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Oksanka [162]
4 years ago
6

A real estate agent would like to predict the selling price of a single-family house by predicting the price (in thousands of do

llars) based on the square footage (in 100 square feet). If the LSRL for the data is ? = 3.8785x + 18.3538, predict the price of a 4000 square foot house (in thousands of dollars). tbl
Mathematics
1 answer:
forsale [732]4 years ago
8 0

Answer:

$173493.8

Step-by-step explanation:

Data provided in the question:

LSRL for the data is ? = 3.8785x + 18.3538

Here,

x is area in 100 square feet

and

price in thousands of dollar

Thus,

For the given area 4000 square foot

x = 4000 ÷ 100 = 40                  [Area in 100 square feet]

Therefore,

Using the given equation

Price  = 3.8785(40) + 18.3538

or

Price = 173.4938 in thousands of dollar

or

Price = 173.4938 × $1000

Price = $173493.8

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1. X^2+1/2x = x(x+\frac{1}{2})

2.  X^2+2x-3 = (x-1)(x+3)

3. (2x-3)^2 = (2x-3)(2x-3)

4. X^3+2x^2-19x-20 = (x+1)(x-4)(x+5)

Step-by-step explanation:

Each expression can be written as a product of linear factors as follows

1. X^2+1/2x ⇒ x^{2} + \frac{1}{2}x

x^{2} + \frac{1}{2}x = x(x+\frac{1}{2})

Hence,  X^2+1/2x = x(x+\frac{1}{2})

2. X^2+2x-3 ⇒ x^{2} +2x-3

x^{2} +2x-3 = x^{2} +3x-x-3

x^{2} +3x-x-3 = x(x+3) -1(x+3)

x(x+3) -1(x+3) = (x-1)(x+3)

Hence,  X^2+2x-3 = (x-1)(x+3)

3. (2x-3)^2 ⇒(2x-3)^{2}

(2x-3)^{2} = (2x-3)(2x-3)

Hence, (2x-3)^2 = (2x-3)(2x-3)

4. X^3+2x^2-19x-20 ⇒ x^{3}+2x^{2} -19x -20

x^{3}+2x^{2} -19x -20  = (x+1)(x^{2} +x-20)

First,

x^{2} +x-20 = x^{2} +5x-4x-20\\x^{2} +5x-4x-20= x(x+5)-4(x+5)\\x(x+5)-4(x+5) = (x-4)(x+5)

∴ (x+1)(x^{2} +x-20) = (x+1)(x-4)(x+5)

Hence, X^3+2x^2-19x-20 = (x+1)(x-4)(x+5)

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3 years ago
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