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
hammer [34]
3 years ago
8

Find the equation of the quadratic function whose graph is a parabola containing the points (0,2), (3,26), and (-1,6).

Mathematics
1 answer:
Arlecino [84]3 years ago
8 0

Answer: y = 3x^2 -x + 2

Step-by-step explanation:

You might be interested in
(15, 31) is rotated 90 ° counterclockwise which coordinates gives me
dezoksy [38]

Answer:

(-31,15)

Step-by-step explanation:

Rotating 90 degrees clockwise is very simple:

(a,b) 90 degrees= (-b,a)

Very simple.

Just switch sides and add negative to the first term.

4 0
3 years ago
Solve the following initial-value problem, showing all work, including a clear general solution as well as the particular soluti
Vikki [24]

Answer:

General Solution is y=x^{3}+cx^{2} and the particular solution is  y=x^{3}-\frac{1}{2}x^{2}

Step-by-step explanation:

x\frac{\mathrm{dy} }{\mathrm{d} x}=x^{3}+3y\\\\Rearranging \\\\x\frac{\mathrm{dy} }{\mathrm{d} x}-3y=x^{3}\\\\\frac{\mathrm{d} y}{\mathrm{d} x}-\frac{3y}{x}=x^{2}

This is a linear diffrential equation of type

\frac{\mathrm{d} y}{\mathrm{d} x}+p(x)y=q(x)..................(i)

here p(x)=\frac{-2}{x}

q(x)=x^{2}

The solution of equation i is given by

y\times e^{\int p(x)dx}=\int  e^{\int p(x)dx}\times q(x)dx

we have e^{\int p(x)dx}=e^{\int \frac{-2}{x}dx}\\\\e^{\int \frac{-2}{x}dx}=e^{-2ln(x)}\\\\=e^{ln(x^{-2})}\\\\=\frac{1}{x^{2} } \\\\\because e^{ln(f(x))}=f(x)]\\\\Thus\\\\e^{\int p(x)dx}=\frac{1}{x^{2}}

Thus the solution becomes

\tfrac{y}{x^{2}}=\int \frac{1}{x^{2}}\times x^{2}dx\\\\\tfrac{y}{x^{2}}=\int 1dx\\\\\tfrac{y}{x^{2}}=x+cy=x^{3}+cx^{2

This is the general solution now to find the particular solution we put value of x=2 for which y=6

we have 6=8+4c

Thus solving for c we get c = -1/2

Thus particular solution becomes

y=x^{3}-\frac{1}{2}x^{2}

5 0
3 years ago
Which polynomial, when added to the polynomial 5x^2–3x–9, is equivalent to:<br><br> x^2–5x+6?
inn [45]
Look at the attachment

8 0
3 years ago
If A(1,2), B(5,-4) and (-3,2) are the vertices of a triangle, which statement holds true?
Zigmanuir [339]

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The correct option is A.

<h3>What is a triangle?</h3>

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.

The length of different sides are:

AB = \sqrt{(5-1)^2+(-4-2)^2} = \sqrt{16+36} = \sqrt{52}\rm\ units

BC = \sqrt{(-3-5)^2+(2+4)^2} = \sqrt{64+36} = 10\rm\ units

AC = \sqrt{(2-2)^2+(-3-1)^2} = \sqrt{16} = 4\rm\ units

Since the length of all the sides of the triangle is not equal it is a scalene triangle.

Hence, the correct option is A.

Learn more about Triangle:

brainly.com/question/2773823

#SPJ1

7 0
2 years ago
Read 2 more answers
Abby used the quadratic formula to find the zeros of the
MArishka [77]

Step 2: She did not simplify under the square root correctly

under the square root:

(-6)^2 =36

and -4(5)(-8) =160

therefore under the square root it needs to be square root of 36+160 which is square root of 196.

That answer is 14 when square rooted

5 0
2 years ago
Read 2 more answers
Other questions:
  • The gross income of Maurice Vaughn is $785 per week.His deductions are $42.25,FICA tax,$90.33,income tax,2% state tax,1% city ta
    9·2 answers
  • A positive real number is 2 less than another. When 4 times the larger is added to the square of the smaller, the result is 49.
    8·1 answer
  • Suppose you are testing The sample is large (n = 71) and the variance, σ2, is known. H0:μ=20 vs H1:μ&gt;20. (a) Find the critica
    8·1 answer
  • The length of the leg of right isosceles triangle is a. Find the length of the hypotenuse.
    9·1 answer
  • Given the function f defined by the formula f(x)=2x+1 find the following
    9·2 answers
  • Simplify the number using the imaginary unit i.<br><br> −144‾‾‾‾‾√
    14·2 answers
  • If you answer correctly I will give you brainlest GOES TO THE FIRST PERSON WHO ANSWERS CORRECTLY!
    14·1 answer
  • Which decimal has the same value as 2/5
    5·2 answers
  • Someone please help????????
    15·1 answer
  • 25 POINTS, QUICKLY PLEASE!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!