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
SSSSS [86.1K]
3 years ago
13

The profit P (in dollars) from selling x calculators is P=25x(-10x+ 250). How many calculators are sold when the profit is $425?

Mathematics
1 answer:
Crank3 years ago
6 0
Okay, so this is what I came to. I think that you might need to look through the placement of the problem again and your x's, but other than that, here it is!

Step 1: Simplify both sides of the equation.<span>425=<span><span>−<span>250<span>x2</span></span></span>+<span>6250x

</span></span></span>Step 2: Subtract -250x^2+6250x from both sides.<span><span>425−<span>(<span><span>−<span>250<span>x2</span></span></span>+<span>6250x</span></span>)</span></span>=<span><span><span>−<span>250<span>x2</span></span></span>+<span>6250x</span></span>−<span>(<span><span>−<span>250<span>x2</span></span></span>+<span>6250x</span></span>)</span></span></span><span><span><span><span>250<span>x2</span></span>−<span>6250x</span></span>+425</span>=0
</span>
Step 3: Use quadratic formula with a=250, b=-6250, c=425.<span>x=<span><span><span>−b</span>±<span>√<span><span>b2</span>−<span><span>4a</span>c</span></span></span></span><span>2a</span></span></span><span>x=<span><span><span>−<span>(<span>−6250</span>)</span></span>±<span>√<span><span><span>(<span>−6250</span>)</span>2</span>−<span><span>4<span>(250)</span></span><span>(425)</span></span></span></span></span><span>2<span>(250)</span></span></span></span><span>x=<span><span>6250±<span>√38637500</span></span>500</span></span><span><span>x=<span><span>252</span>+<span><span><span><span>110</span><span>√15455</span></span><span> or </span></span>x</span></span></span>=<span><span>252</span>+<span><span><span>−1</span>10</span><span>√15455
</span></span></span></span><u>
Answer:</u><span><span>x=<span><span>252</span>+<span><span><span><span>110</span><span>√15455</span></span><span> or </span></span>x</span></span></span>=<span><span>252</span>+<span><span><span>−1</span>10</span><span>√<span>15455</span></span></span></span></span>
You might be interested in
A gumball machine has 220 red gumballs. If the red gumballs are 50% of the total number of gumballs, how many gumballs are in
JulijaS [17]
Answer:

440

Explanation:

If 50% of the total gum balls are red which is 220, then the other 50% is 220.
5 0
3 years ago
Read 2 more answers
If the original quantity is 8 and the new quantity is 4 what is the percent decrease
borishaifa [10]

Answer:

50% decrease

Step-by-step explanation:

it would be a 50% decrease because half of 8 is 4 and 1/2 is 50 %.

6 0
3 years ago
Read 2 more answers
A warehouse holds 100 barrels in storage each barrel has a capacity of 50 liters if all the barrels are filled with water how ma
aksik [14]
100 barrels * 50 liters = 5000 liters of water. 1 kiloliter = 1000 liters, so there are 5 kilo liters
6 0
3 years ago
Please help, 50 points! :) <br>PDF attached below
Sveta_85 [38]

Answer:

See below

Step-by-step explanation:

Attachment 1 : (a) Remember that it mentions x is the years since 1900. That would mean that the table is a bit different. To create this " new table " simply subtract 1900 from the years provided, and substitute.

To create this equation we will need a regression calculator. The equation will be as follows.

y = 0.125873x - 7.11916 ( note that you can double check this equation be substituting points from the table in the attachment )

(b) 2025 - 1900 = 126 years,

y = 0.125873(125) - 7.11916 = $ 8.614965

Minimum Wage : $ 8.614965

Attachment 2 : The rest of the problems can be solved similarly...

(a) Quadratic Regression Equation : - 0.49311x² + 23.2798x + 996.029

(b) - 0.49311(20)² + 23.2798(20) + 996.029 = 1264.381 mg/cm³

Attachment 3 : (a) Exponential Regression : 9.08292(1.09965)ˣ

(b) 9.08292(1.09965)⁶⁰ = 2713.27743\dots ( About 2713 recommendations )

8 0
3 years ago
A triangle has angle measurements of 2°, 57°, and 121°. What kind of triangle is it?
Sunny_sXe [5.5K]
A because it's a 2 degree angl


4 0
3 years ago
Read 2 more answers
Other questions:
  • Dennis spent $5 less on lunch than he spent on dinner. Dennis spent at most $12 on dinner. Write and solve an inequality to find
    11·1 answer
  • Enter "1" into cell A1. What do you get for the mean and the MAD of the data set
    13·1 answer
  • Solve for the variable x^2 - 8 = -1 Show all work please
    10·1 answer
  • Stabiliți dacă exista 2 nr. nat. care adunate dau suma unui nr. impar și scăzute dau diferențăștia un nr par.
    5·1 answer
  • A grocery store clerk has 16 oranges 20 apples and 24 pears
    14·1 answer
  • What is the simplified form of 3 over 2x plus 5 + 21 over 8 x squared plus 26x plus 15 ?
    14·1 answer
  • Someone help me with this, it’s due today
    12·2 answers
  • Find it!!!!!!!!!!!!!!​
    10·2 answers
  • Please answer asap asap JacobEwing this is for you. I can only give 20 points but I'll mark as brainliest
    12·1 answer
  • Which system of inequalities is represented on this graph?<br><br> SOME ONE PLEASE HELP!!
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!