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
galben [10]
3 years ago
9

Complete the square to determine the minimum or maximum value of the function defined by the expression. x2 − 12x − 2

Mathematics
1 answer:
ad-work [718]3 years ago
5 0

Answer:

The minimum value = -38

Step-by-step explanation:

∵ f(x) = x² - 12x - 2

∵ -12x ÷ 2 = -6x ⇒ -6 × x

∴ (x - 6)² = x² - 12x + 36

∴ Add and subtract 36 in f(x)

∴ f(x) = (x² - 12x + 36) - 36 - 2

∴ f(x) = (x - 6)² - 38 ⇒ completing square

∴ The vertex of the parabola is (6 , -38)

∵ Its minimum point because the coefficient of x² is positive

∴ The minimum value = -38

You might be interested in
Identify the domain of the function shown in the graph.
OverLord2011 [107]
The domain of the function would be -5
Th answer is would be D
5 0
3 years ago
Can some one help me asap
zavuch27 [327]
It'd be easier to do #18 if y ou were to break it up:

                                                        14* (first term + 14th term)
Sum from n=1 to 14 of n =  S      = ---------------------------------
                                               14                       2
                                    
     14(1+14)
= ---------------- = 7(15) = 105 
           2

The sum of twice that is 210.  The sum of "1 from n=1 to n=14" is just 14.

The final sum is 210 + 14 = 224 (answer)
4 0
3 years ago
BRAINLIST
777dan777 [17]
Answer:

Naomi must buy a minimum of 5 blocks of cream cheese.


Explanation:

2.75 pounds = 44 ounces

44 oz divided by 8 oz (per block) =
5.5 blocks of cream cheese

She already has 4 oz of cream cheese so subtract 1/2 block of cream cheese.

She needs to buy at least 5 blocks.


5 0
3 years ago
Read 2 more answers
What is the surface area?????
Elenna [48]

The area of a triangle is found using the formula Area = 1/2 x base x height.


Base = 8

Height = 18.


The area of 1 triangle = 1/2 x 8 x 18 = 72 square units.


There are a total of 4 sides, so total area = 72 x 4 = 288 units ^2

5 0
3 years ago
Lines d, e, and f are parallel. That means they have the same slope. Each of these lines has a slope of −3. Enter numbers to com
Sloan [31]

Answer:

Line d : y = -3x - 3

Line e : y = -3x - 2

Line f  : y= -3x + 2

Step-by-step explanation:

Given that,

The slope of each line is -3.

Now,

We know that,

Equation of line is represented by y = mx + c

where m is the slope and c is the y-intercept.

Now,

Given that,

Line d goes through (0, - 3) and (- 1, 0).

So,

y-intercept of Line d is -3

∴ we get

Equation of Line d is : y = -3x -3

Now,

Given that,

Line e goes through (-1, 2) and (0, -2).

So,

y-intercept of Line e is -2

∴ we get

Equation of Line e is : y = -3x - 2

Now,

Given that,

Line f goes through (0, 2) and (1, -1).

So,

y-intercept of Line e is 2

∴ we get

Equation of Line f is : y = -3x + 2

6 0
3 years ago
Other questions:
  • Solve the inequality
    8·1 answer
  • Can i have some help with this?
    9·1 answer
  • Choose the equation that represents a line that passes through points (−3, 2) and (2, 1).
    14·1 answer
  • What single transformation was applied to triangle A to get triangle B
    9·1 answer
  • Triangle ABC is graphed on a plane. Within the triangle, point A(−6,8), point B(−6,2) and point C(1,2). If △ABC is reflected ove
    15·1 answer
  • For bowmaian000 please check
    7·1 answer
  • Find the unit rate. Round to the nearest hundredth, if necessary.
    11·1 answer
  • Okay i have to do a whole test and i need help!! <br> The picture is up there!
    10·2 answers
  • Kenzie will save 15% if she opens a credit card. She wants to buy a jacket for $120. How much will she save if she opens a credi
    8·2 answers
  • What is the partial fraction decomposition of startfraction 7 x squared minus 6 x + 9 over 3 x (4 x squared + 9) endfraction?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!