The rule for sequence is:
Step-by-step explanation:
To write the function rule, we have to check first whether it is an arithmetic sequence or geometric sequence
So
We have to find the common difference first. Common difference is the difference between two consecutive terms of a arithmetic sequence.
So,
Here
The common difference is same so the sequence is an arithmetic sequence.
The explicit formula for an arithmetic sequence is:
Putting the values of d and a_1 we get,
Hence,
The rule for sequence is:
Keywords: Functions Rule, Arithmetic sequence
Learn more about arithmetic sequence at:
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The surface are of the shape is 251.5 units (sorry if that is wrong)
We FOIL, multiply firsts, outers, inners and lasts, and add them all up.
(x-3)(x+2) = x·x + 2x - 3x + (-3)(2) = x² - x - 6
Answer: x² - x - 6
The figure is a right triangle so we can use the Pythagorean theorem to find the third side AKA the hypotenuse.
Pythagorean theorem = a² + b² = c² where A and B are the legs of the triangle and C is the hypotenuse.
39² + 80² = c²
169 + 6400 = c²
6569 = c²
Square root both sides to cancel out the squared variable.
√6569 = √(c²)
√6569 = c
The third side, the hypotenuse, is √6569 units long.
Answer:
Step-by-step explanation:
The question is slightly ambiguous. The problem is, do you find the first 40 hours using 10x and then the second equation using x >40. I don't think so, but it should be made clear. It turns out that the first 40 hours does equal 400 so that you can use the second expression with no worries.
w(53) = 15(53 - 40) + 400
w(53) = 15(13) + 400
w(53) = 195 + 400
w(53) = 595
