Translate IxI>= 3 into words using the definition of absolute value

Mathematics

1 answer:

Nookie1986 [14]3 years ago

6 0

Answer:

Step-by-step explanation:

The absolute value of an integer is the distance that separates the number from the zero position "0", that is, the absolute value of an integer is the natural number that results from suppressing its sign.

In other words, the absolute value of a real number a, written |a|, is the same number a when it is positive or zero, and opposite of a, if a is negative.

In this case IxI>= 3 means that $\left \{ {{x\geq 3} \atop {x\leq -3}} \right.$

This is translated as, since the absolute value of x represents the distance from zero, the solutions to this inequality are those numbers whose distances from zero are greater than or equal to 3, that is, that x is greater than or equal to 3 or x is less than or equal to -3.

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Belinda bought a car for 10% off the $21,957.68 sticker price. The sales tax was 6.5% of the sale price. She had to pay a $528.0

babymother [125]

Answer:

$21,574.43

Step-by-step explanation:

To start off, we need to take 10% off of the starting price of $21,957.68. We can do that by multiplying that number by 0.10. The work is shown below...

(21,957.68) x (0.10) = 2,195.77

Now we can take the number 2,195.77 and subtract that from our starting price.

21,957.68 - 2,195.77 = 19,761.91 (this is our price after the 10% sale)

Next, we need to add on the sales tax. We simply multiply 19,761.91 by the decimal version of 6.5% which is 0.065.

(19,761.91) x (0.065) = 1,284.52

Now we add that number to 19,761.91

19,761.91 + 1,284.52 = 21,046.43

Since we have our current cost after sales tax, we now just need to add the $528 license fee...

21,046.43 + 528 = $21,574.43

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