Answer:
C - f(t) = 4(t − 1)^2 + 2; the minimum height of the roller coaster is 2 meters from the ground.
Step-by-step explanation:
Here we're asked to rewrite the given equation f(t) = 4t^2 − 8t + 6 in the form f(t) = a(t - h)^2 + k (which is known as the "vertex form of the equation of a parabola.") Here (h, k) is the vertex and a is a scale factor.
Let's begin by factoring 4 out of all three terms:
f(t) = 4 [ t^2 - 2t + 6/4 ]
Next, we must "complete the square" of t^2 - 2t + 6/4; in other words, we must re-write this expression in the form (t - h)^2 + k.
(To be continued)
Answer:
M=3
Step-by-step explanation:
Use the slope formula
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The volume is the product of the height and the area of the base.
V = Bh
The area of the square base is (4 cm)² = 16 cm², so the height can be found from
144 cm³ = (16 cm²)h
h = (144 cm³)/(16 cm² = 9 cm
The height of the prism is 9 cm.
First you need common denominator
x/2 - 6/2 = 34/2
now , eliminate denominator
x - 6 = 34 add 6 to both sides and simplify
x=40
