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MatroZZZ [7]
3 years ago
15

Consider this linear function y=1/2x+1 plot all ordered pairs for the values in the domain D:{-8,-4,0,2,6}

Mathematics
1 answer:
devlian [24]3 years ago
4 0

Answer:

Following are the calculated points to the given question:

Step-by-step explanation:

When\ x=-8\\\\y=\frac{1}{2}(-8)+1=-3\\\\

so,  

Point \ A(-8,-3)

When\ x=-4\\\\y=\frac{1}{2}(-4)+1=-1\\\\

so,  

Point \ B(-4,-1)

When\ x=0\\\\y=\frac{1}{2}(0)+1=1\\\\

so,  

Point \ C(0,1)

When\ x=2\\\\y=\frac{1}{2}(2)+1=2\\\\

so,  

Point \ D(2,2)

When\ x=6\\\\y=\frac{1}{2}(6)+1=4\\\\

so,

Point \ E(6,4)

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GrogVix [38]
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To my knowledge, but if someone else answers, maybe trust them
3 0
2 years ago
A company manufactures and sells x television sets per month. the monthly cost and​ price-demand equations are ​c(x)=75,000
AleksandrR [38]

182.5 is the maximum revenue.

What do revenue means?

  • Revenue is the total amount of income generated by the sale of goods or services related to the company's primary operations.
  • Revenue, also known as gross sales, is often referred to as the "top line" because it sits at the top of the income statement.
  • Income, or net income, is a company's total earnings or profit.

Revenue = p(x) × x = ( 300 - x /30)x

⇒R(x) = 300x - x²/30

R'(x) = \frac{d}{dx} (300 - \frac{x^{2} }{30} ) = \frac{d}{dx} (300x) - \frac{d}{dx} (\frac{x^{2} }{30})

    300 - x /15 = 0

⇒ x = 300 . 15 = 4500

∴ Max Revenue = R(4500) = 300 . 4500 - 4500²/30 = 675000 $

Profit = Revenue - cost

P(x) = 300x -  x²/30 - (75000 + 60x)

P'(x) = d/dx ( 300x - x²/30 - ( 75000 + 60x)

       = d/dx (300x) - d/dx (x²/30) - d/dx ( 75000 + 60z))

       = 300 - x /15 -60

       = 240 - x /15

P'(x) = 0 ⇒ x = 240 . 15  = 3600

P(3600) = 300 .3600 - 3600²/30 - (75000 +60 . 3600) =357000

∴ Max profit is 357000$ when 3600 sets are manufactured

After taxation , p(x) = 300x  - x²/30 - ( 75000 + 60x) -5x

P'(x) = 300x  - x²/30 - ( 75000 + 60x) -5x

      = d/dx (300x) - d/dx (x²/30) - d/dx ( 75000 + 60x ) - d/dx (5x)

      = 300 - x/15 - 60 -5 = 235 - x/15

P'(x) = 0 ⇒ x = 235 . 15 = 3525

Pmax = P(3525) = 300 .3525 - 3525²/30 - ( 75000 + 60 .3525) - 5 .3525= 678375/2  (Decimal ; 339187.5)

P(3525) = 300 - 3525/30 = 365/2 = 182.5

Learn more about revenue

brainly.com/question/27325673

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5 0
1 year ago
⦁ Suppose that the number of bacteria in a dish increases by 50% every four hours. there are 64 bacteria initially. write a func
natta225 [31]
Starting with N = N₀·(1+r)^(t/4)
where N is the number of bacteria at t hours, r is the growth rate, and N₀ is the initial number of bacteria
N₀ = 64
r = 50% = 0.5
So the formula is:
N = 64 · (1+0.5)^(t/4)
N = 64·(1.5)^(t/4)

So after 100 hours,
N = 64 · (1.5)²⁵ = 1.6×10⁶
There are 1.6×10⁶ bacteria at 100 hours.

8 0
3 years ago
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I NEED HELP PLEASE<br> f+3n=7n
Arturiano [62]

Answer:

4n

Step-by-step explanation:

5 0
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How much is 3x3+3+3x3
Black_prince [1.1K]

Answer:

21

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Step-by-step explanation:

<u>Step 1: Define expression</u>

3 × 3 + 3 + 3 × 3

<u>Step 2: Evaluate</u>

  1. Multiply:                    9 + 3 + 3 × 3
  2. Multiply:                    9 + 3 + 9
  3. Add:                          12 + 9
  4. Add:                          21
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