<span>To start, this has a value in the hundreds position: 200. This would be translated into "n * 10^2" in standard notation. We also see that we're working with more than 2 * 100 in this case, so the value that gives an "n" between 1 and 10 to set as a multiplier is 2.5. This gives "2.5 * 10^2" as a proper form.</span>
All of the above is the right one
Y2-y1
x2-x1
(formula to use)
Explanation: (x,y) so
4=x1
0=y1
-1= x2
1=y2
1-0 over -1-4
1/-5
1/-5 is the slope
we are asked to determine three equivalent ratios for fractions. in this case, we just have to multiply a number each for the numerator and the denominator. we take, 2,3, and 4 in this case.
4/3: 8/6, 12/9, 16/1212/14: 24/28, 36/42, 48/566/9: 12/18, 18/27, 24/36
Looking at x^2 - x - 30, we see that 5*6=30, so we can immediately conclude that <span>x^2 - x - 30 = (x+5)(x-6). check this by multiplication.
</span><span>2m^2 - 2m - 60 can be reduced to 2(m^2 - m - 30), which in turn can be factored as 2(m+5)(m-6). The trick here is to notice how easily "2" can be factored out of the given equation.
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