The end behavior of the function y = x² is given as follows:
f(x) -> ∞ as x -> - ∞; f(x) -> ∞ as x -> - ∞.
<h3>How to identify the end behavior of a function?</h3>
The end behavior of a function is given by the limit of f(x) when x goes to both negative and positive infinity.
In this problem, the function is:
y = x².
When x goes to negative infinity, the limit is:
lim x -> - ∞ f(x) = (-∞)² = ∞.
Meaning that the function is increasing at the left corner of it's graph.
When x goes to positive infinity, the limit is:
lim x -> ∞ f(x) = (∞)² = ∞.
Meaning that the function is also increasing at the right corner of it's graph.
Thus the last option is the correct option regarding the end behavior of the function.
<h3>Missing information</h3>
We suppose that the function is y = x².
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J=amount Jake has; F=amount Fred has=2J
J+F=$54
J+2J=$54
3J=$54
J=$18
ANSWER 1: Jake has $18.
F=2J=2($18)=$36 ANSWER 2: Fred has $36.
The function is illustrated below based on the information.
<h3>How to describe the function?</h3>
When x <= 8000
The cost remains constant at 0.35 when x increases from 0 to 8000. The slope of the cost function over this part is 0
When 8000 < x <= 20000
The cost remains constant at 0.75 when x increases from 8000 to 20000 and the slope of the cost function over this part is 0.
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Answer:
20
Step-by-step explanation:
given:
b=5
c=8
6(b-3)+ c
6(5-3)+8
6(2)+8
12+8
20
other method
6(b-3)+c
6b-18+8
30-18+8
12+8
20
It sounds like your book is asking "what is the probability that the card is either a black card or a 9"
If so, there are 26 black cards (13 spades and 13 clubs) and four cards that have "9" on them (one in each suit). We have 26+4 = 30 cards that are either one or the other. There is overlap though. Namely the 2 black cards that have "9" on them (we count them twice), so we should subtract to get 30-2 = 28
There are 28 cards that either have a '9' on them, they are black, or both
This is out of 52 cards total
Divide the two values: 28/52 = 14/26 = 7/13 = 0.53846
Answer as a fraction: 7/13
Answer in decimal form: 0.53846
Answer as a percentage: 53.846%
Side note: the decimal form and percentage form are approximate
