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
docker41 [41]
2 years ago
7

Enter an equation for the function that includes the points.Give your answer in a(b)x. In the event that a=1 , give your answer

in form (b)x. (2,2/3) and 3,5/9 The equation is f(x)=
Mathematics
1 answer:
Andrews [41]2 years ago
7 0

Answer:

f(x) = \frac{24}{25} * \frac{5}{6}^x

Step-by-step explanation:

Given

(x_1,y_1) = (2,\frac{2}{3})

(x_2,y_2) = (3,\frac{5}{9})

Required

Write the equation of the function f(x) = ab^x

Express the function as:

y = ab^x

In: (x_1,y_1) = (2,\frac{2}{3})

y = ab^x

\frac{2}{3} = a * b^2 --- (1)

In (x_2,y_2) = (3,\frac{5}{9})

y = ab^x

\frac{5}{9} = a * b^3 --- (2)

Divide (2) by (1)

\frac{5}{9}/\frac{2}{3} = \frac{a*b^3}{a*b^2}

\frac{5}{9}/\frac{2}{3} = b

\frac{5}{9}*\frac{3}{2} = b

\frac{5}{3}*\frac{1}{2} = b

\frac{5}{6} = b

b = \frac{5}{6}

Substitute 5/6 for b in (1)

\frac{2}{3} = a * b^2

\frac{2}{3} = a * \frac{5}{6}^2

\frac{2}{3} = a * \frac{25}{36}

a = \frac{2}{3} * \frac{36}{25}

a = \frac{2}{1} * \frac{12}{25}

a = \frac{24}{25}

The function: f(x) = ab^x

f(x) = \frac{24}{25} * \frac{5}{6}^x

You might be interested in
You baked 64 vanilla cupcakes and 28 carrot cake
Digiron [165]
7 is in the box i believe!!
6 0
2 years ago
During the summer you charge eight dollars per hour for babysitting plus $10 in gas money for driving to the house if you Make $
maxonik [38]

Answer:

the answer is 4 hours

Step-by-step explanation:

42-10=32

for the gas money

32 divided by 8 =4 hours

7 0
3 years ago
How many 4' x 8' sheets of plywood are required to cover a floor that is 9 m by 16 m?
Xelga [282]
Assuming no border or waste, 9m by 16 m translates to 29.52' x 52.49'.
use 32/8=4 sheets of plywood to cover the width on the 8' side.
For the length, use 52/4=13 pieces on the 4' side.  
This gives a total of 4*13=52 sheets.
The extra 0.49' x 29.52 can be covered using the extra from the last four sheets for the width.

Check: 
Area to be covered: 29.52*52.49=1550 sq. ft.
Area of plywood supplied = 52*4'x8'= 1664 sq. ft, > 1550 sq.ft.
8 0
2 years ago
What type of number is 0.888...?
sweet-ann [11.9K]

Answer:

This is a decimal or a rational number

Step-by-step explanation:

The decimal is a fraction that is in similar terms

rational is a number that repeats it self or is an integer

8 0
3 years ago
Solve the following equation by completing the square: 2x^2 – 2x – 4 = 0
Rus_ich [418]

Answer:

the answer is B

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • 2+2?<br> I need help this is really hard helpppp
    13·2 answers
  • Simplify c + 4c^2 - 2 + 2c - c^2 + 5
    10·1 answer
  • 3x+2 if x less than 5
    15·1 answer
  • What is a common denominator for 1/4 and 5/6!?!? PLEASE HELP!!!!!!
    14·2 answers
  • A photo is provided for this question
    13·1 answer
  • Please help!! Need to pass this test it’s my last question
    15·2 answers
  • How do I draw this in the circle
    12·2 answers
  • A school is going to a field trip to the zoo. There were S amount of students. The tickets are 15 dollars each. The school ended
    8·1 answer
  • Only 100 points for you to answer to my math word problem question but please don’t post a very useless answer on The Brainly! &
    9·2 answers
  • $1,000 at 14% for 2 yearswhat is the simple interest?what is the total amount?
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!