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Vladimir [108]
3 years ago
15

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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Find the width (w) of the rectangle if the area of the rectangle is x2 + 18x + 45.
poizon [28]

I'm not sure if you're already given the length of the rectangle, but the width is either (x + 3) or (x + 15).

We can find this by factoring x² + 18x + 45, as the area of a rectangle is found by multiplying the length and width together, so if we factor this expression we can find what was multiplied together.

Factoring x² + 18x + 45, we get (x + 3)(x + 15), which then tells us the two sides of the rectangle. Again, I'm not sure if you were already told the length, but if you were then the width is the other side. For example, if you were told the length was (x + 3), then the width would be (x + 15).

I hope this helps!

5 0
3 years ago
Please help so i can pass
lozanna [386]

Answer:

5.385 = 5.4

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
The monthly cost (in dollars) of water use is a linear function of the amount of water used (in hundreds of cubic feet, hcf). th
adelina 88 [10]
(18,38.98),(29,58.23)
slope = (58.23 - 38.98) / (29 - 18) = 19.25 / 11 = 1.75

y = mx + b
slope(m) = 1.75
use either of ur points...(18,38.98)...x = 18 and y = 38.98
now sub and find b, the y int
38.98 = 1.75(18) + b
38.98 = 31.5 + b
38.98 - 31.5 = b
7.48 = b
so ur equation is : y = 1.75x + 7.48...where x is the amount of water used and y is the monthly cost

so the cost for 23 hcf.....sub in 23 for x
y = 1.75x + 7.48
y = 1.75(23) + 7.48
y = 40.25 + 7.48
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7 0
3 years ago
Triangle LMN has a vertical height of 2 units and a horizontal length of 3 units. Triangle NOP has a vertical height of 4 units
Ivanshal [37]

Answer:

32

Step-by-step explanation:

7 0
2 years ago
Adrian ran from his house to the park at a speed of 5 meters per second. He ran back from the park to his house at a speed of 6
denpristay [2]

Answer:time taken to run from his house to the park is 12 minutes

Step-by-step explanation:

Let x represent the distance between his house and the park.

The speed at which Adrian ran from his house to the park is 5 meters per second.

Distance = speed × time

Time = distance/speed

Therefore, time taken to run from his house to the park would be

Time = x/5

The speed at which he ran back from the park to his house is 6 meters per second.

Time taken to run back from the park to his house would be

Time = x/6

The total time taken to run the whole journey was 22 minutes. Converting to seconds, it becomes 22× 60 = 1320 seconds. Therefore,

x/5 + x/6 = 1320

Multiplying through by 30, it becomes

6x + 5x = 39600

11x = 39600

x = 39600/11 = 3600 meters

Therefore, time taken to run from his house to the park would be

x/5 = 3600/5 = 720 seconds

Converting to minutes, it becomes

720/60 = 12 minutes

7 0
3 years ago
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