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Ludmilka [50]
3 years ago
7

The amount Troy charges to mow a lawn is proportional to the time it takes him to mow the lawn. Troy charges $30 to mow a lawn t

hat took him 1.5 hours to mow. Which equation models the amount in D dollars Troy charges when it takes him H hours to mow a lawn.
Mathematics
1 answer:
Inessa05 [86]3 years ago
3 0

Answer:

D = 20H

Step-by-step explanation:

The amount Troy (D, in dollars) charges to mow a lawn is proportional to the time (H, in hours) it takes him to mow the lawn.

Hence, we can write D = kH ......... (1), where k is a constant.

Now, given that Troy charges $30 to mow a lawn that took him 1.5 hours to mow.

So, from equation (1) we get  

30 = 1.5k

⇒ k = 20.

Therefore, equation (1) becomes D = 20H (Answer)

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Select two choices that are true about the function f(x)=23x+14/x
WINSTONCH [101]

Answer:

There is an asymptote at x = 0

There is an asymptote at y = 23

Step-by-step explanation:

Given the function:

(23x+14)/x

Vertical asymptote is gotten by equating the denominator to zero

Since the denominator is x, hence the vertical asymptote is at x = 0. This shows that there is an asymptote at x = 0

Also for the horizontal asymptote, we will take the ratio of the coefficient of the variables in the numerator and denominator

Coefficient of  x at the numerator = 23

Coefficient of x at the denominator = 1

Ratio = 23/1 = 23

This means that there is an asymptote at y = 23

8 0
3 years ago
The​ world's largest university​ (by enrollment) is University​ A, followed by University B. If the enrollment in University A i
Sav [38]
Let x be the number of people at University B

x + (x+3.5) = 9.5
2x +3.5 = 9.5
2x = 6
x = 3 million students at University B

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8 0
3 years ago
Simplify the following 2(×+8k)+2k=​
omeli [17]

Answer:

2x + 18k = X= -9k

Step-by-step explanation:

you have to solve the rational equation by combining expressions and isolating the variable x.

5 0
3 years ago
What does the equation inverse of the function found in part b represent in the contract of the problem ? explain your answer .
gavmur [86]

Answer:

f^{-1}(x) =\frac{x}{3} - 5

The inverse function is to calculate the number of rides; given the amount paid

Step-by-step explanation:

Given

Admission = 15

Ride = 3 per ride

Required

Explain the inverse function

First, we calculate the function

Let x represents the number of rides

So:

f(x) = Admission + Ride * x

f(x) = 15 + 3 * x

f(x) = 15 + 3x

For the inverse function, we have:

y = 15 + 3x

Swap x and y

x = 15 + 3y

Make 3y the subject

3y = x - 15

Make y the subject

y =\frac{x}{3} - 5

Replace y with the inverse function

f^{-1}(x) =\frac{x}{3} - 5

The above is to calculate the number of rides; given the amount paid

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3 years ago
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Pani-rosa [81]

Answer:

length of new garden: 3x or 3y times 2

width of new garden: 3y or 3x/2

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x= original length of garden

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if she triples it she needs to multiply the old measurements by 3

The area of  her new garden is the new measurements multiplied by one another

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