What are the restrictions of the domain gºh?

What Are The Restrictions Of The Domain Gh?

Answers

Answer 1

Answer:

The restrictions partly depend on the type of function.

You can’t divide by  0

You can’t take the square (or other even) root of a negative number, as the result will not be a real number.

In what kind of functions would these two issues occur?

the function is a rational function and the denominator is  

0

for some value or values of x,  

f ( x ) = x + 1 2− x

is a rational function

the function is a radical function with an even index (such as a square root), and the radic and can be negative for some value or values of x.  

f ( x ) = √ 7 − x

is a radical function

The following table gives examples of domain restrictions for several different rational functions.

Hope this helped

Answer 2

Answer:

The answer is 6.

Step-by-step explanation:


Related Questions

What are the solution(s) to the quadratic equation 40 - x2 = 0?
x = +2/10
x = +4/10
x = +25
x = +4/5

Answers

The first option x=+2/10

A store is advertising a sale with 15% off all prices in the store. Sales tax is 8%. Which equation will correctly determine the total cost, C, of buying an item with an original price of p, after the discount and sales tax are included? Select all that apply.

Answers

Answer: 15%-8%=C

Step-by-step explanation:

Answer:

Well, you didnt include answers, but... here's the explanation.

Step-by-step explanation:

Ok so, the sale is 15% off.  As an example, lets use $10 as the original price.  15% off of $10 = 1.5, so we subtract 10 - 1.5 = 8.5.  Now, if the sale tax is 8%, we need to add 8% of 10, which is 0.8 - Now we get our final equation to calculate p, which is 8.5 + 0.8 = P.  8.5 + 0.8 = 9.3, and so the final price after discount AND sales tax are included is $9.3 - Hope this helped.  Mark me as brainliest please :)

Lana is creating a video.Her computer shoes that the video is 184.026 second long. She writes the length of the video in expanded form. Which expression represents the value of one of the digits in the length of Lana video

Answers

Answer: 6 × 1/1000

Step-by-step explanation:

Lana is creating a video. Her computer shoes that the video is 184.026 second long. From the figures, 184.026

1 represents 100

8 represents 80

4 represents 4

0 represents 0 tenths

2 represents 2 hundredths

6 represents 6 thousandths

Therefore, 6 × 1/1000 is the right answer.

The correct expanded form expression for one of the digits in Lana's video length is D. 6 * [tex]\frac{1}{1000}[/tex] which matches the digit 6 in the thousandths place correctly.

Lana's video length is 184.026 seconds. To write it in extended form, we separate each digit by its place value:

1 * 1008 * 104 * 10 * [tex]\frac{1}{10}[/tex]2 * [tex]\frac{1}{100}[/tex]6 * [tex]\frac{1}{1000}[/tex]

Now, let's match the given options to this expanded form:

A. 1 * 1000: This is incorrect because 1 is multiplied by 100, not 1000.B. 2 * [tex]\frac{1}{10}[/tex] : This is incorrect because 2 is multiplied by [tex]\frac{1}{100}[/tex]C. 4 * 10: This is incorrect because 4 is multiplied by 1.D. 6 * [tex]\frac{1}{1000}[/tex] : This is correct because 6 is indeed multiplied by 1/1000.

Therefore, the correct answer is D. 6 * [tex]\frac{1}{1000}[/tex]

Complete question:

Lana is creating a video. Her computer shows that the video is 184.026 seconds long. She writes the length of the video in expanded form. Which expression represents the value of one of the digits in the length of Lana’s video?

A. 1* 1000

B. 2* [tex]\frac{1}{10}[/tex]

C. 4* 10

D. 6* [tex]\frac{1}{1000}[/tex]

The cost of 24 bottles of water cost $6. Which expression shows how to find the cost 10 bottles of water.

Answers

Answer:

2.5

Step-by-step explanation:

Okay so this is just unit pricing I believe.  First we take a look at the info we have.

24 bottles cost $6

We want 10

So what is 24 divided by 6?

Once you have that, it is the unit price.

Since 4 x 6 is 24, what would you use to find 10?

And thats how you find your answer!  Hope this helped.

Have a great day ad stay healthy.

The events committee buys 100 flowers for a school dance the flowers are a combination of carnations an roses. Each carnation costs $0.75 not including tax how many of each type of flower does the committee buy ?

Answers

Answer:

We don't know the price of the roses, so there is not enough information to answer.

Please answer the question below.

