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mafiozo [28]
4 years ago
10

Given

Mathematics
1 answer:
arlik [135]4 years ago
3 0

Answer:

a = 3, b = - 7

Step-by-step explanation:

Substitute x = 2 into the equation and equate to 5, that is

a(2)² + b = 5

4a + b = 5 → (1)

Substitute x = 3 into the equation and equate to 20

a(3)² + b = 20

9a + b = 20 → (2)

Subtract (1) from (2) term by term to eliminate b

(9a - 4a) + (b - b) = (20 - 5), that is

5a = 15 ( divide both sides by 5 )

a = 3

Substitute a = 3 into either of the 2 equations and solve for b

Substituting in (1)

4(3) + b = 5

12 + b = 5 ( subtract 12 from both sides )

b = - 7

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Answer:

The sales of volume V, of a particular product with a net income of $5000 given a sales price of $40, a variable cost of $15?and $1000 in fixed cost is 240

Step-by-step explanation:

Given:  

Net income= $5000

sales price= $40

variable cost =$15 and $1000

To Find:

sales of volume V=?

Solution:

We Know that  

\text {Income}=40 * x

Where x=  number of units sold

Similarily,  

\text { Net Income }=40 \mathrm{x}-\text { VARIABLE } \cos \mathrm{T} * \mathrm{x}-1000

Substituting the known values,

\text { Net Income }=40 \mathrm{x}-\text{VARIABLE COST} * \mathrm{x}-1000

5000=40 \mathrm{x}-15 * \mathrm{x}-1000

Sloving the equation,

5000=40 \mathrm{x}-15 \mathrm{x}-1000

5000=25 \mathrm{x}-1000

5000+1000=25 \mathrm{x}

6000=25 \mathrm{x}

x=\frac{6000}{25}

x=240

 

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3 years ago
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Step-by-step explanation:

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Suppose a family drives at an average rate of 60 mi/h on their way to visit relatives and 40 mi/h on the way back. the return tr
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What’s the question though?
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Simplify, if x = 2 and y = -1: 3(y + 2)^2 + 3x
svet-max [94.6K]

Answer:

9

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
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Step-by-step explanation:

<u>Step 1: Define</u>

3(y + 2)² + 3x

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y = -1

<u>Step 2: Evaluate</u>

  1. Substitute:                    3(-1 + 2)² + 3(2)
  2. Add:                              3(1)² + 3(2)
  3. Exponents:                   3(1) + 3(2)
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3 years ago
Find the product of two numbers whose sum is 11 and difference is 3.
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Step by step:

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