All categories

3 years ago

Solve the equation x² - 6x = 15 by completing the square.

Mathematics

1 answer:

jonny [76]3 years ago

4 0

Answer:

Use the formula ( b 2 ) 2 in order to create a new term. Solve for x by using this term to complete the square.

Exact Form: x = ± 2 √ + 3

Decimal Form: x = 7.89897948

1.898979488

Step-by-step explanation:

You might be interested in

A marketing consultant observed 40 consecutive shoppers to estimate the average money spent by shoppers in a supermarket store.

KonstantinChe [14]

Answer:

0.998 is the probability that the average money spent by a sample of 40 shoppers is within $10 of the actual population mean.

Step-by-step explanation:

We are given the following information in the question:

Standard Deviation, σ = $21.51

We are given that the distribution of average money spend is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

We have to find:

P( average money spent is within $10 of the actual population mean.)

$= P( z \leq \displaystyle\frac{10\times \sqrt{40}}{21.51}}) = P(z \leq 2.94)$

Calculation the value from standard normal z table, we have,

$P(z \leq 2.94) = 0.998$

6 0

3 years ago

The diagram shows a triangle.<br> 108°<br> 42°<br> 15c<br> What is the value of c?

Tom [10]

Assuming these are the angles for the inside of the triangle:

c=2

Step-by-step:

108+42+15c=180
150+15c=180
15c=30
c=2

8 0

3 years ago

Tickets for an American Baseball League game for 3 adults and 3 children cost less than $75, while tickets for 2 adults and 4 ch

nikitadnepr [17]

<h3>No, the cost of 1 adult ticket cannot be $ 20 and the cost of 1 children ticket is not $ 8.</h3>

Step-by-step explanation:

Let us assume the cots of ticket for 1 adult = $ x

Let us assume the cots of ticket for 1 children = $ y

So, the cost of ticket for 3 adults = 3 x ( Cost of 1 adult ticket) = 3 x

The cost of ticket for 3 children = 3 x ( Cost of 1 children ticket) = 3 y

Also, given the combined cost of 3 adult and children ticket is less than $75.

⇒ 3 x + 3 y < 75 ... (1)

Similarly, the cost of ticket for 2 adults = 2 x

The cost of ticket for 4 children = 4 y

⇒ 2 x + 4 y < 62 ... (2)

Now, solving for the values of x and y, we get:

3 x + 3 y < 75 or, x + y < 25 ⇒ x = 25 - y ( substitute in 2)

2 x + 4 y < 62 or, x + 2 y < 31

⇒ 25 - y + 2 y < 31

or, y + 25 < 31

or, y < 6

⇒ x = 25 - 6 = 19

or, x < 19

So, the cost of 1 adult ticket is x and is less than $19.

The cost of 1 child ticket is y and is less than $6.

Hence, by above statement, NO the cost of 1 adult ticket can not be $ 20 and the cost of 1 children ticket is not $ 8.

4 0

3 years ago

The table shown below represents a function. Which of the following values could not be used to complete the table?

maksim [4K]

-5 could not be used in the table again, because we have the value of x=-5 for the value of 15. Therefore correct option is C.

Answer: C. -5

8 0

3 years ago

Read 2 more answers

Find the probability if two dice are rolled. (Enter the value of probability in decimals. Round the answer to three decimal plac

enyata [817]

The probability of getting a total of 8 when two dice are rolled is 0.139 when the answer is rounded to three decimal places.

<h3>What is meant by Probability?</h3>

Numerous uses of mathematics' probability formula may be found. Probability can be used, for instance, to determine the likelihood that a certain marketing would really be successful in generating fresh customers. Calculating the likelihood of something happening is another use of probability.

Let's examine what probability is, how to compute the probabilities of single and many random occurrences, and how the terms probability and odds vary from one another.

The likelihood that an event like rolling two dice will occur is determined by probability:

P(A) = f / N

Odds and probability are connected, but the probability determines the odds. Probability is required before calculating the likelihood of an occurrence.

The probability is P(getting a total of 8 from both dices)=5/36= 0.139.

To learn more about Probability, visit:

brainly.com/question/23554593

#SPJ4

4 0

1 year ago