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liq [111]
2 years ago
14

The length of a rectangle is 5 in. More than 3 times its width. The quadratic function f(x) = x(3x + 5) represents the area of t

he rectangle in terms of its width. What is a reasonable domain of the function?
Mathematics
1 answer:
True [87]2 years ago
6 0

Answer: Domain of function is R^{ + } or (0, \infty )

Step-by-step explanation:

Assuming x as width of rectangle

so, Width = x

Question says, Length is 5in more than 3 times id width.

we write as Length = 3x+5

Therefore, Area of rectangle will be given function f(x)

f(x) = x(3x+5)

Here, It is important to notice that width and length of rectangle will always be positive values and also, area of rectangle is always positive.

we can write in equation as

x > 0

f(x) > 0

Thus, Domain of function is R^{ + } or (0, \infty )

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Answer:

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Step-by-step explanation:

For the past data, we have observed that:

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The total of batters that we have observed is

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Therefore, this means that based on the observed data, the probability that a batter gets a hit is:

p(hit)=\frac{n(h)}{n}=\frac{15}{20}=0.75

where

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After that, we want to know how many batters we will expect to get a hit in the next 4 batters. We can write it as:

n(h) = 4 \cdot  p(hit)

And since

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We find:

n(h)=4\cdot 0.75 =3

So, we expect 3 batters to get a hit in the next 4.

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Step-by-step explanation:

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