The function f(x) varies inversely with x and f(x)=2 when x = 16.

What is f(x) when x = 4?

Answers

Answer 1

Answer: The correct answer is:  [D]:  "8" .

Step-by-step explanation:f y varies inversely with x;  then y = k/x ; with "k" being the "constant" in this equation.  

You can find the constant by substituting the values given: x = 16,  f(x) = y = 2 ;

So, f(x) = y = 2  = k/16 ;

→  2 = k / 16 ;

Solve for the constant; "k" ;

Multiply EACH SIDE of the equation by "16"

→  16* (2) = (k / 16) * 16 ;

→  32 = k ;

 ↔  k = 32 ;  

As such, we can write the equation:

y = k/ x ; as:

→  y = 32/ x ;

Since we are given:  "x = 4" ;  Plug in that value; and solve for "y" ;

y = 32/4 = 8 .

y = 8 .

y = f(x) ;

So;  f(x) = 8 ;  which is:  Answer choice:  [D]:  "8" .


Related Questions

- 2(x + 1) =- 2x + 5
How many solutions

Answers

Answer:

-2(x+1)=-2x + 5= (0=7)

Step-by-step explanation:

get solution it helps so much

Answer:

the answer has no solutions

Step-by-step explanation:

there's no value for x

Which of the following expressions are equivalent? I. 10(k + 4) II. 10k + 40 III. 5(2k + 8)
2 points
A) I and II only
B) I and III only
C) II and III only
D) I, II, and III

Answers

Answer:

The answer is D.

Step-by-step explanation:

1. 10(k+4) → 10•k + 4•10 → 10k+40

2. is how it is

3. 5(2k+8) → 5•2k + 5•8 → 10k+40

so it's 1,2,&3

The answer is c I took the test and got it right

Please hurry I need this fast

Answers

Answer:

C

Step-by-step explanation:

Answer:a

Step-by-step explanation: a

multiply .035 times a power of ten so that the product is greater than 1 but less than 100​

Answers

Answer:

0.035 x 10^3

Step-by-step explanation:

yes

What is the best name of the line?

Answers

The radius is the answer

Write an integer for:
13° below zero

Answers

The answer would be -13

Solve the proportion34.5x=5672 , rounding your answer to the nearest tenth

Answers

Answer:

164.4

Step-by-step explanation:

34.5x=5672

34.5   34.5

      x=164.4

What is cos 30°?
O A
B. 1
OC
-IS
OD
O
E.
O EV3

Answers

Answer:

cos (30 deg) = sqrt (3) /2

Step-by-step explanation:

At a game show, there are three doors marked 1, 2, and 3. A contestant is allowed to select one of three keys labeled A, B, and C and then use it to open one of the doors. The sample space showing the ways in which a contestant can select a key and a door is represented in the table.

Door
1 2 3
Key A A-1
A-3
B B-1 B-2 B-3
C C-1 C-2
C-3


What is the missing term in the table? If there were two doors instead of three doors, what would the sample size be?

A.
The missing term is A-2. The sample size would be 6.
B.
The missing term is C-2. The sample size would be 8.
C.
The missing term is C-2. The sample size would be 9.
D.
The missing term is B-2. The sample size would be 12.

Answers

Answer:

It is A

Step-by-step explanation:

The answer is A. The missing term is A-2. The sample size would be 6.

a. To answer the question, we need to know what sample space is.

What is a sample space?

A sample space is the total number of possible outcomes of an event.

Now, since there are Doors 1, 2 and 3 and Keys A, B and C. The sample space is

Key A: A-1, A-2, A-3

Key B: B-1, B-2, B-3

Key C: C-1, C-2, C-3

So, the missing item is A-2.

b.

The sample size would be 6.

To answer the question, we need to know what sample size is.

What is sample size?

The sample size is the size of the sample space.

If there were two doors instead of 3, the sample size would be since we have 2 doors and 3 keys. The sample size is 2 × 3 = 6.

So, the sample size would be 6.

So, the answer is A. The missing term is A-2. The sample size would be 6.

Learn more about sample space here:

https://brainly.com/question/2117233

#SPJ2

i need help again again again again again​

Answers

Answer:

D. 340.511

Step-by-step explanation:

when rounding 4 and lower rounds to 340 but 5 and up rounds to 341

ANSWER NOW!!!!!!!!!!!!!!! Max remodeling his living room and is having carpet installed. The installation fee is $300.00. The carpet is priced at $3.75 per square foot, x. Which equation best represents the total cost, y, of the remodel?

