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2 years ago

Horizontally compress the exponential function f(x)=2^x by a factor of 3

Mathematics

1 answer:

MakcuM [25]2 years ago

7 0

The horizontally compress the exponential function f(x)=2^x by a factor of 3 is f(3x)=2^3x

When we compress a function y=f(x) by a scale factor of 'k', where k >1, then the function after compression will become :

y=f(x), where k>1

We have given the Exponential function.

<h3>What is the scale factor?</h3>

The scale factor is a measure for similar figures, that look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii. The scale factor states the scale by which a figure is bigger or smaller than the original figure.

The scale factor of the compression (k): 5

Then after horizontal compression, the exponential function will become

f(3x)=2^3x

To learn more about the exponential function visit:

brainly.com/question/12940982

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3 years ago

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Function f(x) represents the population of bacteria x hours after 9 a.m. What does f(2)-f(1) represent?

Kitty [74]

x = number of hours after 9 am (eg: x = 1 means 1 hr after 9 am, so 10 am)

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3 years ago

If a pound of bread is worth 1.75 and a orange is worth 0.50 per pound. How many pounds of oranges have an equivalent cost to 3

Alexus [3.1K]

Answer:

C. 10.5 pounds

Step-by-step explanation:

The worth of 3 loaves of bread is 3 times that of one loaf:

3 × 1.75 = 5.25

You want the number of pounds of oranges (p) at 0.50 per pound that has this same worth:

0.50p = 5.25

p = 5.25/0.50 = 10.50

10.5 pounds of oranges have an equivalent cost to 3 loaves of bread.

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3 years ago

Anyone know this answer this pleasee

HACTEHA [7]

Answer:

x=136°

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6 0

3 years ago

corinne is taking a train into the city. The train travels at a rate of 45 miles per hour. which quantity depends on the other?

lana66690 [7]

<u>Complete Question:</u>

Corinne is taking a train into the city. The train travels at a rate of 45 miles per hour. Which quantity depends on the other?

A. The distance traveled depends on the number of hours traveled.

B. The number of hours traveled depends on the speed of the train.

C. The speed of the train depends on the distance traveled.

D. The speed of the train depends on the number of hours traveled.

<u>Answer:</u>

Corinne is taking a train into the city. The train travels at a rate of 45 miles per hour. The distance traveled depends on the number of hours traveled

<u>Step-by-step explanation:</u>

As we know the velocity can de defined as the rate of change of position of objects in a particular time. The formula is given by,

$\text {velocity}=\frac{\text {distance}}{\text {time}}$

Here, in the question, rate of speed of train is given as 45 miles per hour. if we keep the velocity as constant one, then distance is directly proportionate to the travelled time

$\text {distance}=\text {velocity} \times \text {time}$

If 'v' is constant,

$\text {distance} \propto \text {time}$

By this we can conclude that, the distance travelled by the train depends on the time taken to travel to it. Hence option A would be the correct one.

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3 years ago