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
50 POINTS! Plot function h on the graph.<br><br> NO LINKS
tangare [24]

See attachment for the graph of the piecewise function h(x)

<h3>How to plot the function?</h3>

The function is given as:

h(x) = | -4,    x < 3

         | x + 5,    x >= 3

The above function is a piecewise function.

It has 2 separate functions at two domains

This means that we plot the sub-functions in the piecewise function at their respective domain

See attachment for the graph of the piecewise function h(x)

Read more about piecewise function at:

brainly.com/question/27262465

#SPJ1

3 0
1 year ago
Compute the flux H F of F(x,y) = hxy, x − yi across the boundary of the square given by −1 ≤ x ≤ 1, −1 ≤ y ≤ 1.
Softa [21]

Answer:

4i.

Step-by-step explanation:

To find the flux through the square, we use the divergence theorem for the flux. So Flux of F(x,y) = ∫∫divF(x,y).dA

F(x,y) = hxy,x - yi

div(F(x,y)) = dF(x,y)/dx + dF(x,y)dy = dhxy/dx + d(x - yi)/dy = hy - i

So, ∫∫divF(x,y).dA = ∫∫(hy - i).dA

= ∫∫(hy - i).dxdy

= ∫∫hydxdy - ∫∫idxdy

Since we are integrating along the boundary of the square given by −1 ≤ x ≤ 1, −1 ≤ y ≤ 1, then

∫∫divF(x,y).dA = ∫₋₁¹∫₋₁¹hydxdy - ∫₋₁¹∫₋₁¹idxdy

= h∫₋₁¹{y²/2}¹₋₁dx - i∫₋₁¹[y]₋₁¹dx

= h∫₋₁¹{1²/2 - (-1)/2²}dx - i∫₋₁¹[1 - (-1)]dx

= h∫₋₁¹{1/2 - 1)/2}dx - i∫₋₁¹[1 + 1)]dx

= 0 - i∫₋₁¹2dx

= - 2i[x]₋₁¹

= 2i[1 - (-1)]

= 2i[1 + 1]

= 2i(2)

= 4i  

7 0
3 years ago
URGENT PLEASE HELP WILL GIVE BRAINLIEST TO CORRECT ANSWER ABC factory brought a pile of coal. If the factory burns 1500 kilogram
wolverine [178]

Solving a system of equations, we will see that there are 6000 kg of coal on the pile.

<h3>How many kilograms of coal are in the pile of coal?</h3>

Let's say that there are N kilograms of coal, and it is planned to burn it totally in D days, these are our variables.

We know that:

  • If the factory burns 1500 kilograms per day, it will finish burning the coal one day ahead of planned.
  • If it burns 1000 kilograms per day, it will take an additional day than planned.

Then we can write the system of equations:

(1500)*(D - 1) = N

(1000)*(D + 1) = N

Because N is already isolated in both sides, we can write this as:

(1500)*(D - 1) = N = (1000)*(D + 1)

Then we can solve for D:

(1500)*(D - 1) =  (1000)*(D + 1)

1500*D - 1500 = 1000*D + 1000

500*D = 2500

D = 2500/500 = 5

Now that we know the value of D, we can find N by replacing it in one of the two equations:

(1500)*(D - 1) = N

(1500)*(5 - 1) = N

(1500)*4= N = 6000

This means that there are 6000 kilograms of coal on the pile.

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

7 0
2 years ago
(Please answer soon as possible) At the beginning of the day the stock market goes up 60 3/4 points and stays at this level for
Svet_ta [14]

Answer:

it is 2766628276262626828373636737 points

Step-by-step explanation:

no explanation needed lol

3 0
3 years ago
Read 2 more answers
Can you help me?<br>Answer the question please​
Harlamova29_29 [7]

Hey there! :D

1. c - 7 = 32

To solve this problem, add the difference and the subtrahend of the given equation.

32 + 7 = \boxed{\sf 39}

Checking:

To check, simply substitute the conclusion on the unknown quantity.

39 (c) - 7 = 32

Thus, the equation was correct which gives us the answer that:

\large \boxed{ \sf {\: c = 39}}

\begin{gathered} \\ \end{gathered}

2. r + 4 = 39

To solve this problem, subtract the sum and the addend of the given equation.

39 - 4 = \boxed{\sf 35}

Checking:

To check, simply substitute the conclusion on the unknown quantity.

35 (r) + 4 = 39

Thus, the equation was correct which gives us the answer that:

\large\boxed{ \sf {r \: = \: 35}}

5 0
2 years ago
Other questions:
  • If a line passes through the point (4,-3) and has a slope of 2/3 the point slope equation is
    10·1 answer
  • Regina bought a book for $12 and a game for $14 she paid $40 how much change should Regina receive
    11·2 answers
  • Express the product of 2.03 and 24 to the correct number of significant digits.
    14·2 answers
  • Find a real number between 7 3/5 and 7 4/5
    14·1 answer
  • I need help finding (x) step by step please:) I will reward you will awarding you as a brainliest if you can do this for me.
    12·1 answer
  • Finn travels 25 miles per hour for 2 hours find the distance traveled (nearest tenth)
    13·1 answer
  • Need help pleaseeeeeeeeeeeeeer
    14·1 answer
  • Sorry to bother again, but this is the last one I'll do
    9·1 answer
  • 11.) Ariel has $25. Apple Itunes downloads cost $1.25 each. How many songs can she download and
    9·1 answer
  • TIMED HELP ASAP PLS
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!