if 3^-x=2 what does 3^2x equal?

Answers

Answer 1

Answer:

nice question...

so here we go

3^ -x = 1 / 3^x

so 1/ 3^x = 2 so 3^x = 1/2

we can write 3^2x as 3^x multiplied by 3^x right?..(law of exponents)

recall that 3^x =1/2

so now according to question we have to find the value of 3^2x =  1/2 * 1/2 = 1/4

Step-by-step explanation:

Answer 2

The given expression is an application of an exponential equation. The result shows that [tex]3^{2x} = \frac{1}{4}[/tex] if [tex]3^{-x}=2[/tex]

Given that [tex]3^{-x}=2[/tex]

This can also be expressed as [tex]\frac{1}{3^x} =2\\[/tex]

Cross multiply

[tex]\frac{1}{3^x} =2\\3^x = \frac{1}{2}[/tex]

Take the square root of both sides

[tex](3^x)^2 = (\frac{1}{2} )^2\\3^{2x} = \frac{1}{4}[/tex]

The result shows that [tex]3^{2x} = \frac{1}{4}[/tex] if [tex]3^{-x}=2[/tex]

Learn more here: https://brainly.com/question/16088078


Related Questions

x/3a*x/4a
________
x/8a​

Answers

Step-by-step explanation:

First let's simplify the upper part which is without x/8a

3a/x multiply xa/x

3a xa

__ x __

x x

x the denominator of 3a is cancelled with the x from xa the numerator.

that leaves us with

3a × a

__

x

we get 3a squared divided by x =

3a^2

____

x

now since we're dividing it with x/8a

3a^2 x

____ ÷ _____

x 8a

we change the sign ÷ to x so we flip the x/8a

3a^2 8a

_____ x ____

x x

8x3 = 24

a^2 x a = a^3

x multiply x = x^2

the final answer

24a^3

_____

x^2

I NEED HELP ASAP ! PLS!

Answers

Answer:

x = 106°

Step-by-step explanation:

sum of interior opposite angles of a triangular is equal to a exterior angle

= x +22= 40 +88

= x = 128- 22

x = 106 °

hope this answers will be helpful for you and plzzz mark my answer as brainlist plzzzz vote me also.....

A proportional relationship can have a negative or positive unit rate.
True or False

Answers

Answer:

true :)

Step-by-step explanation:

hope this helps <3

Find the value of k, if x + 3 is a factor of 3x² + kx + 6. *

Answers

Given:

Polynomial = P(x) = 3x² + kx + 6

Factor of the ablove polynomial = (x+3)

To Find:

Value of K, for which (x+3) become the factor of P(x) = 3x² + kx + 6

Solution :

Now,

x + 3 = 0

⇒x = (-3)

So,

As (x+3) is a factor so x = (-3) is one root of the polynomial.

Therefore,

P(-3) = 0

→ P(-3) = 3(-3)² + k(-3) + 6 = 0

→ 3(9) - 3k + 6 = 0

→ 27 - 3k + 6 = 0

→ 27 + 6 - 3k = 0

→ 33 - 3k = 0

→ - 3k = -33

→ k = -33 ÷ -3

→ k = 11

Hence,For the value of k = 11, (x+3) is a factor of 3x²+ kx + 6

V E R I F I C A T I O N :

3x²+ kx + 6, by putting the value of k = 11 and taking -3 as root the remainder should be zero

→ 3x²+ 11x + 6

→ 3(-3)² + 11(-3) + 6

→ 3(9) - 33 + 6

→ 27 - 33 + 6

→ 27 + 6 - 33

→ 33 - 33

→ 0

Hence verified !

Your bill at a restaurant is $36.00. How much tip should you leave if the average amount for a tip is 15%?

Answers

Answer:

$5.40

Step-by-step explanation:

Hoped I helped! Im Eve btw. Have an amazing day and consider marking this brainliest if you do thank you in advanced!

36.00 * .15 equals 41.40

Plz help correct answer gets brainliest.

