1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Travka [436]
3 years ago
8

A model rocket is launched off the top of a platform. The height of the rocket is given by the function h(t) = -4.9t2+ 86t + 2.1

, where h(t) is the height in meters and t is the time in seconds. When will the rocket's height be 200m?
Mathematics
1 answer:
Gemiola [76]3 years ago
3 0

Answer:

t = 14.82 and 2.72secs

Step-by-step explanation:

Given the function of the rocket height expressed as;

h(t) = -4.9t^2+ 86t + 2.1

if the rocket height is at 200m, then;

200 = -4.9t^2+ 86t + 2.1

multiplying through by 10

2000 = -49t^2 + 860t + 21

49t^2 - 860t - 21 + 2000 = 0

49t^2 - 860t + 1979 = 0

Factorize

t = 860±√(860)²-4(49)(1979)/2(49)

t = 860±√739,600-387,884/98

t = 860±√351,716/98

t = 860±593.06/98

t = 860+593.05/98 and 860-593.05/98

t = 1,453.05/98 and 266.94/98

t = 14.82 and 2.72secs

These are the times

You might be interested in
Please help ill give brainliest
Nata [24]
I am pretty sure the answer is c
6 0
3 years ago
Read 2 more answers
After paying eight dollars for the pie, Mike has eighty - one dollars left, his friend has thirteen dollars. How much money did
Inessa [10]

Answer:

__ - 8=81

unsure if we're adding his friend but for this i assume no,

81+ 8 = 89

so its either 89 or

89+13=102

7 0
3 years ago
Identify the line segment that is a radius.
charle [14.2K]

Answer:

The line segment that is a radius is FD.

Hope it will help:)❤

7 0
3 years ago
Factor:
Darina [25.2K]
Z4+x33[23+32)
JanalN
Uhajaia
Jain
5 0
3 years ago
I don't understand all three. What am I supposed to do and what is the answer?
AlladinOne [14]

Answer:

Step-by-step explanation:

The Domain means all possible values that x can be.

The range is the outcomes you get when you plug in the domain.

For each function, choose values for x.

Then solve

The outcome you get is f(x)

F(X) is an easier way of saying y,

If its easier this way, in terms of y, the equations would be y=-4x, y=x+6, and y=3x+2. You would solve these as you solve linear equations!

Ordered pair of [x,f(x)]

Lets Start!

#1

x | -4x | f(x)  

Lets use the values -2, -1, 0, 1, and 2 for x.

-2 | -4(-2) | 8  (-2,8)

-1 | -4(-1) | 4  (-1,4)

0 | -4(0) | 0  (0,0)

1 | -4(1) | -4  (1,-4)

2 | -4(2) | -8  (2,-8)

Domain we have right now- {-2,-1,0,1,2}

Range we have right now- {8,4,0,-4,-8}

Domain and Range of entire function- All real numbers

#2

x | x+6 | f(x)

Lets use the values -2, -1, 0, 1, and 2 for x.

-2 | -2 + 6 | 4

-1 | -1 + 6 | 5

0 | 0 + 6 | 6

1 | 1 + 6 | 7

2 | 2 + 6 | 8

Domain we have right now- {-2,-1,0,1,2}

Range we have right now- {4,5,6,7,8}

Domain and Range of entire function- All real numbers

#3

x | 3x + 2 | f(x)

-2 | 3(-2) + 2 | 4

-1 | 3(-1) + 2 | -1

0 | 3(0) + 2 | 2

1 | 3(1) + 2 | 5

2 | 3(2) + 2 | 8

Domain we have right now- {-2,-1,0,1,2}

Range we have right now- {4,-1,2,5,8}

Domain and Range of entire function- All real numbers

Hope i helped, Brainliest would be appreciated.

Have a nice day!

   -Aadi x

3 0
3 years ago
Other questions:
  • A gardener buys a plant that is 12cm in height. Each week after that the plant grows 10cm. Note: The plant is 12cm high at the b
    9·2 answers
  • Find the number set which satisfies each of the problems. If 7 is subtracted from the absolute value of the sum of a number and
    6·2 answers
  • What is the domain and range of the function f(x) = x^2 -4x-5?
    11·1 answer
  • It takes Hank 40 minutes (2/3 hours) to mow a lawn. Penny can mow the same size lawn in 30 minutes (1/2 hour). Hank and Penny fo
    9·1 answer
  • Solve : A=1/2nal for n
    11·1 answer
  • Find the percent of change from 45 ft. to 92 ft.<br> Round to the nearest percent.
    6·1 answer
  • The imaginary number i raised to the power of 38 simplifies to
    14·2 answers
  • The last one is $30 which one ?
    10·2 answers
  • Often scientists use rate of change equations in their study of population growth for one or more species. In this problem we st
    6·1 answer
  • A quantity with an initial value of 240 grows exponentially at a rate of 9.5% every 2 decades. What is the value of the quantity
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!