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
Ludmilka [50]
3 years ago
7

A dolphin is swimming to the surface of the ocean while at the same time a bird is flying towards the surface of the ocean. The

function fx) models the position, in feet, of the dolphin x seconds after it starts swimming towards the surface. The function models the dolphin's position for the first 5 seconds The function g (x) models the position, in feet, of the bird x seconds after the bird begins flying towards the surface. The function models the bird's position for the first 5 seconds. A partial table of values ​​for the two linear functions is shown. x f (x) g (x) 0.0-11 10 0.59 9 1.07 8 1.55 7 2.0 -3 6 2.5 -1 5 After how many seconds will the dolphin and bird be at the same position?

Mathematics
2 answers:
maksim [4K]3 years ago
5 0

They are at the same position at 0.5 seconds because with respect to the ocean's surface, they are both 9 feet away.

Hope this helps!!

Len [333]3 years ago
5 0

Answer:

The dolphin and bird be at the same position will be at the same position after 3.5 seconds

Step-by-step explanation:

The general equation of a line is h(x) = m*x + b, where m is the slope and b is the y-axis interception. We can get m and b from data as follows. To get m, we need 2 points (x1,y1) and (x2, y2) and the next formula m = (y2 - y1)/(x2 - x1).  

For f(x), using (0.5, -9) and (0, -11)

m = (-9 - (-11))/(0.5 - 0) = 4

For g(x), using (0.5, 9) and (0, 10)  

m = (9 - 10)/(0.5 - 0) = -2

To get b, we need to see f(x) and g(x) values at x = 0. So, for f(x), b = -11 and for g(x), b = 10. Then,  

f(x) = 4*x - 11

g(x) = -2*x + 10

The dolphin and bird be at the same position when f(x) be equal to g(x). Mathematically :

f(x) = g(x)

4*x - 11 = -2*x + 10

4*x + 2*x = 10 + 11

6*x = 21

x = 21/6

x = 3.5 seconds

You might be interested in
How do I solve this equation: (3+2i)+(2+bi)=5-4i
oksian1 [2.3K]
(3+2i)+(2+bi)=5-4i

6 0
2 years ago
Y=2x+1<br> answers anyone?
laila [671]

Answer: y= 2

Step by step: Multiply 2 and 1 to get 2

6 0
3 years ago
Line segment AB is translated 5 units right and 2 units down followed by a rotation of 180o about the origin. The resulting imag
sergeinik [125]
The correct answer is c
3 0
2 years ago
Read 2 more answers
Question in the picture
ehidna [41]

Answer:

y=2x+5 is the answer ALSO CAN WE TALK ABOUT THE FACT THAT MOO975 IS ON THREE QUESTIONS AT THE SAME TIME

Step-by-step explanation:

6 0
3 years ago
Como dividir 8.2 por 2.87
lakkis [162]
It would equal 11.07. it is right
3 0
3 years ago
Read 2 more answers
Other questions:
  • How are the functions y = x and y = x – 3 related? Relate their graphs too.
    14·1 answer
  • An open box is made from a ​30-cm by 60​-cm piece of tin by cutting a square from each corner and folding up the edges. The area
    11·1 answer
  • 1.12 for 12 determine the cost of 3 eggs
    7·2 answers
  • A coin purse contains d dimes and q quarters.There are 20 coins in the purse and the total value of the coins is $4.25.which sys
    13·2 answers
  • 1. A quadrilateral has vertices (5, 3) (5,-1) (-1,3) and (-1,-1). What special quadrilateral is formed by connecting the midpoin
    8·1 answer
  • The formula for volume of a rectangular prism is V=
    8·1 answer
  • The sum of an a.p is 340. the first term is 7 and the common difference is 6. Cal the number of terms in the sequence.
    10·2 answers
  • 2x + 8y = 28<br> 2x + 8y = 29<br> e?
    14·1 answer
  • I need more help pls and thx to who ever help
    10·1 answer
  • What is 54.77 rounded to the nearest tenth ?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!