Answers

whats the question?????

Answer:the question is chemistry and the sander is math

Step-by-step explanation:

I WILL GIVE YOU BRAINLIST HURRY

Which expression is equivalent to 3(2x+1)−(x−1)
?
A
3x+6
B
5x+2
C
5x
D
5x+4

Answers

Answer:

b

Step-by-step explanation:

3(2x+1)-(x-1)

\ / / /

5x+2

Answer:

fgcgfcgchgcchcgccghccghcgcghgghcgchchchgcgcghchgchg

Step-by-step explanation:

The table shows the width and length of different pictures that Shakira has enlarged for the school yearbook:

Enlarged Picture
2 5
4 10
6 15


Based on the table, what is the length of a picture that has a width of 18 inches?
A:36
B:38
C:45
D:90
I really need help pls and thx

Answers

Answer:

If the left column is the width then the length is 45

If the right column is width then the length is 7.2

Step-by-step explanation:

ratios

A large aquarium should contain 10,000 liters of water when it is filled correctly. Fish will get sick if the aquarium gets down to 4,000 liters or less. One day over the weekend, there is an accident, and the tank cracks in 4 places, causing water to empty out of the aquarium at a rate of 20.5 liters per hour. The aquarium workers did not catch the leaks until 2 days later. How much water was left in the tank when the aquarium workers finally caught the leak? Based on the level of water, were fish sick?

Answers

Answer:

9016 litres left

Step-by-step explanation:

The fish were not sick.

You would multiply 20.5 by 48 which is the amount of hours in 2 days then subtract that amount from 10000 to see how much is left

Write the simplest polynomial function for each set of zeros

Zeros = 0, 1, -1, 5

Answers

Answer:

f(x) = x^4 - 5x^3 - x^2 + 5x should be the answer

Step-by-step explanation:

x = 0 1 -1 5

x = 0

x - 1 = 0

x + 1 = 0

x - 5 = 0

f(x) = x (x - 1) (x + 1) (x - 5)

(x - 1) (x - 5) = x(x) - 1(x) - 5(x) - 1(- 5)

x^2 - x - 5x + 5

f(x) = (x^2 - 6x + 5) (x + 1)

x^2(x) - 6x(x) + 5(x) + x^2(1) - 6x(1) + 5(1)

x^3 - 6x^2 + 5x + x^2 - 6x + 5

f(x) = (x^3 - 5x^2 - x + 5) x

x^3(x) - 5x^2(x) - x(x) + 5(x)

f(x) = (x^4 - 5x^3 - x^2 + 5x)

Answer:

y = x^4 - 5x^3 - x^2 + 5x

Step-by-step explanation:

hope i helped

-3a+4=-14
All work shown please

Answers

Answer:

a=6

Step-by-step explanation:

subtract 4 from both sides

-3a+4-4=-14-4

simplify

-3a=-18

divide both sides by -3

-3a/-3=-15/-3

simplify

a=6

I will mark Brainliest please help

Answers

Answer:

f(x) = 2

Step-by-step explanation:

f(x) represents a linear function since it had the same first differences while the "x" values are evenly space out (which we know could happen only if the function is linear). Now that we determined that the function is linear we have to write the function as an expression.

We know that any linear function has a form of f(x) = mx + b, where "m" is the slope and "b" is the y intercept (y value when x is equal to 0).

As I already mentioned the b will be equal tp the "y" intersect which is equal to the "y" value when x is equal to zero. Luckily in our table they did tell us what will be the "y" value when x is equal to zero, and it is 2. So now we know b = 2.

Then we have have to find the slope which can be found by using the following formula.....

[tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

Now we have to choose two different points from table and let the one that has bigger x value be represented as  [tex](x_{2} , y_{2} )[/tex] and the other one will be represented as [tex](x_{1}, y_{1} )[/tex]. In our case I choose the points (2,2) and (1,2). Now if we represent them as what I mentioned earlier we can substitute their values into the equation that we ca use to find the slope. You should obtain the following.....

[tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} } = \frac{2 -2}{2-1} = \frac{0}{1} = 0[/tex]

Now that we know both the "m" and "b" values we can substitute them into the equation, and we will get he following....

f(x) = mx + b

f(x) = 0x + 2

f(x) = 2

what is 222.567 x 4886.88

Answers

Answer:

bro just look on a caculater

Step-by-step explanation:

1087658.22

Can someone please help me with this one

Answers

Answer:

(-2, 15), (-1, 11), (0, 7), (1, 3), (2, -1)

Step-by-step explanation:

so i just took possible x values and plugged them into the equation, and from there you can solve for y.

Can someone plz tell me the coordinates for D’

Answers

(2,5) is itt dude ur correct

Draw a graph that represents y=3x+2

Answers

Answer:

See drawing below.

Step-by-step explanation:

use the equation y=3x+2 to determine points needed, by substituting in the x values of -1, 0, 1, etc.

plot points

(-1, -1)

(0, 2)

(1, 5)

Please give thanks :)

Here's a graph that represents y=3x+2

plese someone answer me b asap

Answers

Answer:

[tex]\huge\boxed{\sf 9y^2 -22y-24}[/tex]

Step-by-step explanation:

[tex]\sf (3y-1)^2 -(2y+4)^2+(2y-3)(2y+3)\\\\Using \ formula:\\\\1) (a-b)^2 = a^2-2ab+b^2\\\\2) (a+b)^2= a^2+2ab+b^2\\\\3) (a+b)(a-b) = a^2-b^2\\\\Applying \ Formulas\\\\(3y)^2-2(3y)(1)+(1)^2-[(2y)^2+2(2y)(4)+(4)^2]+(2y)^2-(3)^2\\\\9y^2-6y+1-[4y^2+16y+16]+4y^2-9\\\\9y^2-6y+1 -4y^2-16y-16+4y^2-9\\\\Combining \ like \ terms\\\\9y^2-4y^2+4y^2-6y-16y+1-16-9\\\\9y^2 -22y-24\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Answer:

a) [tex]\frac{1}{3}[/tex] k² - 9

b) -7y² - 3

Step-by-step explanation:

a) ([tex]\frac{2}{3}[/tex] k - 6)² - ([tex]\frac{1}{3}[/tex] k + 3)²

  = [tex]\frac{4}{9}[/tex] k² - 36 - [tex]\frac{1}{9}[/tex] k² + 9

  = [tex]\frac{4}{9}[/tex] k² - [tex]\frac{1}{9}[/tex] k² + 9 -36

  = [tex]\frac{3}{9}[/tex] k² - 27

  = [tex]\frac{1}{3}[/tex] k² - 9

____________________________________

b) (3y - 1)² - (2y + 4)² + (2y - 3) (2y + 3)

  = 9y² - 1 - 4y² + 16 + (2y - 3) (2y + 3)

  = 9y² - 4y² - 1 + 16 + (- 3) (4y² + 6y)

  = 5y² + 15 - 12y² - 18

  = 5y² - 12y² + 15 - 18

  = -7y² - 3

Hope this helps!

(NOTE: Do you mind marking me as Brainliest?)

Is (3, 1) a solution to the equation y = 3x?

Answers

Answer:

no

Step-by-step explanation:

it does not fall on the line

Define volume of a cuboid.

Answers

Answer:

Here

Step-by-step explanation:

The volume of cuboid = (Length x Breadth x Height) cubic units = ( l x b x h) cubic units.

The area of a rectangular garden is 6862 m².
If the width of the garden is 73 m, what is its length?

Answers

The length of the rectangle would be 94m.

ANOTHER QUICK ONE !!! ,


Jill drives at a rate of 50 miles per hour for 250 miles. If she plans to drive a total of 450 miles
during her trip, how many hours does she have left to drive at the same rate ?

Answers

Answer:

bsgdhv is the ghj is the most

Answer:

4 more hours.

