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butalik [34]
2 years ago
10

1. The area of a rectangular carpet is X² + X - 2. HINT: Area = length X breadth

Mathematics
1 answer:
Rufina [12.5K]2 years ago
5 0

Answer:

Information is not enough

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A dog jumps straight up. Y=-16t^2+20t models the motion of the dog, where "t" is the time in seconds and "y" is the height of th
alina1380 [7]

Answer:

Step-by-step explanation:

The motion of the dolphin is quadratic

i.e y=-16t²+20t

To get the maximum height the dolphin will reach

We need to find the point of inflexion. i.e dy/dt=0

dy/dt=-32t+20

Then set dy/dt=0

0=-32t+20

Then, -32t=-20

t=0.625

Let find d²y/dt²

d²y/dt²=-32. Since this is negative then the point t=0.625 is the maximum point the dolphin can reach

Then substitute t=0.625 into y

y=-16t²+20t

y=-16(0.625)²+20(0.625)

y=6.25ft

Then the maximum height the dolphin can reach is 6.25ft

Using discriminant

Formular method

y=-16t²+20t

So the dog height y<7

y=-16t²+20t <7

-16t²+20t-7<0

a=-16, b= 20. c=-7

t=(-b±√b²-4ac)/2a

Using the a, b and c direct for the discriminant

D=b²-4ac

D=20²-4×-16×-7

D=-48

Which is a complex number

Then the dolphin can reach the height

Then we need to model the D to be greater than 0

Therefore,

D>0

b²-4ac>0

We cannot do anything to a and b it is already given

a=-16, b=20

(20)²-4(-16c)>0

400+64c>0

64c>-400

Then

c>-6.25

Divide both side by - and the inequality sign will change

Therefore -c<6.25

So the dog height y<6.25

y=-16t²+20t <6.25

Therefore the maximum height is 6.25.

If it is greater than that then, we are going to have a complex root movement which is not possible for the dolphin .

5 0
3 years ago
13.
svetlana [45]
The answer is 2,596 so it would be C

7 0
3 years ago
Read 2 more answers
For the x-values 1, 2, 3, and so on, the y-values of a function form an
o-na [289]

Answer: exponential decay

Step-by-step explanation:

6 0
3 years ago
Someone please help!! I’ll give brainliest:))
Allisa [31]
I’ve attached my work...
Hope it helps! Have a nice day :)

8 0
2 years ago
What is the Prime Factors of 10​
Drupady [299]

Answer:

  2, 5

Step-by-step explanation:

10 = 2 × 5 . . . . . . both of these factors are prime

7 0
2 years ago
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