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
Licemer1 [7]
3 years ago
7

Write a quadratic function given the roots (3,0) and (-1,0) and the point (-3,3)?

Mathematics
1 answer:
kumpel [21]3 years ago
3 0

a quadratic function given the roots (3,0) and (-1,0) and the point (-3,3)

when p and q are the roots    then we use equation

y = a(x- p)(x-q)

We are given with roots 3  and -1

y = a(x- 3)(x-(-1))

y = a(x- 3)(x + 1)

Now we use the given point (-3,3) to find out 'a'

3 = a(-3- 3)(-3 + 1)

3= a(-6)(-2)

3= 12a

divide by 12 on both sides

a= \frac{1}{4}

Replace the value of 'a'

f(x)= \frac{1}{4}(x-3)(x+1)





You might be interested in
✨SOLVE THE SOLUTION TO EACH SYSTEM OF INEQUALITIES ✨ PLS HELPPPPP ME
muminat
i saw its C because where the solutions are located. sorry if it’s wrong, i’m rusty
7 0
3 years ago
pls There are (4^9)^5 ⋅ 4^0 books at the library. What is the total number of books at the library? A.4^9 B. 4^45 C. 4^46 D. 1  
jekas [21]
We know that there are (4^9)^5 ⋅ 4^0 at the library, so we just need to simplify this to get the answer.
(4^9)^5 ⋅ 4^0
=(4^9)^5×1
=(4^9)^5
=4^9×5
=4^45. As a result, the total number of books at the library is 4^45 books at the library or B is the final answer. Hope it help!
6 0
3 years ago
71 degrees Determine the value of x.
Bond [772]

Answer:

A) 109 degrees

The answer is 109 degrees because each opposite angle added equals 180°. 180-71= 109

Good luck on your assignment ⊂(◉‿◉)つ

8 0
3 years ago
Help please and how to did it cuz I’m confused
Brrunno [24]

Answer:

-125

Step-by-step explanation:

Step 1: Find g(-1)

g(x) = -5x²

g(-1) = -5(-1)²

g(-1) = -5(1)

g(-1) = -5

Step 2: Find g(-5)

g(-5) = -5(-5)²

g(-5) = -5(25)

g(-5) = -125

6 0
3 years ago
A rectangle has an area of x^3 + 5x^2 + 5x – 2 square meters and a width of x + 2 meters. Find its length.
musickatia [10]

Answer: x^2 + 3x - 1.

Step-by-step explanation: We need to divide x^3 + 5x^2 +5x-2 by x+2. This is dividing polynomials. Divide each number by x and multiply the quotient by 2 and subtract the answer.

5 0
3 years ago
Other questions:
  • Arianna runs up 4.5 flights of stairs. How far will Arianna have to run down to represent an additive inverse?
    5·2 answers
  • Evaluate z + 2+ z for x = 2, y=-3, z = -4.
    10·1 answer
  • The points (4, 9) and (0, 0) fall on a particular line. What is its equation in slope-intercept form?
    15·1 answer
  • Can you plz help I really don’t get it
    11·1 answer
  • One cubic centimeter of a typical cumulus cloud contains 60 water drops, which have a typical radius of 10 μm. (a) how many cubi
    10·1 answer
  • 600 m equals how many km
    14·2 answers
  • How can I tell if a triangle with side lengths 10, 24, and 26 is a right triangle?
    11·1 answer
  • Please HELP I NEED HELPPPPPPPPPPPPP Natasha is constructing the bisector of PQ¯¯¯¯¯. She has already constructed an arc as shown
    9·1 answer
  • Kaya found 25 shells on the beach yesterday today she found 25 more shells she sorted all the shells into 5 piles
    15·1 answer
  • Deshawn’s dog almondine has a growing litter of puppies
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!