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
melomori [17]
2 years ago
9

The profit (in thousands of dollars) of a company is given by P(x) = -8x2 + 32x + 14.

Mathematics
1 answer:
andre [41]2 years ago
5 0

Answer:

C

Step-by-step explanation:

The profit (in thousands of dollars) of a company is given by the function:

\displaystyle P(x) = -8x^2+32x+14

And we want to find the maximum profit of the company.

Since the function is a quadratic with a negative leading coefficient, the maximum profit will occur at its vertex. Recall that the vertex of a quadratic is given by:

\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)

Find the <em>x-</em>coordinate of the vertex. In this case, <em>a</em> = -8, <em>b</em> = 32, and <em>c</em> = 14. Hence:

\displaystyle x=-\frac{(32)}{2(-8)}=\frac{32}{16}=2

To find the maximum profit, substitute this value back into the function. Hence:

\displaystyle P(2) = -8(2)^2+32(2) + 14 = 46

Therefore, the maximum profit of the company is 46 thousand dollars.

Our answer is C.

You might be interested in
Everbank Field, home of the Jacksonville Jaguars, is capable of seating 76,867 fans. The revenue for a particular game can be mo
k0ka [10]
The total revenue for the event would the total amount earned from the tickets sold. So if x people attended the event, then there would be $(161x). We must keep in mind though the the maximum seating is 76 876. That means that the maximum revenue that can be earned must not exceed $(161)(76 867) = . Hence we have f(x) = 161x where 0 ≤ x ≤ 76867. From this, we can see that the domain is [0, 76867] while range is [0, 12375587]<span>.</span>
6 0
3 years ago
Find the general solution for the differential equation (dy)/(dx) + 3y = 18<br> Y=
harkovskaia [24]

Answer:

y=-e^{-3x-c_1}+6

Step-by-step explanation:

\frac{dy}{dx}+3y=18\\\\\mathrm{Substitute\quad }\frac{dy}{dx}\mathrm{\:with\:}y'\:\\\\y'\:+3y=18\\\\Rewrite\\\\\frac{1}{6-y}y'\:=3\\\\Solve \::\frac{1}{6-y}y'\:=3\\\\-In(6-y)=3x+c_1\\\\Isolate\:y\\\\\\y=-e^{-3x-c_1}+6

5 0
3 years ago
Can Someone help me plz????
bearhunter [10]

Answer:

4. C

5. 7

6. 3

Step-by-step explanation:

Four:

You have to multiply both of them. Just easy math!

Five:

This one is more complicated. You can see that it is asking you to plug in for a,

F(3):

f(3)= 4(3)-5

f(3)=12-5

f(3)=7

F(1.25):

f(1.25)=4(1.25)-5

f(1.25)=5-5f(1.25)=0

So now just subtract the answers. 7-0 equals 7.

Six:

Just look at the graph and see what number corresponds with y(6), or the 6 on the y axis. It appears to be three.

Have a nice day! Hope this helps. Don't forget to mark brainliest!

4 0
3 years ago
Read 2 more answers
Simplify this expression.
GalinKa [24]
I believe the answer is C
6 0
3 years ago
Read 2 more answers
A store randomly samples 603 shoppers over the course of a year and finds that 142 of them made their visit because of a coupon
Lelu [443]
468.1 shoppers visited because of a coupon
7 0
3 years ago
Other questions:
  • If x = 5 and y = 7, evaluate the following expression:<br> 100 – 3(3y - 4x)
    8·2 answers
  • ∠YXZ and ∠ZXW are adjacent and supplementary angles. If m∠YXZ = 37°, what is m∠ZXW?
    7·1 answer
  • Plz help im struggling in this lesson :( What graph represents the piecewise-defined function?
    7·2 answers
  • Can someone please help me with this question
    8·1 answer
  • What is the quotient of 3 1/8 and 1 2/7 in simplest form.
    8·2 answers
  • HELP- on a map of North Carolina, Raleigh and Asheville are about 8 inches apart. if the scale is 1 inches = 12 miles, how far a
    11·1 answer
  • △ABC is inscribed in a circle such that vertices A and B lie on a diameter of the circle. If the length of the diameter of the c
    9·1 answer
  • What is the estimate for the probability of selecting a red crayon OR a yellow crayon from the bag?
    12·1 answer
  • Please help i am actually so confused on this one
    7·2 answers
  • WILL MARK BRAINLIEST!!! PLEASE ANSWER!!! WRONG ANSWERS JUST FOR POINTS WILL BE REPORTED!!!!!!!!!!!!!! 100 POINTSSSSSSSSSSSSSSSSS
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!