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Inga [223]
2 years ago
12

the value y varies directly with x. which function represents the relationship between x and y if y=20/3 when x=30?

Mathematics
1 answer:
joja [24]2 years ago
6 0
If y varies directly with x, means that they can be modeled by a linear equation, lets choose a line with 0 y intercept, that is:
y = mx + b
y = mx
where m is the slope of the line, now we plug in the data we have:
y = mx
20/3 = m(30)
solving for m:
m = (20/3)(1/30)
m = 20/90
m = 2/9
so the line equation, or function modeling the y and x relationship is:
y = (2/9)x
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HELPPP!!! WILL MARK BRAINLIEST!!!
LenKa [72]

Answer:

Horizontal Asymptote:    y=2

Vertical Asymptote: x=3

Step-by-step explanation:

One way: Look at graph

Look at for a horizontal or vertical line that both lines don't touch.

Second Way:

When you look for vertical asymptotes, you set the denominator equal to zero and solve.

For example, the second question has a denominator of x-3.

x-3=0

x=3 (This is the vertical asymptote)

When you look for horizontal asymptote, you do long division.

For example, the first question f(x)=\frac{2x}{x-3}

The answer will be 2. 2 is the quotient. You only want quotient not remainder.

y=2.

6 0
2 years ago
How many ways can first, second, and third place be awarded in a race of 20 people?
Volgvan
That would be 20 x 19 x 18 which equals 6840. 
After first place is chosen, 19 spots left and so on.
The answer is 6840 ways.
3 0
3 years ago
The scores on a test are normally distributed with a mean of 110 and a standard deviation of 22. What is the score that is 3 sta
Alborosie

Answer:

Step-by-step explanation:

If the mean is 110, and the standard devaition is 22,

1 standard dev. below the mean is 110-22

2  standard dev below the mean is 110-22-22

3 standard dev below the mean is 110-22-22-22

Hope that helps!

7 0
3 years ago
Kevin had six nickels and 4 dimes in his pocket. If he took out one coin and then a second coin without replacing the first coin
Umnica [9.8K]
Alright so A is 6/10 * 5/9 = 1/3
B is 4/10 * 7/9 = 2/15
C is 6/10 * 4/9 = 4/15

I hope this helps


4 0
3 years ago
An airline weighed the carry-on luggage of all its
nikklg [1K]

Using the graph, it is found that 976 passengers had carry-on luggage that weighed less than 20 lb.

<h3>Graph:</h3>

The graph is not given in this problem, but an internet search indicates that the information it contains is as follows:

  • 120 passengers carry luggage of 4 lb or less.
  • 222 passengers carry luggage between 5 lb and 9 lb.
  • 378 passengers carry luggage between 10 lb and 14 lb.
  • 256 passengers carry luggage between 15 lb and 19 lb.
  • 90 passengers carry luggage between 20 lb and 24 lb.
  • 40 passengers carry luggage between 25 lb or more.

Hence, the number of passengers with luggage below 20 lb is:

120 + 222 + 378 + 256 = 976

976 passengers had carry-on luggage that weighed less than 20 lb.

A similar problem, also involving the use of graph, is given at brainly.com/question/25836450

7 0
2 years ago
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