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2 years ago

The picture is my question.

Mathematics

2 answers:

Dominik [7]2 years ago

5 0

The second one because domain refers to x, and since at (-3,-4) the point is hollow, the sign should be < without the line under it

Soloha48 [4]2 years ago

5 0

The second option should be the correct answer.

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The function f(x) = One-sixth (two-fifths) Superscript x is reflected across the y-axis to create the function g(x). Which order

Gekata [30.6K]

The ordered pair (-3 , $\frac{4}{375}$ ) is on g(x) ⇒ 1st answer

Step-by-step explanation:

Let us revise the reflection across the axes

If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x) (change the sign of y)
If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x) (change the sign of x)

∵ $f(x)=\frac{1}{6}(\frac{2}{5})^{x}$

∵ f(x) is reflected across the y-axis to create the function g(x)

- Change the sign of x

∴ $g(x)=\frac{1}{6}(\frac{2}{5})^{-x}$

To find the point that lies on g(x) substitute x in g(x) by the x-coordinate of the point if the answer equal to the y-coordinate of the point, then the point lies on it if not then the point does not lie on it

∵ The coordinates of the point are (-3 , $\frac{4}{375}$ )

∴ x = -3 and y = $\frac{4}{375}$

- Substitute x by -3 in g(x)

∵ $g(x)=\frac{1}{6}(\frac{2}{5})^{-x}$

∴ $g(x)=\frac{1}{6}(\frac{2}{5})^{-(-3)}$

∴ $g(x)=\frac{1}{6}(\frac{2}{5})^{3}$

∵ $(\frac{2}{5})^{3}=\frac{2^{3}}{5^{3}}=\frac{8}{125}$

∴ $g(x)=\frac{1}{6}(\frac{8}{125})$

∴ $g(x)=\frac{8}{750}$

- Divide up and down by 2

∴ $g(x)=\frac{4}{375}$

∵ The value of g(x) equal to the y-coordinate of the point

∴ The point (-3 , $\frac{4}{375}$ ) lies on g(x)

The ordered pair (-3 , $\frac{4}{375}$ ) is on g(x)

Learn more:

You can learn more about the reflection in brainly.com/question/5017530

#LearnwithBrainly

9 0

2 years ago

Read 2 more answers

Simplidy y square root 6 over 6 square root y

Contact [7]

Answer:

Step-by-step explanation:

You can multiply the fraction by 6 and then you are able to cancel out and find the simplification

4 0

2 years ago

Sam had some money in his pocket, and he found another $6.50 in his dresser drawer. He then had a total of $19.75. Let p represe

Bingel [31]

P=19.75−6.50
P=13.25
......'

7 0

2 years ago

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UURGENTTT PLLZ HELP WILL MARK AS BRANLIEST!!!

lapo4ka [179]

Answer:

Surface area of the wood to be painted = ( $r^{2}$ + r $\sqrt{h^{2} + r^{2} }$ ) $\pi$ - 16 $\pi$

Step-by-step explanation:

Surface area of a cone is given as the sum of the surface area and the area of its base.

i.e Surface area = $\pi$ $r^{2}$ + $\pi$ Lr

where: L is the length of its slant height and r is the radius.

Applying the Pythagoras theorem,

L = $\sqrt{h^{2} + r^{2} }$

Thus,

Surface area = $\pi$ r (r + $\sqrt{h^{2} + r^{2} }$ )

The given cylindrical hole has a radius of 4 cm and depth 2 cm.

The area of one of its circular surfaces = $\pi$ $r^{2}$

= $\pi$ × $(4)^{2}$

= 16 $\pi$ $cm^{2}$

The surface area of the piece of wood to be painted = surface area of cone - area of cylindrical circular surface.

Surface area of the wood to be painted = $\pi$ r (r + $\sqrt{h^{2} + r^{2} }$ ) - 16 $\pi$

7 0

2 years ago

3x+7y=-6<br> 7x+3y=26<br> solve by elimenation

Artemon [7]

3x+7y=-6 -7x+3y=26 -4x+4y=-32 +4x on both sides and you end up with 4y=-32+4x now divide both sides by 4 and you get y=-8+x then to incorporate that in one of the problems 3x+7(-8+x)=-6 do the distributive property with the 7 into the () and you get 3x-56+7x=-6 now add all common variables and get 10x-56=-6 now add 56 to both sides and you get 10x=50 now divide by 10 on both side and you get x=5 now for getting y to equal a number instead of an equation 3(5)+7y=-6 15+7y=-6 subtract 15 on both sides to get 7y=-21 not divide by 7 on both sides to get y=-3 your answers are y=-3 and x=5

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2 years ago