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satela [25.4K]
3 years ago
15

The cost y (in dollars) to rent a bicycle is proportional to the number x of hours that the bicycle is rented. It costs $24 to r

ent the bicycle for 3 hours. Write an equation that represents the cost to rent a bicycle for x hours.
Mathematics
1 answer:
Alex3 years ago
5 0

Answer:

192

Step-by-step explanation:

You have to divide the number the numbers and then and then is 8 and you multiply the 24 and yo get your answer.

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Select and use the most direct method to solve 2x(x + 1.5) = -1. Describe and justify the methods you used to solve the quadrati
miskamm [114]

Step-by-step explanation:

Given that,

A quadratic equation,

2x(x + 1.5) = -1

We need to solve the quadratic equation. Firstly we need to simplify the above equation to form it as ax^2+bx+c=0.

So,

2x^2+3x=-1\\\\2x^2+3x+1=0

Here, a = 2, b = 3 and c = 1

The roots of the given equation can be given by :

x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}

Putting all the values we get :

x=\dfrac{-b\pm \sqrt{b^2+4ac} }{2a}, \dfrac{-b\pm \sqrt{b^2-4ac} }{2a}\\\\x=\dfrac{-3\pm \sqrt{3^2+4(2)(1)} }{2(2)}, \dfrac{-3\pm \sqrt{3^2-4(2)(1)} }{2(2)}\\\\x=\dfrac{-3+1}{4}, \dfrac{-3-1}{4}\\\\x=-\dfrac{1}{2}, -1

So, the roots of the given equation is -1/2 and -1.

5 0
3 years ago
What is anime?<br><br><br> i am confused
satela [25.4K]
It’s a Japanese cartoon style
5 0
3 years ago
Please help! Thank you!
Aloiza [94]

Answer:

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4 0
3 years ago
How can you tell whether the parabola had a vertical or horizontal shift?
Schach [20]
If the x is squared, the parabola is vertical (opens up or down). If the y is squared, it is horizontal (opens left or right). If a is positive, the parabola opens up or to the right. If it is negative, it opens down or to the left.
3 0
3 years ago
The perimeter of a rectangular park is 300 feet. The length of the park is 50 feet longer than the width.
bixtya [17]

Answer:

85 feet

Step-by-step explanation:

P=2L+2W where L is the length and W is the width. If the length is 50 feet longer than the width, we can write the expression L=50+W. Substituting into P=2L+2W we get P=2(50+W)+2W=100+2W+2W=100+4W. Since P=300, we can say 300=100+4W. Subtracting 100 from each side we get 200=4W. Dividing each side by 4 gives 50=W. Substituting this into L=50+W gives L=50+35=85. The length is 85 feet.

3 0
3 years ago
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