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
Quadrilateral ABCD is inscribed in a circle. What is the measure of angle A?
Anvisha [2.4K]
Angle A measures to 59 degrees.
5 0
3 years ago
Marcia bought a 50 foot roll she used two 8 and 5/6 how much if left​
inna [77]

Answer:

vvvvv

Step-by-step explanation:

I suspect two 8 means 8x2, but if it means 2+8, I'll add another answer.

1. 8x2= 16 + 5/6(.83) = 16.83 = 50-16.83= 33.17

ORRRRR

2. 2+8=10+.83= 10.83 = 39.17

8 0
3 years ago
Select all quantities that are proportional to the diagonal length of a square.
horsena [70]

Answer:

B. Perimeter of a square and

C. Side length of a square​

Step-by-step explanation:

if n= side length of square then

  • Area of square is n^{2}
  • Perimeter of a square is 4×n
  • diagonal length of a square is \sqrt{2} × n

Thus,

Perimeter of square can be expressed as

2\sqrt{2}×diagonal length of a square

Side length of a square can be expressed as

\frac{1}{\sqrt{2} }×diagonal length of a square

but Area of square is

\frac{1}{\sqrt{2} }×n×diagonal length of a square

As a Result,  Area of square is <em>also dependent of the value n</em>, wheras in other cases it is <em>a proportion of diagonal length of a square</em>

5 0
3 years ago
4. Kristina is allowed to have a friend sleep over every 3rd weekend,
PSYCHO15rus [73]

Answer:

6

Step-by-step explanation:

You must find the least common multiple of their schedules.

The numbers 3 and 2 are their own prime factors, so the least common multiple of 3 and 2 is 6.

Six weekends must pass until they can both have someone over on the same night.

The number line below shows that the first time their sleepovers coincide is Week 6.

3 0
3 years ago
the measures of the side of a triangle are 4√2 cm, 4√2 cm qnd 8√2 cm. what is the perimeter of the triangle?​
spin [16.1K]

Answer:

16\sqrt{2}

Step-by-step explanation:

Add up all the sides to get the perimeter:

4\sqrt{2} + 4\sqrt{2} +8\sqrt{2} = 16\sqrt{2}

8 0
3 years ago
Other questions:
  • Scores on a dental anxiety scale range from 0​ (no anxiety) to 20​ (extreme anxiety). The scores are normally distributed with a
    14·1 answer
  • 10. In a class A of 25 students, 20 passed with 60% or more marks; in another class B of 30 students, 24 passed with 60% or more
    15·2 answers
  • Solve t^2a=t^2e−r for t<br> <img src="https://tex.z-dn.net/?f=t%5E%7B2%7Da%3Dt%5E%7B2%7De-r" id="TexFormula1" title="t^{2}a=t^{2
    12·1 answer
  • If the parent function f(x)= x is modified to g(x)= 2x^2+ 1, which statement is true about g(x)?
    14·1 answer
  • CAN ANYONE HELP ME THAT IS GOOD IN MATH
    12·1 answer
  • The area of a rectangle is expressed as (14r + 21) square feet. If the width of the
    7·1 answer
  • Colin and amil Each built boxes with a volume of 8 ft.³ Collins box is a cube almils box is a rectangular prism the length of am
    5·1 answer
  • A tape diagram. 0 dollars is 0 percent. Question mark dollars is 35 percent. 49 dollars is 100 percent.
    14·2 answers
  • What is the difference between a regular and irregular quadrilateral?
    7·1 answer
  • If 4x + 3y = 5 is a true equation, what would be the value of 4(4x + 3y)? ​
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!