Part A: If (6^2)^x = 1, what is the value of x? Explain your answer.

Part B: If (6^0)^x = 1, what are the possible values of x? Explain your answer.

Answers

Answer 1

Step-by-step explanation:

A.

[tex](6^2)^x=1\\\\36^x=1\\\\36^x=36^0\Rightarrow x=0[/tex]

Every number to the power of 0 gives us 1

[tex]a^0=1\ \text{for}\ a\in\mathbb{R}[/tex]

B.

[tex](6^0)^x=1\\\\1^x=1\\\\x\in\mathbb{R}[/tex]

1 to the any power gives us 1.

[tex]1^n=1\ \text{for}\ n\in\mathbb{R}[/tex]


Related Questions

someone help with this ASAP I HAVE FEW MINS !!!

Answers

Answer:

Symmetric

Step-by-step explanation:

Solve the equation.

24 – 3x = 2x – 1

A. x = 4
B. x = 5
C. x = 6
D. x = 25

Answers

the answer is D. x= 25

Type the missing number in this sequence: 50, 42, 34, 18, 10, 2 what comes after 34?​

Answers

Answer:

The answer is 26 is after 34.

The pattern is x - 8 = y.

Step-by-step explanation:

Good luck! <3

Which list is in order from least to greatest?

Answers

Answer: A

Step-by-step explanation:

Scientific notation exponents are in order from least to greatest and 8.1 > 6

Write an expression that is equivalent to three over five (3y + 15). (4 points)

A three over five y + 9

B three over five y + 15

C nine over five y + 9

D nine over five y + 15
HELP ASAP

Answers

Answer:

The equivalent to three over five (3y + 15) is nine over five y + 9 ⇒ C

Step-by-step explanation:

Let us solve the question

∵ Three over five means [tex]\frac{3}{5}[/tex]

∴ Three over five (3y + 15) = [tex]\frac{3}{5}[/tex] (3y + 15)

→ By using the distributive property, multiply each term inside the

   bracket by three over 5

∴  [tex]\frac{3}{5}[/tex] (3y + 15) =  [tex]\frac{3}{5}[/tex] (3y) + [tex]\frac{3}{5}[/tex] (15)

→ Multiply three over five by 3y

∵  [tex]\frac{3}{5}[/tex] (3y) =  [tex]\frac{3(3)}{5}[/tex] (y) =  [tex]\frac{9}{5}[/tex] y

→ Multiply three over five by 15

∵  [tex]\frac{3}{5}[/tex] (15) =  [tex]\frac{3(15)}{5}[/tex] =  [tex]\frac{45}{5}[/tex] = 9

∴  [tex]\frac{3}{5}[/tex] (3y) + [tex]\frac{3}{5}[/tex] (15) = [tex]\frac{9}{5}[/tex] y + 9

∴ [tex]\frac{3}{5}[/tex] (3y + 15) =   [tex]\frac{9}{5}[/tex] y + 9

The equivalent to three over five (3y + 15) is  [tex]\frac{9}{5}[/tex] y + 9

c please give 4 stars :)

The sales tax on a $12,000 car is 4%. How much money do you spend on taxes to buy the car?

Answers

Answer:

With just sales taxes its $480 in taxes

Step-by-step explanation:

$12,000 x .04 = 480

Which features describe the graph?

Select all that apply.

Answers

Answer:

A and B

Step-by-step explanation:

The domain is correct, and the range is accurate as well: the other two do not apply to this graph (they have incorrect values).

the features would be domain and range

How can you tell when an equation in one variable has infinitely many solutions or no solution?

When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You also will end up with a true statement for an equation with infinitely many solutions.

When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will also end up with a false statement for an equation with infinitely many solutions.

When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions.

When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You will end up with a false statement, like 0 = 2 for an equation with infinitely many solutions.

Answers

The equation will not have an equal sign because that’s what represents an equation

Answer: How can you tell when an equation in one variable has infinitely many solutions or no solution?

When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You also will end up with a true statement for an equation with infinitely many solutions.

When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will also end up with a false statement for an equation with infinitely many solutions.

When you solve for the variable, you will end up with a false statement, like 0 = 2, for an equation with no solution. You will end up with a true statement, like 2 = 2 for an equation with infinitely many solutions.

When you solve for the variable, you will end up with a true statement, like 2 = 2, for an equation with no solution. You will end up with a false statement, like 0 = 2 for an equation with infinitely many solutions.

