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Mashutka [201]
3 years ago
12

Factor 81p² - 1 a. (3p+1) (9p-1) b. (9p+1) (p-1) c. (9p+1) (9p-9) d. (9p+1) (9p-1)

Mathematics
1 answer:
Alex73 [517]3 years ago
3 0

Answer:

d

Step-by-step explanation:

81p^2 - 1

9^2 p^2 - 1= (9p+1)(9p-1)

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Find the discriminant of x2-6x -10 = 0, and determine the number of real solutions of the equation.​
sergiy2304 [10]

Answer:

76

2 real solutions

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<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>

  1. Substitute in variables [Discriminant]:                                                            (-6)² - 4(1)(-10)
  2. [Discriminant] Evaluate exponents:                                                                36 - 4(1)(-10)
  3. [Discriminant] Multiply:                                                                                    36 + 40
  4. [Discriminant] Add:                                                                                          76

This tells us that our quadratic has 2 real solutions.

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How many quarts are equoqelant to 14 liters
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Answers is 14.794 us liquid quarts
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6. A group of students was given the following to simplify: 3x+7. Brian believes that this expression simplifies to 10x because
PIT_PIT [208]
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.
7 0
3 years ago
A particular fruit's weights are normally distributed, with a mean of 618 grams and a standard deviation of 24 grams. If you pic
Lorico [155]
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.
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3 years ago
What are the x-intercepts of this function?
valentinak56 [21]

Answer:

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Step-by-step explanation:

this is where the line passes the x axis

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