What is the domain of f(x)=(1/2)^x

Answers

Answer 1

Answer:

Domain: all real numbers

Step-by-step explanation:

The domain of a function is the set of values that x can be replaced with.

In this function, x can be replaced by any real number, so the domain of the function is all real numbers.

Answer 2

Here we need to find the domain of the given function.

We will see that the domain is the set of all real numbers.

The first thing we need to do is to define the domain of a function.

For a given function f(x), we define the domain as the set of possible inputs that we can use on the function.

Usually, we start by defining the domain as the set of all real numbers and then remove from the domain the numbers that cause "a problem" with our function.

Where these "problems" are undefined operations, like the logarithm of a negative number or a zero in a denominator.

Particularly, in our function: f(x) = (1/2)^x

We do not have a denominator that can become zero nor a function that has problems with some given values of x (the exponent of a number can be any real number).

Concluding, because there is no problem with any real value,  we can see that the domain is the set of all real numbers.

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Related Questions

PLEASE HURRYY!! what is this in an exponential form?

Answers

Answer:

I think it is D because 9 times 7 equals 63...


Answer:

The answer is c Hope this helps:)

Step-by-step explanation:


Solving linear combination

Answers

[tex]\underline{+\left\{\begin{array}{ccc}4x+5y=16\\-4x-10y=4\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad-5y=20\qquad\text{divide both sides by (-5)}\\.\qquad\qquad\boxed{y=-4}\\\\\text{Put the value of y to the first equation:}\\\\4x+5(-4)=16\\4x-20=16\qquad\text{add 20 to both sides}\\4x=36\qquad\text{divide both sides by 4}\\\boxed{x=9}\\\\Answer:\ \boxed{x=9\ and\ y=-4\to(9,\ -4)}[/tex]

Sally is 18 years older than her son she was three times as old as he was one year ago how old are they now

Answers

Answer:

Today Sally is 28 years old and her son is 10

Step-by-step explanation:

x= Sally's Age; y= Sally's son age

Sally is 18 years older than her son

x-y=18

And she was three times older

x=3y

Substituting and solving:

3y-y=18

2y=18

Last year they were:

y=9

x=27

This year

y+1=10 ; x+1=28


I hope this will help you it is 54

find MI if MB = x+9 and IB = 2x–7

Answers

Answer:

MI = -x+16

Step-by-step explanation:

MI + IB = MB

MI + 2x-7 = x+9

Subtract 2x from each side

MI + 2x-7 -2x = x+9-2x

MI -7 = -x+9

Add 7 to  each side

MI -7+7 = -x+9+7

MI = -x+16

Final answer:

The length of segment MI can be found by adding the lengths of segments MB and IB together, resulting in MI = 3x + 2.

Explanation:

This problem relates to the concept of line segments in geometry. Line MB and IB are parts of a straight line where M, I and B are points on the line. Given that MB = x + 9 and IB = 2x - 7, we realize that MB + IB = MI.

To solve this problem, you simply add the equations of the two line segments together because the total length segment MI would be the sum of segments MB and IB:

So, MI = MB + IB = (x + 9) + (2x - 7).

Then, simplify the equation by performing the addition:

MI = 3x + 2.

Learn more about Line Segments here:

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the entry fee at a small fair is $1.50 for children and $4.00 for adults . on a certain day 1900 people enter the fair and $4402.50 is collected how many children went to the fair?

Answers

150x + 400(1900-x) = 440250

150x + 760000 - 400x = 440250

250x = 319750

x = 1279

There were 1,279 children.

Simplify 2(x + y) + 3(x + y).

Answers

Answer:

5x+5y

Step-by-step explanation:


an antelope can run at a speed of 61 miles per hour. What is this speed in yards per second? Round to the nearest hundredth.

Answers

20.3 yards per second.

PLEASE HELP! 48 POINTS!




show your work

Answers

Answer:

a.  4y =12x  the constant of variation is 3

Step-by-step explanation:

The equation for direct variation is y=kx

a.  4y =12x

 Divide each side by 4

4y/4 = 12x/4

 y = 3x

This is direct variation and the constant is 3


Equations b ,c, d  all have a constant added which make them something other than a direct variation

Answer:

A Constant of variation is 3

Step-by-step explanation:

Remark

Direct variations have an equation that looks like y = kx There is NO y intercept, or the y intercept = 0. If you solve for the slope of choices B C and D you get a y intercept that is not 0. For example Take C

4y = 5x + 3               Divide both sides by 4 (the coefficient of y)4y/4 = 5x/4 + 3/4     Do the divisiony = 1.25 x + 0.75.0.75 is not zero. This is not a direct variation. The same procedure can be done to B and D with the same results and the same comment.

