Slope denoted as m can be calculated from 2 diff. points using the formula:
(y2 - y1) / (x2 - x1) = 1 - 12 / 25 - 0 = -11 / 25
Slope-intercept form is y = mx + b. Using a point,
12 = -11/25(0) + b
12 = b
y-intercept is 12.
To summarize, slope is -11/25, negative because decreasing trend and y-intercept is 12.
If you're looking for a comparison word, greater or more would work. You could also use a numerical value and say 448,077 is 101,000 greater/more than 347,077.
The denominator of the first term is a difference of squares, such that
4<em>a</em> ² - <em>b</em> ² = (2<em>a</em>)² - <em>b</em> ² = (2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>)
So you can write the fractions as
(4<em>a</em> ² + <em>b</em> ²)/((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>)) - (2<em>a</em> - <em>b</em>)/(2<em>a</em> + <em>b</em>)
Multiply through the second fraction by 2<em>a</em> - <em>b</em> to get a common denominator:
(4<em>a</em> ² + <em>b</em> ²)/((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>)) - (2<em>a</em> - <em>b</em>)²/((2<em>a</em> + <em>b</em>) (2<em>a</em> - <em>b</em>))
((4<em>a</em> ² + <em>b</em> ²) - (2<em>a</em> - <em>b</em>)²) / ((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>))
Expand the numerator:
(4<em>a</em> ² + <em>b</em> ²) - (2<em>a</em> - <em>b</em>)²
(4<em>a</em> ² + <em>b</em> ²) - (4<em>a</em> ² - 4<em>ab</em> + <em>b</em> ²)
4<em>ab</em>
<em />
So the original expression reduces to
4<em>ab</em> / ((2<em>a</em> - <em>b</em>) (2<em>a</em> + <em>b</em>))
or
4<em>ab</em> / (4<em>a</em> ² - <em>b</em> ²)
upon condensing the denominator again.
Answer:
.13 cents per can
Step-by-step explanation:
If you bought 18 cans with $2.30, you need to divide 2.30 by 18 becauseyou need to find out the unit price for each can. When you divide .2.30 by 18 you get .1277777repeaing so you can just round up from there and get .13 cents.
Answer:
51.36=38
Step-by-step explanation:
You apply all these together:
64-31-3.64 + 22=51.36
51.36=38
