The only equation that has the vertex up the x-axis and, consequently, does not touch the x-axis is the first one: y = 3x^2 -2x+1.
Then, that is the answer.
To verify that you can calculate the discriminant, b^2 - 4(a)(c), for each equation and use these facts:
If b^2 - 4(a)(c) = 0, there is only one real root (the graph touches the x-axis in one point)
If b^2 - 4ac > 0, there are two real roots (the graph touches the x-axis in two different points)
If b2 - 4ac < 0, there are no real roots (the graph does not touch the x-axis). This is the case for y = 3x^2 - 2x + 1. (-2)^2 -4(3)(1) = 4 - 12 = -8 < 0 => not real roots.
9 + n = -2
-9 -9 Get rid of 9 from both sides
n = -2 - 9
n = -11
Answer:
145.9 cubic inches
Step-by-step explanation:
The volume of a triangular prism is:
1/2 x length x width x height
Use the formula with the given dimensions:
1/2 x 5.27 x 8.13 x 6.81 = 145.8875655
Round it up to the nearest tenths:
145.8875655 —> 145.9
I hope this helps!
Answer:
8/17
Step-by-step explanation:
The sine is the opposite side divided by the hypotenuse:
sin(angle) = y/√(x²+y²) = 8/√(8²+15²) = 8/√289
sin(angle) = 8/17
Answer:
A=-2 B=17
Step-by-step explanation: