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
Margarita [4]
2 years ago
8

Hi I need help with the question in the image. Step by step, thank you!

Mathematics
1 answer:
VashaNatasha [74]2 years ago
6 0

The exponential function is f(x) = 18(12)^{-x-4} + 2

<h3>How to determine the equation?</h3>

An exponential function is represented as:

y = b^x

Where b represents the base.

The base is given as:

b = 12

So, we have:

y = (12)^x

It is vertically compressed by a factor of 1/8.

So, we have:

y = 18(12)^x

When reflected across the y-axis, we have:

y = 18(12)^{-x}

The horizontal asymptote is y = 2.

So, we have:

y = 18(12)^{-x} + 2

It passes through the point (-3, 4).

So, we shift the function to the right by 4 units

y = 18(12)^{-x-4} + 2

Express as a function

f(x) = 18(12)^{-x-4} + 2

Hence, the exponential function is f(x) = 18(12)^{-x-4} + 2

Read more about exponential functions at:

brainly.com/question/14355665

#SPJ1

You might be interested in
The sum of two numbers is 55 and the difference is 1 . What are the numbers?
schepotkina [342]
27 and 28 because their sum is 55 and 28-27=1

5 0
3 years ago
Determine the y-intercept of the following equation. help pls​
suter [353]

Answer:

0,8

Step-by-step explanation:

(-x-2)(x-4)=y

To find the x-intercept, substitute in 0 for y and solve for x. To find y-intercept, substitiue in 0 for x and solve for y.

(-0-2)(0-4)=y

(-2)(-4)=8

y=8

0,8

7 0
3 years ago
The length of a rectangle is 5 yd more than double the width, and the area of the of the rectangle is 42 yd to the second power
yanalaym [24]

Answer:

The answer to your question is l = 12 and w = 7/2 or 3.5

Step-by-step explanation:

Data

length = l

width = w

Area = 42 yd²

Process

1) Write equations that help to solve this problem

Area = length x width = l x w

Length = 2width + 5  or   l = 2w + 5

2) Substitution

                       42 = lw                               Equation l

                          l = 2w + 5                        Equation ll

                       42 = (2w + 5)w                   Substitute equation ll in l

3.- Expand

                       42 = 2w² + 5w

                       2w² + 5w - 42 = 0

Solve the equation by factoring

-Multiply 2 by 42

                             2 x 42 = 84

-Find the prime factors of 84

                         84 = 2² 3 7

-Find two numbers that added gives +5 using the prime factors

 These numbers are +12 and -7    

-Substitute the values in the equation

                         2w² -7w + 12w - 42

-Factor by grouping

                        w(2w - 7) + 6(2w - 7)                  

                           (2w - 7)(w + 6)

-Find w

                    2w₁ - 7 = 0             w₂ + 6 = 0

                      w₁ = 7/2               w₂ = -6   This value is discarted because

                                                                  there are no negative values

-Find l

                     l = 2(7/2) + 5

                     l = 7 + 5

                     l = 12

7 0
3 years ago
Non proportional or proportional
Elan Coil [88]
Non proportional it should be
4 0
3 years ago
If JL=5x+2 find JL<br> 27<br> 3x-1
iris [78.8K]

Answer:

JL=3x

Step-by-step explanation:

JL=5x+2

-2. -2

JL=3x

8 0
3 years ago
Other questions:
  • Over summer, Jackie played video games 3 hours per day. When school begin in the fall, she was only allowed to play video games
    13·2 answers
  • Which expression is equivalent to (2x4y)^3
    6·1 answer
  • What is the answer to this
    8·2 answers
  • If we draw lines to join each given point to the origin, identify the points whose corresponding line has a slope that is an int
    8·2 answers
  • 21=35% of X<br> Solve for X
    10·2 answers
  • Find the values of x and y. Write your answer in simplest form
    7·2 answers
  • I need someone to teach me the tricks of linear equation​
    8·2 answers
  • Consider the differential equation dy/dx= e^x-1/2y. If y = 4 when x = 0 what is a value of y when x = 1?
    12·1 answer
  • A quarterback completed 16% of his passes in a season. He completed 80 passes. How many passes did the quarterback throw?
    7·1 answer
  • Can someone help me with this? I cannot figure it out
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!