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Answer:
First option: As x⇒ ∞ f(x) ⇒ -∞. As x⇒ -∞ f(x) ⇒ ∞.
Step-by-step explanation:
Rearrange the equation:
f(x) = -x³ - 2x² + 1
This is a negative cubic function. The function decreases over the interval
(-∞, ∞). Therefore:
As x⇒ ∞ f(x) ⇒ -∞.
As x⇒ -∞ f(x) ⇒ ∞.
This is the first option.
Answer:
1) a right triangle
Step-by-step explanation:
One of the caractheristics of a right triangle, the one in which the sum of the two sides squared is the hypotenuse squared(Pytagorean Theorem), is also the the altitudes of a triangle meet at one of the triangle’s vertices. So 1) is the answer to this question.
1 ft = 12 in
6 in = 6/12 = 0.5 ft
9 in = 9/12 = 0.75 ft
D = M/V ⇒ M = DV
V = 0.5 * 0.5 * 0.75 = 0.1875 cubic foot
M = 41.7 * 0.1875 ≈ 7.8 pounds
Answer: B.
Answer:
95 cents per Muffin
Step-by-step explanation:
Set up the long division.
8 | 7 6 0
2. Calculate 76 ÷ 8, which is 9 with a remainder of 4.
9
8 | 7 6 0
7 2
4
3. Bring down 0, so that 40 is large enough to be divided by 8.
9
8 | 7 6 0
7 2
4 0
4. Calculate 40 ÷ 8, which is 5.
9 5
8 | 7 6 0
7 2
4 0
4 0
5. Therefore, 760 ÷ 8 = 95.