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Kitty [74]
3 years ago
8

F(x) = 4x2 + 5x - 3 g(x) = 4x2 – 3x2 + 5 Find (f +g)(x).

Mathematics
1 answer:
kondaur [170]3 years ago
6 0

Answer:

5x + 12

Step-by-step explanation:

simplify f(x) and g(x)

g(x) = 4*2 -3*2 +5

g(x) = 8 -6 + 5

g(x) = 7

and

f(x) = 4*2 + 5x -3

f(x) = 8 + 5x - 3

f(x) = 5x + 5

So (f + g)(x) = f(x) + g(x)

(f + g)(x) = (5x + 5) + (7)

(f + g)(x) = 5x + 12

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<h3>Answer:</h3>

Yes, ΔPʹQʹRʹ is a reflection of ΔPQR over the x-axis

<h3>Explanation:</h3>

The problem statement tells you the transformation is ...

... (x, y) → (x, -y)

Consider the two points (0, 1) and (0, -1). These points are chosen for your consideration because their y-coordinates have opposite signs—just like the points of the transformation above. They are equidistant from the x-axis, one above, and one below. Each is a <em>reflection</em> of the other across the x-axis.

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An object that has the same length and angle measures before and after transformation <em>is congruent</em> to its transformed self.

So, ... ∆P'Q'R' is a reflection of ∆PQR over the x-axis, and is congruent to ∆PQR.

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Yea uh... mmmmm... may someone help me with this. Thank you so very much! :D
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