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Nezavi [6.7K]
3 years ago
11

Which of the following shows the graphic representation of the exponential function f(x)=3^x

Mathematics
2 answers:
vampirchik [111]3 years ago
7 0

Answer:

Option B is correct.

Step-by-step explanation:

The exponential function is in the form of :

y = ab^x

where, a is the initial value and b is the growth rate.

If b > 1 , then the graph is exponentially growth.

If 0< b< 1, then the graph is exponentially decay.

Given the exponential function:

f(x)=y = 3^x

on comparing with [1] we have;

a =1 and b = 3 > 1

⇒ the function is exponentially growth.

y-intercept:

Substitute x = 0 and solve for y:

then;

y = 3^0 = 1

y-intercept = (0, 1)

or

Initial value = 1

End behavior:

If x \rightarrow \infty, then f(x) \rightarrow \infty

and

If x \rightarrow -\infty, then f(x) \rightarrow 0

Therefore, the option B is correct.

Artyom0805 [142]3 years ago
3 0
I believe the answer is B. 
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The amount of time it takes for a student to complete a statistics quiz is uniformly distributed between 30 and 60 minutes. One
Stella [2.4K]

Answer:

a) 0.1667 = 16.67% probability that the student requires more than 55 minutes to complete the quiz.

b) 0.3333 = 33.33% probability that the student completes the quiz in a time between 30 and 40 minutes.

c) 0% probability that the student completes the quiz in exactly 37.23 minutes.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.  

The probability of finding a value of at lower than x is:

P(X < x) = \frac{x - a}{b - a}

The probability of finding a value between c and d is:

P(c \leq X \leq d) = \frac{d - c}{b - a}

The probability of finding a value above x is:

P(X > x) = \frac{b - x}{b - a}

Uniformly distributed between 30 and 60 minutes.

This means that a = 30, b = 60

a. The student requires more than 55 minutes to complete the quiz.

P(X > 55) = \frac{60 - 55}{60 - 30} = 0.1667

0.1667 = 16.67% probability that the student requires more than 55 minutes to complete the quiz.

b. The student completes the quiz in a time between 30 and 40 minutes.

P(30 \leq X \leq 40) = \frac{40 - 30}{60 - 30} = 0.3333

0.3333 = 33.33% probability that the student completes the quiz in a time between 30 and 40 minutes.

c. The student completes the quiz in exactly 37.23 minutes.

Probability of an exact value in a continuous distribution, such as the uniform distribution, is 0%, so:

0% probability that the student completes the quiz in exactly 37.23 minutes.

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3 years ago
Which value in scientific notation is about 876,468,451?
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Members of the pep club were selling raffle tickets for $1.50 and $5. The number of $1.50 tickets sold was two less than four ti
marysya [2.9K]

Answer:

see below

Step-by-step explanation:

1.5x + 5y = 1152    

x = 4y – 2

We can substitute the second equation into the first equation

Which one-variable linear equation can be formed using the substitution method?

1.5(4y-2) +5y = 1152  

Distribute

6y -3 +5y = 1152

Combine like terms

11y-3 = 1152

Add 3 to each side

11y-3+3 = 1152+3

11y = 1155

Divide each side by 11

11y/11 = 1155/11

y = 105

How many $5 raffle tickets were sold?

105 5 dollar tickets were sold

Now we need to find the number of 1.50 tickets

Which equation can be used to determine how many $1.50 raffle tickets were sold?

x = 4y – 2

x = 4(105) -2

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   = 418

How many $1.50 raffle tickets were sold?

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brainly.com/question/25638609

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