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
GarryVolchara [31]
3 years ago
8

How is y=2x^2-8x+9 rewritten in vertex form.

Mathematics
1 answer:
alukav5142 [94]3 years ago
5 0

9514 1404 393

Answer:

  y = 2(x -2)^2 +1

Step-by-step explanation:

Start by factoring the leading coefficient from the x-terms.

  y = 2(x^2 -4x) +9

Now identify the coefficient of x, -4, and figure half of that: -2. Square this number and add it inside the parentheses. At the same time, subtract the equivalent value outside parentheses. (The leading coefficient must be taken into account.)

  y = 2(x^2 -4x +4) +9 -2(4)

Put in the desired form.

  y = 2(x -2)^2 +1

This matches vertex form ...

  y = a(x -h)^2 +k . . . . . . . . . vertical scale factor 'a'; vertex (h, k)

You might be interested in
PLEASE HELP ME.<br><br> Is the point (3,-2) on the graph of 3x – 2y = 12?
Zinaida [17]

Answer:

use photo math, take a picture of the equation, go down to the graph and see if there is a plot on (3,-2)

3 0
3 years ago
Solve the simultaneous equation
Sunny_sXe [5.5K]
Here are the original equations:
2x + 2y = 14
x + 2y = 11
We immediately note that these two equations form a system. So, we can use substitution to solve the second equation for x. To do this, all that needs to be done is to subtract 2y from both sides, to get x = 11 - 2y. Next, we substitute the derived expression for x into the first equation to get 2(11-2y) + 2y = 14. We can use the distribute property to get 22 - 4y + 2y = 14. Then, we can combine like terms to get 22 - 2y = 14. After that, we subtract 22 from both sides to get -2y = -8. Finally, we divide -2 from both sides to get y = 4. 

Now that we have the value for y, we can substitute our derived value into the second equation, since it will be much faster. After doing this, we get x + 2(4) = 11. We can simplify the left side of the equation and subtract the product from both sides, which gives us x = 4. Therefore, the answer to your query is x = 4, y = 4. Hope this helps and happy Halloween!
4 0
3 years ago
Sam ran 63,756 feet in 70 minutes. What is Sam's rate in miles per hour?
alex41 [277]

Answer:

54648?

Step-by-step explanation:

It’s too complicated to write here so, no coz I’m lazy

Brainliest if correct?

6 0
3 years ago
By paying $1500 cash and the balance is equal monthly payments, how many months would it take to pay for a car costing $12,495?
Elden [556K]

The monthly installments need to be paid is $10995.

To determine the number of months needed to pay off the remaining balance. We need to know the monthly installment.

<h3>What is installments?</h3>

When you get an installment loan, you get the money you borrowed or the item you bought right away.

  • You pay it off in installments, which are regularly scheduled payments that may include interest.
  • For a set number of months, or years, you generally owe the same amount on every installment.
  • When the loan is fully repaid, the account is permanently closed.

Now, as per the question;

Amount paid in cash = $1500

Remaining balance which is to be paid as monthly installments

= $12495 - $1500

=$12495 − $1500

=$10995

Thus, the monthly installments are $10995.

Now, to determine the number of months needed to pay off the remaining balance. The monthly installment is need to be known.

As a result, information on monthly installments is lacking.

To know more about the installments, here

brainly.com/question/16032019

#SPJ4

The complete question is-

What necessary piece of information is missing that prevents solving the problem? By paying $1500 cash and the balance in equal monthly payments, how many months would it take to pay for a car costing$12,495?

4 0
2 years ago
Long division 8 divided by 528
USPshnik [31]
0.151515 (and so on) Try to stop at the third decimal when dividing on paper
6 0
3 years ago
Other questions:
  • What is the solution of the system of equations? y = –3x + 8 y = –5x – 2
    13·2 answers
  • Whats 6 and 1 fifth times 2 and three thirds
    12·2 answers
  • If X/5-7=-8 what is x
    6·2 answers
  • The ratio of tickets sold to see the incredible musical wicked to tickets sold to see Cats is 11 to 7 if there were 2700 total t
    11·1 answer
  • kendra has $7.10 in nickels and quarters. if she has 143 more quarters than nickels how many of each coin does she have
    13·1 answer
  • Which of the following solves the equation 4x = 32?
    13·2 answers
  • What is the ratio of 64 and 16
    10·1 answer
  • Y=7 X=2 what is the value of x when y =21
    6·2 answers
  • What is the sum of the measures of the angles of this 9-sided polygon?
    9·2 answers
  • Which of the following exponential functions represents the graph below?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!