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
agasfer [191]
3 years ago
7

If

"latex-formula">, prove that f(x) + f(x+1)=4f(x)
Mathematics
1 answer:
SOVA2 [1]3 years ago
8 0

$f(x)+f(x+1) \stackrel{1}{=} 3^x+3^{x+1} \stackrel{2}{=} 3^x+3^x\cdot3^1\stackrel{3}{=}3^x+3\cdot3^x\stackrel{4}{=}4\cdot3^x\stackrel{5}{=}4\cdot f(x)

1) Substitution from definition.

2) We use $x^{a+b}=x^a\cdot x^b

3) We are changing the order of 3 and 3^x.

4) We add 1 and 3 3^x and we get 4\cdot 3^x

5) Substitution from definition (but the other way than at the beginning).

You might be interested in
Which answer is the explicit rule for the sequence 3, 8, 13, 18, 23 ... ?
JulijaS [17]
The answer would be an=-2+5n
8 0
3 years ago
Read 2 more answers
Solve the equation. 4x - x = 4 - 25 ​
Elza [17]

Answer:

x=-7

Step-by-step explanation:

Simplify both sides of the equation then divide by 3

6 0
3 years ago
Read 2 more answers
What's the answer to 9 x (-6)=
MakcuM [25]

Answer:

-54

Step-by-step explanation:

a positive times a negative is a negative always

8 0
3 years ago
Read 2 more answers
73.5 is ________ ones, is _________ tens, is _________hundreds, is _________ thousands; it is also __________ tenths,or ________
atroni [7]

Answer:

dont know

Step-by-step explanation:

rtgw vheth

3 0
3 years ago
12 less the product of an unknown number and three equals -9.
chubhunter [2.5K]
In standard form its written 
3x-12=-9
if you need help solving then here you go as well
3x-12=-9
add 12 to both sides
3x=3
divide both sides by 3 
x=1
4 0
3 years ago
Other questions:
  • The membership in the math club at Rogers Junior High increased by 6% from last year to this year. The president of the math clu
    10·1 answer
  • Use the rules of exponents to evaluate or simplify. Write without negative exponents 8-squr3 is the conjugate of 8+squar 3
    14·1 answer
  • Need help with this one as well please help me !:(
    6·1 answer
  • Describe the effect f will have on the function f(x) = x2.
    9·1 answer
  • Fernando has just turned 52 years old and he has retirement savings in an
    14·2 answers
  • Subtract 6 ounces from 3 pounds.
    9·1 answer
  • Determine whether there is a difference between the two data sets that is not apparent from a comparison of the measures of cent
    5·1 answer
  • How to answer the problem
    12·1 answer
  • How many zeros are in the product 6 times 5 times 10
    5·2 answers
  • PLS HELP 50 PTS
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!