Answer:
-2
Step-by-step explanation:
You multiply each term by -2 to get the next term.
To find this for this sequence, divide the term on the right by the term on the left.
8 / -4 = -2 or -4 * -2 = 8
-16 / 8 = -2 or 8 * -2 = -16
32 / -16 = -2 or -16 * -2 = 32
-64 / 32 = -2 or 32 * -2 = -64
Answer:
4/10 divided by 4
Step-by-step explanation: multiply 2/5 by 2. Multiply on both the denominator and the numerator. If you were to simplify 4/10 you get 2/5 so that way you know if your answer is correct.
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.
2270 bottles of orange juice, 3027 bottles of apple juice, 1513 bottles of lime juice
3.5 hours: $10 because if a 1/2 hour equaled 1.25 : 3.5 hours would give you $7.75