Explain how you would use a number line to find the absolute value of -3

Mathematics

2 answers:

Anon25 [30]3 years ago

6 0

You would check how many spots away -3 is from 0, which would make it 3. Hope this helps!

never [62]3 years ago

5 0

Count how many numbers -3 is to the left of zero and then that is the absolute value.
The absolute value of -3 is 3

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Bruce's taxable income is $30,176. He is filing as single, and he has already paid $4526 in federal taxes. What will he receive

ycow [4]

He will receive $30,641.85 = $30,176 + $465.85 (tax excess payment)

Since his filing status is single, he'll be taxed based on the single tax rate schedule. 10% for $1 to $9,325. 15% for $9,326 to $37,950.

9,325 x 10% = 932.50
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His total tax is 3,127.65 + 932.50 = 4,060.15; Since he paid 4,526 in federal taxes, 4,526 - 4,060.15 = 465.85 will be reimbursed.

Add his taxable income and the reimbursement to get the total amount he will receive for that year.

$30,176 + $465.85 = $30,641.85

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What is the simplified form of x+2/x^2-3x-10 * x-3/x^2+x-12

Vinvika [58]

I mean based on your possible answers, the third one is correct,but you can go further that that, in the steps i will note when you've came to the "answer"

$\frac{x + 2}{ {x}^{2} - 3x - 10 } \times \frac{x - 3}{ {x}^{2} + x - 12 }$
$\frac{x + 2}{ {x}^{2} + 2x - 5x - 10 } \times \frac{x - 3}{ {x}^{2} + 4x - 3x - 12 }$
$\frac{x + 2}{x(x + 2) - 5(x + 2)} \times \frac{x - 3}{x(x + 4) - 3(x + 4)}$
$\frac{x + 2}{(x + 2) \times (x - 5)} \times \frac{x - 3}{(x + 4) \times (x - 3)}$
$\frac{1}{(x + 4) \times (x + 5)}$
and basically that's the "answer", but you can simplify more.

$\frac{1}{ {x}^{2} + 4x - 5x - 20}$
$\frac{1}{ {x}^{2} - x - 20 }$
Hope that's helpful

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3 years ago