<h3>
Answer: y = -2x+8</h3>
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Explanation:
Parallel lines have equal slopes, but different y intercepts. The given line y = -2x+4 has a slope of -2. Any line parallel to this will also have a slope of -2.
So m = -2
The unknown line goes through the point (x,y) = (2,4). Which means x = 2 and y = 4 pair up together.
Plug m = -2, x = 2, y = 4 into y = mx+b and solve for b
y = mx+b
4 = -2(2)+b
4 = -4+b
4+4 = b ... adding 4 to both sides
8 = b
b = 8
Since m = -2 and b = 8, we go from y = mx+b to y = -2x+8
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Side note: the y intercept of the original equation is 4 while the y intercept of the new equation is 8
Answer:
3/5
Step-by-step explanation:
19/20 - 7/20
Since the denominator is the same we can subtract the numerators
12/20
Divide the top and bottom by 4 to simplify
12/4 =3
20/4 =5
The fraction becomes 3/5
Answer:
Third one
Step-by-step explanation:
<u>Two </u>things to solve 3x+9 <= 15
3x <= 6
<u> x <= 2</u>
<u> and</u> - (3x+ 9) <= 15
- 3x - 9 <= 15
- 3x <= 24
3x >= -24
<u> x > = - 8 </u>
<u />
<u />
<u>s o -8 <= x <= 2 </u>
Answer:
Step-by-step explanation:
What is the question?
Answer:
The states of nature refer to future events, not under the control of the decision maker, which may occur. States of nature should be defined so that they are mutually exclusive and collectively exhaustive.