The graph of f(x) = x^2 has only one x-intercept since its vertex is at the origin, (0,0) and it opens up. When comparing the graph of <span>g(x) = -x^2 -5 with the graph of f(x) = x^2, g(x) is the graph of f(x) first reflected in the x-axis and then translated 5 units down. The graph of g(x) has no x-intercepts since its a parabola that opens downward (result of reflection in x-axis) and its vertex at (0,-5) is situated below the x-axis.</span>
Answer:
81 and 9
Step-by-step explanation:
Okay, so if 2 angles are complementary, it means that when they are added together, they equal 90 degrees. So using this, we can make an equation. Let's call one angle x and the other that is 72 less than angle x can be described as x - 72. Now let's make that into an equation.
90 = x + x -72
So in order to solve this, we need to get x by itself. So we need to add 72 on both sides, and the equation should now look like this:
162 = x + x
Now we have to add the x's together.
162 = 2x
Now in order to isolate x, you divide by 2 on both sides.
X = 81
So we now know the larger angle is 81, and the smaller angle which is 72 less, would be 9.
0.14x + 25 = 0.19x
25 = 0.05x
x = 500
the costs of the two plans will be equal after 500 minutes
Answer:
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