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

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.

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).

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

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

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.

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

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)

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

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 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

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

Answers

43 is the answer for the whole equation

- 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

Please hurry I need this fast

Answers

Answer:

C

Step-by-step explanation:

Answer:a

Step-by-step explanation: a

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

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.

Write an integer for:
13° below zero

Answers

The answer would be -13

HELP NOW !!!!!!!! solve ∣x − 6∣= 2

Answers

Answer:

x=8

Step-by-step explanation:

<3

Answer:

{8,4}     can you mark as brainliest

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 :]

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:

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

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.”

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%

What is the best name of the line?

Answers

The radius is the answer

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

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

Fasssssssst neeeeeed answer

Answers

Answer:

20%

Step-by-step explanation:

14/70=0.2

0.2=20%

Answer:

I believe it is 20 %

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

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

an ancient atifact is 4 time older then an anitque book

Answers

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