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.
Answer:
The total number of adults will be: 120 adults
Step-by-step explanation:
Given that there were 24 adults and 10 children in a game.
Thus, adults to children ration = 24:10 or 24/10
- If there were 50 children, how many adults would be at the game?
Let 'x' be the number of adults when there 50 children.
so the ration of adults 'x' to 50 childern = x: 50 or x / 50
As the ratio is the same.
Thus,
24 : 10 = x : 50
24/10 = x/50
switching sides
x/50 = 24/10
x = 24/10 × 50
x = 120 adults
Therefore, the total number of adults will be: 120 adults
yes because m<1+m<4 = 180 degrees
Answer:
number of cups of pineapple to total number of cups...
6:11 or 6/11 or 6 to 11
Step-by-step explanation:
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