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3 years ago

What does it mean when you need to graph a piecewise function where f(x) =0 if x is not an integer

Mathematics

1 answer:

ruslelena [56]3 years ago

7 0

It means that the graph is discontinuous. It consists of a line that looks like the x axis, but at every integer value of x there will be a hole. The piecewise function will probably contain f(x)=1 or some other function for x equal to an integer. This other function will also be discontinuous because it will consist of isolated points separated by gaps.

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Jonathan increased his rate of walking by 25% at halfway to his destination and therefore arrived half an hour earlier than was

Flura [38]

Answer:

1.67 hours

Step-by-step explanation:

Let the original speed of Jonathan = $x$ units/hr

Let the original time taken by Jonathan = $y$ hours

Let the distance = $D$ units

Formula for distance is given as:

$Distance = Speed \times Time$

Given that half the distance is covered by original speed.

$\Rightarrow \dfrac{D}{2} = \dfrac{x}{2}\times \dfrac{y}{2}\\\Rightarrow D = \dfrac{xy}{2} ..... (1)$

Half the distance is covered by increasing the rate by 25%.

i.e. increased speed:

$\dfrac{5}{4}x\ units/hr$

Hence, Time taken:

$\dfrac{y}{2}-\dfrac{1}{2}$

Distance traveled is half of the total distance:

$\Rightarrow \dfrac{D}{2} = \dfrac{5x}{4}\times (\dfrac{y}{2}-\dfrac{1}{2})\\\Rightarrow D = \dfrac{5x}{2}\times (\dfrac{y}{2}-\dfrac{1}{2}) .... (2)$

Dividing (1) by (2):

$\dfrac{xy\times 4}{2\times 5x(y-1)} = 1\\\Rightarrow 2y=5y-5\\\Rightarrow 3y=5\\\Rightarrow y =1.67\ hours$

5 0

3 years ago

I need help on this

koban [17]

Answer:

TUS

2. 42 + 62= 104

then ,

180-104= 76

4 0

3 years ago

4/16 Being Reduced Is ?

mamaluj [8]

The answer is 1/4 because all you have to really do is simplify

4 0

3 years ago

Choose the correct answer.

Morgarella [4.7K]

Answer: Oh the answer is 30.00

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

What are the differences between 0.08 and 0.8

Anon25 [30]

0.8 is greater than 0.08, the reason for that is that 0.8 is equal to 8/10=80/100 and 0.08 is equal to 8/100. As a percentage, 0.8 would be 80% and 0.08 would be equal to 8%.

5 0

4 years ago