All categories

4 years ago

Solve x2 - 12x + 5 = 0 by completing the square.

1 answer:

5 0

The answer would be the first one, (x-6)^2=31. To explain this
first, you must expand and simplify the equation and it would look like this,
(x-6)(x-6)=31. Then, solve and simplify the equation and will look like this, "x^2 - 12x + 36 = 31". Since 36 and 31 can be simplified more.
Just transpose 31 to the left and it will become negative and it will look like this,
x^2 + 12x + 36 - 31 = 0
Then the answer would be x<span>^2 + 12x + 5 = 0</span>

You might be interested in

Could yall answer these in need to finish it in 7mins

san4es73 [151]

Answer:

$- 6 \\ - 9 \\ 6 \\ 42 \\ - 30 \\ 4 \\ - 6 \\ - 14$

5 0

3 years ago

Read 2 more answers

I like you cookie want go out what me :]

Gelneren [198K]

Answer: lol wut

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Which table of ordered pairs represents a linear function? x y −8 22 0 1 8 22 16 102 x y −8 −7 0 1 8 9 8 2 x y −8 −7 0 0 8 7 16

nekit [7.7K]

The linear function is a function that has a straight line when plotted on a

graph.

<h3>The correct option;</h3>

The table of ordered pairs that represent a linear function is the option; <u>x/y -8/-7 0/0 8/7 16/14</u>

<u />

<h3>Reasons why the above selection is correct:</h3><h3 /><h3>Given;</h3>

The given data can be presented as follows;

x/y -8/22 0/1 8/22 16/102

x/y -8/-7 0/1 8/9 8/2

x/y -8/-7 0/0 8/7 16/14

x/y -8/-7 0/1 8/5 16/4

<h3>Representation of the options in tabular form;</h3>

In a tabular form, we have;

$\begin{tabular}{|c|c|}x&y\\-8&22\\0&1\\8&22\\16&102\end{array}\right]$ $\begin{tabular}{|c|c|}x&y\\-8&-7\\0&1\\8&9\\8&2\end{array}\right]$ $\begin{tabular}{|c|c|}x&y\\-8&-7\\0&0\\8&7\\16&14\end{array}\right]$ $\begin{tabular}{|c|c|}x&y\\-8&-7\\0&1\\8&5\\16&4\end{array}\right]$

<h3>Characteristic of linear function;</h3>

In a linear function, when the x-values have a constant rate of increase the

first difference in the y-values is constant.

<h3>Selection of the table representing a linear function;</h3>

The option that have constant first difference along with a constant rate of

increase in the x-value is the option with the following table;

$\begin{tabular}{|c|c|}x&y\\-8&-7\\0&0\\8&7\\16&14\end{array}\right]$ , which is the option x/y -8/-7 0/0 8/7 16/14

Learn more about linear functions here:

brainly.com/question/1492480

brainly.com/question/8046269

6 0

3 years ago

Solve for x and y. Write any radical answers as "sqrt( )" or "squareroot( )".

LuckyWell [14K]

Answer:

x = 4 and y = 8

Step-by-step explanation:

This is a special right triangle with angle measures 90-60-30 degrees

The side lengths are like the following :

The side length that sees 90 degrees is represented with a

The side length that sees 60 degrees is represented with a $\sqrt{3}$

The side length that sees 30 degrees is represented with 2a

now, the angle measure that sees 60 degrees is given as 4 $\sqrt{3}$ so we understand that a is = 4 that's how we find the value of x and y

5 0

3 years ago

If a pair of regular dice are tossed once, use the expectation formula to determine the expected sum of the numbers on the upwar

Darya [45]

Answer:

The expected sum of the numbers on the upward faces of the two dice is 7.

Step-by-step explanation:

Consider the provided information.

If two pair of dice tossed the possible out comes are:

(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)

(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)

(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)

(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)

(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5,6)

(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6,6)

Now we need to find the expected sum of the numbers on the upward faces of the two dice.

The expected sums can be:

Sum: 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

Prob: 1/36, 2/36, 3/36, 4/36, 5/36, 6/36, 5/36, 4/36, 3/36, 2/36, 1/36

As we know that the expectation of experiment can be calculated as:

$P(S_1)\cdot S_1+P(S_2)\cdot S_2+........+P(S_n)\cdot S_n$

Here S represents the numerical outcomes and P(S) is the respective probability.

Substitute the respective values in the above formula.

$=2\times\frac{1}{36}+3\times\frac{2}{36}+4\times\frac{3}{36}+5\times\frac{4}{36}+6\times\frac{5}{36}+7\times\frac{6}{36}+8\times\frac{5}{36}+9\times\frac{4}{36}+10\times\frac{3}{36}+11\times\frac{2}{36}+12\times\frac{1}{36}\\=\frac{252}{36}\\=7$

Hence, the expected sum of the numbers on the upward faces of the two dice is 7.

8 0

4 years ago