Answers

Answer:

y = 3.75x + 300

Step-by-step explanation:

hope it was in time :)

Answer:

56

Step-by-step explanation:

56

HELP!!!! Read the following story carefully, and then complete the activities that follow.

"Good-bye, Mom," Tino cried as he rushed out the door. Tino had his new fishing pole with him and was anxious to try it out.

Tino Kanaha (kan' ah hah) was a Hawaiian boy. He had just turned twelve the day before and had received the fishing pole as a gift from his father.

Tino's house was about a half mile from the cliff overlooking the leeward side of Maui. Many times Tino had climbed down to the rocks below and looked for seashells while his father fished for aku.

"Now it's my turn," thought Tino as he scurried out onto one of the rocks, "and I get to do it all by myself!"

"Aku, here I come!" yelled Tino excitedly as he cast his bait into the surf.

An hour later, Tino heard someone call his name. He looked up and saw his good friend, Kona. "Have you caught anything?" Kona yelled.

"Oh, hi, Kona," Tino said disappointedly. "Wait for me, and I'll be right up."

As Tino reeled in his line, he noticed the waves were much bigger than they had been before. "The wind is stronger, too, " thought Tino as he glanced at the darkening sky.

"We'd better hurry home," Tino said to Kona as he reached the top of the hill. The two boys ran as quickly as they could. They even took the short cut through the sugar cane field to save time.

Kona raced into his yard and, without stopping, he yelled, "Good-bye, Tino! I'll see you tomorrow!"

The first big drops of rain began to fall as Tino reached the front door of his house.

"Oh, I'm glad you're home!" Mrs. Kanaha said. "It is beginning to rain very hard!"

"The storm must be the reason the fish weren't biting," Tino said as he put his fishing pole into the rack on the porch, "but I'll try again tomorrow."



Give two details that are clues that Tino did not catch any fish.

Answers

Detail 1: In the second to last paragraph Tito states that “the storm must be the reason the fish weren’t biting” indicating that the he didn’t catch any fish

Detail 2: When Tito’s friend Mona asks “Have you caught anything ?” Tito doesn’t answer the question and only says “Oh hi Kona” which shows that he didn’t catch a fish yet
Clue #1 - “Oh, hi, Kona,” Tino said DISAPPOINTEDLY. “Wait for me, and I’ll be right up.”

Clue #2- “The storm must be the reason THE FISH WERENT BITING,” Toni said as he put his fishing pole into the rack on the porch, “but I’ll try again tomorrow.”

Solve this mattistep equation
SHOW YOUR WORK
f. (t + 3) = 40

Answers

Answer:

t=37

Step-by-step explanation:

t+3=40

Step 1: Subtract 3 from both sides.

t+3−3=40−3

t=37

T=37
Explanation- The answer is 37 because if you add 3+37 you get the answer 40 that’s how I got my answer.

Please help UwU
also hope your day is going GREAT
if correct i will give BRAINIEST

Answers

Answer:

b bro and u get a good day too

Answer:

Pretty sure its C  >:]

Explanation:

    It's the third option because if you put a piece of paper in the corner its a lil more than 90 degrees, so it wouldn't be B (there's a little more white space left). And it obviously wouldn't be A because that's self explanatory, lol.

    And you can't make a perfect square in the inside of the angle so that's another way to tell.

Extra:

I hope you have an amazing day too,, you seem very nice ^-^   good luck on your schoolwork today :]

an ancient atifact is 4 time older then an anitque book

Answers

(antique book age)*4 idrk the question but i hope this helps

HELP NOW !!!!!!!! solve ∣x − 6∣= 2

Answers

Answer:

x=8

Step-by-step explanation:

<3

Answer:

{8,4}     can you mark as brainliest

Jayden budgets $400 of his $3,200 monthly income towards donations. What percent of his income does he donate each month?

