1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
hoa [83]
3 years ago
13

A 2-column table has 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is la

beled f (x) with entries 16, 8, 4, 2, 1. Which exponential function is represented by the values in the table? f(x) = One-half(4)x f(x) = 4(4)x f(x) = 4(one-half) Superscript x f(x) = One-half (one-half) superscript x
Mathematics
2 answers:
Minchanka [31]3 years ago
8 0

The exponential function which represented by the values in the table is f(x)=4(\frac{1}{2})^{x} ⇒ 3rd answer

Step-by-step explanation:

The form of the exponential function is f(x)=a(b)^{x} , where

  • a is the initial value (when x = 0)
  • b is the growth/decay factor
  • If k > 1, then it is a growth factor
  • If 0 < k < 1, then it is a decay factor

The table:

→  x    :    f(x)

→ -2    :    16

→ -1     :    8

→  0    :    4

→   1    :    2

→   2   :     1

∵ f(x)=a(b)^{x}

- To find the exponential function substitute the value of x and f(x)

  by some values from the table to find a and b, at first use the

  point (0 , 4) to find the value of a

∵ x = 0 and f(x) = 4

∴ 4=a(b)^{0}

- Remember that any number to the power of zero equal 1

  except the zero

∵ b^{0}=1

∴ 4 = a(1)

∴ a = 4

Substitute the value of a in the equation

∴ f(x)=4(b)^{x}

- Chose any other point fro the table to find b, lets take (1 , 2)

∵ x = 1 and f(x) = 2

∴ 2=4(b)^{1}

∴ 2 = 4 b

- Divide both sides by 4

∴ b=\frac{2}{4}=\frac{1}{2}

- Substitute the value of b in the equation

∴ f(x)=4(\frac{1}{2})^{x}

The exponential function which represented by the values in the table is f(x)=4(\frac{1}{2})^{x}

Learn more:

You can learn more about the logarithmic functions in brainly.com/question/11921476

#LearnwithBrainly

Gemiola [76]3 years ago
3 0

Answer: It is the third table. Table C

You might be interested in
Part A
kodGreya [7K]
What was the answer?
8 0
3 years ago
Read 2 more answers
The length of a rectangle is four times its width. If the area of the rectangle is 324m^2, find its perimeter.
Anuta_ua [19.1K]

Answer:

perimeter=90

Step-by-step explanation:

We know that the length is four times the width, so:

l=4w

We also know the area, which is 324 m². The formula for area:

A=l*w

Insert the known values:

324=(4w)*w

Solve for w. Simplify by removing parentheses:

324=4w*w\\324=4w^2

Divide 4 from both sides to isolate the variable:

\frac{324}{4}=\frac{4w^2}{4}  \\\\81=w^2

Find the square root of both sides:

\sqrt{81} =\sqrt{w^2} \\\\w=9

The width is 9 m.

We know the width. Now find the length by using the area formula and inserting known values:

324=l*9

Solve for l. Divide both sides by 9:

\frac{324}{9}=\frac{l*9}{9}\\\\  l=36

The length of the rectangle is 36. (You can check: 4 times 9 is 36)

Now find the perimeter:

P=2l+2w

Insert values:

P=2(36)+2(9)\\\\P=72+18\\\\P=90

The perimeter is 90 m.

5 0
3 years ago
Factor this expression completely, then place the factors in the proper location on the grid. 9x2 - y2
andreev551 [17]

Answer:

{ \tt{ {9x}^{2} -  {y}^{2}  }} \\  = { \tt{( {3x)}^{2} -  {y}^{2}  }} \\  = { \tt{(3x - y)(3x + y)}}

6 0
3 years ago
Matthew walks 5/8 to the bus stop each morning. How far will he walk in 5 days?
fomenos
5 points not 10 but 5/8 each day 5 days=5 times 5/8=5/1 times 5/8=25/8=24/8+1/8=3+1/8=3 and 1/8 3 and 1/8 mile
8 0
3 years ago
What is the standard error of the sampling distribution of sample proportion?.
storchak [24]

Answer:

√ (p(1-p) / n)

Step-by-step explanation:

Standard Error(SE) of the Sample Proportion: √ (p(1-p) / n). Note: as the sample size increases, the standard error decreases.

<h3>---</h3>

Hope this helps you! Feel free to give feedback

5 0
2 years ago
Other questions:
  • The roots of the function f(x) = x2 – 2x – 3 are shown. What is the missing number?
    14·1 answer
  • The intelligence quotient (iq) test scores are normally distributed with a mean of 100 and a standard deviation of 15. what is t
    12·1 answer
  • You have 15 yards of ribbon for your gift boxes. Each box gets the same amount of ribbon. How much ribbon will each of your 20 g
    14·2 answers
  • If point b(6,4) undergoes the following translation (x-8,y+2) what are the coordinates of point b’
    15·1 answer
  • Find the limit, if it exists (picture below)
    8·1 answer
  • The top of the cylindrical can shown below has a diameter of 7 centimeters (cm).
    5·1 answer
  • If 75 people attend a concert and tickets for adults cost $2.75 while tickets for children cost $2.25 and
    13·1 answer
  • A survey was distributed to 2.000 employees and 90 percent of these employees responded to the survey. Of the employees respondi
    15·1 answer
  • If there are 1 080 pigs and sheep on the farm and the ratio of pigs to sheep are 7:5, how many
    14·2 answers
  • Solve the equation and justify the steps used to solve. <br> -7=n-6
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!