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Lena [83]
3 years ago
13

Which function represents g(x), a reflection of f(x) =

Mathematics
1 answer:
Ede4ka [16]3 years ago
6 0

Answer:

Option A.

Step-by-step explanation:

Note: The given function should be f(x)=\dfrac{2}{5}(10)^x instead of f(x)=(10)^x.

Consider the given function is  

f(x)=\dfrac{2}{5}(10)^x

We need to find the function which represents a reflection of f(x) across the x-axis.

If a function f(x) is reflected across the x-axis, then the new function is

g(x)=-f(x)

Using this rule, we get

g(x)=-\dfrac{2}{5}(10)^x        [\because f(x)=\dfrac{2}{5}(10)^x]

Therefore, the correct option is A.

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The image of RST in the graph shown below is rotated 90°counterclockwise around the origin to form R'S'T'.
Aleonysh [2.5K]

Answer:

Please check the explanation.

Step-by-step explanation:

Let suppose we have a point P(x, y) if we rotate our point 90 degrees counterclockwise about the origin, the new coordinates of the image of the point P can be obtained by switching 'x' and 'y' and making 'y' negative.

In other words,

P(x, y) → P'(-y, x)

From the given triangle ΔRST,

The coordinates of the point S is:

  • S(10, 1)

According to the rule, if we have a point S(10, 1), after rotations of 90 degrees counterclockwise about the origin, the new coordinates of the image of the point S(10, 1) will be:

S(10, 1) → S'(-1, 10)

Here,

S'(-1, 10)  is the image of the original point or pre-image point S(10, 1).

Therefore, the y-coordinate of the point S' is: 10

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3 years ago
What is the definition in statistics for sx and sy?
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7 0
3 years ago
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David weeds lawns in his neighborhood to earn money to buy video games. For each lawn, he charges $5.50. If he weeds 4 lawns on
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Step-by-step explanation:

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Shane worked 8 hours per day for 3 days. Andrew worked 6 hours per day for 4 days. If the normal working week is 36 hours, which
creativ13 [48]
Shane:
8 x 3 = 24 Because it is 8h per day for 3 days. Per is like times
24h out of 36  24/36 GCF is 12 divide to and bottom by 12
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Shane has worked for 66.6666666666% of 36 hours
 
 Andrew:
 4 x 6 = 24 
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Answer: Both of Andrew and Shane has worked for the exact same time, therefore they have the exact same percentage         <span />
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Then she needs to save $252.

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