Answer:
B. f(x) = -x^3 - x^2 + 7x - 4
Step-by-step explanation:
For this problem, we want to find the fastest-growing term in our given expressions and equate them when x is - infinite and when x is infinite to see the given trends.
For each of these equations, we will simply take the terms with the highest power and consider those. The two cases we need to consider is + infinite for x and - infinite for x. Let's check each of these equations.
Note, any value raised to an even power will be positive. Any negative value raised to an odd power will be negative.
<u>[A] - x^4</u>
<em>When x is +∞ --> - (∞)^4 --> f(x) is -∞</em>
<em>When x is -∞ --> - (-∞)^4 --> f(x) is -∞</em>
<em />
<u>[B] - x^3</u>
<em>When x is +∞ --> - (∞)^3 --> f(x) is -∞</em>
<em>When x is -∞ --> - (-∞)^3 --> f(x) is ∞</em>
<em />
<u>[C] 2x^5</u>
<em>When x is +∞ --> 2(∞)^5 --> f(x) is ∞</em>
<em>When x is -∞ --> 2(-∞)^5 --> f(x) is -∞</em>
<em />
<u>[D] x^4</u>
<em>When x is +∞ --> (∞)^4 --> f(x) is ∞</em>
<em>When x is -∞ --> (-∞)^4 --> f(x) is ∞</em>
<em />
Notice how only option B, when looking at asymptotic (fastest-growing) values, satisfies the originally given conditions for the relation of x to f(x).
Cheers.
Step-by-step explanation:
mahirap yan kapatid, paturo ka ky jose rizal
Answer:
37/6
Step-by-step explanation:
Simplify the following:
(12 + 1/3)/2
Put 12 + 1/3 over the common denominator 3. 12 + 1/3 = (3×12)/3 + 1/3:
((3×12)/3 + 1/3)/2
3×12 = 36:
(36/3 + 1/3)/2
36/3 + 1/3 = (36 + 1)/3:
((36 + 1)/3)/2
36 + 1 = 37:
(37/3)/2
37/3×1/2 = 37/(3×2):
37/(3×2)
3×2 = 6:
Answer: 37/6
One minute later at 8:01pm. One lighthouse will flash 3 times (at 20, 40 and 60 seconds)...the other will flash twice (at 30 and 60 seconds). So they will both flash 60 seconds later, at 8:01
Answer:
1357, 1359, 1579, 1573, 1375, 1379, 1957, 1953
Step-by-step explanation:
Since this number needs to be less than 2000, the first number has to be 1. You can randomly pick and choose any of the numbers after that.