Solution

Your only possible answer is A

The constant of variation =

4y = 12 x                Divide by 44y/4 = 12x/4           Do the divisiony = 3x                     The coefficient (3) of x is the constant of variation

Jessica needs to make a necklace for 3 of her friends, including her. she wants to use 4.5 inches of string for each necklace. she only has 10 inches of string. How many necklaces can she make and How many more string does she need to buy?

Answers

Answer:

She can make two necklaces with 10 inches. 8 more inches

Step-by-step explanation:


Answer:

She can make 2.2 Necklaces, and needs 3.5 more inches of string.

Step-by-step explanation:

Let's carefully read the problem for information we need.

3 Friends, 4.5 Inches per friend. She only has 10 inches.

If each necklace is 4.5 inches, we need

4.5 (friend one) + 4.5 (friend 2) + 4.5 (friend 3). We can also just take 4.5 * 3 friends and get the same result. This equals 13.5.

But wait! We only have 10 inches... Jessica needs 3.5 more inches of string to be able too complete the 3rd necklace. This is the answer to "How much more string does she need to buy"

---

For "How many necklaces can she make". Well, we know she can't make a full 3 necklaces. We can find out the answer to this by dividing the 10 inches she does have, by the 4.5 inches it takes to make one necklace.

10/4.5=2.2

This means she could make 2 necklaces, and 2/10 (.2) of another necklace before she runs out of string.

What is the following product? (2 square root 7+3 square root 6)(5 square root 2+4 square root 3)

Answers

[tex](2\sqrt7+3\sqrt6)(5\sqrt2+4\sqrt3)\qquad\text{use distributive property}\\\\=(2\sqrt7)(5\sqrt2)+(2\sqrt7)(4\sqrt3)+(3\sqrt6)(5\sqrt2)+(3\sqrt6)(4\sqrt3)\\\\=10\sqrt{14}+8\sqrt{21}+15\sqrt{12}+12\sqrt{18}\\\\=10\sqrt{14}+8\sqrt{21}+15\sqrt{4\cdot3}+12\sqrt{9\cdot2}\\\\=10\sqrt{14}+8\sqrt{21}+15\sqrt4\cdot\sqrt3+12\sqrt9\cdot\sqrt2\\\\=10\sqrt{14}+8\sqrt{21}+(15)(2)\sqrt3+(12)(3)\sqrt2\\\\=\boxed{10\sqrt{14}+8\sqrt{21}+30\sqrt3+36\sqrt2}[/tex]

Answer:  The required product is [tex]10\sqrt{14}+8\sqrt{21}+30\sqrt3+36\sqrt2.[/tex]

Step-by-step explanation:  We are given to find the following product :

P = (2 square root 7+3 square root 6)(5 square root 2+4 square root 3).

We will be using the following property of radicals :

[tex]\sqrt a\times \sqrt b=\sqrt{ab}.[/tex]

The given product can be written and evaluated as follows :

[tex]P\\\\=(2\sqrt7+3\sqrt6)(5\sqrt2+4\sqrt3)\\\\=2\sqrt7(5\sqrt2+4\sqrt3)+3\sqrt6(5\sqrt2+4\sqrt3)\\\\=10\sqrt{7\times2}+8\sqrt{7\times3}+15\sqrt{6\times2}+12\sqrt{6\times3}\\\\=10\sqrt{14}+8\sqrt{21}+15\times2\times\sqrt3+12\times3\sqrt2\\\\=10\sqrt{14}+8\sqrt{21}+30\sqrt3+36\sqrt2.[/tex]

Thus, the required product is [tex]10\sqrt{14}+8\sqrt{21}+30\sqrt3+36\sqrt2.[/tex]

A metalworker has a metal alloy that is 20​% copper and another alloy that is 60​% copper. How many kilograms of each alloy should the metalworker combine to create 80 kg of a 52​% copper​ alloy?

Answers

Answer:

16 kg of I type and 64 kg of II type should be mixed.

Step-by-step explanation:

Given that a metal alloy in original has 20% copper and 80% other metals.

