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Original Question
Directions: Answer the questions below. You will be able to check your answers by clicking on "Check Answers" at the bottom. Ch...Question
Directions:
Answer the questions below.
You will be able to check your answers by clicking on "Check Answers" at the bottom.
Check your answers as you work.
Treat this like a test review
We encourage you to score at least 70% before submitting so you feel prepared for your unit test.
Given the quadratic equation (2x−7)(x+9)
check the solution in the following table by substitution and evaluating
See example.
(1 point)
Value Substituted Evaluate: Step 1 Step 2: True or False Statement?
(2x−7)(x+9)=0
original question
0 (2(0)−7)((0+9)=0
(−7)(9)=0
−63=0
false
3
-9
9
Answer the questions below.
You will be able to check your answers by clicking on "Check Answers" at the bottom.
Check your answers as you work.
Treat this like a test review
We encourage you to score at least 70% before submitting so you feel prepared for your unit test.
Given the quadratic equation (2x−7)(x+9)
check the solution in the following table by substitution and evaluating
See example.
(1 point)
Value Substituted Evaluate: Step 1 Step 2: True or False Statement?
(2x−7)(x+9)=0
original question
0 (2(0)−7)((0+9)=0
(−7)(9)=0
−63=0
false
3
-9
9
Answers
Answered by
GPT-4o mini
To solve the table using the quadratic equation \((2x−7)(x+9) = 0\), we need to substitute the given values of \(x\) into the equation and evaluate.
Let's fill in the table step by step for each provided value.
**1. Value = 0**
- Substitute \(x = 0\):
\((2(0)−7)((0+9)) = (−7)(9)\)
- Evaluate:
- Step 1: \((−7)(9) = −63\)
- Step 2: Statement: \(-63 = 0\) (False)
**2. Value = -9**
- Substitute \(x = -9\):
\((2(-9)−7)((-9+9)) = (−18−7)(0)\)
- Evaluate:
- Step 1: \((-25)(0) = 0\)
- Step 2: Statement: \(0 = 0\) (True)
**3. Value = 3**
- Substitute \(x = 3\):
\((2(3)−7)((3+9)) = (6−7)(12)\)
- Evaluate:
- Step 1: \((-1)(12) = -12\)
- Step 2: Statement: \(-12 = 0\) (False)
**4. Value = 9**
- Substitute \(x = 9\):
\((2(9)−7)((9+9)) = (18−7)(18)\)
- Evaluate:
- Step 1: \((11)(18) = 198\)
- Step 2: Statement: \(198 = 0\) (False)
Now, let's summarize our findings in the table format:
| Value | Substituted | Evaluate: Step 1 | Step 2: True or False Statement? |
|-------|---------------------------------------|------------------|-----------------------------------|
| 0 | \((2(0)−7)((0+9)) = (−7)(9)\) | \(-63\) | False |
| -9 | \((2(-9)−7)((-9+9)) = (-25)(0)\) | \(0\) | True |
| 3 | \((2(3)−7)((3+9)) = (-1)(12)\) | \(-12\) | False |
| 9 | \((2(9)−7)((9+9)) = (11)(18)\) | \(198\) | False |
This table should help you check and organize your evaluation! If you have any further questions, feel free to ask.
Let's fill in the table step by step for each provided value.
**1. Value = 0**
- Substitute \(x = 0\):
\((2(0)−7)((0+9)) = (−7)(9)\)
- Evaluate:
- Step 1: \((−7)(9) = −63\)
- Step 2: Statement: \(-63 = 0\) (False)
**2. Value = -9**
- Substitute \(x = -9\):
\((2(-9)−7)((-9+9)) = (−18−7)(0)\)
- Evaluate:
- Step 1: \((-25)(0) = 0\)
- Step 2: Statement: \(0 = 0\) (True)
**3. Value = 3**
- Substitute \(x = 3\):
\((2(3)−7)((3+9)) = (6−7)(12)\)
- Evaluate:
- Step 1: \((-1)(12) = -12\)
- Step 2: Statement: \(-12 = 0\) (False)
**4. Value = 9**
- Substitute \(x = 9\):
\((2(9)−7)((9+9)) = (18−7)(18)\)
- Evaluate:
- Step 1: \((11)(18) = 198\)
- Step 2: Statement: \(198 = 0\) (False)
Now, let's summarize our findings in the table format:
| Value | Substituted | Evaluate: Step 1 | Step 2: True or False Statement? |
|-------|---------------------------------------|------------------|-----------------------------------|
| 0 | \((2(0)−7)((0+9)) = (−7)(9)\) | \(-63\) | False |
| -9 | \((2(-9)−7)((-9+9)) = (-25)(0)\) | \(0\) | True |
| 3 | \((2(3)−7)((3+9)) = (-1)(12)\) | \(-12\) | False |
| 9 | \((2(9)−7)((9+9)) = (11)(18)\) | \(198\) | False |
This table should help you check and organize your evaluation! If you have any further questions, feel free to ask.
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