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
12345 [234]
2 years ago
8

Write the equation in the form y = a • b^x given the table below.​

Mathematics
1 answer:
MrRa [10]2 years ago
6 0

9514 1404 393

Answer:

  y = 1 · 5^x

Step-by-step explanation:

Use the given values in the given formula and solve for 'a' and 'b'.

  y = a·b^x

  5 = a·b^1 . . . . . . for (x, y) = (1, 5)

  125 = a·b^3 . . . . for (x, y) = (3, 125)

Divide the second equation by the first:

  125/5 = (a·b^3)/(a·b^1)

  25 = b^2 . . .  simplify

  5 = b . . . . . . . take the square root

Substituting into the first equation, we can find 'a':

  5 = a·5

  1 = a . . . . . . . divide by 5

Written in the given form, the equation is ...

  y = 1 · 5^x

You might be interested in
On top of a hill, a rocket is launched from a distance 80 feet above a lake. The rocket will fall into the lake after its engine
Free_Kalibri [48]
The maximum height is 144 feet.

The maximum height is the y-coordinate of the vertex.  To find the vertex, we first use x = -b/2a.  For our information, that is x=-64/2(-16) = -64/-32 = 2.

Now we substitute this into the equation:
y = -16(2²) + 64(2) + 80 = -64 + 128 + 80 = 144
3 0
3 years ago
Aflati un numar natural care impartit la 17 da catul 23 si restul 11.
Anit [1.1K]
I cannot understand what you are saying 
5 0
3 years ago
The equation of a line is y = 1.5x − 2. What are its slope and y-intercept?
andre [41]

This equation is written in slope intercept form, y=mx+b, with m being the slope and b being the y-intercept.

The slope of the line is 1.5 and the y-intercept is -2. The answer is A.

I hope this helps ;)

4 0
3 years ago
Read 2 more answers
A train travels train travels 288 kilometre at a uniform speed. If the speed had been 4 kilometre per hour more it would have ta
kiruha [24]

Answer:

Let the speed of the train be x km/h.

Case 1:

Distance = 288 km

Speed = x km/h

Time = Distance/Speed

= 288/x h

Case 2:

Distance = 288 km

Speed = (x+4) km/h

Time = 288/x + 4 h

Since 288/x > 288/x + 4

288/x - 288/x+4 = 1

288[1/x - 1/x+4 ] = 1

[ x + 4 - x / x(x + 4) ] = 1/288

[4 / x^2 + 4x ] = 1/288

x^2 + 4x = 1152

x^2 + 4x - 1152 = 0

x^2 + 36x - 32x - 1152 = 0

x(x + 36) - 32(x + 36) = 0

(x + 36)(x - 32) = 0

x + 36 = 0 , x - 32 = 0

x = -36 , x = 32

x = -36 , rejected since speed cannot be negative.

Therefore , speed of the train = 32 km/h

4 0
3 years ago
What percent x 2280 = 9744​
Burka [1]

well, what is 9,744/2,280? take that and move the decimal point two places to the right to find the answer.

3 0
3 years ago
Other questions:
  • What is the measure of ∠B?
    12·1 answer
  • Find the volume of a rectangular holding tank whose dimensions are 5p, 2t, and 4w. (V = lwh)
    12·1 answer
  • If Anna has 5 fishes, and three dies. How many fishes does Anna have left?
    8·2 answers
  • A survey of UF students asked for their employment status and their year in school. The results appear below.
    12·1 answer
  • Ana owns an airline and pays the airport $35.00 for each ticket sold. the amount Ana pays is given by f(x)=35x where x is the nu
    13·1 answer
  • A bag contains five Snickers bars, nine Milky Way bars, two Crunch bars,
    8·1 answer
  • Solve and explain???? ​
    6·1 answer
  • Help me plz <br> Plz help please
    13·2 answers
  • On a graph paper, sketch the following :​
    8·1 answer
  • For the linear function(straight line) y = 7x - 3,ar function(straight line) y = 7x - 3,
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!