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Lelechka [254]
3 years ago
11

Below are two different functions, f(x) and g(x). What can be determined about their slopes?

Mathematics
2 answers:
kondor19780726 [428]3 years ago
6 0
I believe the correct answer from the choices listed above is the third option. From the given f(x) and g(x), we can say that both of the functions has the same slope which is three.

Hope this answers the question. Have a nice day.
Tatiana [17]3 years ago
3 0
They have the same slope. The slope of f(x) is 3 because it is the m in f(x)=mx+b. In the graph of g(x), the slope can be found by change in y divided by change in x, or rise over run. Between x=0 and x=1, the y value increases by three, from 2 to 5. The slope of g(x) is 3/1=1.
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So, if you are given the hypotenuse, then divide its length by \sqrt{2}

x = 12/\sqrt{2} = 12\sqrt{2}/2 = 6\sqrt{2} = 8.485

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3 years ago
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If x > 0 and y > 0, where is the point (x, y) located?
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Step-by-step explanation:

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Suppose f is a continuous function on [-2, 2) such that
Leviafan [203]

Answer:

2. a and b only.

Step-by-step explanation:

We can check all of the given conditions to see which is true and which false.

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b. the graph of f(-x)+x crosses the x-axis on (-2,2)

Let's test this condition, we will substitute x for the given values on the interval so we get:

f(-(-2))+(-2)

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f(-2)+2

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according to these results, the graph must cross the x-axis at some point so the graph can move from f(x)=-3 to f(x)=3, so this must be true.

c. f(c)<1 for all c in (-2,2)

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The final answer is then 2. a and b only.

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Answer:

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As for the coordinates, the coordinates plotted in the graph above are (1,-1) and (2,-2).

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