The absolute value is defined as
So for example, if <em>x</em> = 3, then |<em>x</em>| = |3| = 3, since 3 is positive. On the other hand, if <em>x</em> = -5, then |<em>x</em>| = |-5| = -(-5) = 5, since -5 is negative. The absolute value is always positive.
For the inequality |7 + 8<em>x</em>| > 5, you consider the two cases where the argument to the absolute value (the expression you find inside the bars) is either positive or negative.
• If 7 + 8<em>x</em> ≥ 0, then |7 + 8<em>x</em>| = 7 + 8<em>x</em>, so that
• Otherwise, if 7 + 8<em>x</em> < 0, then |7 + 8<em>x</em>| = -(7 + 8<em>x</em>), so that
The solution to the inequality is the union of these two intervals.
Answer:
Step-by-step explanation:
A)
This is the 30% discount:
$39.99 x .30 = $11.997; The discount is $11.997
Price of headphones after the discount:
$39.99 - $11.997 = $27.99
Now we need to calculate the 6% sales tax on the discounted price.
$27.99 x .06 = $1.68 (rounded off)
Dalton paid $1.68 in sales tax on the discounted price.
B)
The total price Dalton paid for the headphones will be the discounted price plus the sales tax.
$27.99 + $1.68 = $29.67
Total price Dalton paid: $29.67
Step-by-step explanation:
Words Decimal Representation Scientific Notation
ten million 10,000,000 1 x 107
one hundred million 100,000,000 1 x 108
one billion 1,000,000,000 1 x 109
ten billion 10,000,000,000 1 x 1010
The answer i got was A (4,0)
