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REY [17]
3 years ago
13

.Given: F(x) = 3x2+ 1, G(x) = 2x - 3, H(x) = x

Mathematics
1 answer:
inna [77]3 years ago
8 0

For this case we have the following functions:

F (x) = 3x ^ 2 +1\\G (x) = 2x-3\\H (x) = x

We have to:

G (x) * - 1 is given by:

(2x-3) * - 1 = -2x +3

Thus, the correct option is the option is A.

On the other hand,

F (x) +G (x) = 3x ^ 2 +1 +(2x - 3) = 3x ^ 2+ 1+ 2x-3 = 3x ^ 2 +2x-2

Thus, the correct option is the option is A.

We also have:

F (-2) = 3 (-2) ^ 2+ 1 = 3 (4)+ 1 = 12+ 1 = 13

Thus, the correct option is the option is B.

Last we have:

F (3)+G (4) -2H (5) = (3 (3) ^ 2+ 1)+ (2 (4) -3) -2 (5) = (3 (9)+ 1) - (8-3) 10 = 28+ 5-10 = 33

Thus, the correct option is the option is C.

ANswer:

Option A, A, B, C

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3 years ago
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A.

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Step-by-step explanation:

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Here are your given values:

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Position 2 = 10ft [down]

Change in time (Δt - time - scalar) = 25 seconds

The equation for displacement is d₂-d₁. This would be the change of position of the elevator during the 25 seconds.

So, we can use this equation to figure out the change in position.

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The equation for velocity is Δd/Δt. This would be the rate of which the elevator travels. Velocity is simply speed but with a direction.

So, we can use this equation to solve.

v = Δd / Δt = 60 feet [up] / 25 seconds = 2.4 ft / second [up].

Now, we need to change 2.4 ft / second [up] into a fraction.

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All I am simply doing is figuring out the distance the elevator traveled and determined the direction of which the elevator traveled. Then, I divided that by the time the elevator traveled to determine its speed and the direction the elevator traveled.

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