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4 years ago

Which graph represents the function f(x)=0.25x+5

Mathematics

1 answer:

FinnZ [79.3K]4 years ago

8 0

Answer:

Option D.

Step-by-step explanation:

Consider the given function

$f(x)=0.25^x+5$

We need to find the graph of given function.

Substitute x=0 in the given function to find the y-intercept of the function.

$f(0)=0.25^(0)+5$

$f(0)=1+5$

$f(0)=6$

So, y-intercept of the function is 6.

$(0.25)^x\rightarrow \infty$ as $x\rightarrow -\infty$

$(0.25)^x\rightarrow 0$ as $x\rightarrow \infty$

We can concluded that

$f(x)\rightarrow \infty$ as $x\rightarrow -\infty$

$f(x)\rightarrow 5$ as $x\rightarrow \infty$

Therefore, the correct option is D.

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A pizza delivery worker purchased a used motor scooter that had been driven 12{,}10012,100 miles. He drives the motor scooter on

In-s [12.5K]

Answer:

$25,000=50d+12,100$

Step-by-step explanation:

Let d represent the number of pizza delivery days.

We have been given that a pizza delivery worker drives the motor scooter only on days he is working, during which he drives an average of 50 miles per day. So the number of miles driven in d days will be 50d.

As the delivery worker purchased a used motor scooter that had been driven 12,100 miles. This means that initial value or y-intercept will be 12,100.

$\text{Total number of miles the scooter has been driven}=\text{Miles driven in d days+Initial value}$

Upon substituting our given values we will get,

$25,000=50d+12,100$

Therefore, the equation $25,000=50d+12,100$ models the total number of miles driven in d days of pizza delivery.

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3 years ago

Terrence walks 1/3mile in 1/12 hour. What is his walking speed in Miles per hour?

ohaa [14]

1/3 x 3 is one mile which is then 3/12 hours or 1/4 hours. Now multiply by 4 and you have

$\frac{4 \: miles}{per \: hour}$

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4 years ago

Suppose you just purchased a digital music player and have put 15 tracks on it. After listening to them you decide that you like

blsea [12.9K]

Answer:

Total songs = 15

Liked songs = 3

Un liked songs = 15-3=12

Find the probability that among the first two songs played

(a) You like both of them.

Probability that among the first two songs played you like both of them = $\frac{3}{15} \times \frac{2}{14} = 0.029$

(b) You like neither of them.

Probability that among the first two songs played you like neither of them = $\frac{12}{15} \times \frac{11}{14} = 0.629$

Probability that among the first two songs played you like exactly one of them = $\frac{3}{15} \times \frac{12}{14}+ \frac{12}{15} \times \frac{3}{14}= 0.343$

(d) Redo (a)-(c) if a song can be replayed before all

(a) You like both of them. Would this be unusual?

Probability that among the first two songs played you like both of them = $\frac{3}{15} \times \frac{3}{15} = 0.04$

(b) You like neither of them.

Probability that among the first two songs played you like neither of them = $\frac{12}{15} \times \frac{12}{15} = 0.64$

Probability that among the first two songs played you like exactly one of them = $\frac{3}{15} \times \frac{12}{15}+ \frac{12}{15} \times \frac{3}{15}= 0.32$

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4 years ago

You have a pot with 100 balls. 20 of them are red, 50 are blue and 30 are green. you decide to draw 5 balls from the pot without

g100num [7]

The probability of drawing exactly 5 blue balls is found as follows:
P(5 blue balls) = (50C5)/(100C5) = 0.02814 to 5 decimal places.

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4 years ago

Can anyone help with this question (quickly please) thanks

aniked [119]

Answer:

Step-by-step explanation:

You're trying to find the circumference of a circle. The general formula is: pi•D. D is the Diameter. 22/7 is the fraction version of Pi, so just do 3.14x28 and you will get your answer. 88

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4 years ago