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
posledela
3 years ago
12

If f(x) = x2 − 6x + 19, complete the square and determine the minimum or maximum value of the function

Mathematics
1 answer:
lara31 [8.8K]3 years ago
8 0

Answer:

minimum value = 10

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

To obtain this form using completing the square

add/subtract ( half the coefficient of the x- term )² to x² - 6x

f(x) = x² + 2(- 3)x + 9 - 9 + 19

     = (x - 3)² + 10 ← in vertex form

with (h, k) = (3, 10 )

To determine maximum or minimum consider the value of a

• If a > 0 then minimum value of k

• If a < 0 then maximum value of k

Here a = 1 > 0, hence minimum value of k = 10

You might be interested in
You invest $15,000 into two different accounts. One of the accounts has 4% interest and the other has 3.2% interest. After one y
aivan3 [116]

Answer:

(4%) ... $8200

Step-by-step explanation:

x + y = 15000

.04x + .032y = 545.60

y = 15000 - x

.04x + .032(15000 - x) = 545.60

.008x = 65.6

x=8200

6 0
2 years ago
What is the answer to this. Please help ASAP.
Zigmanuir [339]
V of rec. prism = whl = 3x5x6 = 90
V of cone = 3.14 x (3)^2 (8) /3= 75.36

90 - 75.36 = 14.64

answer
14.64
6 0
3 years ago
A system of linear inequalities is shown below:
Yuki888 [10]
The 4th selection is appropriate:
  The first line is a dashed line which joins ordered pairs (-2, 1) and (3, 1). The second line is a dashed line and joins ordered pairs (-2, -2) and (3, 3). The portion common above the first line and above the second line is shaded

6 0
2 years ago
yall im timed please help! ill give you 20 more points when I'm done with my test and you get it correct
taurus [48]
I think it’s linear
4 0
3 years ago
Read 2 more answers
the mean temperature is -3.2 Fahrenheit per day for 5 days. What is the total change over the 5 day period
vazorg [7]
The total change will be 16.
8 0
3 years ago
Other questions:
  • Which series of transformations take the graph of f(x)=4x+9 to the graph of g(x)=−4x+7 ?
    12·2 answers
  • Write each ratio statement as a fraction and reduce the two lowest terms 14:42
    12·2 answers
  • Bill and Pete shared 1/2 of a cake. Bill got to eat twice as much cake as Pete. What fraction of the whole cake did Bill eat?
    5·1 answer
  • Can somebody help me pls!!!
    5·2 answers
  • .0066% converted to decimal is:
    12·2 answers
  • The area of the rug is 36 1/4 square feet the rug is 8 3/4. what is the length of the rug?
    9·2 answers
  • Sub to me at kalelowsdoes12 and I will sub to you on 5 accounts anyone
    14·2 answers
  • What is the Slope in the equation y= -2x +5
    12·2 answers
  • At a zoo, 7 monkeys ate 35 bananas in one day. At
    5·2 answers
  • Pls answer the top one!
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!