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Marysya12 [62]
3 years ago
13

Which equation represents a proportional relationship between the x and y values?

Mathematics
1 answer:
Jet001 [13]3 years ago
8 0

Answer:

Step-by-step explanation:

A proportional relationship is depicted by the changes in one variable with respect to the other.

Let us test the values

Assume x = 2, 3 and 4 for all options

A) y + 4 = 3x,

y= 3x - 4

If x = 2, y = 2

if x = 3, y = 5

If x = 4, y = 8

B) y − 3x = 0

y = 3x

If x = 2, y = 6

If x= 3, y = 9

If x = 4 , y = 12

C) y + 5x = 6

y = 6-5x

If x = 2, y = -4

If x = 3, y = -9

If x = 4, y = -14

D) y + 1/4x = 2

y = 2 - 1/4x

If x = 2, y = 15/8

If x = 3, y = 23/12

If x = 4, y = 31/16

equations B and C represents a proportional relationship between the x and y values. A change in x always results to a corresponding and proportional change in y

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Answer:

<h2>3/5</h2>

Step-by-step explanation:

If Jennifer has 25 books on her bookshelf and she has 10 fiction books, the number of non-fiction books she has will be 25-10 = 15 non- fiction books.

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome of event/total outcome.

Since we want the expression that represents the probability that the book she selects will be a non-fiction book, our expected outcome will be 15(the total non fiction she selected)

The total outcome will be the total number of books i.e 25.

Probability that she elects non fiction book = 15/25

= 3/5

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3 years ago
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Answer:

the answer is 55

Step-by-step explanation:

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PLEASE HELP ASAP SLOPES OF PARALLEL AND PERPENDICULAR LINES
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1) Parallel lines have equal slopes.

We need to find the slope of the given line by solving for y.

5x - 15y = 30

-15y = -5x + 30

y = (1/3)x - 2

The slope of the given line is 1/3, so the slope of the parallel line is also 1/3.

2) Line 1 has slope 2/3.

Line 2 has slope 2/3.

3) Line 1 is a vertical line through x = 2. Line 2 is a horizontal line through y = -5. The lines are perpendicular.

4) The given line can is solved for y, so we can see its slope is -5/2. The slopes of perpendicular lines are negative reciprocals. The perpendicular line has slope 2/5. We have point (5, 0) which is (x1, y1) in the slope-point formula.

y - 0 = (2/5)(x - 5)

y = 2/5 x - 2

5) The given equation has slope -3. To find the negative reciprocal, write the slope as a fraction, flip it, and change the sign.

Slope of perpendicular line is 1/3.

3 0
3 years ago
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