for any fraction a/b, the decimal format of it is just a ÷ b.
A)
is the number rational?
well, a rational number is one we can write as a ration or fraction, well clearly is a fraction so it is rational.
B)
can it be written as a repeating/recurring decimal? well, 9/20 is 0.45, so -9/20 is -0.45, no repeating decimal like 0.454545......... , just a plain vanilla -0.45, so nope.
C)
is it less than -0.4?
well, let's recall that for the negative side on the number line, the closer to 0, the larger the number, so then -1,000,000 is much smaller than -1, because -1 is closer to 0.
who is closer -0.4 or -0.45?
|--------------------- -0.45 -------- -0.40 ------------------- 0 --------------- 1 -------------------|
so, -0.45 is farther from 0, and therefore is smaller than -0.4, so yes.
To write the equation of a line, we use the equation: y = mx +b.
m is the slope of the line, which can be calculated using the equation:
m = (y2 - y1)/(x2 - x1)
We can choose any two points on the line to put into this equation. The red dots are at (0,0) and (-6,-2), so we will use those, but you would get the same answer by using any other pair of coordinates on the blue line.
m = (-2 - 0)/(-6 - 0) = 2/6 = 1/3
b is the y-intercept of the line. The y-intercept is the y-coordinate when the line crosses the y-axis. It crosses the y-axis at (0,0), so the y-intercept is 0.
Now, we plug our values back into the full equation to get the equation of the line.
y = mx + b
y = (1/3)x + 0
So the final answer is y = (1/3)x or y = x/3, depending on how you want to write it.
Subtract 7.50 - 4.00 and dived that answer by 10
The answer is 3f
<span>=<span><span>18f</span>+<span>−<span>15f</span></span></span></span><span>=<span>(<span><span>18f</span>+<span>−<span>15f</span></span></span>)</span></span><span>=<span>3<span>f</span></span></span>
What inequality? its not here.