Step-by-step explanation:

There you go homies

What is the value for y in the following expression y=-2x+8 when x=20

Answers

Answer:

y = -32

Step-by-step explanation:

[tex]y=-2x+8\\\\x=20[/tex]

Substitute ; x =20 in given equation

[tex]y =-2(20 )+8\\\\y = -40+8\\\\y = -32[/tex]

plug in 20 for x. y=-2(20)+8; y= -32

Help me plz!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

-2

Step-by-step explanation:

-2+5=3

|u+5=3| subtract 5 from both sides |u=3-5| add like terms |u=-2| check: |-2+5=3|

hope this helped!!

Solve this question. Show the work.​

Answers

Answer:

1. 36°

2. 36°

3. 54°

Step-by-step explanation:

help asap
show work
i will make u brainlest.

Answers

Answer:

1. A

2. D

3. A

4. A

Step-by-step explanation:

Question 1:

Switch sides:

5(5 + 4v) > 105

Divide both sides by 5:

5(5 + 4v) / 5 > 105/5

Simplify:

5 + 4v > 21

Subtract 5 from both sides:

5 + 4v - 5 > 21 - 5

Simplify:

4v > 16

Divide both sides by 4:

4v/4 > 16/4

Simplify:

v>4

Question 2:

Expand:

5m - 3m - 6 < 24 - 3m

Add similar elements:

2m - 6 < 24 - 3m

Add 6 to both sides:

2m - 6 + 6 < 24 - 3m + 6

Simplify:

2m < -3m +30

Add 3m to both sides and simplify:

5m < 30

Divide both sides by 5:

5m/5 < 30/5

Simplify:

m<6

Question 3:

Expand:

18x + 12 ≤ -39 + x

Subtract 12 from both sides and simplify:

18x ≤ x - 51

Subtract x from both sides and simplify:

17x ≤ -51

Divide both sides by 17 and simplify:

x ≤ -3

Question 4:

Add similar elements:

-3m + 5m = 2m

Expand and simplify:

2m ≥ -12m

Add 12m to both sides and simplify:

14m ≥ 0

Divide both sides by 14 and simplify:

m ≥ 0

Need help filling out the chart for #3

Answers

Answer:

Slope intercept equation= y2-y1 over x2-x1

When to use= You know the slope and any point

Write the ratio 12 dollars for 3 tickets as a unit rate

Answers

Answer:

12:3

Step-by-step explanation:

The unit rate would be 12:3

The slope of the line below is -5/7. write a point slope equation of the line using the coordinates of the labeled point

Answers

need the coordinates to be able to answer

Janice is making plans for her company party. She has a budget of $100 ta
spend. She plans to buy pizza for $12 each, but there will also be a $4
delivery charge. How many pizzas can she afford to buy?

1. Write the equation: ______
2. Janice can buy ___ pizzas for the party.

PLEASE HELP! <3

Answers

She can spend exactly $100 because she can buy 8 pizzas with a 4 dollar delivery charge

Give an example of a real number that is not rational.

Answers

Answer:

A not rational number is called a irrational number btw. Anyway Some examples are √2 and pi.

if C (-6,4) is rotated 180 degrees around the origin, the image point C’ would be ?

Answers

Answer:

6,4

Step-by-step explanation:

10 points
The cost of renting is $25 per day plus a one-time insurance fee of $50.
Write and solve an inequality to find how many days can the car be
rented if the total cost is to be no more than $475.

Answers

Answer - 17 days

We know that the total cost cannot be greater than 475. So set the equation 25x+50=475. Now solve for x. You should get x=17 as your answer.

Y varies directly with the square of X and when Y= 80, X=4

Answers

Answer:

Whats the question?

Step-by-step explanation:

???

Answer:

y=5x^2

Step-by-step explanation:

(4x5)3

Using the exponential notion and simplify pls

Answers

Evaluate or simplify?
It would be 8000 I think. I’m sorry if it’s wrong!

Mark is deciding between two packages of cheddar cheese. Cheetah Chedda is $4.80 for 16 ounces. Moo Valley is $4.20 for 12 ounces. How much more does Moo Valley cost per ounce?

