All categories

3 years ago

Solve x2 – 8x = 3 by completing the square. Which is the solution set of the equation?

Mathematics

2 answers:

alexandr402 [8]3 years ago

6 0

Answer:

x = 4 ± $\sqrt{19}$

Step-by-step explanation:

Given

x² - 8x = 3

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = 3 + 16

(x - 4)² = 19 ( take the square root of both sides )

x - 4 = ± $\sqrt{19}$ ( add 4 to both sides )

x = 4 ± $\sqrt{19}$ , that is

x = 4 - $\sqrt{19}$ , 4 + $\sqrt{19}$

xxMikexx [17]3 years ago

6 0

Answer:

the answer is the first option

Step-by-step explanation:

You might be interested in

What is the image of (-1, 1) when reflected across the line y = x?

MaRussiya [10]

Answer:

(1, -1)

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Can you please help me

Archy [21]

Step-by-step explanation:

5) angle 5 = 69°

than, angle 10 = 69° ( alternate interior angle )

6) angle 6 = 115° ( alternate interior angle )

7) angle 7 = 118° ( alternate interior angle )

8) angle 11 = angle 4 - 180

→ 72 - 180 = 108°

therefore, angle 11 = 108°

9) angle 14 = 114° - 180

→ angle 14 = 66°

10) angle 12 = 86° ( alternate interior angle)

hope this answer helps you dear...take care!

5 0

3 years ago

Read 2 more answers

A singing competition is auditioning 40 contestants each hour for the next h hours. Which equation can be used to find the total

Advocard [28]

C= 40c
A singing competition is auditioning 40 contestants each hour. For every value of h it will add 40 which will equal the total number of contestants that audition in h hours.
Check: 40(2)=80 (Correct)
40(3)=120 (Correct)
And so on.

3 0

3 years ago

Read 2 more answers

Can you help me understand this?

MaRussiya [10]

Yea I did I didn’t mean to say yea sir yea yea I do but I’m just scared

7 0

3 years ago

Suppose a large consignment of televisions contained 11% defectives. If a sample of size 237 is selected, what is the probabilit

Romashka-Z-Leto [24]

Answer:

0.8612 = 86.12% probability that the sample proportion will differ from the population proportion by less than 3%

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$