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Blizzard [7]
4 years ago
7

A coordinate plane with 4 lines. The first line is labeled a(x) and passes through (2, negative 4) and (0, 2) and continues past

(negative 1, 5). The second line is labeled f(x) and passes through (negative 6, negative 6), (negative 3, 0), and (0, 6). The third line is labeled g(x) and passes through (negative 2, negative 7), (0, negative 3), (1, negative 1) and (2, 1). The fourth line is labeled h(x) and passes through (negative 6, negative 6), (0, negative 3), and (6, 0). When Janelle woke up, it was –3 degrees Fahrenheit outside. As the morning progressed, the temperature rose 2 degrees every hour. Which line on the graph could represent this scenario? a(x) f(x) g(x) h(x)
Mathematics
1 answer:
goblinko [34]4 years ago
8 0

Answer:

the answer is g(x)

Step-by-step explanation:

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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
Minchanka [31]

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

8 0
3 years ago
Read 2 more answers
Someone please help me with number 4
AVprozaik [17]
The answer is 10√3 because
10√3 is equal to approximately 17.32051 and the formula for finding the area of a square is length multipled by width so 10√3 x 10√3 is equal to 300 or 17.32051 x 17.32051 is equal to 300
8 0
3 years ago
What is the value of x?
Westkost [7]

Answer:

x is equal to 20 in this picture.

Step-by-step explanation:

In order to find this, we need to note that these two angles will be equal to each other. Now we can put their values equal to each other and solve for x.

3x + 50 = 6x - 10

50 = 3x - 10

60 = 3x

20 = x

6 0
3 years ago
After he completed his graduate work, he became a professor at
KengaRu [80]
His school, but who is he?
8 0
3 years ago
U.S. Manufactured General Aviation Shipments, 2009–2015
Jobisdone [24]
U.S. Manufactured General Aviation Shipments, 2009–2015
Year Qtr 1 Qtr 2 Qtr 3 Qtr 4 Total
2009 310 408 390 477 1,585
2010 243 377 281 433 1,334
2011 268 289 286 480 1,323
2012 305 358 339 514 1,516
2013 329 413 353 520 1,615
2014 345 380 379 527 1,631
2015 296 374 378 544 1,592

Click here for the Excel Data File

(a) Plot the data on airplane shipments.


Plot A Plot B Plot C Plot D



multiple choice 1
Plot A
Plot B
Plot C
Plot D


(b) Can you see seasonal patterns?

multiple choice 2
Yes
No


(c) Use MegaStat or Minitab to calculate estimated seasonal indexes and trend. (Round your answers to 3 decimal places.)


Qtr1
Index Qtr2
Index Qtr3
Index Qtr4
Index






(d) In which quarters are shipments highest? Lowest? (You may select more than one answer. Click the box with a check mark for the correct answer and double click to empty the box for the wrong answer.)

Highest

check all that apply 1
Q1
Q2
Q3
Q4


Lowest

check all that apply 2
Q1
Q2
Q3
Q4


(e) Is there a trend in the deseasonalized data?

There is a slight
(Click to select)
trend in the deseasonalized data.
5 0
3 years ago
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