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WITCHER [35]
3 years ago
12

What are the factors of the quadratic function ?

Mathematics
1 answer:
storchak [24]3 years ago
8 0
There is a way to factorise this but I'm not sure how to explain it. Another way would be to just expand all the options and see if they equal the function.

For example option A = (4x+1)(2x-3) = 8x^2-12x+2x-3 = 8x^2-10x-3 But this is not the answer you are looking for. 
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Linda goes water-skiing one sunny afternoon. After skiing for 15 min, she signals to the driver of the boat to take her back to
trasher [3.6K]
60 = a * (-30)^2
a = 1/15
So y = (1/15)x^2


abc)
The derivative of this function is 2x/15. This is the slope of a tangent at that point.
If Linda lets go at some point along the parabola with coordinates (t, t^2 / 15), then she will travel along a line that was TANGENT to the parabola at that point.
Since that line has slope 2t/15, we can determine equation of line using point-slope formula:
y = m(x-x0) + y0
y = 2t/15 * (x - t) + (1/15)t^2
Plug in the x-coordinate "t" that was given for any point.


d)
We are looking for some x-coordinate "t" of a point on the parabola that holds the tangent line that passes through the dock at point (30, 30).
So, use our equation for a general tangent picked at point (t, t^2 / 15):
y = 2t/15 * (x - t) + (1/15)t^2
And plug in the condition that it must satisfy x=30, y=30.
30 = 2t/15 * (30 - t) + (1/15)t^2
t = 30 ± 2√15 = 8.79 or 51.21
The larger solution does in fact work for a tangent that passes through the dock, but it's not important for us because she would have to travel in reverse to get to the dock from that point.
So the only solution is she needs to let go x = 8.79 m east and y = 5.15 m north of the vertex.
4 0
3 years ago
A runner can run 20 miles in 150 mins if she runs at that speed what is her pace in mins per mile
juin [17]

Answer:7.5

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
What is C’ T’ if there was a rotation ?
Simora [160]

Answer: The Answer Is 4) Hope it Helps!

Step-by-step explanation:

4 0
3 years ago
If Jose has a car with a mass of 55,000 kg and it is acted upon with a force of 200 Newtons. What is the acceleration?
zloy xaker [14]

Answer:

275 m/s2

Step-by-step explanation:

I know because I had this question in a test and got it correct.

6 0
2 years ago
If your car gets 24 miles per​ gallon, how much does it cost to drive 440 miles when gasoline costs ​$2.80 per​ gallon?
mojhsa [17]
This not might be correct (Cause in a middle schooler) but I think is....
440 divides by 24 = 18.3333333
We round it to the neared whole number which is 18.
18 x 2.80 = 50.4
So it is 50.4 altogether...
7 0
3 years ago
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