Step-by-step explanation:

So, to calculate the remaining time Jill has to drive, we have to first find out how much distance Jill has left to cover:

[tex](450 - 250)[/tex] miles

= [tex]200[/tex] miles

So, at a rate of 50 miles per hour, Jill has to drive:

[tex]\frac{200}{50}[/tex] more hours

= [tex]4[/tex] more hours

Hope this helped!

I Need Help Please And Thank You

Answers

C. Yes, because it passes the vertical line test.

What is the sum of the interior angles of a 14 sided polygon?

Answers

Answer:

2160 degrees

Step-by-step explanation:

The general equation to find the sum of interior angles in a polygon is;

[tex](n - 2) * 180[/tex]

Where "n" is the sides of the polygon.

Substitute in 14 for "n"

( 14 - 2 ) * 180

Solve;

( 14 - 2 ) * 180

12 * 180

2160

The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal.

Therefore we do (14-2)*180 which is 2160 degrees .

Are you study of a population of 1200 frogs you feel that sold out of every 180 frogs in the population has spots on the back based on the results of the other study how many frogs in the population do not have spots in the back

Answers

Answer: 1,120 frogs

Step-by-step explanation:

If 12 out of every 180 frogs in the population have spots on their backs, the number that do not are;

= 180 - 12

= 168 frogs

168 frogs out of every 180 do not have spots. Out of 1,200 that would be;

= 168/180 * 1,200

= 1,120 frogs

Solve. 45 + (-5) - 4 + 7
A: 45
B: 0
C: -34
D: 43

Answers

When you add negative, it’s the same as subtracting
45 - 5 - 4 + 7
40 - 4 + 7
36 + 7 = 43
The answer is D. 43

Answer:

D. 43

Step-by-step explanation:

45 + (-5) = 40

40 - 4 = 36

36 + 7 = 43

Jane is studying the weather in Alaska. she recorded the temperature for four days in January, in degrees Fahrenheit, as shown in the table. Jane claims that as the week progressed the temperatures increased from below zero to above zero.

Answers

Answer:

a and c

Step-by-step explanation:

Answer:

I believe its A and D

Step-by-step explanation:

Well Monday had the lowest temperature because its -5

On Wednesday and Thursday the tempature was above 0

and on monday and tuesday the tempature was below

(3x+2) (4x-5) find the value of x

Answers

Answer:

I think the answer is 35x⁴-10

Step-by-step explanation:

3x × 4x=12x²

3x × 5=15x

2 × 4x=8x

2 × -5=-10

15x+8x=23x²

12x²+23x²=35x⁴

35x⁴-10

What is this
y=3x-4

Answers

Answer:

4/3 or 1.3

Step-by-step explanation:

y= 3x-4

To find x- intercept/zero, Substuite y=0.

0= 3 x -4

Move the variable to the left-hand side and change its sign

-3x= -4

Divide both sides of the equation by -3

x= 4/3

(1.3 as a decimal)

Help pls
Jay thinks of a prime number. The sum of its digits is one more than a square number. Write down one number jay could be thinking of.

Answers

Answer:

Jay could be thinking of 11  

Step-by-step explanation:

Prime numbers are the numbers that have two factors only, 1 and itself as

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, .................

All prime numbers can divide by 1 and itself only

∵ A number is a prime number

∵ The sum of its digits is 1 more a square number

The sum of its digits = 1 + x, where x is a square number

→ We will start with the first prime number of 2-digits

11 is a prime number

∵ The sum of its digits = 1 + 1 = 2

→ Substitute it in the equation above to find x

2 = 1 + x

→ Subtract 1 from both sides

∵ 2 - 1 = 1 - 1 + x

1 = x

1 is the square of 1

Jay could be thinking of 11  

You can check some of the other prime numbers to find another number

8. Identify the domain and range to the following relations and state whether or not the relations are functions. State why or why not the relation is a function.

Domain:

Range:

Is this a function? Yes or No? Explain your answer.​

Answers

Answer:

this is not a function because y-values repeat

Step-by-step explanation:

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