Another mixture contains 60% copper and 40% other metals.

We have to get a new alloy of 80 kg which has 52% copper.

Let us assume that we mix x kg of I alloy and y kg of second alloy.

Then we have x+y = total weight = 80 kg.

x+y = 80   ... (i)

Next condition is that new alloy has 52% copper in it

When we mix x kg of I, and y kg of II, copper content would be

0.2x+0.6y.  This equals 52% of 80 = 41.6

Or Dividing by 0.2 we get

x+3y =208  ... (ii)

(ii)-(i) gives 2y = 128 or y =64 kg

x = 16 kg

16 kg of I type and 64 kg of II type should be mixed.

Verify:

Copper in new alloy = 16(0.2) + 64(0.6) = 3.2+38.4 = 41.6

= 52% of 80

A gardener has a patch of land that measures 96 feet long and 37 feet wide. He has 4 plants in each square foot of the garden. How many total plants does the gardener have in his garden?

Answers

Final answer:

The garden has a total of 14,208 plants, calculated by multiplying the area of the garden (3552 square feet) by the number of plants per square foot (4).

Explanation:

The student asked how many total plants are in a gardener's garden, which measures 96 feet long and 37 feet wide, with 4 plants per square foot. To determine the total number of plants, we must first find the area of the garden by multiplying the length and width.

The area of the garden in square feet is 96 feet × 37 feet = 3552 square feet. Since there are 4 plants per square foot, the total number of plants is 3552 × 4 = 14,208 plants.

match the numbers to the letters for equivelents


1. 3(4x + 2)

2. (2x + 3) - (4x +5)

3. 8x + 5 - x + 4

4. 7(3x - 2)

A. 12x + 6

B. -2x-2

C. 7x + 9

D. 21x-14

Answers

use desmos to find th as t answer

To match the numbers to the letters for the equivalents, we can simplify each expression:

3(4x + 2) = 12x + 6 (A)

(2x + 3) - (4x + 5) = 2x + 3 - 4x - 5 = -2x - 2 (B)

8x + 5 - x + 4 = 8x - x + 5 + 4 = 7x + 9 (C)

7(3x - 2) = 21x - 14 (D)

Matching the numbers to the letters for the equivalents:

Expression 1 is equivalent to option A.

Expression 2 is equivalent to option B.

Expression 3 is equivalent to option C.

Expression 4 is equivalent to option D.

ok i have a few questions please give examples and descriptions as well

1) what is the exponent laws for multiplying and dividing Powers with the same base

2) what is the power of a power law

3) what is the negative and zero exponent laws

Answers

Answer:

1) Multiplying powers with the same base would be product rule. It where you just add the exponents. Dividing powers with the same base would be the quotient rule. Its where you subtract the exponents.

2)Where you multiply the two exponents together

3)The negative law is where for example, if it were in the numerator, then it would be placed at the denominator with a positive exponent whereas if it were in the denominator it would be on the numerator with the positive exponent. The zero law just states the anything to the power to zero is one.

Step-by-step explanation:

1) 3^3 x 3^4 = 3 ^3+4 = 3^7

3^9 ÷3² = 3^9-2 = 3^7

2) (3^2)^2 = 3^2×2 =3^4

3) 1/3^-5 = 3^5                 \

3^-7 =1/3^7

2^0 = 1

The exponent laws for multiplying and dividing powers with the same base involve adding or subtracting exponents, respectively. The power of a power law states you should multiply exponents. Negative and zero exponent laws indicate how to deal with powers that are negative or zero.

In mathematics, especially when dealing with exponents, there are specific laws that streamline the process of multiplication, division, and dealing with different powers. Below are the laws related to your questions:

Multiplying and Dividing Powers with the Same Base

For multiplication: When two powers with the same base are multiplied, you add the exponents. For example, a^m × a^n = a^(m+n).

For division: When two powers with the same base are divided, you subtract the exponents. For example, a^m ÷ a^n = a^(m-n), where a ≠ 0.

Power of a Power Law

When raising a power to another power, you multiply the exponents. This is known as the power of a power law. So, (a^m)^n = a^(m*n).

Negative and Zero Exponent Laws

A negative exponent indicates division by that base and the exponent turned positive, such as a⁻ⁿ = 1/aⁿ. For a zero exponent, any non-zero base raised to the power of zero equals one, signified as a⁰ = 1.