Answers

Answer:

$0.05

Step-by-step explanation:  first, divided $4.80 and 16= $0.30. Then, divided $4.20 by 12= $0.35. And subtract your two answers

Moo Valley's cost per ounce is $0.05 per ounce more than the  Cheetah Chedda cost of per ounce.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Cheetah Chedda cost per ounce = 4.80 / 16 = $0.3 per ounces
Moo Valley cost per ounce = 4.20 / 12 = $0.35 per ounces

Thus, Moo Valley's cost per ounce is $0.05 per ounce more than the  Cheetah Chedda cost of per ounce.

Learn more about arithmetic here:

https://brainly.com/question/11424589

#SPJ2

(4.7 x 107) + (3.4 x 10)

Answers

Answer:

536.9

Step-by-step explanation:

please help please solveit​

Answers

Not 100% sure but I think it’s d

Multiply. (2/5)(−5/4) Enter your answer as a fraction, in simplest form, in the box.

Answers

Answer:

[tex]\frac{2}{5}[/tex]×[tex]-\frac{5}{4}[/tex]=[tex]-\frac{10}{20}[/tex]=[tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

2×5=10

5×4=20

add "-"

simplest

10÷10=1

20÷10=2

add "-"

Ans: -1/2 ([tex]-\frac{1}{2}[/tex])

Answer:

it is -1/2

Step-by-step explanation:you can trust me i did the quiz.

Please help ;^;^;^;^;​

Answers

Answer:

-5

Step-by-step explanation:

The numbers went from -9t to -8t That means 1t=-5

Answer:

t = -5

Step-by-step explanation:

-9t - 5 = -8t

+-9. +-9

-5 = t

Antonio's dad bought gas for their family's ATV two weeks in a row. Last week, he bought 12 gallons for $35.40. This week, he bought 9 gallons for $25.83. How much more did Antonio's dad pay per gallon last week?

Answers

Answer: 0.08

Dont belive the dummy that said 0.30

Antonio's dad paid $ 0.08 per gallon more for the last week as compared to this week.

Given information:

Antonio's dad bought gas for their family's ATV two weeks in a row.

Last week, he bought 12 gallons for $35.40.

This week, he bought 9 gallons for $25.83.

So, the cost of one gallon for last week is,

[tex]\dfrac{35.40}{12}=2.95\$\rm\;per\;gallon[/tex]

The cost of one gallon for this week is,

[tex]\dfrac{25.83}{9}=2.87\$\rm\;per\;gallon[/tex]

So, the extra charge paid by his dad for the last week for one gallon will be,

[tex]2.95-2.87=0.08\$\;\rm per\;gallon[/tex]

Therefore, Antonio's dad paid $ 0.08 per gallon more for the last week as compared to this week.

For more details, refer to the link:

https://brainly.com/question/13599569

To make concrete, a person mixes 1 bag of cement to 4 bags of sand. How many bags of cement should be used with 100 bags of sand?

Group of answer choices

Answers

The answer would be 25 bags of cement to 100 bags of sand by dividing 100 by 4.

It is 25 because you divide 100 by 4

Question 3 of 10
If f (x)= 2(x)2 +5(x+2), complete the following statement:
f(2)=
Answer here

Answers

Answer:

f(2) = 28

Step-by-step explanation:

f(x) = 2(x)2 + 5(x+2)

f(2) = 2(2)2 + 5(2+2)

= 4.2 + 5(4)

= 8 + 20

= 28

hope this help you

Answer:

x = 1.6666666667

Step-by-step explanation:

x = 2×2 + 5x + 10

= 2x + 5x + 10

-10= 2x+ 5x - x

-10=6x

1.6666666667 = x

x= 1.6666666667

The angle o represents the phase shift, determined by the initial conditions of the experiment or the position of the weight at t = 0. If the weight is at its maximum positive position (weight is above equilibrium) at t = 0, then o = 0. If the weight is at its maximum negative position (spring is stretched and weight is below equilibrium) at t = 0, then o = pi. If the weight is traveling in the negative direction and passing through equilibrium at t = 0, then o = pi/2. In the response box, describe the initial condition of our experiment; specifically, describe the position of the weight and the direction in which it was traveling.

Answers

Answer

 initially t=0 => c2sin(0)+c1cos(0) => y=0+c1 =>  y=0+5 => y=5

The weight was approaching the equilibrium position from the positive direction. The weight was on its way down, with the spring stretching

Step-by-step explanation:

c1=5

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