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Lunna [17]
3 years ago
14

Help please lol I can’t figure it out

Mathematics
1 answer:
masha68 [24]3 years ago
5 0
A rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.
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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
What is the value of x that makes the given equation true?
Doss [256]
Hello there!

The correct answer is C

-----------------------------

x - 3x = 2(4 + x)
Distribute the right side
x - 3x = (2)(4)+(2)(x)
x - 3x = 8 + 2x
Combine like terms
x - 3x - 2x = 8
-4x = 8
Divide both sides by -4
-4x/4 = 8/4
x = -2

Hence,
The correct answer is c

Have a nice day!
6 0
3 years ago
Read 2 more answers
An automobile factory,1849 parts are made in 4 hours.what is the average rate at which parts are made per hour?
MAXImum [283]

Answer:

There are 462.25 parts being made per hour

Step-by-step explanation:

<u>Step 1:  Make an equation</u>

An automobile factory, 1849 parts are made in 4 hours.

<em>1849 / 4 = x</em>

<em />

<u>Step 2:  Solve</u>

1849 / 4 = x

<em>462.25 = x</em>

<em />

Answer:  There are 462.25 parts being made per hour

7 0
3 years ago
Read 2 more answers
mike drove to a frineds house at the rage of 40 mph. he returned hoke by the dsne route at 45 mph the driving time for the round
Lera25 [3.4K]

Let the distance be x miles

Time = Distance / speed

Time taken by Mike to go to his friend's house = x / 40 hours

Time taken by him to return = x / 45 hours

Total time = x / 40 + x / 45 = 4 hours

= 9x + 8x = 1440 miles

17x = 1440

= x = 1440 ÷ 7

= x = 84.706

Time taken to return home = 84.706 /45= 1.882 hours .

Therefore , Mike took 1.882 hours to reach home .

7 0
3 years ago
Can someone please answer letter F ? It applies to the question 4 and the graph on the right , it’s not long .
kherson [118]
F(x)=2x
I would write that since x represents the weeks and we know that she watches two movies a week
6 0
2 years ago
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