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
WARRIOR [948]
3 years ago
7

Does f(x) = 5-4x-x^2 have maximum or minimum

Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
5 0

Answer: when you graph it, it opens down so it will have a maximum

Step-by-step explanation:

You might be interested in
PLEASE HELP!!!!<br> I need to solve for a, b, and c
nirvana33 [79]

Answer:

  • 25000 seats in section A
  • 14100 seats in sectin B
  • 10900 seats in section C

Step-by-step explanation:

The problem statement tells you half the total number of seats are in section A, so you already know that there are 25000 A seats. The revenue from those seats is

... 25000×$25 = $625,000

so the revenue from B and C seats must total

... $1,070,500 - 625,000 = $445,500

If all 25000 of the B/C seats were C seats, the revenue would be

... 25000×$15 = $375,000

The actual revenue from those seats is $445,500 -375,000 = $70,500 more than that. We know each B seat generates $5 more revenue, so there must be ...

... $70,500/$5 = 14,100 . . . . B seats

Then the balance of the 25000 B and C seats are C seats:

... 25,000 - 14,100 = 10,900 . . . . C seats

_____

<em>Alternate Solution Method</em>

The new Brainly answer format requires the answer be supplied before the working. In order to find the answer quickly so that I can fill in that section, I used a matrix method for solving the problem. The problem equations can be written ...

  • a + b + c = 50000
  • a - b - c = 0
  • 25a + 20b + 15c = 1070500

so the augmented matrix is ...

\left[\begin{array}{cccc}1&1&1&50000\\1&-1&-1&0\\25&20&15&1070500\end{array}\right]

A graphing calculator can be used to find the solution to this, generally using a function that produces the reduced row-echelon form. The attachment shows the solution using a TI-84 calculator.

___

<em>Comment on the Working</em>

Since the number of A seats is equal to the total of B and C seats, the number of A seats must be half the total number of stadium seats. Having figured that out, the problem is reduced to one of finding the mix of B and C seats that will produce the remaining revenue.

As with many mixture problems, it is convenient to look at differences. Start with the assumption that all of the desired revenue comes from the least contributor. Here, that is C seats. Then figure the difference that using a B seat makes ($20 -15 = $5) and the difference of the actual revenue and the amount that you got by assuming all C seats: 445,500 -375,000 = 70,500. Since replacing a C seat by a B seat adds $5 to the revenue, it is easy to figure the number of such replacements required in order to raise the revenue by $70,500.

If you write the equation for B seats, you find the solution to the equation mirrors this verbal description:

... 20b + 15(25000-b) = 445,500

... 5b = 445,500 - 375000 . . . . simplify, subtract 375000

... b = 70500/5 = 14100

8 0
3 years ago
Find the general solution of {y}''-3y=8e^{3t}+4sin(t) .
babunello [35]

Answer:

y(x)=C_1e^{\sqrt3t}+C_2e^{-\sqrt3t}-\frac{4}{3}e^{3t}-sint

Step-by-step explanation:

We are given that linear differential equation

y''-3y=8e^{3t}+4 sint

Auxillary equation

D^2-3=0

D=\pm \sqrt3

C.F=C_1e^{\sqrt3t}+C_2e^{-\sqrt3}

P.I=\frac{8e^{3t}+4sin t}{D^2-3}

P.I=\frac{8e^{3t}}{9-3}+4\frac{sint }{-1-3}

P.I=e^{ax}{\phi (D+a)} and P.I=\frac{sinax}{(\phi D)}where D square is replace by - a square

P.I=-\frac{4}{3}e^{3t}- sint

Hence, the general solution

G.S=C.F+P.I

y(x)=C_1e^{\sqrt3t}+C_2e^{-\sqrt3t}-\frac{4}{3}e^{3t}-sint

3 0
3 years ago
the deli lunch special offers customers half off the total cost of a sandwich of their choice and a bag of pretzels. The origina
KATRIN_1 [288]

The total cost of the customers order is s/2 + 1.50 dollars.

<u>Explanation:</u>

Let s represent the cost of sandwich

Cost of pretzels = 1.50 dollars

Special offer by deli lunch = Half of the cost of sandwich + bag of pretxel

Cost of offer. =  s/2 + 1.50 dollars

Original order = 1 sandwich

Originial cost = s dollars

6 0
3 years ago
Help me please with some of my math homework I don’t really understand what p is equal to
horrorfan [7]

The value of p is 5.

<u>Step-by-step explanation</u>:

<u>step 1</u> : The given expression is -6( p -5 )

<u>step 2</u> : To find any unknown value in an expression, equate it to zero.

<u>step 3</u> : -6( p -5 ) = 0

<u>step 4</u> : Multiply -6 to each term in the bracket.

            -6p + 30 = 0

            -6p = -30

              p = -30/-6

              p = 5

8 0
3 years ago
I WILL MARK YOU BRAINLIEST!!!!
Stella [2.4K]
I’m pretty sure it’s option D
8 0
3 years ago
Other questions:
  • Hey guys I need help with this math exercise... can someone plz help me??!!! 20 points to win!!!
    12·1 answer
  • Functions help?
    13·1 answer
  • Kelly answered 3 items in a test incorrectly. This was 6% of the items. How many items were on the test?
    11·2 answers
  • What iss the x valué su hijo that y=15-3x and y=0
    10·1 answer
  • Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Yesterday, the snow
    10·2 answers
  • What is another fraction you can make out of 3/8 and 1/6
    14·1 answer
  • Graph y=−5/6x−4 . Please help now!
    6·1 answer
  • F(x) = x2. What is g(x)?<br><br> pls help it’s due soon!!
    14·1 answer
  • Carter has 37 coins, all nickels and dimes in his piggy bank. The value of the coins is $3.10. How
    11·1 answer
  • What expression is equivalent to this expression?<br><br> 4a + (–6b) – 3a + 2b
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!