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Montano1993 [528]
3 years ago
5

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

quare. Which is the solution set of the equation?
Mathematics
2 answers:
Helga [31]3 years ago
8 0

Answer:

D on edge

Step-by-step explanation:

Svetlanka [38]3 years ago
6 0

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}

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3 years ago
Suppose that E and F are two events and that N(E and F)=450 and N(E)=700. What is P(F|E)​?
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Answer:i really dont know

Step-by-step explanation:

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3 years ago
Let x and y be independent each uniformly distributed on {1,2,...,n} find p(x < y )
bulgar [2K]
If we draw the contingency table of x (vertical) against y (horiz.), we have a square.
For n=4, we have   (legend:  < : x<y   = : x=y   > : x>y

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8 0
3 years ago
You are challenged to a lucky draw game. If you draw a face card (K, Q, J) from a standard deck of cards, you earn 10 points. If
Aleksandr [31]

The Expected value of a draw from the given question is; A; 0.77

We are told the face cards are K, Q, J. This means that there are 3 face cards for each of the 4 suits.

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total possible gain = 10 × 3 × 4 = 120

In a deck of cards, there are a total of 52 cards.

This means that;

Number of cards that are not K, Q or J = 52 - (4 × 3) = 40

Since 2 points are lost for drawing any of this 40 cards, then;

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Expected value of a draw = 40/52

Expected value of a draw = 0.77

Read more about expected value at; brainly.com/question/1450915

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2 years ago
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3 years ago
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