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
Maslowich
2 years ago
7

What is the equation of the parabola passing through the points(0,6). (3, 15.6), and (10,-4)?​

Mathematics
1 answer:
Novosadov [1.4K]2 years ago
7 0

Answer:

y = -0.6x^2 + 5x + 6

Step-by-step explanation:

First, find the equation of a linear line that passes through the points (0,6) and (3, 15.6) in the slope intercept form, y = mx + b. We know that the line has a y-intercept of 6, so b = 6. Substitute 3 for x, 15.6 for y, and 6 for b to find m.

y = mx + b

15.6 = 3m + 6

9.6 = 3m

m = 3.2

y = 3.2x + 6

y = a(x - 0)(x - 3) + 3.2x + 6

y = a(x)(x - 3) + 3.2x + 6

Finally, substitute 10 for x and -4 for y in the equation above to find a.

-4 = a(10)(10 - 3) + 3.2*10 + 6

-4 = a(10)(7) + 32 + 6

-4 = 70a + 38

-42 = 70a

a = -0.6

Simplify to write in standard form.

y = -0.6(x)(x - 3) + 3.2x + 6

y = -0.6x^2 + 5x + 6

You might be interested in
When h has the value 4 calculate 16-3h
Westkost [7]


Substitute the 4 for h so you have:

16-3*4

16-12

4

Therefore, when h=4, 16-3h=4.

6 0
3 years ago
Which statement about pentagon's and hexagons are true ​
iragen [17]

Answer:

b

Step-by-step explanation:

7 0
3 years ago
Someone please help me if you can!
Dovator [93]
I love these!

Okay, so this is a right angle. That means it is 90 degrees.

So far we know that on side of the angle is 47 degrees.

To get the other angle we will just subtract 90 - 47 = 43
8 0
3 years ago
Read 2 more answers
The wheels on Karen’s rollerblades each have a diameter of 5 cm. How far will the rollerblade travel in one turn of the wheel? U
Ierofanga [76]
To find the distance in one turn of the wheel you have to find the circumference of the wheel.

Circumference = pi x d
= 3.14 x 5
= 15.7 cm

therefore the rollerblade wheel will travel 15.7 cm per rotation

hope this helps! if you did not understand a step or concept please let me know!
8 0
3 years ago
Question 3
Thepotemich [5.8K]

Answer:

√(36+9) = √45 = 6.7 this is the answer, just estime it

8 0
3 years ago
Other questions:
  • In a solution,the ratio of salt water by volume is 1:4 .What is the percent of salt in the total solution?
    7·1 answer
  • The variables x and y are related proportionally. When x = 8, y = 20. Find y when x = 80.
    7·1 answer
  • stan and Lisa visit the county fair. if they wait in line for 15 minutes to ride each attraction, how many attractions can they
    5·2 answers
  • Below are two parallel lines with a third line intersecting them.<br> 56°
    14·2 answers
  • Helpppp<br> What is the sum of the first twelve numbers of the sequence 3, 7, 11,<br> 15,...?
    12·1 answer
  • Helpppppp it’s due in 30 minutes.
    11·1 answer
  • Joan made a graph modeling her income and costs for selling x loaves of zucchini bread at the farmers' market.
    15·1 answer
  • Simplifythe expression to a polynomial in standard form. (4x-3)(-2x^2-7x-5)
    14·2 answers
  • The table represents the cost of flowers at the Tigerlily Flower Shop.
    6·1 answer
  • Which statement is not correct?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!