Answer:
Step-by-step explanation:
The domain of all polynomials is all real numbers. To find the range, let's solve that quadratic for its vertex. We will do this by completing the square. To begin, set the quadratic equal to 0 and then move the -10 over by addition. The first rule is that the leading coefficient has to be a 1; ours is a 2 so we factor it out. That gives us:

The second rule is to take half the linear term, square it, and add it to both sides. Our linear term is 2 (from the -2x). Half of 2 is 1, and 1 squared is 1. So we add 1 into the parenthesis on the left. BUT we cannot ignore the 2 sitting out front of the parenthesis. It is a multiplier. That means that we didn't just add in a 1, we added in a 2 * 1 = 2. So we add 2 to the right as well, giving us now:

The reason we complete the square (other than as a means of factoring) is to get a quadratic into vertex form. Completing the square gives us a perfect square binomial on the left.
and on the right we will just add 10 and 2:

Now we move the 12 back over by subtracting and set the quadratic back to equal y:

From this vertex form we can see that the vertex of the parabola sits at (1,-12). This tells us that the absolute lowest point of the parabola (since it is positive it opens upwards) is -12. Therefore, the range is R={y|y ≥ -12}
Y<span>ou </span>can<span> describe </span>lines<span>, rays, and </span>line segments<span> by the way they meet or cross each other. Words </span>Parallel lines<span> are always the same distance apart. They do not meet. Words </span>Lines<span> that meet or cross each other are called intersecting </span>lines<span>. Hope this helps.</span>
I assume X= 100, since it look like 100 degree angle is equal to X angle
Answer:
b and m or known the y-intercept and slope
Step-by-step explanation:
you first place your point of y-intercept which is b in the equation its always got a x value of 0 paired with it.
then from there you place points using the m in the equation which is you rise over run for all your folling points on the graph.
hope that helps
Since -5x is common to both factors, hence the factored form is;
-5x(3y - 5)
<h3>Factoring equation</h3>
Given the exprssion -15xy + 25x
Fing the factors of each term
-15xy = -5 * 3 * x * y
25x = 5 * 5 * x
Since -5x is common to both factors, hence the factored form is;
-5x(3y - 5)
Learn more on factored form here: brainly.com/question/43919