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What is an equation for a graph that is parallel to the graph of y equals -0.5x plus 2?
y = -0.5x plus or minus any number
What is the solution to cos x equals 3 cos x - 2?
1
How do you factor 2x squared minus 16x plus 14?
2(x - 7)(x - 1)
What is 7x plus 8 equals 10x minus 2?
7x + 8 = 10x - 2 ∴ 3x = 10 ∴ x = 10/3
What is the answer to the problem X cubed plus six x squared plus three x plus one divided by x minus two?
Your answer will depend on the parameters of the instructions. If you're looking for the first derivative, simply use the product rule by changing the denominator to a negative exponent and bringing it up (take the negative square root of the quantity x-2 to the top). Then, follow the rules of calculus and algebra. Wow, that's a mess. Let's see... you get "the quantity x cubed plus 6x squared plus 3x plus 1 times the quantity -1(x-2) raised to the negative second plus the quantity x-2 raised to the negative first times the quantity 3x squared plus 12x plus 3." This is because of the Product Rule. Simplifying (by factoring out (x-2) raised to the negative second and combining like terms) gives us "(x-2) raised to the negative second times the quantity 2x cubed minus 24x minus 7." This can also be written as "2x cubed minus 24x minus 7 all over the quantity x-2 squared." f'(x)= 2x^3-24x-7 (x-2)^2
