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2 years ago

Which of the following is a solution of x2 + 2x + 4?

Mathematics

1 answer:

kifflom [539]2 years ago

4 0

Answer:

−1 + i times the square root of 3

is the answer.

Step-by-step explanation:

Given is a quadratic equation in x

$x^2+2x+4\\= x^2+2x+1+3\\=(x+1)^2+3$

using completion of squares method

Equate to 0

$(x+1)^2+3 =0\\(x+1)^2 = -3\\$

Take square root

$(x+1) = \sqrt{-3} =±i\sqrt{3}$

Subtract one from both sides

x = [/tex]-1±i\sqrt{3}[/tex]

The last option namely

−1 + i times the square root of 3 only matches with our answre

Hence last option is right.

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1. A game is set up as follows: All the diamonds are removed from a deck of cards, and these 13 cards are placed in a bag. The c

Maurinko [17]

Answer:

the game must be played in groups of 13 draws, with a cost of $28 for the 13 draws.

Step-by-step explanation:

Probability of drawing any of the 13 balls is the same. So the expected value of play is the average of the values of each card.

The only losing card is the ace; the player loses $20 if that card is drawn.

Each of the 3 face cards wins $10; each of the remaining 9 cards wins $2.

So the average value of each draw is

$\frac{-20+3\times10+9\times2}{13}$

= 28/13

Therefore, on average the player will win $ 28/13. to be a fair game the player must pay $28/13 for a game.

that is not possible, unless the game must be played in groups of 13 draws, with a cost of $28 for the 13 draws.

7 0

3 years ago

Please Help Me :((.

Sidana [21]

Answer:

4.2 h

Step-by-step explanation:

12 * (50%-15%) = 4.2 h

8 0

2 years ago

Need step by step detailed answer

kolezko [41]

Answer:

y = -4x - 4

Step-by-step explanation:

If we have two lines in slope intercept form as

$y = m_1x + c_1 \text{ and}\\y = m_2x + c_2\\$

then the product of the slopes $m_1m_2 = -1$

In other words, $m_2 = -\frac{1}{m_1}$

We have the first line as

$y = \frac{1}{4}x + 5\\\\$

The slope of this line is $\frac{1}{4}$

The slope of a perpendicular line will be the negative of the reciprocal of this line

Reciprocal of 1/4 is 4

So slope of perpendicular line is -4 which implies

y = -4x + c

We have to determine c

Since the line passes through (-3, 8), plug in these values for x and y in the equation and solve for c

8 = (-4)(-3) + c

8 = 12 + c

c = -4

So the equation of the perpendicular line is y = -4x - 4 (Answer)

It is always a good idea to plot these graphs and see if they fit the data provided

The attached plot shows the two graphs and you can see they are perpendicular to each other and the perpendicular line(the answer) passes through point (-3,8)