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geniusboy [140]
3 years ago
12

Julia and Kajal make deliveries on their bicycles. For each delivery, they need some time to get ready, and then they each ride

at a constant speed.
Julia takes 40 minutes to make a delivery 5 kilometers away. She uses 10 minutes of the delivery time to get ready

The time it takes Kajal to make a delivery (in minutes) as a function of the distance of the delivery (in kilometers) is given by the following function:

T(d)=15+6d

Who takes more time to get ready?

Who rides faster?
Mathematics
1 answer:
UNO [17]3 years ago
5 0

For Julia’s case, we determine first he time it takes her to ride or cover every kilometre knowing that 10 minutes of the given 40 minutes is used for the preparation.

 

<span>    r (Julia) = (40 – 10 min) / 5 km = 6 minutes per kilometre</span>

 

<span>A.    </span>The time it takes Julia to get ready is only 10 minutes while from the given equation, the time it takes Kajal to get ready is 15 minutes. Hence, the answer is Kajal.

<span>B.    </span><span>From the calculation above, it takes Julia 6 minutes to cover a kilometre. From the equation, it is also given that Kajal takes 6 minutes to cover every kilometre. Hence, the answer is Neither as they travel at the same rate. </span>

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Below is the graph of y= x.<br> Translate it to make it the graph of y=<br> x-1 + 4.
Oduvanchick [21]
  • First, to shift the graph of y=x 1 unit to the right, so y=x-1
  • Second, to shift the graph of y=x-1 4 units to the left, so y=x-1+4

<h2>Explanation:</h2>

To translate the graph of a function is part of Rigid Transformations because the basic shape of the graph is unchanged

Let \ c \ be \ a \ positive \ real \ number. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:

\bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ h(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ h(x)=f(x)-c

\bullet \ Horizontal \ shift \ c \ units \ to \ the \ right \ \mathbf{right}: \\ h(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ left \ \mathbf{left}: \\ h(x)=f(x+c)

In this case, we have the graph of:

y=x

And we need to translate it to make it the graph of:

y=x-1+4

According to our rules we need:

  • First, to shift the graph of y=x 1 unit to the right, so y=x-1
  • Second, to shift the graph of y=x-1 4 units to the left, so y=x-1+4

But y=x-1+4 is the same as y=x+3, so the previous steps can be simplified as:

  • Shifting the graph of y=x 3 unit to the left.

Below are shown those graphs:

  • The blue one is y=x
  • The red one is y=x-1+4

<h2>Learn more:</h2>

Shifting graphs: brainly.com/question/10010217

#LearnWithBrainly

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Answer:

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Length of the first piece = x

Length of the second piece = 2x

Length of the third piece = 3x

Total length is 36 inches:

x + 2x + 3x = 36

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Therefore, the lengths are:

First piece = 6 inches

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Third piece = 18 inches

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Next: f(x) = -x²

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Narrowest: 3x²

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