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Neporo4naja [7]
3 years ago
9

a) Find the value of x showing your steps. b) Identify the theorem or postulate that allows you to find this value. ​

Mathematics
1 answer:
strojnjashka [21]3 years ago
6 0

Answer:

2X=16

X= 8

Step-by-step explanation:

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Which function represents a vertical stretch of an exponential function?
nika2105 [10]

Answer:

A. f(x)=3(\frac{1}{2})^x

Step-by-step explanation:

The options are:

A. f(x)=3(\frac{1}{2})^x\\\\B. f(x)=\frac{1}{2}(3)^x\\\\C. f(x)=(3)^{2x}\\\\ D. f(x)=3^{(\frac{1}{2}x)}

For this exercise it is important to remember that, by definition, the Exponential parent functions have the form shown below:

f(x) = a^x

Where "a" is the base.

There are several transformations for a function f(x), some of those transformations are shown below:

1. If  bf(x) and  b>1, then the function is stretched vertically by a factor of "b".

2. If   bf(x)  and 0, then the function is  compressed vertically by a factor of "b"

Therefore, based on the information given above, you can identify that the function that represents a vertical stretch of an Exponential function, is the one given in the Option A. This is:

f(x)=3(\frac{1}{2})^x

Where the factor is:

b=3

And 3>1

7 0
3 years ago
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The region bounded by the given curve is rotated about the specified axis. find the volume v of the resulting solid by any metho
Blababa [14]
x^2+(y-2)^2=4\implies y=2\pm\sqrt{4-x^2}

describes a circle of radius 2 centered at (0,2). A revolution of this region about the y-axis would give you a sphere of radius 2, so the volume would be \dfrac43\pi\times2^3=\dfrac{32}3\pi.
4 0
3 years ago
How do you decompose 1 1/4
uysha [10]
<span>There are 4 EQUAL pieces.

To build 1 whole you must add together 4 pieces or compose the fraction with all four pieces 1/4 + 1/4 + 1/4 + 1/4 = 4/4 or 1 whole.</span>
8 0
4 years ago
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Zahid is paid a set wage of $774.72 for a 36-hour week, plus time-and-a-half for overtime. In one particular week he worked 43 h
Llana [10]

Answer:

$1000.68

Step-by-step explanation:

\frac{774.72}{36}  = 21.52 \: (per \: hour) \\ \frac{21.52}{2}  = 10.76 \:  \\ 21.52 + 10.76 = 32.28(per \: hour \: of \: over \: time) \\  \\ 43 - 36 = 7(hours \: of \: overtime) \\  \\ 7 \times 32.28 = 225.96 \\ 774.72 + 225.96 = 1000.68

8 0
2 years ago
A worker is paid $16.50 per hour. How much are they paid for working 37.25 hours?
miv72 [106K]

Answer:

$614.63

Step-by-step explanation:

you would multiple 16.50 by 37.25 and the answer comes to 614.625 you would round up to $614.63

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3 years ago
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