Answer:
76
2 real solutions
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Standard Form: ax² + bx + c = 0
Discriminant: b² - 4ac
- Positive - 2 solutions
- Equal to 0 - 1 solution
- Negative - No solutions/Imaginary
Step-by-step explanation:
<u>Step 1: Define</u>
x² - 6x - 10 = 0
<u>Step 2: Identify Variables</u>
<em>Compare quadratic.</em>
x² - 6x - 10 = 0 ↔ ax² + bx + c = 0
a = 1, b = -6, c = -10
<u>Step 3: Find Discriminant</u>
- Substitute in variables [Discriminant]: (-6)² - 4(1)(-10)
- [Discriminant] Evaluate exponents: 36 - 4(1)(-10)
- [Discriminant] Multiply: 36 + 40
- [Discriminant] Add: 76
This tells us that our quadratic has 2 real solutions.
Answers is 14.794 us liquid quarts
Marcos is correct because 3x is not a like term to 7, since you cannot add them it’s already in its most simplified form and stays as 3x + 7.
Answer: The probability is 0.5136.
To find this probability we have to find the range of the values on the normal distribution table.
First, we need to find the percent for each making z-score.
Lower end: 50/24 = 2.08 = 0.0183
Upper end: 2/24 = 0.08 = 0.5319
Now, that we have the upper and lower ends, we can subtract them to find the difference or the range.
0.5319 - 0.0183 = 0.5136
There is a 51.36% chance they are in the given range.
Answer:
-2,-1,3
Step-by-step explanation:
this is where the line passes the x axis