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
dexar [7]
3 years ago
6

Which point gives the vertex of ƒ(x) = –x2 + 4x – 3?

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
4 0

Answer:

The vertex is (2,1)

Step-by-step explanation:

ƒ(x) = –x^2 + 4x – 3

Factor out the negative

   = -(x^2 -4x+3)

 Factor

What 2 numbers multiply to +3 and add to -4

-3*-1 = 3

-3+-1 = -4

f(x) =  -( x-3)(x-1)

Find the zeros

0 = -( x-3)(x-1)

0 = x-3   0 = x-1

x=3            x=1

The x value of the vertex is 1/2 way between the two zeros

(3+1)/2 = 4/2 =2

To find the y value, substitute x=2 in

f(2) =  -( 2-3)(2-1)

       =-(-1)(1) = 1

The vertex is (2,1)

You might be interested in
Find the distance (7,-8) and (0,2)
Kobotan [32]

Answer:

d = √149 = 12.2

Step-by-step explanation:

Distance between 2 coordinates: d = √[(x2 − x1)^2 + (y2 - y1)^2]

d = √[(0 - 7)^2 + (2 - -8)^2]

d = √[(-7)^2 + (10)^2]

d = √[49 + 100]

d = √149 = 12.2

7 0
2 years ago
Two students start a club the first week of school. Each member invites three new members the second week of school. Each of the
Mekhanik [1.2K]
I'll just make a manual computation on how 1 member recruits his members until week 5. Then multiply the sum by 2.
                                old      new
1:   1
2:   1 x 3 = 3 ⇒        1         3       *only new members recruit 3 more
3:   3 x 3 = 9 ⇒        4         9 
4:   9 x 3 = 27⇒     13       27
5: 27 x 3 = 81 ⇒    40       81

40 + 81 = 121. Total number of members under 1 founding member.

121 x 2 founding members = 242 total number of members within 5 weeks.
3 0
3 years ago
Read 2 more answers
Does this table represent a proportional relationship?<br><br> Yes<br> No
Contact [7]

no

the table does not represent a proportional relationship.

4 0
3 years ago
Still in class please need this fast
ivanzaharov [21]

Answer:

12 km

Step-by-step explanation:

C is 5 km

4+3+5=12

pls brainliest

7 0
2 years ago
Read 2 more answers
Please help me out i will mark brainliest!
asambeis [7]

Answer:

y=-x+2

x+y=2

Step-by-step explanation:

hopefully this helps :)

8 0
3 years ago
Read 2 more answers
Other questions:
  • Find the missing length
    5·1 answer
  • How can right triangles be similar based on their angles
    12·1 answer
  • A1 Plumbing Services charges $35 per hour plus a $25 travel charge for a service call. Good Guys Plumbing Repair charges $40 per
    12·1 answer
  • PLEASE ANSWERRRRRRRRRRRR
    7·2 answers
  • Help me I don’t get this
    9·1 answer
  • What is 5×3/4 as a mixed number?
    6·2 answers
  • The solution to the given system of linear equations lies in which quadrant?
    14·1 answer
  • The New England Revolutions are having a charity soccer event for which tickets cost $18 per person. However, the ticket agency
    7·1 answer
  • The store pays 120 for a bike the store is going out of business and is selling all of the bikes at a 30% discount what is the s
    7·2 answers
  • What is the exact value of e?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!