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Natasha2012 [34]
3 years ago
15

Factor the binomial completely. x2−81

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

Answer:

(x - 9)(x + 9)

Step-by-step explanation:

x² - 81 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b), then

x² - 81

= x² - 9²

= (x - 9)(x + 9)

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Answer:

  $17,999.10

Step-by-step explanation:

Let x represent the amount the bank will lend.

  x = $19,999(1 -10%) = 0.90($19,999) = $17,999.10

The bank is willing to lend $17,999.10 on the car.

6 0
4 years ago
Solve by completing the square:<br> x^2 + 3x - 9 = 0
tekilochka [14]

Answer:

Step-by-step explanation:

x^2 + 3x - 9 =0

By comparing with the equation ax^2+bx+c = 0,

we get,

a = 1, b=3, c = -9

we know the formula for x is,

x = (-b±√(b^2 - 4ac))/2a

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6 0
3 years ago
Read 2 more answers
The commute time to work in the U.S. Has a bell shaped distribution with a population mean of 24.4 minutes and a population stan
Alexxx [7]

Answer:

1. 0.9544

2. 0.0228

3. 0.0228

Step-by-step explanation:

The computation is shown below;

As we know that

At Normal distribution

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As per the question, the data provided is as follows

Mean = 24.4 minutes

Standard deviation = 6.5 minutes

Based on the above information

P(11.4 < X < 37.4) = P(X < 37.4) - P(X < 11.4)

= P(Z < (37.4 - 24.4) ÷ 6.5) - P(Z < (11.4 - 24.4) ÷ 6.5)

= P(Z < 2) - P(Z < -2)

= 0.9772 - 0.0228

= 0.9544

2. P(X < 11.4) = 0.0228

3. P(X ≥ 37.4) = 1 - P(X < 37.4)

= 1 - 0.9772

= 0.0228

5 0
4 years ago
Which of the following is the solution to the following system of inequalities? x+2y_ 2
Contact [7]

Answer:

2y+2

Step-by-step explanation:

because x can be used in in place of missing equations

4 0
4 years ago
Solve the following equation for x
nasty-shy [4]
The answer is x= \frac{17}{15}

Hopes this helps ya!
3 0
3 years ago
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