The answer is 2 and over it is 3
Answer:
Step-by-step explanation:
<u>Since all graphs pass throught the origin, they all have the form of:</u>
- y = ax², where a- coefficient
The coefficient of each graph's equation can be calculated based on the given pairs of points.
Each of them calculated for you and attached below.
Answer:
4.5 inches
Step-by-step explanation:
volume= 1/3 (base area) × height
47.25= 1/3 ( base area) × 7
20.25 = base area
now since the base is a square we can evaluate base area = length²
20.25= length²
length = 4.5 inches
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.
Answer: 15
Step-by-step explanation: 75 divided by 5 = 15
Hope this helps!
