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
nordsb [41]
4 years ago
11

The graph of a quadratic function contains (4,-64) and it's vertex is at the origin.write an equation for this function.

Mathematics
1 answer:
lesya692 [45]4 years ago
5 0

Answer:

Step-by-step explanation:

Not sure what form you need this in, but it really doesn't matter, as you'll see in the final equation.  I used the vertex form and solved for a:

y=a(x-h)^2+k

We are given the vertex (h, k) as the origin (0, 0), and we have a point that the graph goes through as (4, -64).  That's our x and y.  Plugging in what we have:

-64=a(4-0)^2+0 gives us

-64 = 16a and

a = -4.  That means that the quadratic equation is

y=-4x^2  which is both vertex form and standard form here, no difference.

You might be interested in
A 3:5 by 5:5ft mirror is placed in a wooden frame. What is the area of the frame?
Flura [38]

Answer:

19.25

Step-by-step explanation:

because 3.5 ×5.5 is 19.25

7 0
3 years ago
. Lightning Strikes It has been said that the probability of being struck by lightning is about 1 in 750,000, but under what cir
mrs_skeptik [129]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

      P(U |D ) = 0.198

b

   P(O\ n \ B) = 0.188

c

  P(O | B) =   0.498

Step-by-step explanation:

The total number of deaths is mathematically represented as

      T   =  16 +  23 + \cdots  +  16

        T   =623

The total number of deaths in 1996 - 2000 is mathematically represented as

     T_a =  16 +  23+ \cdots + 30

      T_a = 235

The total number of deaths in 2001 - 2005 is mathematically represented as

     T_b =  17 +  16 + \cdots + 23

      T_b = 206

The total number of deaths in 2006 - 2010 is mathematically represented as

     T_c =  15 +  17 + \cdots + 16

      T_d = 182

Generally the the probability that it would occur under the tree given that the death was  after  2000 is mathematically represented as

     P(U |D ) = \frac{P(A \ n\  U )}{P(A)}

Here  P(A \ n\  U ) represents the probability that it was after 2000 and it was under the tree and this is mathematically represented as

         P(A \ n\  U )   = \frac{Z}{ T}

Here Z is the total number of death under the tree after 2000 and it is mathematically represented as

         Z =  35 +  42

=>       Z =  77

=>       P(A \ n\  U )   = \frac{77}{ 623}

=>      

Also

     P(A) is the probability of the death occurring after 2000  and this is mathematically represented as

        P(A) =  \frac{T_b  +  T_c}{ T}

=>      P(A) =  \frac{ 206+  182}{623}

=>  

So

         P(U |D ) = \frac{\frac{77}{ 623} }{ \frac{ 206+  182}{623}}

=>      P(U |D ) = 0.198

Generally the probability that the death was from camping or being outside and was before 2001 is mathematically represented as

      P(O | B) = \frac{T_z}{ T}

Here T_z is the total number of death outside / camping before 2001  and the value is  117  

So

            P(O \ n \ B) = \frac{117}{623}

=>          P(O\ n \ B) = 0.188

Generally the probability that the death was from camping or being outside given that it was before 2001 is mathematically represented as

       P(O | B) =  \frac{ P( O \ n \ B)}{ P(B)}

Here P(B) is the probability that it was before 2001 , this is mathematically represented as  

          P(B ) =  \frac{T_a}{T}

=>       P(B ) =  \frac{235}{623}

So

          P(O | B) =  \frac{ \frac{117}{623}}{ \frac{235}{623}}

=>       P(O | B) =   0.498

5 0
3 years ago
Simplify each expression then state the coefficient of the variable in each expression <br> X+x+3+4
oksian1 [2.3K]

Answer:

2x +7

The coefficient of the variable is 2

Step-by-step explanation:

x+x+3+4

Combine like terms

2x +7

The coefficient of the variable is 2

6 0
3 years ago
Use the figure to find the measures of the numbered angles. Then, explain how you determined each of the numbered angle measures
fenix001 [56]

Answer:

see below

Step-by-step explanation:

∠1 = 61°

∠2 = 119°

∠3 = 61°

∠4 = 119°

∠5 = 119°

∠6 = 61°

∠7 = 119°

-------------------------------

∠1 = 61°   = as given

∠2 = 119° = ( 180 - 61 ) = 119°

∠3 ≅ ∠1  opposite angles are equal (congruent)

∠4 ≅ ∠2  opposite angles are equal (congruent)

∠5 ≅ ∠2 or parallel

∠6 ≅ ∠3 ≅ ∠1

∠7 ≅ ∠5

7 0
3 years ago
PLEASE ANSWER ASAP FOR BRAINLIEST
weqwewe [10]
Answer is D. 3^3 and 2^2
4 0
3 years ago
Read 2 more answers
Other questions:
  • A rectangular living room measures 6 by 15 feet. At $26 per square yard, how much will it cost to carpet the room
    15·1 answer
  • A coach chooses six out of eight players to go to a skills workshop. if order does not matter, in how many ways can he choose th
    8·2 answers
  • Simplify the following 3/4+5 -1/2 (show steps)
    13·2 answers
  • Solve the inequality.<br> 4v+9≤5 or -3v≥-6
    7·1 answer
  • Please answer this question i will give brainliest!
    13·2 answers
  • Answer number 4,6,7,8
    15·1 answer
  • If you know grometry plzz help<br><br>If m.XYZ = 136º, solve for x. (10x - 8)​
    8·1 answer
  • The sales tax in one state is 7%. Write a function rule for finding the total cost of an item with selling price x. Then find th
    5·1 answer
  • 2. Suppose that you are looking for a student at your college who lives within five miles of you. You know that 55% of the 25,00
    9·1 answer
  • You invest AED 5000 in a saving account that earns 4% interest each year. If you do not use the account for a year, how much mon
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!