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Evaluating Functions and Systems of Linear Equations and Inequalities

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(See attached file for full problem description)
1. Graph f(x) = -2x + 2.

2. Rewrite the equation -x - 10y = 50 as a function of x.

3. Given f(x) = 5x2 - 3x + 1, find f(-2).
A) -13
B) 15
C) -25
D) 27

4. Given f(x) = 4x - 5, find f(a - 1).
A) 4a - 9
B) 4a - 6
C) a - 2
D) a - 9

5. Graph the inequality.
2x + 3y > 6

6. Are the following lines parallel, perpendicular, or neither?
L1 with equation x - 6y = 30
L2 with equation 6x + y = 6
A) Parallel
B) Perpendicular
C) Neither

7. Given g(x) = 4x - 3, find g(3a).

8. Graph the inequality.
x &#61502; 2

9. Given f(x) = x2 - x + 7, find f(0).

10. Given f(x) = 4x + 4, find f(0).

1. Solve the system by addition.
5x - 3y = 13
4x - 3y = 11

2. The sum of two numbers is 90. The second is 10 more than 4 times the first. What are the two numbers?

3. Solve the system by graphing.
x + y = 4
-x + y = 2

4. Solve the following system of linear inequalities by graphing.
x - y &#61603; 3
x + 2y &#61619; 6

5. Solve the system by addition or substitution.
3x + 6y = 0
x =

6. Adult tickets for a play cost \$17 and child tickets cost \$8. If there were 24 people at a performance and the theater collected \$363 from ticket sales, how many children attended the play?
A) 4 children
B) 5 children
C) 6 children
D) 19 children
7. Solve the following system of linear inequalities by graphing.
3x + 4y &#61603; 12
x + 3y &#61603; 6
x &#61619; 0
y &#61619; 0
A)
B)
C)
D)

9. Solve the system by graphing.
2x + y = 4
x + y = 3

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Evaluating Functions and Systems of Linear Equations and Inequalities are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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(See attached file for full problem description)
1. Graph f(x) = -2x + 2.

2. Rewrite the equation -x - 10y = 50 as a function of x.

As -x - 10y = 50, we get
y= -0.1x-5

3. Given f(x) = 5x2 - 3x + 1, find f(-2).
A) -13
B) 15
C) -25
D) 27

As , (D) is the answer.

4. Given f(x) = 4x - 5, find f(a - 1).
A) 4a - 9
B) 4a - 6
C) a - 2
D) a - 9

As , (A) is the answer.

5. Graph the inequality.
2x + 3y > 6

6. Are the following lines parallel, perpendicular, or neither?
L1 with equation x - 6y = 30
L2 with equation 6x + y = 6
A) Parallel
B) Perpendicular
C) Neither
As ...

Solution provided by:
Education
• BSc , Wuhan Univ. China
• MA, Shandong Univ.
Recent Feedback
• "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
• "excellent work"
• "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
• "Thank you"
• "Thank you very much for your valuable time and assistance!"

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