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
dolphi86 [110]
3 years ago
8

What are the coordinates of the vertex of the function f(x) = x2 - 12x + 5?

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
6 0

Answer:

The vertex is the point (6,-31)

Step-by-step explanation:

we have

f(x)=x^2-12x+5

This is a vertical parabola open upward

The vertex represent a minimum

Convert to vertex form

Complete the square

f(x)=(x^2-12x+6^2)+5-6^2

f(x)=(x^2-12x+36)-31

Rewrite as perfect squares

f(x)=(x-6)^2-31 -----> equation in vertex form

therefore

The vertex is the point (6,-31)

You might be interested in
AT&T offers a deal for internet service that is $20 a month. There is an intial fee of $50. If Tim spent $330 on his interne
GenaCL600 [577]

Answer:

162 months

Step-by-step explanation:

if I'm correct it should be 162

3 0
2 years ago
An artisan wants to split his equilateral triangular-shaped piece of glass into four equally sized pieces as part of a window de
jeka94

The triangle QPR having inscribed triangle STU will allow the artisan to divided his glass piece into four equal triangular pieces.

In order to divide an equilateral triangle into four equal triangular glass pieces, the artisan must;

  • Take S as the mid-point on PA, T as the mid-point on PR, and U as the mid-point on QR. Thus, S, T, and U are the three mid-points on each side of the equilateral triangle QPR.
  • Now, by joining these mid-points S, T, and U, four equal triangles are made(as shown in the figure).

Since the triangle is equilateral,

PQ = QR = RP

Mid-point divides the lines into equal parts. So,

PS = SQ = QU = UR = RT = TP

Thus, it is proved that

ΔPST = ΔSTU = ΔTUR = ΔQSU

Learn more about 'Equilateral Triangle' here:

brainly.com/question/2855144

8 0
2 years ago
Please help asap
FromTheMoon [43]

Answer: $9

Step-by-step explanation:

10 percent of 9 or 90 broken into 10 parts is 9 also 90 divided by 10 is 9

3 0
2 years ago
you bought a 7 notebooks at the school supply store cost $4.76 what is the unit rate explain how you determined your answer use
Contact [7]
You paid $4.76 total for 7 notebooks. To figure out how much each individual notebook cost, you divide the total cost by the number of things you bought, so Cost of One Notebook = Total Cost of Notebooks / Number of Notebooks = $4.76 / 7 = $0.68 This is the unit rate. To buy three notebooks, you just calculate the total cost of three notebooks at this price point, so Cost of Three Notebooks = Cost of One Notebook * 3 Notebo0ks = $0.68 * 3 = $2.04
6 0
2 years ago
Which is the least ...0.105 0.501 0.015 0.15
sergeinik [125]
The least is 0,015

hope this will help you 
3 0
3 years ago
Read 2 more answers
Other questions:
  • What is the midpoint of s segment in the complex plane with endpoints at 6-2i and -4+6i?
    8·1 answer
  • A garden is 5 yards 12 inches wide and 2 yards long. Write the ratio of the width to the length as a fraction in simplest form.
    15·1 answer
  • What is the distance between the points (-4, 2) and (3,-5)?
    11·1 answer
  • Helppp<br>I don't know it's correct​
    9·2 answers
  • Find the missing side<br> V=252ft3<br> 7ft , 3ft , ??ft
    10·1 answer
  • Complete the following statement.
    9·1 answer
  • Consider vectors A =1,0i+1,0j-2,0k and B= -1,0i+1,0j+2,0k, and calculate dot product of A and B ​
    13·1 answer
  • Determine whether each sequence is an arithmetic sequence. Write yes or no. Explain. 7, 10, 13, 16, ...​
    9·1 answer
  • Simplify the expression.<br> 3 - 4 +7 - 4
    10·1 answer
  • (x + 1)(x + 2)(x + 1)(3x + 2)
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!