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
Anvisha [2.4K]
3 years ago
6

What is the transformation that occurs to the equation y=2^x if it changes to y=2^x-3

Mathematics
1 answer:
gizmo_the_mogwai [7]3 years ago
4 0
     The parent function is: y = 2^x and it it transformed to: y = 2^x - 3. Both are exponential functions. First we can find the value of y, when x = 0.      For the 1st function:      y = 2^0 = 1      For the 2nd function:      y = 2^0 - 3 = 1 - 3 = - 2      We can conclude that the 2nd value of y is 3 units lower than the first.      Answer:      This transformation is translation 3 units down.

You might be interested in
Barbara made a bad investment. Rather than earning interest, her money is decreasing in value by 11% each week! After just one w
pochemuha

Answer: She started with $160.

It will take 6 weeks before she has less than half of what she originally invested.

Step-by-step explanation:

If her money is decreasing in value by 11% each week, it means that the rate at which it is decreasing is exponential.

We would apply the formula for exponential decay which is expressed as

A = P(1 - r)^t

Where

A represents the value of the investment after t weeks.

t represents the number of weeks.

P represents the initial value of the investment.

r represents rate of depreciation.

From the information given,

A = $142.40

r = 11% = 11/100 = 0.11

t = 1

Therefore

142.40 = P(1 - 0.11)^1

142.40 = P(0.89)

P = 142.4/0.89

P = 160

For her to have half of what she invested originally, then

80 = 160(0.89)^t

80/160 = (0.89)^t

0.5 = (0.89)^t

Taking log of both sides to base 10

Log 0.5 = log0.89^t = tlog0.89

- 0.3010 = - 0.051t

t = - 0.3010/- 0.051

t = 5.9

Approximately 6 weeks

5 0
3 years ago
Can anyone do the top problem for me?
kolezko [41]

Answer:

C

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
4232 divided by 18 also estimate
igomit [66]
4232 divided by 18 equals 235.1
6 0
3 years ago
-4=b/2 <br> a)-8<br> b)-2<br> c)2<br> D)8
Kitty [74]
Answer : A {-8}

-4 = b/2

-4 *2 = b

-8 = b
7 0
3 years ago
Consider the two functions:
Mademuasel [1]

Answer:

  g(0) > f(0)

Step-by-step explanation:

Evaluate the functions at the point of interest: x=0.

  g(0) = 20·1.5^0 = 20·1 = 20

  f(0) = -40 . . . . from the table

Since 20 > -40, we conclude ...

  g(0) > f(0)

8 0
3 years ago
Other questions:
  • Don't get any of these
    11·1 answer
  • What is the square root of 979???​
    9·1 answer
  • Solve for a.
    11·2 answers
  • There are 16 books on a shelf. 7 of these books are new. (a) What is the ratio of new books to used books? (b) What is the ratio
    12·2 answers
  • Jeremiah opened a savings account with a one time deposit of $500. His savings account will pay a 5% simple interest per year. H
    11·2 answers
  • The shorter leg of a right triangle is 18 meters. The hypotenuse is 6 meters longer than the longer leg. Find the length of the
    7·1 answer
  • 26) One third of the students earned an A on the test. If 9 of the students earned an A, how many students are there in total?
    11·2 answers
  • Iteration question please help
    15·1 answer
  • Please help it’s due in ten minutes!!!
    9·1 answer
  • 8×3/4×3/4×8×3/4 Help me please. ​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!