Question

Which equation matches the solution set of {5} ?

(1 point)
Responses

x + x - 9 = 1 + x
x + x - 9 = 1 + x

2x - 20 = 30
2x - 20 = 30

x2
- 10 = 15
x squared - 10 = 15

3x5 + 4 = 7
3x5 + 4 = 7
Question 2
6.

What is the value of p in the following equation?

20p−3 = 5

(1 point)
Responses

1
1

3
3

5
5

7
7
Question 3
7.

Which of the following equations has the solution set x = {−95, 3}
?

(1 point)
Responses

(x - 3)(9x + 5) = 0
(x - 3)(9x + 5) = 0

-3x(5x + 9) = 0
-3x(5x + 9) = 0

(x + 3)(9x - 5) = 0
(x + 3)(9x - 5) = 0

(x - 3)(5x + 9) = 0
(x - 3)(5x + 9) = 0
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Answer 1

Let's analyze each question one by one.

### Question 1:
Which equation matches the solution set of {5}?

We can solve each equation to see which one has 5 as the only solution.

1. **\(x + x - 9 = 1 + x\)**:
\[ 2x - 9 = 1 + x \]
\[ 2x - x = 1 + 9 \]
\[ x = 10 \] (not a match)

2. **\(2x - 20 = 30\)**:
\[ 2x = 50 \]
\[ x = 25 \] (not a match)

3. **\(x^2 - 10 = 15\)**:
\[ x^2 = 25 \]
\[ x = 5 \quad \text{or} \quad x = -5 \] (not a match, as it also includes -5)

4. **\(3x + 4 = 7\)**:
\[ 3x = 3 \]
\[ x = 1 \] (not a match)

None of the equations have {5} as the only solution.

### Question 2:
What is the value of p in the following equation?

**\(20p - 3 = 5\)**:
Add 3 to both sides:
\[ 20p = 8 \]
Divide by 20:
\[ p = \frac{8}{20} = \frac{2}{5} \]
None of the provided answers (1, 3, 5, 7) match \( \frac{2}{5} \).

### Question 3:
Which of the following equations has the solution set \(x = \{-95, 3\}\)?

1. **\((x - 3)(9x + 5) = 0\)**:
Solutions are \(x = 3\) and \(x = -\frac{5}{9}\) (not a match)

2. **\(-3x(5x + 9) = 0\)**:
Solutions are \(x = 0\) or \(x = -\frac{9}{5}\) (not a match)

3. **\((x + 3)(9x - 5) = 0\)**:
Solutions are \(x = -3\) and \(x = \frac{5}{9}\) (not a match)

4. **\((x - 3)(5x + 9) = 0\)**:
Solutions are \(x = 3\) and \(x = -\frac{9}{5}\) (not a match)

Based on the equations and their solutions, we have the results as:
- No equation in question 1 matched {5}.
- The solution to question 2 was not in the provided answers.
- Question 3 did not match the solution set of \([-95, 3]\) in any of the options.

Let me know if you would like to go over specific equations again or need further assistance!