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
zimovet [89]
3 years ago
9

1/27^-x=81^2x+2 find x​

Mathematics
1 answer:
Umnica [9.8K]3 years ago
7 0

Answer:

Step-by-step explanation:

81

=

3

4

and

27

=

3

3

, so this equation can also be written as

3

4

x

=

3

3

(

x

+

2

)

=

3

3

x

+

6

.

Since the bases are now the same, we can equate exponents to get

4

x

=

3

x

+

6

so that

x

=

6

(technically this equating of exponents requires the fact that exponential functions (with base not equal to 1) are one-to-one functions).

(do u understand?)

You might be interested in
Find the area of the figure. Use 3.14 for A.
Masteriza [31]

Answer:

38.13 m^2

Step-by-step explanation:

the area of a triangle =b*h/2

b=base

h=height

area triangle=(4m*3m)/2=(12m^2)/2=6m^2

the area of a rectangle =b*h

b=base

h=height

area of a rectangle=6m*3m=18m^2

area of a semi circle=(pi*r^2)/2

r=radius

area of a semi circle==(3.14*(3m)^2)/2=14.13m^2

area of the figure=6m^2+18m^2+14.13m^2=38.13m^2

the answer is 38.13m^2

8 0
4 years ago
Yesterday, it took 40 minutes to drive to school. Today, it took 32 minutes to drive to school. What is your percent of change?
Citrus2011 [14]

Step-by-step explanation:

decrease by 20%

xxxxxxxx

4 0
3 years ago
Read 2 more answers
The ratio of boys to girls is 5 to 9. If there are 120 more girls than boys, how many boys are there? Can you please show work o
poizon [28]
5*30 = 150
9*30 = 270
Since the ratio is 5:9 you have to multiply both numbers in the ratio by the same constant.
I just started multiplying by 10, then 20, then 30 until I got numbers that had a difference of 120.
There are 150 boys.
Setting up an equation
5x + 120 = 9x
Solve for x and then multiply the ratio by the x to get the same result.
4 0
3 years ago
PLEASE HELP ASAP!!!! simplify this expression y=0.03y
Elanso [62]

Answer:

103y/100

Step-by-step explanation:

6 0
3 years ago
Simplify: 1 3 x(6x - 1) <br> A) 5 3 x <br> B) 2x - 1 <br> C) 2x - 1 3 <br> D) 2x2 - 1 3 x
My name is Ann [436]
Is the expression 13x(6x-1)
5 0
3 years ago
Other questions:
  • A store buys cans of soda for $.40 each and marks up the price 75%. What is the selling price?
    9·2 answers
  • - 3x – 4y= 2<br>3x + 3y = -3<br> how to solve the system of equations by substituting​
    11·1 answer
  • What is the radius? Esther &amp; jim plan to add a pond to there property. the area of the pond is 11 square meters. A) 3 B)√3 C
    9·1 answer
  • Tammy says the quotient of 793 divided by 6 is 132 r1 . Use multiplicasion to show if Tammy's answer is correct .
    8·2 answers
  • What is 2x+3x= pls help
    14·2 answers
  • At a school carnival, the diameter of the mat of a trampoline is 16 feet and the diameter of its metal frame is 18 feet. What is
    14·2 answers
  • Which equation could have been used to create this function table?
    7·1 answer
  • What fraction of the total number of student choose football to be their favorite sport ??
    12·1 answer
  • Rachelle bought x pounds of fruit for
    8·1 answer
  • Nicole is making tuna salad for her office colleagues. It takes of a pound of canned tuna to make 5 portions of salad. She uses
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!