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
expeople1 [14]
4 years ago
5

What is f(x)=3x^2-18x+23 into vertex form

Mathematics
1 answer:
Snowcat [4.5K]4 years ago
5 0
3x^2-18x+23=3(x^2-6x)+23=3(x^2-6x+9-9)+23
\quad=3((x-3)^2-9)+23=3(x-3)^2-27+23=3(x-3)^2-4

The vertex is then (3,-4).
You might be interested in
To support National Heart Week, the Heart Association plans to install a free blood pressure testing booth in El Con Mall for th
worty [1.4K]

Answer:

(a) Average number expected = 13.07 people

(b) Average number of persons = 14 persons

(c) Average amount of time = 0.9333 hours

(d) Time taken = 1 hour

Step-by-step explanation:

We are informed that the arrivals have a Poisson distribution from an infinite population. On average, 14 persons per hour request a test. Hence,

Arrival rate = λ = 14

Each blood pressure measurement takes 4 minutes. In 1 hour, 60 / 4 = 15 persons are served. Hence,

Service rate = μ = 15

(a) Average number in line = (λ^2) / μ(μ - λ)

                                             = (14^2) / 15(15 - 14)

                                             = 13.07

(b) Average number in system = λ / (μ - λ)

                                                   = 14 / (15 - 14)

                                                   = 14

(c) Average waiting time = Average number in line / λ

                                         = 13.07 / 14

                                         = 0.9333

(d) Average total time = Average number in system / λ

                                     = 14 / 14

                                     = 1

6 0
3 years ago
If y=mx, and y is 12 when x is 4, then what is the constant of proportionality in this equation?A. 1/3B. 3C. 8D. 16
Anna007 [38]
\begin{gathered} y=mx\text{  when  x=4 and y=12} \\ 12=m(4) \\ 4m\text{ =12} \\ m=\frac{12}{4}=3 \end{gathered}

The constant of proportionality,m, is 3 (option B)

5 0
1 year ago
What's the equation of the line that passes through the points (-7,0) and (-7,8)
serious [3.7K]

Answer: x = -7

Step-by-step explanation: use the slope formula and slope intercept form y = mx + b to find the equation

4 0
3 years ago
Read 2 more answers
The nominal level of data describes what type of information? Multiple choice question. Observations of a quantitative variable
iren [92.7K]

Answer:

Observations of a qualitative variable that can only be classified and counted.

Step-by-step explanation:

A level of measurement can be defined as a classification which is used to illustrate the attributes of the values assigned to variables. There are four (4) basic levels of measurement for a variable and these are;

1. Interval: data can be arranged in an ordering scheme and subtracting its differences is meaningful. Examples are year, temperature, time etc.

2. Ratio: data can be arranged in an ordering scheme and subtracting its differences is meaningful with respect to the value of true zero. Examples are height, price, weight, distance etc.

3. Ordinal : data can be arranged in an ordering scheme but subtracting its differences is meaningless or impossible. Examples are happy, sad etc.

4. Nominal : is characterized by data that are non-numerical, comprises of categories, labels or names and can't be arranged in an ordering scheme.

Hence, the nominal level of data describes observations of a qualitative variable that can only be classified and counted.

For example, an end of year stock classification (high yield, medium yield, or low yield) for a business firm is a nominal level of measurement because they are categorized or classified. Also, this type of data is qualitative because it describes the quality of the stock and it's non-numerical in nature.

5 0
3 years ago
the employee turn structure instructor ratio is 12 to 2 if there are 22 instruction instructors for the train how many employees
garik1379 [7]
There are 132 employees that participate
3 0
3 years ago
Other questions:
  • Triangle LMN is similar to triangle PQR. Which of the following sets of side lengths could be those of triangle LMN.
    6·2 answers
  • Ay, y'all are awesome, please help me out with this, thank you so much! I'll add some extra points, I appreciate it.
    5·1 answer
  • WILL GIVE BRAINLYEST AND 30 POINTS Which of the followeing can be qritten as a fraction of integers? CHECK ALL THAT APPLY 25 squ
    10·1 answer
  • The triangular sail on Esther's sailboat measures 10.5 feet, 14 feet and 17.5 feet on its three
    11·1 answer
  • SOMEONE HELP ME PLS..
    14·1 answer
  • HELP PLS.......................its asking me to "Put your answer in decimal form. "
    10·1 answer
  • the world population in 2016 was estimated to be 7.4 billion people and it is increasing by about 1.1% per year. assume that thi
    9·1 answer
  • THE MEASURE OF ANGLE #2 <br><br> THE MEASURE OF ANGLE #3
    14·2 answers
  • Lucy made $132 for 11 hours of work.
    5·1 answer
  • From the top of a tower 120m high the angle of depression of a stone on the ground is found to be 30°. How far is the stone from
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!