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
Trava [24]
2 years ago
5

The quadratic has a vertex of (10,-9) and y-intercept of (0,-4). Write an equation in vertex form. PLZ EXPLAIN!!!!

Mathematics
1 answer:
weeeeeb [17]2 years ago
3 0
Hello there!

Knowing that the vertex form of the quadratic equation is
y=a(x-h)^2+k where (h,k) represents the vertex, and the a value represents the leading coefficient of the quadratic equation in standard form, first plug in your known values (your given coordinate point can be plugged into the x and y values, and your given vertex can be plugged into h and k):
-4=a(0-10)^2-9

Because your a value is still unknown, you can use your given values in the equation to solve for a:
-4=a(-10)^2-9
-4=100a-9
100a=5
a=1/20

Now that you have your a value, you can plug it into your vertex form as well as your vertex values to get that your equation in vertex form is:
y=1/20(x-10)^2-9
You might be interested in
Which of the following represents an explicit formula for the sequence:<br> 8.2, 10, 11.8, 13.6
NNADVOKAT [17]

Answer:

Tn = 6.4 + 1.8n

Step-by-step explanation:

Given

Sequence: 8.2, 10, 11.8, 13.6

Required

The formula of the sequence.

First, the type of the sequence needs to be determined (arithmetic or geometric)

It is an arithmetic sequence because each successive sequence is separated by a common difference..

The common difference is represented by d and it's calculated as follows.

d = 10 - 8.2 or 11.8 - 10 or 13.6 - 11.8

Each of the above gives

d = 1.8

Now, that we have the common difference; the next is to determine the formula using the Arithmetic Progression formula.

Tn = T1 + (n - 1)d

Where T1 is the first term of the progression; T1 = 8.2

By substituting 8.2 for T1 and 1.8 for d.

This gives

Tn = 8.2 + (n - 1) * 1.8

Open bracket

Tn = 8.2 + 1.8 * n - 1 * 1.8

Tn = 8.2 + 1.8n - 1.8

Collect like terms

Tn = 8.2 - 1.8 + 1.8n

Tn = 6.4 + 1.8n

Hence, the formula of the sequence is Tn = 6.4 + 1.8n

3 0
3 years ago
Ten identical slips of paper each contain one number from one to ten, inclusive. The papers are put into a bag and then mixed ar
nalin [4]
Just took the quiz then answer is; A, C, E, F.
7 0
3 years ago
Read 2 more answers
There is a laboratory at the North Carolina Krispy Kreme doughnut plant where the mixture for the doughnut batter is produced an
saul85 [17]

Researchers in the laboratory randomly procure bags of mix and check the mix for consistency, composition, texture, and taste. The laboratory's function is quality control.

<h3>What is quality control?</h3>

A method of keeping specifications by comparing a series of observations to the standard.

There is a laboratory at the North Carolina Krispy Kreme doughnut plant where the mixture for the doughnut batter is produced and packaged in 50-pound bags.

Researchers in the laboratory randomly procure bags of mix and check the mix for consistency, composition, texture, and taste.

The laboratory's function is quality control.

More about the quality control link is given below.

brainly.com/question/20892066

#SPJ1

8 0
1 year ago
Jesus earned 50 points in a video game. He lost 40 points, earned 87 points, then lost 30 more points. Write and evaluate an exp
Lana71 [14]

The final score in the video game is 67.

Step-by-step explanation:

Points earned = 50 points, 87 points

Points lost = 40 points, 30 points

Let,

Plus sign (+) represent the points earned.

Negative sign (-) represent the points lost.

Therefore,

Points earned = +50, +70

Points lost = -40, -30

Adding all the points to get final score;

Final score = 50+(-40)+87+(-30)

Final\ score=50-40+87-30\\Final\ score = 137-70\\Final\ score=67

The final score in the video game is 67.

Keywords: integers, subtraction

Learn more about subtraction at:

  • brainly.com/question/1836777
  • brainly.com/question/2115122

#LearnwithBrainly

8 0
3 years ago
Which are equivalent expressions?
bonufazy [111]

Answer:

B) 4x + 8y = 2(2x + 4y)

C) 4x + 8y = 4(x + 2y)

D) 4x + 8y + 12z = 4(x + 2y + 3z)

E) 5x + 10y = 5(x + 2y)

Step-by-step explanation:

We would assume a value for the variables a, b, c, x, y and z.

Let x, a = 1

Let y, b = 2

Let z, c = 3

A) a + b + c = 3abc

When a = 1, b = 2 and c = 3

Substituting into the above equation, we have;

1 + 2 + 3 = 3(1*2*3)

6 ≠ 3(6)

6 ≠ 18 (not equivalent)

B) 4x + 8y = 2(2x + 4y)

When x = 1 and y = 2

Substituting into the above equation, we have;

4(1) + 8(2) = 2(2*1 + 4*2)

4 + 16 = 2(2 + 8)

20 = 2(10)

20 = 20 (equivalent expression)

C) 4x + 8y = 4(x + 2y)

When x = 1 and y = 2

Substituting into the above equation, we have;

4(1) + 8(2) = 4(1 + 2*2)

4 + 16 = 4(1 + 4)

20 = 4(5)

20 = 20 (equivalent expression).

D) 4x + 8y + 12z = 4(x + 2y + 3z)

When x = 1, y = 2 and z = 3

Substituting into the above equation, we have;

4(1) + 8(2) + 12(3) = 4(1 + 2*2 + 3*3)

4 + 16 + 36 = 4(1 + 4 + 9)

56 = 4(14)

56 = 56 (equivalent expression).

E) 5x + 10y = 5(x + 2y)

When x = 1 and y = 2

Substituting into the above equation, we have;

5(1) + 10(2) = 5(1 + 2*2)

5 + 20 = 5(1 + 4)

25 = 5(5)

25 = 25 (equivalent expression).

6 0
2 years ago
Other questions:
  • What did you guys get for all of these?<br> I’ll give you 30 points If you’re able to answer all.
    10·1 answer
  • ALGEBRA 1 PLEASE HELP
    6·1 answer
  • Plz help
    5·1 answer
  • 90 POINTS!!!!! Given: KLIJ inscr. in k(O),m∠K = 64°, measure of arc LI = 69°, measure of arc IJ = 59°, measure of arc KJ =97°
    14·1 answer
  • Given the following formula, solve for I.<br> P =<br> 2(1 + b)
    5·1 answer
  • A rectangular plot of land has an area of 9/10 square mile. The length is 3/2 miles. What is the width?​
    10·2 answers
  • 2.1.43 A particular hybrid car travels approximately 235 mi on 5 gal of gas. Find the amount of gas required for a 705-mi trip.
    9·1 answer
  • Alvin wants to know what his average paddling rate was for a canoe trip to a campsite. On the way there it took him 8 hours agai
    12·1 answer
  • If an event is very unlikely to occur would it’s probability be zero
    7·1 answer
  • You get your first job ever and they tell you that you will make $350.25 for 15 hours. How much money will you make working 40 h
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!