Question

PLEASE HELP :(

Answer 1

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)?

Part B: Which function has a greater x-intercept? What do the x-intercepts of the graphs of f(t) and g(t) represent?

Part C: Determine the y-intercepts of both functions and explain what this means in the context of the problem.

Answer 2

Can someone please explain? :/

Answer 3

Oh and the first function is f(t) = -16t^2 + 26t my mistake

Answer 4

:/ anyone?.....

Answer 5

PART A:Can you find max value of g(t)?

Answer 6

I thought you had understood it before :/

Answer 7

@Purplerainbowcherry I posted this before we figured it out, I thought you had left

Answer 8

ohhhh but you understand it right?

Answer 9

Yeah, I just got back now, can we figure out Part B?

Answer 10

@Purplerainbowcherry ?

Answer 11

can you check the other post? I wrote a detailed post about it

Answer 12

I know how to graph f(t) but not g(t) :/

Answer 13

?

Answer 14

Can you tell me how to graph g(t)?

Answer 15

no no forget about graphing, hold on let me copy paste what i wrote before

Answer 16

No I saw it, there's another way but I feel more comfortable with graphing...

Answer 17

oohhh okay well for g(t) you just graph like normal, make your y-axis and x-axis and plot the points and join them together in a line

Answer 18

WAIT... In the table where g(t)=0 the corresponding x value IS it's solution!! ...Right?

Answer 19

Because g(t) is another way of writing y... right?

Answer 20

@Purplerainbowcherry ?....

Answer 21

ya, exactly

Answer 22

YESSSSS... This is like the first time I've smiled doing quadratic stuff lol

Answer 23

f(t)'s solutions are (0,0) and (1.63,0)
g(t)'s solutions are (0,0) and (1.2,0)

f(t) solutions > g(t) solutions. This means that the Labrador also jumped farther than the Foxhound. <--- is that good?

Answer 24

yup, perfect

Answer 25

And for part c - The y-intercepts for both functions are the origin, (0,0) this means the two dogs both jumped from the same starting point. <--- that good?

Answer 26

@Purplerainbowcherry , I think I have all my answers for this one, can you just check them?

Answer 27

For a different one I mean, i think I'm correct but not sure

Answer 28

sure

Answer 29

A quadratic equation is shown below:

9x^2 - 16x + 60 = 0

Part A: Describe the solution(s) to the equation by just determining the discriminant. Show your work.

Part B: Solve 4x2 + 8x - 5 = 0 by using an appropriate method. Show the steps of your work, and explain why you chose the method used.

Part C: Solve 2x2 -12x + 5 = 0 by using a method different from the one you used in Part B. Show the steps of your work.

Answer 30

Part a: The discriminant is b^2-4ac, so that would be (16^2)-4(9)(60), which equals -1,904. This would have two complex roots because it is less than 0.