Answer:
Step-by-step explanation:
To write the factored form, multiply a*c from the standard form . Here it is 2*2 = 4.
Then find factors of 4 that add to b=-4.
4: 1,2,4
-2+-2 = -4
Split the middle term into -2x+-2x and factor by grouping.
Answer:
So there are 126 five-digit integers where each subsequent digit is larger than the previous digit, going from left to right.
Hope This Helps!!!
Answer:
85
Step-by-step explanation:
Answer:
you're not doing anything wrong
Step-by-step explanation:
In order for cos⁻¹ to be a function, its range must be restricted to [0, π]. The cosine value that is its argument is cos(-4π/3) = -1/2. You have properly identified cos⁻¹(-1/2) to be 2π/3.
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Cos and cos⁻¹ are conceptually inverse functions. Hence, conceptually, cos⁻¹(cos(x)) = x, regardless of the value of x. The expected answer here may be -4π/3.
As we discussed above, that would be incorrect. Cos⁻¹ cannot produce output values in the range [-π, -2π] unless it is specifically defined to do so. That would be an unusual definition of cos⁻¹. Nothing in the problem statement suggests anything other than the usual definition of cos⁻¹ applies.
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This is a good one to discuss with your teacher.