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You would use distribution. So, in this case, it would be 10a - 50. You use -10 to multiply -a and 5, and you get 10a, and -50.
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Answer: Choice A</h3>
Explanation:
Each table has x = 10 in it. Plug this value into the given equation.
y = -2x+17
y = -2*10+17
y = -20+17
y = -3
The input x = 10 leads to the output y = -3. Table A shows this in the middle-most row. So that's why choice A is the answer. The other tables have x = 10 lead to y values that aren't -3 (eg: choice D has x = 10 lead to y = 12), so we can rule them out.
Answer:
The coordinates are (0,b)
Step-by-step explanation:
Here, we want to find the coordinates of the midpoint F
as we can see, F is between A and B
we proceed to use the midpoint formula
The midpoint formula is;
(x,y) = (x1 + x2)/2, (y1 + y2)/2
(x1,y1) = (-3a, b)
(x2,y2) = (3a, b)
The substitution of these values will thus yield;
(-3a + 3a)/2, (b + b)/2
= (0/2), (2b/2)
= (0, b)
Answer:
Only option C shows a function
Step-by-step explanation:
The vertical line test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x. This means that a vertical line made in the domain of the function can crosses the curve of the function only once. If it crosses the curve of the function more than once, then the curve is not a function.
In option A, a vertical line would cross two values, so it is not a function.
The curve of option B is a vertical line itself, so a vertical line would intersect an infinite amount of points; then it is not a function.
Option C is a function because a vertical line would only intersect the function's curve (which is a line) once.
