Answer:
m = 44
Step-by-step explanation:
USe the pythagoream thyroem a^2 + b^2 = m^2. so 10^2 + m = 12^2
or 100 + m = 144. subtract 100 from both sides, you get m = 44
Answer:
(-5, 0) ∪ (5, ∞)
Step-by-step explanation:
I find a graph convenient for this purpose. (See below)
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When you want to find where a function is increasing or decreasing, you want to look at the sign of the derivative. Here, the derivative is ...
f'(x) = 4x^3 -100x = 4x(x^2 -25) = 4x(x +5)(x -5)
This has zeros at x=-5, x=0, and x=5. The sign of the derivative will be positive when 0 or 2 factors have negative signs. The signs change at the zeros. So, the intervals of f' having a positive sign are (-5, 0) and (5, ∞).
Recipe 1 : 4 cups oj with 6 cups pineapple.....ratio of 4/6 reduces to 2/3
recipe 2 : 6 cups oj with 9 cups pineapple...ratio 6/9 reduces to 2/3
recipe 3 : 9 cups oj with 12 cups pineapple....ratio 9/12 reduces to 3/4
so recipe 1 and recipe 2 will taste the same because the ratios are the same...and recipe 3 will be the different tasting one because it has a different ratio mixture
The pattern first of all is divide the number by -5. (12500/ -5 = -2500, and so on) Since we know that, you divide -100 by -5 which gets you 20, then 20 by -5 which gets you -4.
The next two numbers are 20, and -4
Hope this helps!
(2x-1)×4=8x-4
I hope it helps ;)