Answer: A isn't a function
Step-by-step explanation:
Answer:
Region 3.
Step-by-step explanation:
The two lines meet in region 3.
^.^
- Amanda
Answer:
The expressions are equivalent.
Step-by-step explanation:
We can simplify each expression and compare the results.
(x + 10) + x + 9 = x + 10 + x + 9 = 2x + 19
2(x + 7) + 5 = 2x + 14 + 5 = 2x + 19
2x + 19 = 2x + 19
Answer: The expressions are equivalent.
The partial fraction expansion takes the form
-6<em>x</em>/((<em>x</em> + 2) (<em>x</em> + 8)) = <em>a</em>/(<em>x</em> + 2) + <em>b</em>/(<em>x</em> + 8)
Both factors in the denominator are linear, so the numerators in the corresponding partial fractions have degree 1 - 1 = 0 and are thus constants.
Combine the fractions on the right side into one with a common denominator, then set the numerators on both sides of the equation equal to each other:
-6<em>x</em> = <em>a</em> (<em>x</em> + 8) + <em>b</em> (<em>x</em> + 2)
Expand the right side and collect terms by powers of <em>x</em> :
-6<em>x</em> = (<em>a</em> + <em>b</em>) <em>x</em> + (8<em>a</em> + 2<em>b</em>)
It follows that
<em>a</em> + <em>b</em> = -6 and 8<em>a</em> + 2<em>b</em> = 0
==> <em>a</em> = -2 and <em>b</em> = 8
So we end up with
-6<em>x</em>/((<em>x</em> + 2) (<em>x</em> + 8)) = -2/(<em>x</em> + 2) + 8/(<em>x</em> + 8)
Answer:
$52.92
Step-by-step explanation:
The tax is 8% of $661.50.
8% of $661.50 = 8% × $661.50 = 0.08 × $661.50 = $52.92
Answer: $52.92