Enter the coordinates for the solution the following system or equations
Y=3x-8
Y=-x-4

Answers

Answer:

(1,-5)

i plugged it into a graphing calc


−2 × 32 − 8 ÷ 2 + 6?

Answers

Answer:

-62

Step-by-step explanation:do multiplication 1st then work out problem left to right.


Karen will divide her garden into equal parts. She will plant corn in 2 8 of the garden. What is the fewest number of parts she can divide her garden into? The fewest number of parts is

Answers

two out of eight will be planted

convert the measurement 479cm

Answers

What form of measurement do we convert it to?

Convert to what? Feet? Inches? Yards? Meters? Please tell me so i can answer this!

1/3(m-1)=-5
Please help

Answers

Answer:

m=-14 I hope this helps u

Step-by-step explanation:


Rolling a number cube twice is a dependent event. True or false Asap

Answers

Answer:

False...there's nothing to depend on when you are expecting a random number out of 2 different rolls of the "number cube".

Hope this helps!! (:


Translate the sentence into an equation. Two less than the product of 5 and a number is equal to 6 . Use the variable w for the unknown number.

Answers

Answer:

i think its 5w -2 =6

Step-by-step explanation:

product is 5w and 2 less than product is 5w-2 which is equal to 6

that is 5w - 2 = 6

Mr Ortiz oversees the distribution centers for a shipping company. He recently introduced new processes at 2 centers which saved the company 2.4 million Mr. Ortiz plans to introduce the same cost saving processes at all 16 of the company's aistrubution centers. What is the total amount of money that the company can be expected to save

Answers

Answer:

19.2 million.  

Step-by-step explanation:

Let us find the amount of savings per center by dividing 2.4 by 2.

[tex]\text{Amount of savings per center}=\frac{2.4\text{ Million}}{2\text{ Center}}[/tex]

[tex]\text{Amount of savings per center}=1.2\frac{\text{ Million}}{\text{ Center}}[/tex]

Hence, the company saved 1.2 million per center.

Let us multiply savings of each center by total number of company's distribution centers to find the total amount of money that the company can be expected to save.    

[tex]\text{Total amount of company's savings}=(1.2\times 16)\text{ million}[/tex]

[tex]\text{Total amount of company's savings}=19.2\text{ million}[/tex]

Therefore, Mr. Ortiz's company will save 19.2 million.

Rosy waxes 2/3 of her car with 1/4 bottle of car wax. At this rate , what fraction of the bottle of car wax will rosy use to wax the entire car ?

Answers

Answer:

8/3 = 1/x or x = 3/8

Step-by-step explanation:

Set up the ratio

(2/3)/(1/4) = 1/x  

solve for x  

 

8/3 = 1/x or x = 3/8

Answer:

Wax required for entire car = 3/8 bottle of wax

Step-by-step explanation:

We have given,

1/4 bottle of car wax can wax 2/3 of her car.

We need to find the wax required to wax her car completely.

Let's derive the relation between wax bottle and car waxing rate:

2/3 of car waxing needs 1/4 of bottle of wax.

for entire car waxing, i.e 1 car waxing needs (1/4) / (2/3) bottle of wax

            wax required for entire car     =    (1/4 )*(3/2)

                                                              =3/8 bottle of wax

At the farm, Justin picks 3 bushels of fruits. The bushels weigh 8 1/4 pounds, 6 1/2 pounds, and 6 5/8 pounds. What is the average weight per bushel?

Answers

ANSWER

[tex]Average \: Weight = 7 \frac{1}{8} \: bushels[/tex]


EXPLANATION

To find the average weight per bushel, we add all the three weight and divide by 3.


[tex]Average \: Weight = \frac{8 \frac{1}{4} + 6 \frac{1}{2} + 6 \frac{5}{8} }{3} [/tex]


We convert all the mixed numbers to improper fraction to obtain,


[tex]Average \: Weight = \frac{ \frac{33}{4} + \frac{13}{2} + \frac{53}{8} }{3} [/tex]


The least common denominator for the fractions in the numerator is 8.


This implies that,

[tex]Average \: Weight = \frac{ \frac{66 + 52 + 53}{8} }{3} [/tex]

This simplifies to


[tex]Average \: Weight = \frac{ \frac{171}{8} }{3} [/tex]


This gives us,

[tex]Average \: Weight = \frac{171}{24} [/tex]



[tex]Average \: Weight = \frac{57}{8} [/tex]


[tex]Average \: Weight = 7 \frac{1}{8} [/tex]

I need help ASAP please!

