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oksano4ka [1.4K]
4 years ago
5

Which linear function shows a direct variation?

Mathematics
2 answers:
Alexandra [31]4 years ago
8 0

Answer:

d

Step-by-step explanation:

graph d

Vinvika [58]4 years ago
7 0

Answer:

D. Graph D

Step-by-step explanation:

We know that, 'Direct Variation or Directly Proportional' is relationship between two variables where one is a constant multiple of the other.

That is, if one variable changes, the other variable also changes in proportion to the first variable.

The general form of 'Direct Variation' is y = kx, where k is a constant i.e. it does not have a y-intercept.

Now, according to our options, we see that the figures of A,B,C are the graphs of the straight lines given by y =-2x+2 , y=2x+2, y=-2x+2 respectively.

Each of these three equations have y-intercept, therefore cannot be the equations of a direct proportion.

Now, in option D, the figure is the graph of straight line y = -x and has no y-intercept.

Hence, the linear function in Graph D shows a direct proportion.

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mamaluj [8]
The answer is A.) \frac{-1}{10}x+15 

To find this answer the first thing we need to do is look at the equation of a straight line: y=mx+b

What I did first was look at b. b represents the y-intercept. By looking at the graph we can tell that the line crosses the y-axis at (0,15), so the y- intercept is 15. So our answer should at least have b=15. Using this we can go ahead and eliminate answers B & C 

Next we look at the slope (m). One way you can figure out slope is using the rise over run method. Since this line has a negative slope our rise should be a negative number. So, the only answer that should be left is A.) \frac{-1}{10}x+15 
7 0
3 years ago
Read 2 more answers
I need help on this
adoni [48]
I am pretty sure the answer is,

B
4 0
3 years ago
Write an equation for the nth term of the geometric sequence below: (Equation NEEDS to be written as gn=7(5)^(n-1) or as gn=2/3(
andriy [413]

Answer:

You didn't give the geometric sequence in question.

But to find the nth term of a geometric sequence, use the formula

Sn = ar^(n - 1)

Where a is the first term of the sequence

r is the common ratio of the sequence.

Example: To find the nth term of the geometric sequence

1/2, 1/4, 1/8, 1/16, ...

Here, a = 1/2

r = 1/4 ÷ 1/2 = 1/8 ÷ 1/4 = 1/16 ÷ 1/8 = 1/2.

Sn = (1/2)(1/2)^( n - 1)

Apply this method to the sequence you were given, it will be helpful.

8 0
3 years ago
See photo PLEASE HELP:(
slega [8]

Answer:

1/5

Step-by-step explanation:

<u>silk butterfly =    4cm=1 </u>  (this is the reduce form )

butterfly            20cm=5            

                                                           Also you will just divide this by 4

8 0
4 years ago
!!!! PLEASEEE HELP ME, IDK WHAT TO DO PLEASE !!!!
Helga [31]

Answer:

  The first question is A.

  The second question is C.

   The thid question is B., I think i'm not quit sure sorry

4 0
3 years ago
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