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oksano4ka [1.4K]
3 years ago
5

Which linear function shows a direct variation?

Mathematics
2 answers:
Alexandra [31]3 years ago
8 0

Answer:

d

Step-by-step explanation:

graph d

Vinvika [58]3 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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An ice chest contains cans of apple juice, cans of grape juice, cans of orange juice, and cans of mango juice. Suppose that you
mel-nik [20]

Answer:

4.9%

Step-by-step explanation:

This question is incomplete. However; it can be found on search engines. The complete question is  as follows :

An ice chest contains cans of six apple juice, eight cans of grape juice, four cans of orange juice, and two cans of mango juice. Suppose that you reach into the container and randomly select three cans in succession. Find the probability of selecting three cans of grape juice.

Solution :

In an ice chest there are different cans of juice. Among them

Number of cans of apple juice = 6

Number of cans of grape juice = 8

Number of cans of orange juice = 4

Number of cans of mango juice = 2

Total number of cans of juice = 6 + 8 + 4 + 2 = 20

Let A, B and C are the event of selecting of three cans.  The events A, B and C are dependent.

Probability of selecting three cans of juice

P = \frac{\text{number of grape cans}}{\text {total number of cans}}

P (A) = \frac{8}{20}

P (B) = \frac{7}{19}

P (B) = \frac{6}{18}

P = \frac{8}{20} × \frac{7}{19} × \frac{6}{18}

  = \frac{336}{6840}

  = 0.049 or 4.9%

Probability of selecting three cans of grape juice is 4.9%

5 0
3 years ago
I need some help, please help. I have been stuck on this for days.
dlinn [17]

Answer:

Angle CDE equals 155 degrees :D

Step-by-step explanation:

parallel lines

since the left angle is 57, angle BAE is also 57

180-57=123

right angle=90

115+90+123+57=385

540-385=155

thus, angle CDE equals 155 degrees

5 0
2 years ago
Read 2 more answers
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