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
goldenfox [79]
3 years ago
8

Tell whether the function f(x)=1/2x^2-8x+13 has a minimum value or a maximum value. Then find the minimum value or maximum value

.
Mathematics
1 answer:
AnnyKZ [126]3 years ago
8 0

Answer:

The minimum value of f(x) is -19.

Step-by-step explanation:

Please use parentheses around fractional coefficients to eliminate ambiguity:  f(x)=(1/2)x^2-8x+13.

Because the coefficient of the x^2 term, 1/2, is positive, the graph of this quadratic opens up.  Thus, the vertex represents the minimum of the function.

The equation of the axis of symmetry of this graph is x = -b / (2a).  In this case, x = -(-8) / (2*[1/2]), or x = 8.  Evaluating f(x) at x=8 produces the y coordinate of the vertex:  f(8) = (1/2)(8^2) - 8(8) + 13 = 32 - 64 + 13 = -19.

Thus, the vertex is (8, -19).  The minimum value of f(x) is -19.

You might be interested in
Brent has a $400 console with a credit card that has 25% APR is minimum payment is $10 per month will he pay more and less than
Afina-wow [57]

Answer:

he will pay more

Step-by-step explanation:

in totoal he will pay 413.40 because apr is interest

his interest total will be 13.40$

3 0
2 years ago
(Just the first question) please help!
lara31 [8.8K]

Answer:

Altitude: 11 1/4

Step-by-step explanation:

-3 1/4 x 9 = -29 1/4

Leftover from 35: 5 3/4 + 5 1/2 = 11 1/4

Good luckkk!!

5 0
3 years ago
Does someone know how to do this​
Sveta_85 [38]

Answer:

us

Step-by-step explanation:

(B)

  1. b
  2. b
  3. b
  4. b
  5. b
  6. b
  7. b
  8. b
  9. b
  10. b
  11. b
  12. bbbbbbbbbbbbbb
8 0
3 years ago
I need help on this question
Ainat [17]

x-axis is y=0, so the answer is D.

but not D. Luffy

7 0
3 years ago
Choose the TWO factored binominals for the expression: x2+6x – 27 Question 6 options: A) (x - 3) B) (x - 9) C) (x + 6) D) (x + 9
Vera_Pavlovna [14]

Answer:

A) x-3 and D) x+9

Step-by-step explanation:

x^2 + 6x - 27

You need to find two numbers that multiply to -27 and add up to 6

Those two numbers are -3 and 9, because 9 * -3 = -27 and 9+ -3 = 6

So you add those to x and those are your two factored binomials

(x-3) and (x+9)

4 0
3 years ago
Other questions:
  • What is the yintercept of the line given by the equation below?<br> y= 8x+7
    12·2 answers
  • HELP ASAP I WILL GIVE BRAINLEST!!!
    8·2 answers
  • Of 150 adults selected randomly from one town, 30 of them smoke. Construct a 99% confidence interval for the true percentage of
    13·1 answer
  • 35.83 x 0.028 SHOW WORK! !!!!!!!!!!!!!!!!
    10·1 answer
  • A farmer has a square plot of land he needs defense he walked to the diagonal of the plot of land and found it to be 80 yards ho
    6·2 answers
  • What’s the slope of the line?
    14·1 answer
  • 17.If -4 is zero of the polynomial p(x) = x2
    11·1 answer
  • Easy questions just a bit of help no rush 100 points to do this
    15·1 answer
  • Find the volume.!!!!
    11·2 answers
  • Anyone know cab you solve please and thank you
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!