Answer:
2x² + x - 5
Step-by-step explanation:
(f + g)(x) = f(x) + g(x), thus
f(x) + g(x)
= - 2 + 2x² + x - 3 ← collect like terms
= 2x² + x - 5
To find the vertex, you need to find the axis of symmetry first.
In order to find the axis of symmetry we have to do -b/2a.
In our case, the b is -8 and the a is 1.
Plug it in.
-(-8)/2(1)
8/2 = 4
Our axis of symmetry is 4.
Now, we plug it into the equation to find the rest of the vertex.
y = 4^2 - 8(4) + 1
y = 16 - 32 + 1
y = -16 + 1
y = -15
Put it together.
Our vertex is (4,-15).
Answer:
x = 21º
Step-by-step explanation:
∆ ABC is isosceles therefor
Angles B and C are congruent
(180 - 18)/2 = 162/2 = 81º
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∆ BCD is equilateral therefor all angles are 60º
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x = = 81 - 60
x = 21º
Your answer is "P > 53 over 60"
(open image for the work)