Answers

Answer:

12.5%

Step-by-step explanation:

400 divided by 3200= .125

.125 x 100= 12.5

12.5%

need help.with this problem ​

Answers

Answer:

Step-by-step explanation:

A(2,2) B(-2,1) and C( 3,-3)

reflection over the the y-axis of (x, y) becomes ( -x, y)

A'( -2,2), B'( 2, 1) and C'( -3,-3)

You are a personnel director and are interested in predicting the Number of Shares of Company Stock (Y) using the Number of Years Employed with the Company (X). You randomly selected 8 employees and found that the average number of shares is 525 and the average number of years employed is 22.5. If the slope (b1) is 20.0, what is the least squares estimate of the intercept (b0)?
a. 25.0
b. 75.0
c. 40.0
d. 80.5
e. None of these are correct

Answers

Answer:

b. 75.0

Step-by-step explanation:

Calculation for the least squares estimate of the intercept (b0)

Using this formula

Intercept (b0) least squares estimate=[Shares average number-(Slope (b1)*Average number of years employed)]

Let plug in the formula

Intercept (b0) least squares estimate=[525-(20.0*22.5)]

Intercept (b0) least squares estimate=525-450

Intercept (b0) least squares estimate=75.0

Therefore the least squares estimate of the intercept (b0) will be 75.0

what is the percent of decrease from 4 to 1

Answers

Answer:

75%

Step-by-step explanation:

It went down by 3 so,

4-1=3

4 * 75% or 0.75=3

8z - 13 = 5z + 8 The Zs are variables ​

Answers

43 is the answer for the whole equation

Fasssssssst neeeeeed answer

Answers

Answer:

20%

Step-by-step explanation:

14/70=0.2

0.2=20%

Answer:

I believe it is 20 %

Please help me solve this question will give you braisnlt !

Answers

Answer:

C

Step-by-step explanation:

In slope intercept form y=mx+b

m is your rate of change/ slope

since the slope is +5

This means that your rate of change, in this case elevation, is 5 feet per minute.

As for b which is your y intercept, the -30 can be represented by the point (0,-30) on a graph it would be -30ft below the x axis. Meaning that if the diver lets say is the point he is 30 feet below sea level and acsending at a rate of 5 feet per minute.

If the empire state building stands at around 1,454 feet and something is born every 0.00000000000000000000005 second how long is the average toenail length for a standard bridge troll? (I'm asking for a friend of mine..)

Answers

Answer:

Length = 0

Step-by-step explanation:

The bridge troll is tearing his toe nails up climbing the Empire State Building.

Find the average rate of change for the given function
from x = -1 to x = 5. (4 points)


NEED EXPLAINING THX

Answers

Answer:

- 1

Step-by-step explanation:

All you need to do is find the slope. How you do that is y2-y1/x2-x1

Yours would look like this:

[tex]\frac{1-7}{5-(-1)}=\frac{-6}{6}[/tex]

Then you simplify to get -1

Jesse is traveling up and down a stream in a kayak. He can paddle the kayak at an average rate of 5 miles/hour, and the round-trip is a total distance of 16 miles. When cis
the speed of the current, this expression can be used to find the difference of the time it takes Jesse to travel upstream (against the current) and downstream (with the
current).

8/5-c - 8/5+c

Find the difference in simplest form.

Answers

Answer:

16c

Step-by-step explanation:

The simplest form is: [tex]\frac{16c}{25-c^2}[/tex].

Total distance = 16 miles.

So each distance = 16/2=8 miles.

Given: He can paddle the kayak at an average rate of 5 miles/hour.

And the speed of the current is = c

So the speed while going up = (5-c)

The speed while going down=(5+c).

So the time while going up = [tex]\frac{8}{5-c}[/tex]

The time while going down=[tex]\frac{8}{5+c}[/tex].

So the difference is:

[tex]\frac{8}{5-c}-\frac{8}{5+c}\\=\frac{8(5+c)}{(5-c)(5+c)}- \frac{8(5-c)}{(5-c)(5+c)}\\=\frac{8(5+c)-8(5-c)}{(5-c)(5+c)}\\=\frac{40+8c-40+8c}{(5-c)(5+c)}\\=\frac{16c}{(5-c)(5+c)}\\=\frac{16c}{25-c^2}[/tex]

Learn more: https://brainly.com/question/6237128

At time T equals zero, water begins to drip out of the pipe into an empty bucket. After 42 minutes, there are 6 inches of water in the bucket. Right Ellen air function rule to model how many inches of water W are in the bucket after any number of minutes T.

Answers

the values of 'm' and 'b' are 0.5 and 0 respectively.

