1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
monitta
3 years ago
13

Complete the square to rewrite y-x^2-6x+14 in vertex form. then state whether the vertex is a maximum or minimum and give its co

rdinates
Mathematics
1 answer:
ycow [4]3 years ago
4 0

Answer:

y= x^2 -6x +(\frac{6}{2})^2 +14 -(\frac{6}{2})^2

And solving we have:

y= x^2 -6x +9 + 14 -9

y= (x-3)^2 +5

And we can write the expression like this:

y-5 = (x-3)^2

The vertex for this case would be:

V= (3,5)

And the minimum for the function would be 3 and there is no maximum value for the function

Step-by-step explanation:

For this case we have the following equation given:

y= x^2 -6x +14

We can complete the square like this:

y= x^2 -6x +(\frac{6}{2})^2 +14 -(\frac{6}{2})^2

And solving we have:

y= x^2 -6x +9 + 14 -9

y= (x-3)^2 +5

And we can write the expression like this:

y-5 = (x-3)^2

The vertex for this case would be:

V= (3,5)

And the minimum for the function would be 3 and there is no maximum value for the function

You might be interested in
According tot he rational root theorem, which statement about f(x)=12x^3-5x^2+6x+9 is true?
vampirchik [111]

Answer:

If there are any rational roots, it would be a factor of your constant term (9) divided by a factor of the high-order coefficient (12).

3 0
3 years ago
What is the equation of this graphed line?
Soloha48 [4]
Y=2x+2
.......................

7 0
3 years ago
For how many games Is the total cost of bowling equal for the two bowling establishments? Family Bowling- Game $4 Shoes $1 Knigh
skad [1K]

Step-by-step explanation:

Answer: If you play 4 games, the price will be the same in the two establishments.

Step-by-step explanation:

Ok, in Family Bowling we have:

$4 per game, plus $1 per shoes (the shoes are paid only one time).

Then, the price for X games, is:

Pa(X) = $4*X + $1.

In Knight Owl Bowling we have:

$3.75 per game and $2 for the shoes, the price for X games will be:

Pb(X) = $3.75*X + $2.

Now, if we want to pay the same in both establishments, we have:

Pa(X) = Pb(x)

$4*X + $1 = $3.75*X + $2

Now we should solve this for X.

$4*X - $3.75*X = $2 - $1 = $1

($4 - $3.75)*X = $1

$0.25*X = $1

X = $1/$0.25 = 4.

If you play 4 games, the price will be the same in the two establishments.

Darmaidayxx and 34 more users found this answer helpful

THANKS

25

4.6

(9 votes)

Advertisement

Survey

Did this page answer your question?

Still have questions?

FIND MORE ANSWERS

Unlocked badge showing a round hole with a white rabbit’s paw and ears sticking out

Ready to dive into rabbit hole and unlock a badge.

ASK YOUR QUESTION

New questions in Mathematics

78° L Find the measure of angle M. m/M = M 36° N

In the figure below, m∠2=106°Findm/1m/3, andm/4.

Is 15 rational ?????????

If m need an answer ASAP please provide a step by step if possible.

Write an algebraic expression that models the situation. Jenny had $182, but she is spending $12 per week.

Draw a model to represent the problem. 1/2 divided by 1/4

A case of 24 tennis balls weighs 3 pounds. How much would a shipment of 2560 tennis balls weigh? Please write an EQUATION involving a variable

8 0
1 year ago
In a large population of adults, the mean IQ is 112 with a standard deviation of 20. Suppose 200 adults are randomly selected fo
Snezhnost [94]

Answer:

(c)approximately Normal, mean 112, standard deviation 1.414.

Step-by-step explanation:

To solve this problem, we have to understand the Central Limit Theorem

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}.

In this problem, we have that:

\mu = 112, \sigma = 20, n = 200

Using the Central Limit Theorem

The distribution of the sample mean IQ is approximately Normal.

With mean 112

With standard deviation s = \frac{20}{\sqrt{200}} = 1.414

So the correct answer is:

(c)approximately Normal, mean 112, standard deviation 1.414.

4 0
3 years ago
How to do it? i dont really under stand
dybincka [34]

First, we want to ask "What number divided by 7 <em>is </em>800?" That'll give us a jumping off point to answer the rest of the question.

If dividing some number by 7 gets us 800, that means that <em>multiplying </em>800 by 7 should get us back that number. We find that 800 x 7 = 5600. The first number higher than 5600 is 5601, which, when divided by 7, gets us about 800.14, a number greater than 800. So the lowest whole number that makes the inequality ? ÷ 7 > 800 work is 5601.

7 0
3 years ago
Other questions:
  • Every 1/2 hour Naomi stretches her neck; every 1/3 hour she stretches her legs; and every 1/6 hour she stretches her arms. Which
    11·1 answer
  • At an animal rehabilitation center, the baby rabbits need to be fed every 8 hours and the baby squirrels need to be fed every 6
    12·2 answers
  • M is between L and N. LM = 7x-1, MN = 2x +4, and LN = 12. find the value of ‘x’ an determine if M is a bisector.
    6·1 answer
  • I NEED HELP IN THIS QUESTION PLEASE
    5·1 answer
  • Convert Percent to Decimal<br>34 % =<br>6% =<br>36 % =<br>87.8 % =<br>77 % =<br>14 % =<br>​
    6·2 answers
  • What is the equation of the line below?
    10·2 answers
  • (this is separate)
    13·1 answer
  • B
    9·1 answer
  • Write two perfect squares that each have a value greater than100 and less than 200
    13·1 answer
  • Here’s 50 points, question is in the attachment below!
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!