anonymous
  • anonymous
will fan and Medal!
Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
An Labrador leaps over a hurdle. The function f(t) represents the height of the Labrador above the ground, in inches, at t seconds: f(t) = -16t2 + 26t A foxhound jumps over the same hurdle. The table shows the height of the foxhound above the ground g(t), in inches, at t seconds: Time (t) g(t) 0 0 0.4 5.44 0.6 6.24 0.7 6.16 0.8 5.76 1.0 4 1.2 0 Part A: Compare and interpret the maximum of f(t) and g(t)? (4 points) Part B: Which function has a greater x-intercept? What do the x-intercepts of the graphs of f(t) and g(t) represent? (4 points) Part C: Determine the y-intercepts of both functions and explain what this means in the context of the problem. (2 points)
anonymous
  • anonymous
think you will agree that the "maximum" of \(f(t)\) is \(6.24\) right?
anonymous
  • anonymous
\[f(t) = -16t^2 + 26t\] maximum is where \(t=-\frac{26}{2\times(-16)}=\frac{13}{16}\) we gotta plug that in

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anonymous
  • anonymous
oh no i made a mistake the maximum of \(g\) is \(6.24\) not of \(f\) the maximum of \(f\) is \(\frac{169}{16}=10.5625\) so \(f\) gets bigger than \(g\)
anonymous
  • anonymous
what about part C?
anonymous
  • anonymous
y-intercept is when x = 0
anonymous
  • anonymous
|dw:1432906504792:dw|
anonymous
  • anonymous
so what would be part a, b and c?
anonymous
  • anonymous
lol you catching all dis
anonymous
  • anonymous
sort of
anonymous
  • anonymous
Part a) the max of g(t) occurs when t=0.6 seconds, for f(t) since the parabola is concave down due to the negative sign then we know that there is a max on the parabola, the max for f(t) occurs at (13/16,169/16) 169/6=10.5625inches at time 0.8125seconds Part b) f(t) has greater x intercepts, meaning that when the labrador will land later than the fox when it jumps over the hurdle lol
anonymous
  • anonymous
hello ?
anonymous
  • anonymous
you get all that ?
anonymous
  • anonymous
yes
anonymous
  • anonymous
k so you good now ?
anonymous
  • anonymous
im not so good at this stuff at explaining it and all but doing it i am =)
anonymous
  • anonymous
so how would I solve part c?
anonymous
  • anonymous
so plz dont ask for me to explain how im going to get the 1st 2 parts of the question =)
anonymous
  • anonymous
for part c draw out the graph when the dog jumps hes at x=0 y = 0 <--- y intercept
anonymous
  • anonymous
I have to give a written response.
anonymous
  • anonymous
@jakashaka123
anonymous
  • anonymous
@triciaal
anonymous
  • anonymous
I only need part c

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