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
OleMash [197]
2 years ago
11

The profit from a business is

Mathematics
1 answer:
GuDViN [60]2 years ago
3 0

First of all we will understand the question!!

<em>The</em><em> </em><em>question</em><em> </em><em>is</em><em> </em><em>saying</em><em> </em><em>that</em><em> </em><em>you</em><em> </em><em>are</em><em> </em><em>given</em><em> </em><em>a</em><em> </em><em>function</em><em> </em><em>and</em><em> </em><em>you</em><em> </em><em>have</em><em> </em><em>to</em><em> </em><em>find</em><em> </em><em>the</em><em> </em><em>value</em><em> </em><em>of</em><em> </em><em>x</em><em> </em><em>which</em><em> </em><em>will</em><em> </em><em>give</em><em> </em><em>the</em><em> </em><em>maximum</em><em> </em><em>profit</em><em>.</em><em>.</em><em>.</em><em> </em><em>Lets</em><em> </em><em>solve</em><em> </em><em>it</em><em> </em><em>by</em><em> </em><em>finding</em><em> </em><em>the</em><em> </em><em>extrema</em><em> </em><em>using</em><em> </em><em>the</em><em> </em><em>vertex</em>

<em>\rm \: p(x) =  - 5 {x}^{2}  + 30x + 8</em>

  • <u>Identify the coefficients a and b of the quadratic function</u>

<em>\rm \: p(x) =   { - 5x}^{2}  + 30x + 8  \\  \rm \: a =  - 5 \: and \: b \:  = 30</em>

  • <u>Since a<0, the function has the maximum value at x, calculated by substituting a and b into x=-b/2a</u>

<u>\rm \: x =  \frac{30}{ 2 \times  (- 5)}</u>

  • <u>Solve</u><u> </u><u>the</u><u> </u><u>equation</u><u> </u><u>for</u><u> </u><u>x</u><u> </u>

<u>\rm \: x = 3</u>

  • <u>The maximum of the quadratic function is at </u><u>x</u><u>=</u><u>3</u>
You might be interested in
Please answer if possible
MrRissso [65]

Answer:

A ≈ 127.39 ft^{2}

Step-by-step explanation:

A = a^{2}+2a\sqrt{\frac{a^{2}}{4}+h^{2}  }

a (base edge) = 6

h (height) = 7

6 0
3 years ago
Alex bought 4 hoodies. Each hoodie cost the same amount and they were on sale for $5 off each. Alex paid a total of $120. How mu
vladimir2022 [97]
Total price equals 4 hoodies times (original price minus $5).

x= original hoodie price

$120= 4(x-5)
Use distributive property to multiply
120=(4*x) - (4*5)
120= 4x - 20
Add 20 to both sides
140=4x
Divide both sides by 4
$35= x

Original hoodie price was $35.

Hope this helps! :)
8 0
3 years ago
Conor and Jake's lunch cost 13.00. They left a 15% tip. How much did they leave?
notsponge [240]
1 dollar 95 cents is how much they left
8 0
2 years ago
Find the unit rate with the second given unit in the denominator.
Korolek [52]
If 9 pizzas cost $67.50 that means that 1 pizza costs 67.50/9 = $7.5

Answer A is incorrect because of false prize of pizza.

B isn't correct because 1 pizza cost $7,5 and not 7,5 pizzas cost $1

C isn't answer because of both reasons from answer A and answer B

D is the answer because it says that you need to pay $7.5 per pizza.
8 0
3 years ago
An automobile went 84 miles on 6.5 gallons of gasoline. At this rate, how many gallons would be needed to travel 126 miles
luda_lava [24]

Answer:

10 gallons

Step-by-step explanation:

84 ÷ 6.5 =12.9(The unit rate.)

Seeing as one gallon can get you 12.9 miles;

126÷12.9=9.7

So the answers 9.7 gallons, but if you need to round, then 10 to get a whole number.

4 0
3 years ago
Read 2 more answers
Other questions:
  • Challenge!!<br><br> Try to guess the sequence !!
    5·1 answer
  • What is 3a+-2(a+b) simplified??
    10·1 answer
  • 66 dived by 4 is 426
    9·2 answers
  • Identify the values that create ordered pairs that are solutions to the equation 3x-5y=20
    11·1 answer
  • What number would you add to both sides of x - 20x = 5 to complete the square?
    10·1 answer
  • Graph each equation using its given form.
    10·1 answer
  • HELP i have no clue how to do this hahah
    7·1 answer
  • Pls help asappppppppppp
    13·2 answers
  • I need help on this question
    10·1 answer
  • Urgent!!!! please help just dont know if it is the use of words or what
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!