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AfilCa [17]
3 years ago
12

On a coordinate plane, 2 exponential fuctions are shown. Function f (x) decreases from quadrant 2 into quadrant 1 and approaches

y = 0. It crosses the y-axis at (0, 6) and goes through (1, 2). Function g (x) approaches y = 0 in quadrant 2 and increases into quadrant 1. It goes through (negative 1, 2) and crosses the y-axis at (0, 6).
Which function represents g(x), a reflection of f(x) = 6(one-third) Superscript x across the y-axis?



g(x) = −6(one-third) Superscript x


g(x) = −6(one-third) Superscript negative x


g(x) = 6(3)x


g(x) = 6(3)−x

Mathematics
2 answers:
Gala2k [10]3 years ago
8 0

Answer:

g(x)=6(3)^x

Step-by-step explanation:

We are given  that

f(x)=6(\frac{1}{3})^x

Function f decreases from quadrant  2 to quadrant 1 and approaches  y=0

It cut the y- axis at (0,6) and passing through the point (1,2).

Function g(x) approaches y=0 in quadrant 2 and increases into quadrant 1.

It passing through the point (-1,2) and cut the y-axis at point (0,6).

Reflection across y- axis:

Rule of transformation is given by

(x,y)\rightarrow (-x,y)

Using the rule then we get

g(x)=6(\frac{1}{3})^{-x}=6(3)^x

By using

x^{-a}=\frac{1}{x^a}

Substitute x=-1

g(-1)=6\times (\frac{1}{3})=2

Substitute x=0

g(0)=6

Therefore,g(x)=6(3)^x is true.

SVEN [57.7K]3 years ago
6 0

Answer:

Its A on edg

Step-by-step explanation:

follow my ifunny "dankmemehistory"

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Answer:

True

Step-by-step explanation:

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6 0
3 years ago
The rectangular prism shown has a volume of 10 cubic centimeters, = 1 cm3 Choose all the rectangular prisms that also have a vol
SOVA2 [1]

Answer:

B and C

Step-by-step explanation:

We are given a rectangular prism that consists of 10 cubes. Each cube = 1 cm³. The volume of rectangular prism given = 10cm³.

Let's find out which of the options has same volume (10cm³) as that of the given rectangular prism.

Option A has 15 cubes = 15 cm³ in volume

Option B has 10 cubes = 10 cm³ in volume

Option C has 10 cubes also = 10 cm³ in volume

Option D has 12 cubes = 12 cm³

The rectangular prisms that have the same volume (10 cm³) with the given rectangular prism are option B and C.

4 0
2 years ago
2a) Solve using substitution.
Tcecarenko [31]
First things first, write out your equation without the substitution.

2x+ 2y= 10

Now, put in the substitution.

2x+ 2• 2= 10

Combine like terms.

2x+ 4= 10

Now that your equation it simplified, you need to reverse the problem and put everything on the other side.

2x+ 4= 10
- 4 - 4
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2x=6
— —
2 2

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So the final answer is x=3

8 0
2 years ago
Rewrite, using the distributive property 7(3z + 12) = [?]z + [|]​
luda_lava [24]

Answer:

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Step-by-step explanation.

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Answer:

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Step-by-step explanation:

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