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
prohojiy [21]
4 years ago
9

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

Mathematics
1 answer:
beks73 [17]4 years ago
5 0
Rewrite in standard form using (h,k) to find the vertex.
(3,4) is the answer.
You might be interested in
4(8 + 3x) Describe the two factors in this question.
Georgia [21]
4(8 + 3x)
4(8) + 4(3x)
32 + 12x
3 0
3 years ago
Three fair dice are rolled, one red, one green and one blue. What is the probability that the upturned faces of the three dice a
r-ruslan [8.4K]

Answer:   \dfrac{5}{9}

Step-by-step explanation:

When we throw a die , Total outcomes =6

When we throw 3 dice , Total outcomes = 6 x 6 x 6 = 216 [by fundamental counting principle]

Given : Three fair dice are rolled, one red, one green and one blue.

Favorable outcomes : When the upturned faces of the three dice are all of different numbers i.e. no repetition of numbers allowed

By Permutations , the number of favorable outcomes = ^6P_3=\dfrac{6!}{(6-3)!}=\dfrac{6!}{3!}=6\times5\times4=120

The probability that the upturned faces of the three dice are all of different numbers = \dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

=\dfrac{120}{216}=\dfrac{5}{9}

The probability that the upturned faces of the three dice are all of different numbers  is \dfrac{5}{9} .

7 0
3 years ago
A triangular swimming area is marked off by a rope.
Goryan [66]

Δ perimeter of swimming area:

  • total length measure of all sides
  • 200√3 + 200√6 + 400 + 200
  • ( 200√3 + 200√6 + 600 ) m
  • 1436.3 m

Δ area of roped off section:

  • 1/2 base * height
  • 1/2 * (200+200√3)(200√3)
  • 20000√3 + 60000 m²
  • 94641 m²
6 0
2 years ago
Given the following formula solve for i <br>P= 2(i+b) <br>​
loris [4]

Answer:

B

Step-by-step explanation:

Given

P = 2(l + b) ← distribute

P = 2l + 2b ( subtract 2b from both sides )

P - 2b = 2l ( divide both sides by 2 )

\frac{P-2b}{2} = l → B

5 0
3 years ago
The average lifespan of individuals in a population was measured before and after the cure for a disease was discovered. The ave
Lady bird [3.3K]

Answer:

A.  

exponential

Step-by-step explanation:

Exponential is best suited here because life span gradually increases from b to a over the years continuously.  Whenever there is a continuous steady increase, exponential function is more suitable.

Logrithamic function will not suit because rate of change of log is 1/x and if x population is very large this will be almost equal to 0 which is not correct.

But exponential say a^x rate of increase= a^x log a and when a is small this will represent a slow steady state of increase.

Step function will not suit as step functions are discontinuous at every integral value, but the population function is a continuous function.

Absolute value function is suitable only for functions symmetrical about a particular value of x or y

But here there is no symmetry but steady increase. Hence exponential is the best suitable graph.

5 0
3 years ago
Read 2 more answers
Other questions:
  • How to write 6, 007,200 in expanded form
    7·2 answers
  • Mari has 3 friends who are available to go with her to the movies, but she only has 2 extra tickets. How many different choices
    15·1 answer
  • The graph shows a system consisting of a linear equation and a quadratic equation. What is the solution to the system?
    7·1 answer
  • Find the first four terms of the sequence given the rule:<br> an = 4(5)n-1
    6·1 answer
  • John has a choice of two health plans being offered by his employer. The first plan has a $25 co-pay for each doctor visit and h
    11·2 answers
  • This equation is 2/5y+8=20 what is the answer?
    15·1 answer
  • Mason's favorite brand of peanut butter is available in two sizes. Each size and its price are shown in the table. Use the table
    10·2 answers
  • Southwood Valley Elementary School read 7,784 books in eight months. They read the same number of books every month. How many bo
    13·1 answer
  • What is the area of this piece fabric? IM GIVING BRAINLIEST
    14·1 answer
  • Identify the property of (-12)+12=0
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!