What is a counterexample for the conjecture?
Conjecture: Any number that is divisible by 2 is also divisible by 4.

A: 32
B: 12
C: 40
D: 18

Answers

Let's go through the list of values and test the claim

Is 32 divisible by 2? Yes because 16*2 = 32. Is it also divisible by 4? Yes because 8*4 = 32. So we can cross choice A off the list

Is 12 divisible by 2? Yes because 6*2 = 12. Is it also divisible by 4? Yes because 3*4 = 12. So we can cross choice B off the list.

Is 40 divisible by 2? Yes because 2*20 = 40. Is it also divisible by 4? Yes because 4*10 = 40. Choice C is also crossed off the list.

Is 18 divisible by 2? Yes because 2*9 = 18. Is it also divisible by 4? No. We can see that by dividing 18/4 = 4.5 which is not a whole number result. Or you can list out the multiples of 4 which are 4, 8, 12, 16, 20 and we see that 18 is not on the list.

So choice D) 18 is the answer. This is a counter example to show that the claim "if number is divisible by 2, then it is also divisible by 4" is a false statement.

The required counterexample for the conjecture is 18. which is the correct answer that would be an option (D).

What is the divisibility rule?

The divisibility rule states that " Divisible By, implies that when two numbers are divided, the result would be a whole number.

For example divisibility rule of 3 is that the sum of the digits should be 3.

A counterexample for the conjecture is 18. This is a counterexample because 18 is divisible by 2 (it is an even number), but it is not divisible by 4.

Therefore, the statement "any number that is divisible by 2 is also divisible by 4" is false, because there are some numbers (like 18) that are divisible by 2 but not by 4.

Thus, the required counterexample for the conjecture is 18.

Hence, the correct answer would be an option (D).

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Who’s is the graph of Y is greater than or equal to

1 - 3x?

Answers

The 1st choice is the ans

49 POINTS! PLEASE HELP, SHOW WORK!

Answers

ANSWER:

y = -2/3x + 2

ABOUT SLOPE INTERCEPT FORM:

y = mx + bm represents the slopeb represents the y-intercept AKA the starting point

You have to isolate or get y by itself:

2x + 3y = 6

-2x           -2x

3y = -2x + 6

3             3

y = -2/3x + 2 --- IN SLOPE INTERCEPT FORM


Hope this helps you!!! :)


Answer:

y=-2/3x +2

Step-by-step explanation:

y=mx+b

2x+3y-6

3y-6=-2x

3y=-2x+6

y=-2/3x+2

Eric has 130 coins consisting of nickels and quarters the coins combined value comes to 15.90

Answers

Answer:

Quarters = 47

Nickels = 83

Step-by-step explanation:

A) N + Q = 130

B) .05N + .25Q = 15.90

Multiplying equation A by -.05 equals

A) -.05N -.05Q = -6.50  then adding this to B)

B) .05N + .25Q = 15.90  Equals

.20Q = 9.40

Quarters = 47

Nickels = 83

.05*83 + .25*47 = 4.15 + 11.75 = 15.90

Gail bought 18 buttons to put on the shirts she makes she uses five buttons for each shirt how many shirts can still make with the buttons she Bought

Answers

Answer:

18 divided by 5 is equal to 3 with a remainder of 3 so she can only make 3 T-shirts

Step-by-step explanation:


Answer:

3 shirts

Step-by-step explanation:

She has 18 buttons. 18 divided by 5 is 3.6

so she can make 3 shirts

A taxicab ride costs $2.50 plus $1.10 per mile. If the total cost of the trip is $21.20, how many miles did the passenger travel? Let x represent the number of miles

Answers

Answer: The passenger will travel 17 miles.

Step-by-step explanation:

Since we have given that

Cost of a taxicab ride = $2.50

Cost of per mile = $1.10

Total cost of the trip = $21.20

Let number of miles the passenger travel be x

According to equation,

[tex]2.50+1.10x=\$21.20\\\\1.10x=\$21.20-\$2.50\\\\1.1x=18.7\\\\x=\frac{18.7}{1.1}\\\\x=17\ miles[/tex]

Hence, the passenger will travel 17 miles.

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