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
n200080 [17]
3 years ago
5

Quadratics need help making parabola

Mathematics
1 answer:
timama [110]3 years ago
5 0

Answer:

The equation of the parabola is y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4, whose real vertex is (x,y) = (2, -5.333), not (x,y) = (2, -5).

Step-by-step explanation:

A parabola is a second order polynomial. By Fundamental Theorem of Algebra we know that a second order polynomial can be formed when three distinct points are known. From statement we have the following information:

(x_{1}, y_{1}) = (-2, 0), (x_{2}, y_{2}) = (6, 0), (x_{3}, y_{3}) = (0, -4)

From definition of second order polynomial and the three points described above, we have the following system of linear equations:

4\cdot a -2\cdot b + c = 0 (1)

36\cdot a + 6\cdot b + c = 0 (2)

c = -4 (3)

The solution of this system is: a = \frac{1}{3}, b = - \frac{4}{3}, c = -4. Hence, the equation of the parabola is y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4. Lastly, we must check if (x,y) = (2, -5) belongs to the function. If we know that x = 2, then the value of y is:

y = \frac{1}{3}\cdot (2)^{2}-\frac{4}{3}\cdot (2) - 4

y = -5.333

(x,y) = (2, -5) does not belong to the function, the real point is (x,y) = (2, -5.333).

You might be interested in
9. Your bank account has a balance of $145.67. You make a withdrawal
Nataliya [291]
There is $103.15 in your bank account.
4 0
3 years ago
For the question I just asked
guajiro [1.7K]

Answer:

a = 36

Step-by-step explanation:

We use pythagoras theorem here.

h = 60

p = 48

b = a

h² = p² + b²

60² = 48² + b²

3600 = 2304 + b²

b² = 3600 - 2304

b² = 1296

b = 36

7 0
3 years ago
You buy milk in 1 gallon containers. One portion of waffles requires 0.4 ounces of milk. How many portions can be made with one
xenn [34]

320 portions of waffles can be made with one container.

Step-by-step explanation:

Given,

Milk is bought in 1 gallon container.

One portion of waffles require = 0.4 ounces of milk

We know that;

1 gallon = 128 ounces

Now;

No. of portions of waffles = \frac{Total\ ounces\ of\ milk}{Milk\ used\ per\ waffle}

No. of portions of waffles = \frac{128}{0.4}

No. of portions of waffles = 320

320 portions of waffles can be made with one container.

5 0
3 years ago
Read 2 more answers
Can somebody help me on this thank you it will mean a lot
MaRussiya [10]

Answer:

your will be A

Step-by-step explanation:

hoped i helped and can i get brainiest pls

5 0
3 years ago
What is the final velocity of a runner who is accelerators at 2 feet per second squared for 3 seconds with an initial velocity o
Kryger [21]
The runner's final velocity is 10 m/s
6 0
3 years ago
Other questions:
  • Find the area of the following trapezium:
    7·1 answer
  • What’s the domain and range for (2,4) (5,3) (-1,-4) (0,9) (-3,1)
    13·1 answer
  • Help me please!!!!!!!!!!
    15·1 answer
  • A patio in the shape of a semicircle has a diameter of 21 ft. What is the approximate area of the patio, rounded to the nearest
    6·2 answers
  • You eat 80% of your daily calories at breakfast. Does this statement make sense?
    10·2 answers
  • Amelia wants to rearrange the furniture in her room. She makes a scale drawing of her rectangular room,
    9·1 answer
  • HELP ME ASAPP!!<br><br>Explain and correct the error in the textbox below. <br>​
    12·1 answer
  • A quantity x varies directly with the square of y and inversely with z. If x=40 when y=4 and z=2, find x when y=10 and z=25. Do
    7·1 answer
  • Find the first three terms of the sequence below. T n = n 2 + 3 n + 4
    13·1 answer
  • If ³√a=am , what is m​
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!