anonymous
  • anonymous
need help with a couple of algebra questions. Will fan and Medal!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
@JoannaBlackwelder
JoannaBlackwelder
  • JoannaBlackwelder
Ok, what are your questions?
anonymous
  • anonymous
9x^2 - 16x + 60 = 0 Part A: Describe the solution(s) to the equation by just determining the radicand. Show your work. (3 points)

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anonymous
  • anonymous
how do you determine the radicand?
JoannaBlackwelder
  • JoannaBlackwelder
That is the part in the quadratic equation that is under the radical. b^2-4ac
anonymous
  • anonymous
so you would just plug in and solve?
JoannaBlackwelder
  • JoannaBlackwelder
Yep. If the radicand is positive, that means that the solution(s) will be two real solutions.
JoannaBlackwelder
  • JoannaBlackwelder
If it is 0, then the solution is one real solution.
JoannaBlackwelder
  • JoannaBlackwelder
And if it is negative, there will be two imaginary solutions.
JoannaBlackwelder
  • JoannaBlackwelder
So, what do you get?
JoannaBlackwelder
  • JoannaBlackwelder
Hm, that's not what I get. Check your signs.
anonymous
  • anonymous
I will show you my work
JoannaBlackwelder
  • JoannaBlackwelder
Sure :-)
anonymous
  • anonymous
9x^2-16x+60=0 -16^2-4(9)(60) -16^2-4(540) 256-2160 -1904
JoannaBlackwelder
  • JoannaBlackwelder
Yep, that's what I get. :-)
JoannaBlackwelder
  • JoannaBlackwelder
So, what type are the solutions?
anonymous
  • anonymous
ok, so that would be the radicand?
JoannaBlackwelder
  • JoannaBlackwelder
Yep
anonymous
  • anonymous
Solve 4x2 + 8x - 5 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used. (4 points)
anonymous
  • anonymous
I chose to solve by completing the square but I forgot how to solve it can you help?
anonymous
  • anonymous
I have a really bad memory:(
JoannaBlackwelder
  • JoannaBlackwelder
Hm, you can do it that way, but I think the quadratic formula would be easier.
anonymous
  • anonymous
ok
anonymous
  • anonymous
I am looking at the steps from this link http://assets.openstudy.com/updates/attachments/5567650be4b01de5673a8a96-vocaloid-1432844914043-screenshot20150528at4.28.10pm.png
anonymous
  • anonymous
would it be okay if I had a negative for c instead of a positive?
anonymous
  • anonymous
are you still there?
JoannaBlackwelder
  • JoannaBlackwelder
At that link, you just need the step on the bottom right. The rest is deriving the formula.
anonymous
  • anonymous
oh ok
JoannaBlackwelder
  • JoannaBlackwelder
And any of the terms can be positive or negative :-)
anonymous
  • anonymous
|dw:1432923772865:dw|
anonymous
  • anonymous
this is what I have. What do I do now?
JoannaBlackwelder
  • JoannaBlackwelder
No, that's not what I get. Check your signs under the radical.
anonymous
  • anonymous
I will show you my work
JoannaBlackwelder
  • JoannaBlackwelder
Sounds good
anonymous
  • anonymous
|dw:1432923987899:dw|
JoannaBlackwelder
  • JoannaBlackwelder
|dw:1432924306758:dw| Very close though!
anonymous
  • anonymous
|dw:1432924501938:dw| so it would be this
JoannaBlackwelder
  • JoannaBlackwelder
Yep, but that can simplify more.
anonymous
  • anonymous
I got -4/8=-0.5 and -20/8=-2.5
JoannaBlackwelder
  • JoannaBlackwelder
Yep, awesome! :D
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
this is what I got 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=10.5625 inches at time 0.8125 seconds. Part B: The function that has a greater x- intercept is f(t), meaning that when the Labrador will land later than the fox when it jumps over the hurdle. Part C: I need help with part c
JoannaBlackwelder
  • JoannaBlackwelder
I'll be back on later

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