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Troyanec [42]
3 years ago
9

54:20

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
8 0

Answer:

the answer is actually 0

Step-by-step explanation:

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Solve x2 = 12x – 15 by completing the square. Which is the solution set of the equation? Solve x2 = 12x – 15 by completing the s
Svetlanka [38]

Answer: 6+\sqrt{21}\ \text{and}\ 6-\sqrt{21}

Step-by-step explanation:

Given

Quadratic equation is

x^2-12x+15=0

Solving by completing the square method

\Rightarrow x^2-2\cdot 6\cdot x+15=0\\\text{add and subtract 36}\\\Rightarrow x^2-2\cdot 6\cdot x+15+36-36=0\\\Rightarrow x^2-2\cdot 6\cdot x+36+(-36+15)=0\\\text{using}\ (a-b)^2=a^2+b^2-2ab\\\Rightarrow (x-6)^2-21=0\\\Rightarrow (x-6)^2=21\\\Rightarrow x-6=\pm \sqrt{21}\\\Rightarrow x=6\pm \sqrt{21}

The solution set of the equation is 6+\sqrt{21}\ \text{and}\ 6-\sqrt{21}

6 0
3 years ago
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On saturday, a minor league baseball team gave away baseball cards to each person entering the stadium. one group received 28 ba
Tanzania [10]
29 card a piece! Hope it helps!
4 0
3 years ago
Mary is making pillows for her Life Skill class. She bought 2 ½ yards of fabric. Her total cost was $15. What was the cost per y
BigorU [14]

Answer:

15 divided by 2 1/2

Step-by-step explanation:

$6 per yard.

4 0
3 years ago
Find f(x) + g(x) for<br> [ f(x) = 6x – 4<br> [g(x) = -5x + 24
Ket [755]

Answer:

f(x) + g(x) = x + 20

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>

  • Terms/Coefficients
  • Functions
  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 6x - 4

g(x) = -5x + 24

<u>Step 2: Find f(x) + g(x)</u>

  1. Substitute in functions:                                                                                     f(x) + g(x) = 6x - 4 + (-5x + 24)
  2. Combine like terms (x):                                                                                    f(x) + g(x) = x - 4 + 24
  3. Combine like terms:                                                                                         f(x) + g(x) = x + 20
3 0
2 years ago
Please help me with this geometry question. x and pr needed ao basically like this x=(answer), PR=(answer). Thank you
Dennis_Churaev [7]

Answer:

x = -1, PR = 38.

Step-by-step explanation:

As Q is the midpoint of PR

PQ = QR

6x + 25 = 16 - 3x

9x = -9

x = -1.

PR

= 6x + 25 + 16 - 3x

= 6(-1) + 25 + 16 - 3(-1)

= -6 + 25 + 16 + 3

= 38.

7 0
2 years ago
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