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
Zigmanuir [339]
2 years ago
6

13. Find the vertex of f(x)=x2 -6x +8 .

Mathematics
1 answer:
Mekhanik [1.2K]2 years ago
6 0

9514 1404 393

Answer:

  a  (3,-1)

Step-by-step explanation:

The number that "completes the square" is the square of half the x-coefficient, (-6/2)^2 = 9. Rearranging the given function to include the square trinomial, we have ...

  f(x) = x^2 -6x +9 -1 . . . . . . . here, we have 8 = 9 - 1

  f(x) = (x -3)^2 -1 . . . . . . . . . . vertex form

Comparing this to the generic vertex form ...

  f(x) = (x -h)^2 +k . . . . . . . vertex at (h, k)

we see that h=3 and k=-1.

The vertex is (h, k) = (3, -1).

You might be interested in
Define least common multiple​
AlexFokin [52]

Answer:

the smallest common multiple of two or more numbers

Step-by-step explanation:

6 0
3 years ago
Apple weights in an orchard are normally distributed. from a sample farmer fred determines the mean weight of a box of apples to
Serjik [45]
<span>Mean = 270 Standard deviation = 10 x = 255 Formula for z-score, z = (x - mean)/SD z = (255 - 270) / 10 => z = -15 / 10 => z = -1.5 So by referring to z-table, -1.5 correlates to 0.0668 that implies to 0.07 So 7% of the boxes of Apples weight less than 255oz. The percentage of boxes is in the range of 255 oz and 270 oz, Now calculating the requiring percentage 50% - 7% = 43%</span>
7 0
3 years ago
Read 2 more answers
How to find the area of a square ABC D
____ [38]

Answer:

The answer to your question is 13 u²

Step-by-step explanation:

We know that the small triangle is surrounded by right triangles so we can use the Pythagorean theorem to find the lengths  of the small triangle

                 AD² = 3² + 2²

Simplify

                 AD² = 9 + 4

                 AD² = 13

                 AD = \sqrt{13}

Find the area of the square

Area = side x side

Area = AD x AD

Area = \sqrt{13} x \sqrt{13}

Area = 13 u²                  

6 0
3 years ago
What ratios are equivalent to 4:3
Brums [2.3K]

Answer:

here are a few that are equivalent

8:6

28:21

48:36

68:51

4 0
3 years ago
Read 2 more answers
Which of the following is equivalent to (x2+y)(y+z)? Explain your answer
PolarNik [594]

Answer:

X^2y+x^2z+y^2+yz

Step-by-step explanation:

x^2(y+z)+y(y+z)

x^2y+x^2z+y^2+yz

basically you distrinbute the first bracket to the second bracket

4 0
2 years ago
Other questions:
  • Lilith is making a snack mix for her friends. The recipe shows the amount of each ingredient needed to make 8 bags. If Lilith fo
    7·1 answer
  • The graph shows the path of light from a wall reflecting off mirrored ceiling tiles, where x is the distance from the wall in fe
    8·2 answers
  • PLEASE HELP, GEOMETRY WILL GIVE BRAINLIEST ANSWER.
    6·2 answers
  • Write a problem that uses a fraction.
    9·2 answers
  • 1. y = 2x + 5<br> What is the linear transformation
    12·1 answer
  • Can you prove that the quadrilateral is a parallelogram based on the information? Support your response with an explanation. (4
    12·1 answer
  • PLEASE HELP ILL GIVE MORE IF ITS RIGHT
    13·1 answer
  • Please help me!! Will give brainlyist
    15·1 answer
  • Which of these is NOT a terminating decimal?<br> A) 1.88<br> B) 1.875 <br> C) 0.88<br> D) 0.8
    15·1 answer
  • Can someone be kind enough and help me I've posted my question many times and no one has answered​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!