Answer:
2y = x - 7
Step-by-step explanation:
The general equation of the line is;
y = mx + b
where m is the slope and b is the y-intercept
To get the slope, we use the slope formula
m = (y2-y1)/(x2-x1)
(x1, y1) = (3,-2)
(x2,y2) = (1,-3)
m = (-3+2)/(1-3) = -1/-2 = 1/2
So we have the equation as;
y = x/2 + b
Multiply through by 2
2y = x + 2b
To get the y-intercept value, we substitute any of the points
Let us use the first point
While 3 will go for x , -2 will go for y; thus we have;
2(-2) = 3 + 2b
-4 = 3 + 2b
2b = -4-3
2b = -7
b = -7/2
So the equation is;
2y = x -7
Answer:
x=1/4
Step-by-step explanation:
1/4+3/4=1 whole
<h3>
Answer: Choice B</h3>
The set notation includes all values from -5 to 0, but the domain only includes the integer values
eg: something like -1.2 is in the second set, but it is not in the set {-5,-4,-3,-2,-1}
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Further explanation:
Let's go through the answer choices one by one
- A. This is false because 0 does not come before -5, but instead -5 is listed first. The order -5,-4,-3,-2,-1,0 is correct meaning that
is the correct order as well. - B. This is true. A value like x = -1.2 is in the set
since -1.2 is between -5 and 0; but -1.2 is not in the set {-5, -4, -3, -2, -1, 0}. So the distinction is that we're either considering integers only or all real numbers in this interval. To ensure that we only look at integers, the student would have to write 
. The portion 
means "x is in the set of integers". The Z refers to the German word Zahlen, which translates to "numbers". - C. This is false. The student used the correct inequality signs to indicate x is -5 or larger and also 0 or smaller; basically x is between -5 and 0 inclusive of both endpoints. The "or equal to" portions indicate we are keeping the endpoints and not excluding them.
- D. This is false. Writing
would not make any sense. This is because that compound inequality breaks down into 
. Try to think of a number that is both smaller than -5 AND also larger than 0. It can't be done. No such number exists.
Answer:
B
Step-by-step explanation:
76/8 = 9.5
Choice B
Ok...we got 250 people
30% are French, 35% are Americans, 20% are Germans....thats 85%.
This means 15% are from other countries
3 not from other countries...
0.85 * 0.85 * 0.85 = 0.6
0.6(250) = 150 students <===
