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3 years ago

Solve x2 - 8x + 3 = 0 by completing the square.

1 answer:

8 0

The correct answer for this would be the second option. The equation that is used in the process in completing the square is this: <span>(x - 4)2 = 13.
The solution is this:
(x-4)(x-4) = 13
x^2 - 4x - 4x + 16 = 13
x^2 - 8x +16 = 13
x^2 - 8x = 13 -16
x^2 - 8x = -3
x^2 - 8x + 3 = 0
Hope this answers your question. Have a great day!</span>

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Factor completely 81x2 − 4. (6 points) (2x − 9)(2x − 9) (2x − 9)(2x + 9) (9x − 2)(9x − 2) (9x − 2)(9x + 2)

Orlov [11]

(9x-2)(9x+2)
81x^2+18x-18x-4
81x^2-4

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4 years ago

Read 2 more answers

|13x-4|+12 < 56<br> Anybody know this cuz I do

Ronch [10]

Answer:

$\displaystyle x\in \left(-\frac{40}{13},\frac{48}{13}\right)$

Step-by-step explanation:

<u>Inequalities with Absolute Value</u>

We must recall the following rule:

$\text{If }|M|0$

Then:

$-N$

We have the following inequality:

$|13x-4|+12 < 56$

Subtracting 12:

$|13x-4|< 56-12$

$|13x-4|< 44$

Applying the rule:

$-44$

Adding 4:

$-44+4$

Operating:

$-40$

Dividing by 13:

$\displaystyle -\frac{40}{13}$

The solution expressed in interval form is:

$\boxed{\displaystyle x\in \left(-\frac{40}{13},\frac{48}{13}\right)}$

8 0

3 years ago

Jon loves to go bird watching at a nearby animal sanctuary. Find the mean of the following numbers of birds he spotted at the sa

DIA [1.3K]

Answer:

Mean = 12

Step-by-step explanation:

The arithmetic mean of a distribution is the sum of the number of samples in the distribution divided by the number of samples in the dataset. It is a measure of central tendency. The mean is represented as follows:

$\bar x = \frac{\sum x}{n} \\where\\\bar x = mean\\\sum x = sum\ of\ individual\ terms\\n = number\ of\ terms\\\therefore \bar x = \frac{14\ +\ 10\ +\ 17\ +\ 11\ +\ 9\ +\ 15\ +\ 6\ +\ 14}{8}\\\bar x = \frac{96}{8} \\\bar x = 12$