need help with a couple of algebra questions.
Will fan and Medal!

- anonymous

need help with a couple of algebra questions.
Will fan and Medal!

- Stacey Warren - Expert brainly.com

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- anonymous

@JoannaBlackwelder

- JoannaBlackwelder

Ok, what are your questions?

- 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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## More answers

- anonymous

how do you determine the radicand?

- JoannaBlackwelder

That is the part in the quadratic equation that is under the radical. b^2-4ac

- anonymous

so you would just plug in and solve?

- JoannaBlackwelder

Yep. If the radicand is positive, that means that the solution(s) will be two real solutions.

- JoannaBlackwelder

If it is 0, then the solution is one real solution.

- JoannaBlackwelder

And if it is negative, there will be two imaginary solutions.

- JoannaBlackwelder

So, what do you get?

- JoannaBlackwelder

Hm, that's not what I get. Check your signs.

- anonymous

I will show you my work

- JoannaBlackwelder

Sure :-)

- anonymous

9x^2-16x+60=0
-16^2-4(9)(60)
-16^2-4(540)
256-2160
-1904

- JoannaBlackwelder

Yep, that's what I get. :-)

- JoannaBlackwelder

So, what type are the solutions?

- anonymous

ok, so that would be the radicand?

- JoannaBlackwelder

Yep

- 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

I chose to solve by completing the square but I forgot how to solve it can you help?

- anonymous

I have a really bad memory:(

- JoannaBlackwelder

Hm, you can do it that way, but I think the quadratic formula would be easier.

- anonymous

ok

- anonymous

I am looking at the steps from this link http://assets.openstudy.com/updates/attachments/5567650be4b01de5673a8a96-vocaloid-1432844914043-screenshot20150528at4.28.10pm.png

- anonymous

would it be okay if I had a negative for c instead of a positive?

- anonymous

are you still there?

- JoannaBlackwelder

At that link, you just need the step on the bottom right. The rest is deriving the formula.

- anonymous

oh ok

- JoannaBlackwelder

And any of the terms can be positive or negative :-)

- anonymous

|dw:1432923772865:dw|

- anonymous

this is what I have. What do I do now?

- JoannaBlackwelder

No, that's not what I get. Check your signs under the radical.

- anonymous

I will show you my work

- JoannaBlackwelder

Sounds good

- anonymous

|dw:1432923987899:dw|

- JoannaBlackwelder

|dw:1432924306758:dw|
Very close though!

- anonymous

|dw:1432924501938:dw|
so it would be this

- JoannaBlackwelder

Yep, but that can simplify more.

- anonymous

I got -4/8=-0.5 and -20/8=-2.5

- JoannaBlackwelder

Yep, awesome! :D

- 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

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

I'll be back on later

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