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joja [24]
3 years ago
14

What is the direction of a line with the slope 3/-2

Mathematics
1 answer:
adelina 88 [10]3 years ago
3 0
3\div-2= \frac{-3}{2}3÷−2=​2​​−3​​ direction of a line with the slope
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A taxi charges a base fee plus $0.75/km.
Naily [24]

a) The rate of change in this situation is 0.75 dollars/km

b) The equation for the cost of hiring a taxi in terms of length of the

trip is y = 0.75 x + b

c) The initial value represents in this situation is $1.2

Step-by-step explanation:

The given is:

  • A taxi charges a base fee plus $0.75/km.
  • A 10-km trip costs $8.70

∵ A rate of change is a rate that describes how one quantity

  changes in relation to another quantity

∵ The unit cost of a taxi is 0.75 dollars for each 1 kilometer

∴ The rate of change = 0.75 dollars/km

a) The rate of change in this situation is 0.75 dollars/km

Assume that the cost of hiring a taxi is $y for length of a trip x km

and a base fee of $b

∵ The length of the trip = x km

∵ The cost per km = $0.75

∵ The base fee = $b

∵ The cost of hiring a taxi = $y

- Write an equation for the the cost of hiring a taxi

∴ y = 0.75 x + b

b) The equation for the cost of hiring a taxi in terms of length

of the trip is y = 0.75 x + b

∵ The length of the trip is 10 km

∴ x = 10

∵ The cost of the hiring a taxi is $8.70

∴ y = 8.70

- Substitute these values in the equation of part (b)

∵ y = 0.75 x + b

∴ 8.70 = 0.75(10) + b

∴ 8.70 = 7.5 + b

- Subtract 7.5 from both sides

∴ 1.2 = b

∵ b is the base fee

∴ b is the initial value

∴ The initial value = $1.2

c) The initial value represents in this situation is $1.2

Learn more:

You can learn more about word problems in brainly.com/question/3950386

#LearnwithBrainly

3 0
3 years ago
Read 2 more answers
Richard can make 8 dough balls in two hours. If the amount of time is directly proportional to the number of dough balls, how ma
Sergio039 [100]

Answer:

4.5 hours

Step-by-step explanation:

8:2h = 18:x

8x = 18×2h

x = 36h/8

x = 4.5

hope this helps :)

8 0
3 years ago
Who invited math?? Please answer!!!!!
maksim [4K]

Answer:

Ancient Greeks

Beginning in the 6th century BC with the Pythagoreans, with Greek mathematics the Ancient Greeks began a systematic study of mathematics as a subject in its own right. Around 300 BC, Euclid introduced the axiomatic method still used in mathematics today, consisting of definition, axiom, theorem, and proof.

Step-by-step explanation:

6 0
3 years ago
Below are a picture of parallel railroad tracks intersecting the parallel edges of a road.
asambeis [7]
X= 130 degrees since 180 is the total minus 50 from above
7 0
3 years ago
1/7 rounded to the nearest thousand​
Semmy [17]
1/7 = 0.14285714
rounded to the nearest thousandth, it would be 0.143
7 0
3 years ago
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