What is the simplified expression for 2(x-5)?<br> 2x<br> -10x<br> 2x-10<br> 2x+5

A 100-gallon fish tank fills at a rate of x gallons per minute. The tank has already been filling for 5 minutes. The function

kykrilka [37]

Answer:

- Stretching the parent function $f(x) =\frac{1}{x}$ vertically .

- Shifting the parent function $f(x) =\frac{1}{x}$ 5 units right.

Step-by-step explanation:

<h3>The complete exercise is: " A 100 gallon fish tank fills at a rate of x gallons per minute. The tank has already been filling for 5 minutes. The function $f(x) = \frac{100}{x -5}$ represents the remaining time in minutes needed to fill the tank. How is the graph of the parent function $f(x) =\frac{1}{x}$ transformed to create the graph of $f(x) = \frac{100}{x -5}$ ?"</h3><h3 />

Below are some transformations for a function :

1. If $f(x)+k$ , the function is shifted "k" units up.

2. If $f(x)-k$ , the function is shifted "k" units down.

3. If $f(x)-k$ , the function is shifted "k" units right.

4. If $f(x)+k$ , the function is shifted "k" units left.

5. If $bf(x)$ and $b>1$ the function is stretched vertically by a factor of "b".

6. If $bf(x)$ and $0$ the function is compressed vertically by a factor of "b".

The exercise gives the following parent function:

$f(x) =\frac{1}{x}$

And you know that the transformed function which represents the remaining time in minutes needed to fill the tank, is:

$f(x) = \frac{100}{x -5}$

Therefore, based on the transformations explained before you can identify that the graph of the transformed function is created by:

- Stretching the parent function $f(x) =\frac{1}{x}$ vertically.

- Shifting the parent function $f(x) =\frac{1}{x}$ 5 units right.

7 0

4 years ago

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Two drivers, Alison and Kevin, are participating in a drag race. Beginning from a standing start, they each proceed with aconsta

Maurinko [17]

Answer:

They arrive at the same time.

Step-by-step explanation:

If Alison spends 3 seconds to cover the last 1/4, it means that in 12 seconds will cover the four quarters because the acceleration is constant.

On the other hand Kevin spends 4 seconds to cover the last 1/3 of the distance, it means that in 12 seconds will cover three thrds.

Finally we can conclude that both of them spend the same time to cover the drag race.

5 0

3 years ago

There are 41 students in group 2

kaheart [24]

Answer:

What is your question..????

4 0

4 years ago

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find the volume of a cylinder if the volume of the cone is 120 cubic inches with the same base and height

8090 [49]

Answer:

Volume of cylinder = 360.010cubic inches

Step-by-step explanation:

Volume of a cone

V = πr^2h/3

V - volume

π - pie

r - radius

h - height

Given

V = 120 inches cubic

π - 3.142

120 = 3.142 * r^2 * h/3

120 = 3.142r^2h/3

120 = 3.142/3 * r^2h

120 = 1.0473r^2h

r^2h = 120 / 1.0473

= 114.580

Make h the subject of the formula

h = 114.580 / r^2

Gotten the value for h, substitute h into the formula for volume of a cylinder

Since the cone and the cylinder has the same base and height

V = πr^2h

h = 114.580/r^2

π - 3.142

V = 3.142 * r^2 * (114.580/r^2)

V = 3.142 * r^2 * 114.580/r^2

r^2 divides r^2

V = 3.142 * 114.580

V = 360.010 cubic inches

5 0

3 years ago

Use a letter to represent the unknown Twenty packs of fruit snacks come in a box. Each pack weighs 6 ounces. Students eat some.

777dan777 [17]

Answer:

The students have eaten 72 ounces of fruit snacks.

X = 72 ounces

Step-by-step explanation:

There are total 20 packs of fruit snacks

The weight of each pack is 6 ounces.

Let us first find the total weight of the snacks.

Total weight = 6*20

Total weight = 120 ounces

Let X represents the ounces of fruit snacks that students have eaten.

Let Y represents the 48 ounces of fruit snacks left in the box

Total weight = X + Y

120 = X + 48

X = 120 - 48

X = 72 ounces

Therefore, the students have eaten 72 ounces of fruit snacks.

8 0

4 years ago

Read 2 more answers

What is the simplified expression for 2(x-5)? 2x -10x 2x-10 2x+5