Answer:
Step-by-step explanation:
First digit 2,3,4,5 = 4 different digits.
Second digit 2,3,4,5 = 4 different digits.
Third digit = 1,2,3,6,7,9 = 6 different digits.
Total number of possibilities = 4*4*6 = 96
Answers:
- The direct variation equation is y = 5x
- If x = 4, then y = 20
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Explanation:
Let's say that the letter k replaces the green box
We have the equation y = kx
Plug in (x,y) = (7,35) to get the equation 35 = k*7
Dividing both sides by 7 leads to k = 5
Therefore, the direct variation equation is y = 5x
We can check this by plugging in x = 7
y = 5x
y = 5*7
y = 35
So x = 7 leads to y = 35 as expected.
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Do the same for x = 4
y = 5x
y = 5*4
y = 20 when x = 4
Side note: direct variation equations always go through the origin.
The equation of the line that is parallel to the given line, through the given point is y = -5x - 7
Given equation,
y = -5x + 1
Slope = m
= -5
For two lines to be parallel, slope is equal.
Therefore, m = -5 for another line.
Let the equation of the line be y = mx + c
This line passes through A(-2,3)
Therefore, 3 = -5(-2) + c
3 = 10 + c
c = 3 - 10
= -7
Hence, equation of line is y = -5x - 7.
To learn more about equation of the line here:
brainly.com/question/21511618
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