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
ArbitrLikvidat [17]
3 years ago
7

F(x)=5x^2-70x+258 complete square and find minimum

Mathematics
1 answer:
Dominik [7]3 years ago
4 0
The minimum value is 13
You might be interested in
A model for a company’s revenue from selling a software package is R(p)=-2.5p^2+600p
blagie [28]

Complete question is;

A model for a company's revenue from selling a software package is R = -2.5p² + 500p, where p is the price in dollars of the software. What price will maximize revenue? Find the maximum revenue.

Answer:

Price to maximize revenue = $100

Maximum revenue = $25000

Step-by-step explanation:

We are told that:

R = -2.5p² + 500p, where p is the price in dollars of the software.

The maximum revenue will occur at the vertex of the parabola.

Thus, the price at this vertex is;

p = -b/2a

Where a = - 2.5 and b = 500

Thus:

p = -500/(2 × -2.5)

p = -500/-5

p = 100 in dollars

Maximum revenue at this price is;

R(100) = -2.5(100)² + 500(100)

R(100) = -25000 + 50000

R(100) = $25000

4 0
3 years ago
Rogue Industries reported the following items for the current​ year: Sales​ = $3,000,000; Cost of Goods Sold​ = $1,500,000; Depr
Nataly_w [17]

Answer:

Rogue's operating income is $770000

Step-by-step explanation:

Given data

Sales​ = $3,000,000

Cost of Goods Sold​ = $1,500,000

Depreciation Expense​ = $170,000

Administrative Expenses​ = $150,000

Interest Expense​ = $30,000

Marketing Expenses​ = $80,000

Taxes​ = $300,000

to find out

operating income

solution

we find income by this formula that is given below

income = Sale - Cost of Goods Sold - Depreciation Expense - Administrative Expenses - Interest Expense -  Marketing Expenses - Taxes

so put now all these value to get the income      

income = 3,000,000 - 1,500,000 - 170,000 - 150,000 - 30,000 - 80,000 - 300,000

hence            

so  Rogue's operating income is $770000

7 0
3 years ago
Solve for X. x+5=2x-11
sukhopar [10]
First you need to subtract "x" from the left side on both sides, then you have 5=x-11. then you add eleven to each side. this gives you 16=c
7 0
3 years ago
Fine the x and y int of the line -10x-6y=120
vlabodo [156]
Y int = -20

X int = -12
5 0
3 years ago
Lexi borrowed $425 from a friend. Six months later, she repaid her friend $450. What annual simple interest rate did she pay?
madreJ [45]

Lexi borrowed $425 and paid back $450, so the interest paid was $25 (subtract 450 and 425). Then divide the interest over the expression P*t = 425*0.5 = 212.5 to get 25/212.5 = 0.1176 approximately which converts to the annual interest rate of 11.76% (approximately).

If you want to use a formula, then,

i = P*r*t

25 = 425*r*0.5 <---- t = 0.5 to represent half a year

25 = 4250.5*r

25 = 212.5*r

212.5*r = 25

r = 25/212.5

r = 0.1176

r = 11.76%

7 0
4 years ago
Other questions:
  • A metal frame is constructed in the form of an isosceles trapezoid. Each base angle measures 80°, the length of the base is 7 fe
    5·1 answer
  • Adult and student tickets were sold for a school concert. The adult tickets cost $12 each, and the student tickets cost $8 each.
    14·1 answer
  • 20-3(m-1)=-4 What is m??
    5·1 answer
  • 30 points!! Write and simplify a polynomial expression for the surface area of each figure.
    7·1 answer
  • I need some help with math.<br> Who can help me?
    11·1 answer
  • For a school fundraiser, Samantha sold 67 cases of cookies. During the same
    6·2 answers
  • Each football player is recommended to drink a minimum of 540 milliliters of water for every 1 hour of play. Aaron expects to pl
    9·1 answer
  • In standard form, the number 72105.4 is written as 7.21054 × 10n where n is equal to ________.
    12·1 answer
  • The average weight of a male African elephant is 15,000 pounds. How many tons is this?
    11·2 answers
  • A polygon has 15 sides.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!