Step-by-step explanation:

Last week, Charlie put 15 gallons of gas in his car and paid $50.25. Yesterday, Charlie put 12 gallons of gas in his car and paid $40.20. If the price of gas remains the same, how much will it cost Charlie to put gas in his car next week? Select ALL that apply.
A
Charlie can put 8 gallons of gas in his car for $26.80.

B
Charlie can put 11 gallons of gas in his car for $38.65.

C
Charlie can put 14 gallons of gas in his car for $47.90.

D
Charlie can put 17 gallons of gas in his car for $56.95.

Answers

Answer:

A and D

Step-by-step explanation:

So I divided $50.25 by 15 and I got 3.35. Then I divided $40.20 by 12 and got 3.35 again. So I multiplied 8, 11, 14, and 17 by 3.35. I got the right answer for 8 (A) and 17 (D).

Find (x + 3) (x^2 – 2x – 8).

Answers

Answer:

(x−4)(x+2)(x+3

i think

Answer:

x^3 +x^2 -14x -24

Step-by-step explanation:

Use distributive property:

x(x^2)+x(-2x)+x(-8)+3(x^2)+3(-2x)+3(-8)

x^3 -2x^2 -8x +3x^2 -6x -24

x^3 +x^2 -14x -24

For a test, my teacher asks, "Give two different ratios with a description of the ratio relationship using the following information. There are 15 golden retriever dogs in the dog park. There are 10 basset hound dogs in the dog park." Please help!

Answers

15:10, 15 to 10, or 15/10
Other Questions
Which of the following was not an effect of the Green Revolution? Which point is a solution to the given system of inequalities Are this anwers right Please help please help please help please help A firm has a tax burden of 0.6, a leverage ratio of 1.2, an interest burden of 0.7, and a return-on-sales ratio of 14%. The firm generates $2.64 in sales per dollar of assets. What is the firm's ROE A bakery sells mocha cupcakes and chocolate cupcakes. One day it sold 28 mocha and52 chocolate. What percent of the cupcakes sold that day were mocha? Forces affect motions in living and nonliving things. In a human, swallowed food moves down the esophagus into the stomach, even if the human is upside down doing a handstand. Which force moves food through the esophagus into the stomach?a:Frictional force in the esophagus moves food through the esophagus.b:Gravitational force pulls food through the esophagus. c:Magnetic force in the stomach pulls food through the esophagus into the stomach. d:Push force from contractions of the esophagus moves food through the esophagus. HELP HELP MEEEEE HELPPPPPPPPPPPPPPPPPPP 5w+ 16 = 96 solve for w simplify your answer as much as possible In what time signature do accents happen most frequently Which statement best explains how paragraph 3 of the excerpt from The Condition of the Working-Class in England in 1844 contributes to the development of ideas about the Industrial Revolution?It shows changes in rural life during the Industrial Revolution.It shows the labor demands on children before the Industrial Revolution.It shows aspects of rural life before the Industrial Revolution.It shows the financial situation of workers during the Industrial Revolution. Dr. Chen's patient is a life-long alcoholic who wants to quit drinking permanently. Support groups and other forms of therapy have not helped. Dr. Chen plans to recommend aversion therapy. Is Dr. Chen's treatment plan likely the best one for the patient? Yes. Once the patient associates alcohol with a negative consequence, the desire to drink will permanently disappear. Yes. Aversion therapy is the patient's only hope, considering traditional therapy has not been effective. No. Aversion therapy has been replaced with other behavioral techniques that have a more lasting impact. No. Electroconvulsive therapy should be ruled out as a viable solution before the use of aversion therapy. how to answer this. help me Match the technological improvement with the benefit it brings. (Answers on picture) You buy a winter jacket on sale for 40% off. You pay $54 for the jacket. What was the original cost? Show your work. PLEASE HELP simplify the following expression 4+-4+-9+7 You are an office manager. You have been asked to research the cost of an online messaging service. The service charges $3.25 per employee each month. However, if you sign up for a full one-year subscription, the charge drops to $2.80 per employee per month. Your office has 20 employees. We tend to like people who also like us. This is: can yall do the work of the answer 95 to this When the article states, "These neurohormones are like solvents that help your body process and recover from stressful situations." What type of literary device is being used here? What inference can be drawn from this literary device?