The table shows the outcome of rolling a number cube (labeled 1 through 6) 200 times.
2 answers:
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We need to graph this equation:
Its solutions are the points through which it graph passes. Since it's a linear equation its graph is a straight line and we only need two of its points to draw it. But before graphing let's re-write the equation. We can substract 16x from both sides:
And we divide both sides by 2:
So now with this equation if we pick two random x values we'll get their corresponding y values. This way we'll find two points that are part of the graph which is the line that passes through both. We can begin with x=0:
So the first point is (0,150). Then we can take x=10 and we get:
So the second point is (10,70). Then the graph is the line that passes through points (0,150) and (10,70). In order to represent it
Answer:
The two roots of the quadratic equation are
Step-by-step explanation:
Original quadratic equation is
Divide both sides by 9:
Add to both sides to get rid of the constant on the LHS
==>
Add to both sides
This simplifies to
Noting that (a + b)² = a² + 2ab + b²
If we set a = x and b = we can see that
=
So
Taking square roots on both sides
So the two roots or solutions of the equation are
and
So the two roots are
and