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:
1). y = -7/5x - 4
2). y = 1/5x - 5
Step-by-step explanation:
In this question, we have to write the slope-intercept form of the given information.
Slope intercept form is: y = mx + b
Our "m" value is our slope and our "b" value is our y-intercept.
With that knowledge, we can plug in our given information to the slope-intercept equation:
1) slope = -7/5, y-intercept = -4
Plug -7/5 to "m" and -4 to "b"
y = -7/5x - 4
2) slope = 1/5, y-intercept = -5
Plug 1/5 to "m" and -5 to "b"
y = 1/5x - 5
Cos=21/35
=0.6
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Answer:
210cm cubed
Step-by-step explanation:
Width x length x height
3x7x10