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
erik [133]
3 years ago
7

Type the correct answer in the box. Rewrite the quadratic equation in the form y = a(x − h)2 + k. y=5x^2-30x+95

Mathematics
1 answer:
S_A_V [24]3 years ago
6 0

Answer:

y = 5(x - 3)^2 + 50

Step-by-step explanation:

The problem wants you to rewrite the quadratic equation in the vertex form y = a(x - h)^2 + k

You are given a quadratic equation in standard form (ax^2 + bx = c).

To convert from standard form to vertex form, there are two ways but I will show you the easier(?) way.

Use the formula x = -b/2a to find the x-value (h) of the vertex. Note that the vertex in "vertex form" is (h, k) which is virtually the same as (x, y).

In y = 5x^2 - 30x + 95, a = 5, b = -30, and c = 95. Substitute a and b into the formula -b/2a.

  • -(-30) / 2(5)

Two negative make a positive, so -(-30) becomes 30 and 2 times 5 is 10. Now we have:

  • 30/10 which simplifies down to 3.

The x (h) value of the vertex is 3. To find the y-value, substitute 3 into the original standard form equation.

  • y = 5(3)^2 - 30(3) + 95
  • = 5(9) - (90) + 95
  • 45 - 90 + 95
  • 50

The y (k) value of the vertex is 50. Now we have: (h, k) ⇒ (3, 50).

Substitute the values for h and k into the vertex form.

  • y = a(x - 3)^2 + 50

We still need the a-value, and this is easy to find. You take the a value from the original standard for equation (remember: <u>a</u>x^2 + bx + c)

So our a-value is 5. Now we can substitute this value into the vertex form and complete the question.

y = 5(x - 3)^2 + 50

You might be interested in
The floor of a skating rink is circular and has a radius of 14 meters. What is the
Lerok [7]

Answer:

Step-by-step explanation:

615.75m squared

4 0
3 years ago
Read 2 more answers
PLZ HELP ME! I WILL MAKE YOU BRAINLIEST! Xian and his cousin Kai both collect stamps. Xian has 60 stamps, and Kai has 76 stamps.
zvonat [6]

Answer: After 4 months they will have the same number of Stamps

Xian and Kai will have 124 stamps each one.

Step-by-step explanation:

60+16x = 76+12x (Subtract 12 from both sides)

-12 -12

60+4x = 76 (Subtract 60 from both sides)

-60 -60

4x/4x = 16/4x (Divide 16 by 4)

X = 4

3 0
3 years ago
Two student clubs were selling t-shirts and school notebooks to raise money for an upcoming school event. In the first few minut
mixas84 [53]

Using a system of equations, it is found that the cost of a t-shirt is of $3 and the cost of a notebook is of $5.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

The variables are given as follows:

  • Variable x: Cost of a t-shirt.
  • Variable y: Cost of a notebook.

Considering the costs of the purchases of Clubs A and B, the matrices give the equations as follows:

  • 3x + 2y = 19.
  • x + y = 8 -> y = (8 - x).

Hence, replacing the second equation into the first:

3x + 2(8 - x) = 19

x = 3.

y = 8 - x = 8 - 3 = 5.

The cost of a t-shirt is of $3 and the cost of a notebook is of $5.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

7 0
2 years ago
Please help ill give you. brainiest
Bond [772]

I believe the answer is b

3 0
3 years ago
Read 2 more answers
Anyone know how to do this??
nevsk [136]

Answer:

x=5ft

Step-by-step explanation:

3 is half of 6, so triangle DEF is half as big as triangle ABC. Hope this helps.

5 0
3 years ago
Other questions:
  • Diane, Jose, and Bill have a total of $109 in their wallets. Bill has 3 times what Jose has. Diane has $6 less than Jose. How mu
    11·1 answer
  • Amy is having her birthday party at a roller skating rink. The rink charges a fee of $50 plus $8 per person. If Amy wants to spe
    5·1 answer
  • Answer please!!!!!!!!!!!!!!!!!!!!!!
    11·1 answer
  • Please answer this question now correct
    13·1 answer
  • I can clean my apartment in two hours. My roommate could clean it in three hours. How long will it take use the clean the apartm
    12·1 answer
  • There are 20 pieces of bread to divide among 20 people. A man eats 3 pieces, woman eats 2 pieces and a child eats half piece of
    13·1 answer
  • Help asap please
    13·2 answers
  • Https://brainly.com/question/23859122
    15·1 answer
  • What type of association does the scatterplot appear to have?
    14·2 answers
  • 1/3 x + 4 = x − 2 solve for x
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!