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
nirvana33 [79]
3 years ago
8

A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the

given equation. y=-x^2+72x-458 We need to sell each widget at $ ___ in order to make a maximum profit of $ ____
Mathematics
1 answer:
jonny [76]3 years ago
4 0

Answer:

x = $36 , y = $ 838

Step-by-step explanation:

Solution:-

The company makes a profit of $y by selling widgets at a price of $x. The profit model is represented by a parabola ( quadratic ) equation as follows:

                       y = -x^2 + 72x -458

We are to determine the profit maximizing selling price ( x ) and the corresponding maximum profit ( y ).

From the properties of a parabola equation of the form:

                      y = ax^2 + bx + c

The vertex ( turning point ) or maximum/minimum point is given as:

                     x = -\frac{b}{2a} \\\\x =  -\frac{72}{-2} = 36

The profit maximizing selling price of widgets would be x = $36. To determine the corresponding profit ( y ) we will plug in x = 36 in the given quadratic model as follows:

                    y ( 36 ) = - ( 36 )^2 + 72 ( 36 ) - 458\\\\y ( 36 ) = -1296 + 2592 - 458\\\\y ( 36 ) = 838

The maximum profit would be y = $838

You might be interested in
Need help with this function problem
kotykmax [81]

Answer:

  see attached

Step-by-step explanation:

To find the inverse function, solve ...

  x = f(y)

  x = (y^7)/7 -4 . . . . . . . use the definition of f(x)

  x +4 = (y^7)/7 . . . . . . add 4

  7(x +4) = y^7 . . . . . . multiply by 7

  (7(x +4))^(1/7) = y . . take the 7th root

The inverse function is the one shown in the attachment.

4 0
2 years ago
3+2y-24=14-3y<br> Please give explanation and good answers.
yawa3891 [41]

y = 7

I have attached the step explanation in the photo

7 0
3 years ago
Read 2 more answers
A pair of parallel lines is cut by a transversal, as shown (see figure):
Anestetic [448]
The answer
let p' be the corresponding angle of the angle p (that is because of the prallelism and the transversal, look the image)
but p' and p are correspondant angles implies p'=p,
looking at the figure, p' and q are opposite angles
so q=p' and p'=p implies   q=p
the answer is
<span>p = q</span>

 


4 0
3 years ago
Read 2 more answers
Which set of values could be the side lengths of a 30-60-90 triangle?
PilotLPTM [1.2K]

The correct answer is option B which is the set of values that could be the side lengths of a 30-60-90 triangle are (6,6√3, 12).

<h3>What is the right-angled triangle?</h3>

A triangle has three angles of 30-60 and 90 degrees in which the two sides are perpendicular to each other.

The three sides of the triangle will be calculated by applying the Pythagorean theorem:-

The sum of the square sides will be equal to the square of the third side.

For sides  (6,6√3, 12)

12² = 6² + (6√3)²

144 = 36 + (36 x 3)

144 = 36 + 108

144 = 144

Therefore the correct answer is option B which is the set of values that could be the side lengths of a 30-60-90 triangle (6,6√3, 12).

To know more about right angle follow

brainly.com/question/64787

#SPJ1

5 0
2 years ago
Slove this inequality 3b-7 less the 20
Mars2501 [29]

Hi friend

#24

y/9+5=0

Simplify to both sides

1/9 y+5=0

Now subtract 5 from both sides

1/9 y+5-5=0-5

1/9 y=-5

Multiply both sides by 9 so we can find the y value

9(1/9 y)= (9)(-5)

y=-45

The answer is A ( Your answer was not good)


#25

3b-7<32

First you need to add 7 to both sides

3b-7+7=32+7

3b<39

Now divide both sides by 3 so we can find the value for b

3b/3<39/3

b<13

The answer is A


#26

3p-16<20

Now we gonna do the same thing

Add 16 to both sides

3p-16+16<20+16

3p<36

Now divide both sides by 3

3p/3<36/3

p<12

The answer is C


#27

3p-6>21

Just do the same thing

Add 6 to both sides

3p-6+6>21+6

3p>27

Divide both sides by 3

3p/3>27/3

p>9

The answer is B


I really hope that's help and good luck :0







4 0
3 years ago
Other questions:
  • What happens to the surface area of a rectangular prism when each of the dimensions is doubled? (1 point) i?
    5·1 answer
  • SOMEONE PLS HELP ME W THIS QUESTION ASAP I’LL MARK BRAINLIEST
    9·1 answer
  • A blue suit case weighs 10 pounds less than three fourths the weight of a green suitcase.Write an expression that you can use to
    13·1 answer
  • Show the work about the problem
    8·1 answer
  • Please help me will give branlist
    14·1 answer
  • Wanda wears purple for the whole
    5·1 answer
  • Determine whether the relation is a function. <br> {(-4, 1), (0, 0), (4, 0), (0, 4)}
    15·2 answers
  • If I could get help………
    8·1 answer
  • Two supplementary angles are in a ration of 3 7 find the measure of each angle
    9·2 answers
  • How to write 246,305 in expanded notation
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!