + By = C\) form, or, in \(x = a\) or \(y = b\) form, when applicable.
7. Through \((-3, 5)\); Slope \(= -2\).
8. Through \((5, -2)\); Slope \(= 0\).
9. Slope \(= \frac{2}{3}\); y-intercept \((0,-4)\).
10. Undefined slope; Through \((5, 2)\).
11. Parallel to \(2x + 4y = 9\); Through \((6, 1)\).
### 12. Additional Line Equation Problem
Find the slope, m, and y-intercept, b, of the following equation:](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa8f54919-3719-4a11-8884-2432a8f20fd9%2Fb1888f25-8a85-4178-93f7-8f760ea43afc%2Fmp0qvi.jpeg&w=3840&q=75)
Transcribed Image Text:On this educational website, we present the following transcription and detailed explanation for a mathematics worksheet:
---
## Mathematics Worksheet: Geometry and Algebra
### 1. Distance and Midpoint
Find (a) the distance \(d(P,Q)\) and (b) the coordinates of the midpoint \(M\) of line segment \(PQ\).
- Write the answer as a simplified radical.
\[ P(-3, 4) \quad Q(6, -2) \]
### 2. Right Triangle Verification
Determine whether the three points are vertices of a right triangle.
\[ P(-4, 3), \quad Q(2, 5), \quad R(1, -6) \]
### 3. Graphing Linear Equations
Graph by plotting points. Use \(x = 0, 2, -2\).
\[ y = \frac{1}{2}x + 3 \]
### 4. More Graphing of Linear Equations
Graph by plotting points. Use \(x = -2, -1, 2\).
\[ y = \sqrt{x + 2} \]
### 5. Function Evaluation
Let \(f(x) = -x^2 - 3x + 5\). Find \(f(3)\).
### 6. Another Function Evaluation
Let \(g(x) = -2x + 5\). Find \(g(x+3)\).
### Equation of a Line Problems (Questions 7-11)
For questions #7-11, write an equation of the line with the given conditions. You may write your answer in \( y = mx + b \) or \(Ax + By = C\) form, or, in \(x = a\) or \(y = b\) form, when applicable.
7. Through \((-3, 5)\); Slope \(= -2\).
8. Through \((5, -2)\); Slope \(= 0\).
9. Slope \(= \frac{2}{3}\); y-intercept \((0,-4)\).
10. Undefined slope; Through \((5, 2)\).
11. Parallel to \(2x + 4y = 9\); Through \((6, 1)\).
### 12. Additional Line Equation Problem
Find the slope, m, and y-intercept, b, of the following equation:
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