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3 years ago

Which of the following are the equations for the parent function and the transformed parent function represented by the graph?

Mathematics

1 answer:

boyakko [2]3 years ago

3 0

Answer:

Parent function: $y=\frac{1}{x}$

Transformed function: $y=-\frac{1}{x}$

Step-by-step explanation:

The given function is a rational function.

The parent rational function is $f(x)=\frac{1}{x}$ .

This is a hyperbola that is found in the first and third quadrant that is asymptotic to the axes.

The transformed function is a a hyperbola that is asymptotic to the axes and it is located in the second and fourth quadrant.

The point (1,1) on the parent function corresponds to (-1,1) on the transformed function.

The point (-1,-1) on the parent function corresponds to (1,-1) on the transformed function.

We can observe that the x-coordinates were negated in each case.

This the rule for a reflection in the y-axis.

Therefore the transformed function has equation $g(x)=-\frac{1}{x}$

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In the triangles, GK PN and HG 2MP.

dalvyx [7]

Answer:

G is smaller than P. Visually comparing G to P you are doing a rough comparison to a 90° (or right) angle. Angle G is a little bit tilted to the right making it just under 90°

6 0

3 years ago

Someone help need this done right now I’ll mark u brainliest

Ad libitum [116K]

Answer:

89 meters

Step-by-step explanation:

We know it's 9 + "the height of the triangle".

Fortunately, the height of the triangle (let's call it y) can be computed from:

y^2 + 18^2 = 82^2 (Pythagoras theorem).

y^2 = 82^2 - 18^2 = 6724 - 324 = 6400

y = 80 (or y = -80 but it doesn't make sense in geometry).

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2 years ago

Factor the expression by finding the GCF. 16m2 − 12m

ziro4ka [17]

Answer:

4m(4m-3)

Step-by-step explanation:

16m^2 − 12m

16 m^2 = 2*2*2*2*m*m

12m = 2*2*3*m

The greatest factor for 16m^2 and 12m is 2*2*m or 4m

Factor out 4m

16 m^2 = 2*2*2*2*m*m = 4m(2*2m)=4m(4m)

12m = 2*2*3*m = 4m(3)

Factoring out 4m

16m^2 − 12m

4m(4m-3)

3 0

3 years ago

Read 2 more answers

Two adjacent sides of a parallelogram are 6mm and 10mm respectively, and they form an angle measuring 60. Find the area of the p

Snowcat [4.5K]

Answer:

51.96 mm² approximately

Step-by-step explanation:

the first thing you should know is that the area of a rectangle is base*height sin of (

the included angle i.e

Arectangle= bh sin90° since all angles of a rectangle are equal then the included angle is 90°

Arectangle= bh sin90° since sin90 is 1 we simply use the equation bh because multiplying bh by one is bh. bearing this in mind , the area of the parallelogram can be calculated as:

Aparallelogram= bh sin of sin of the included angle

Aparallelogram= bh sin of sin of the included angle Aparallelogram=6mm*10mm sin 60°

Aparallelogram= bh sin of sin of the included angle Aparallelogram=6mm*10mm sin 60°Aparallelogram=60mm² * 0.866

Aparallelogram= bh sin of sin of the included angle Aparallelogram=6mm*10mm sin 60°Aparallelogram=60mm² * 0.866Aparallelogram=51.96 mm² approximately

4 0

2 years ago

1) At Joe's Restaurant, one-fourth of the

andrew11 [14]

Answer:

1/20 of the patrons at Joe's restaurant are expected to be male and out of town.

Step-by-step explanation:

1. Let's review all the information provided for solving this question:

Proportion of patrons that are male at Joe's restaurant = 1/4

Proportion of patrons that are from out of town at Joe's restaurant = 1/5

2. What proportion would you expect to be male and out of town?

For finding the proportion of the patrons, that would be male and that would be from out of town, we do this calculation:

Proportion of patrons that are male at Joe's restaurant * Proportion of patrons that are from out of town at Joe's restaurant

1/4 * 1/5 = 1/20

It means that 1/20 of the patrons at Joe's restaurant are expected to be male and out of town.

8 0

3 years ago