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blsea [12.9K]
1 year ago
7

Which of the statements are true about the function f given by f(x) = 100-e? Select all that apply.

Mathematics
1 answer:
tatiyna1 year ago
6 0

From the above function, it is clear that the value of f is never 0. Hence the statement that is true is (Option E), See explanation of same below.

<h3>What is the explanation for the above function?</h3>

Note that the function is related to Euler's number which is depicted as:
e ≈ 2.7182. The function is given as:

f(x) = 100 * e^{-x}

Assuming x = -2, we'd have:

100 * 2.7182^{-2}

= 271.82^{-2}

= 0.00001353354

Hence, even when x tends < 0 the function f(x) thus, is never 0. See the attached graph for confirmation.

Learn more about functions at:

brainly.com/question/25638609

#SPJ1

You might be interested in
Someone help please❤️ &amp; Thankyou!!
S_A_V [24]

Answers:

  • 300 = 12i+36s
  • i = 10
  • Yes it's reasonable
  • i = -11

Refer to the diagram below.

The explanation for each part is below as well.

========================================================

Part 1

i = number of individual nail polish bottles

s = number of sets of 4

12i = money earned from just selling the individual bottles only

36s = money earned from just selling the sets of 4 only

12i+36s = total money earned = 300

12i+36s = 300 is the equation to set up

This is the same as 300 = 12i+36s  because A = B is the same as B = A.

========================================================

Part 2

Plug in s = 5 to represent she sold 5 sets. Let's solve for i

12i+36s = 300

12i+36(5) = 300

12i+180 = 300

12i = 300-180

12i = 120

i = 120/12

i = 10

If she wants to sell $300 worth of product overall, and she already sold 5 sets so far, then she needs to sell 10 individual bottles to reach this monthly goal.

========================================================

Part 3

Yes it's reasonable to reach this goal. This is because the value of i (from part 2) was some positive whole number.

========================================================

Part 4

We'll repeat part 2 but with s = 12

12i+36s = 300

12i+36(12) = 300

12i+432 = 300

12i = 300-432

12i = -132

i = -132/12

i = -11

As the instructions state, we get a negative value. This is not reasonable because we can't sell a negative number of items. A negative number of items in general doesn't make sense.

The instructions further state that $432 was already made and that she exceeded her goal. Meaning that she doesn't have to worry about selling the individual bottles if selling the sets has her reach something over $300.

6 0
3 years ago
The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with th
SCORPION-xisa [38]

The probability of picking a card with an even number is \frac{3}{10}.

<h3>What is probability?</h3>
  • Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true.
  • The probability of an event is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.

To find the probability of picking a card with an even number:

  • There are 10 cards on which numbers are written 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29.
  • These cards are placed on a table with the numbers facing down.
  • To find the probability of picking a card with an even number, first, we count all the even numbers written on the cards.
  • 12, 14, and 18 out of 10 cards there are 3 even numbers written on the cards.
  • So, the probability of picking a card with an even number is \frac{3}{10}.

Therefore, the probability of picking a card with an even number is \frac{3}{10}.

Know more about probability here:

brainly.com/question/24756209

#SPJ4

COMPLETE QUESTION:

The numbers 7, 11, 12, 13, 14, 18, 21, 23, 27, and 29 are written on separate cards, and the cards are placed on a table with the numbers facing down. The probability of picking a card with an even number is _____.

5 0
1 year ago
What is the area of the polygon H(3, 2), I(5, 2), J(5, 7), K(3, 7)
kobusy [5.1K]

Answer:

area = 10

Explanation:

8 0
3 years ago
Find the area and circumference of the circle. Use 3.14 for A.
Kaylis [27]

Answer:

A = 63.59

C = 28.26

Step-by-step explanation:

r = 4.5

Area of a circle:

A = πr²

A = 3.14(4.5²)

A = 3.14(20.25)

A = 63.59

Circumference:

C = 2πr

C = 2(3.14)(4.5)

C = 28.26

8 0
3 years ago
77 million to 200.2 million
Aleonysh [2.5K]
200.2 million?????????
6 0
3 years ago
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