Answer:
(c) (x +7)/3
Step-by-step explanation:
Factor each expression and cancel common factors.
If you take the point on the bridge directly beneath the lowest point on the cable to be the origin, then the parabola has equation
300 ft to either side of the origin, the parabola reaches a value of <em>y</em> = 90, so
Adding these together eliminates <em>b</em> and lets you solve for <em>a</em> :
Solving for <em>b</em> gives
So the parabola's equation is
150 ft away from the origin, the cable is at a height <em>y</em> of
ft above the bridge.
Answer:
(d) k = 8
Step-by-step explanation:
The value k in the equation ...
g(x) = f(x) +k
represents a vertical translation by k units.
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The vertex coordinates for f(x) and g(x) are ...
f(x): vertex = (-3, -3)
g(x): vertex = (-3, 5)
This means ...
f(-3) = -3
g(-3) = 5 = f(-3) +k = -3 +8 ⇒ k = 8
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<em>Additional comment</em>
Translations of various kinds are often most easily seen by comparing points where the graph has a distinctive feature. On this graph, that is the vertex.
Answer:
1/12
Step-by-step explanation:
she should the sandwich into 12 peices...