1.) Not a sequence
2.) 2^n-1
3.) Not a sequence
4.) 81/3^n-1
5.) -(-3)^n-1
6.) Not a sequence
The correct answer is C: 1/(x + 4)(x - 5)
Why? Well, let's first simplify x^2 - 3x - 10 and x^2 + x - 12; the two denominators. Each of these should become an (x +/- number), and to figure out the number, as well as whether it is positive or negative, we can do a simple trick
Look at the factors of the right number (In this case, -10 and -12)
-10 -12
1 * -10 1 * -12
-1 * 10 -1 * 12
-2 * 5 -2 * 6
2 * -5 2 * -6
-3 * 4
4 * -3
Now for part 2
Which of these pairs add up to the middle number? One of the pairs of -10 should make -3, and likewise, one of the pairs of -12 should make 1 (when x has no number in front of it you may safely assume it is 1).
2 - 5 = -3 and 4 - 3 = 1, so we now know that the 2 fraction equations simplified is
x + 2 / (x + 2)(x - 5) * x - 3/(x -3)(x + 4)
Notice anything repeating? As long as they are apart of the same fraction, we can cross out anything that has the same x - number. Crossing out both x + 2 and x - 3, we now simply have x - 5 * x + 4. Because we crossed out both numerators, the top numbers both become 1, thus giving our answer, C.
The answer is B.
Hope that helped! :)
4 x 3 = 12
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Answer:
$694.06
Step-by-step explanation:
OG price= 1,029
discount=.05
sales tax =.065
1/3(og price)=1/3(1029)=343
one third of $1,029 is 343, hence we take off $343 from the orginial price
1029-343= $686--> sales price
.05*salesprice= .05*686=34.3
subtract 5% discount: 686-34.3= $651.71
=find 6.5% tax: .065*651.71= $42.36
add 6.5% tax: 651.81+42.36=694.06