Answers

Answer:

D

Step-by-step explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{AB}{AD}[/tex] = [tex]\frac{AC}{AE}[/tex], substituting values

[tex]\frac{m}{m+n}[/tex] = [tex]\frac{p}{p+q}[/tex] → D

what is the probability of at least two coins landing on heads

Answers

Answer:

.25 or 25%

Step-by-step explanation:

.5 × .5 = .25 or 25%

Final answer:

The probability of at least two coins landing on heads can be found by calculating the probabilities for each possible number of heads (2 to 10), and adding them together, or by subtracting the probabilities of 0 or 1 head from 1. Each toss has a 50% chance, and binomial probabilities can be used for detailed calculations.

Explanation:

The question is about calculating the probability of at least two coins landing on heads when tossed multiple times. To solve this type of probability problem, one must consider all possible outcomes and then identify the number of favorable outcomes. Assuming each coin tossed is fair, the chance of landing on heads for any single toss is 50%.

Let's consider tossing a coin ten times. Theoretically, one could get an outcome with any number of heads ranging from 0 to 10. To specifically address the probability of getting at least two heads, you would add up the probabilities of getting 2 heads, 3 heads, ..., up to 10 heads. For example, the probability of getting exactly 2 heads in 4 tosses can be calculated using the binomial probability formula, which in this case would be P(X = 2) = (4 choose 2) * (0.5)^2 * (0.5)^(4-2), and you would perform similar calculations for each number of heads from 2 to 10.

The probabilities for getting 0 or 1 heads can be subtracted from 1 to find the probability of getting at least 2 heads. This approach is often easier than adding up all the individual probabilities for 2 to 10 heads. For instance, the probability of getting at least one (one or two) tail in two flips is P(F) = 3/4, where F is the event of getting at least one tail which includes the outcomes HT, TH, and TT.

Lines I and m are parallel lines cut by the transversal line t Which angle is congruent to <1?

A. <3

B. <6

C. <7

D. <8​

Answers

The correct answer is D. 8

Answer:

6

Step-by-step explanation:

cos(-35°) = _____.

cos 55°
cos 35°
-cos35°
-cos 325°

Answers

Answer:

Cos 35

Step-by-step explanation:

They have the same answer when typed in a calculator

The tip for a $78.00 restaurant bill is 9.20. What is the tip for a $21.50 meal?

Answers

Answer:

$2.54

Step-by-step explanation:

Tips are percentages of the meal prices.  Divide the tip by the meal price to find the percentage that the tip is of the meal.

9.20/78.00 = 0.118 = 11.8%

Multiply the second meal by the percentage calculated.

21.5 × 0.118 = 2.54

The tip for the second meal is $2.54

$2.54 is the answer for this problem

A right rectangular prism has edges measuring 3/4 inch, 1 inch, and 1/4 inch. How many cubes with side lengths of 1/4 would be needed to fill the prism.

Answers

Answer:

The number of cubes needed = 12

Step-by-step explanation:

To know the number of cubes that will be needed to fill the prism, we need to divide the the volume of the right rectangular prism by the volume of the cube.

Mathematically, the volume of the right rectangular prism can be calculated using the formula;

V = whl

where w is the width, h is the height and l is the length.

Plugging the values we have in the question for the right rectangular prism, we have;

V = 3/4 * 1 * 1/4 = 3/16 inch^3

The volume of the cube can be calculated using the formula L^3 where L is the side length

V = 1/4 * 1/4 * 1/4 = 1/64 inch^3

The number of cubes needed to fill the prism is thus;

(3/16) ÷ (1/64) = 3/16 * 64/1 = 3 * 4 = 12

12 small cubes with side lengths of 1/4 inch each are needed to fill the given right rectangular prism.

To find out how many small cubes with side lengths of 1/4 inch are needed to fill a right rectangular prism with edges measuring 3/4 inch, 1 inch, and 1/4 inch, we need to calculate the volume of the prism and divide it by the volume of one small cube.

The volume of the prism is found by multiplying the lengths of its sides:
Volume of prism = (3/4 inch) * (1 inch) * (1/4 inch) = 3/16 cubic inches.

The volume of a small cube with a side length of 1/4 inch is:
Volume of small cube = [tex](1/4 inch)^3[/tex] = 1/64 cubic inches.

To find the number of small cubes needed to fill the prism, we divide the prism's volume by the small cube's volume:
Number of small cubes = Volume of prism / Volume of small cube
Number of small cubes = (3/16) / (1/64)

By simplifying this division, we get:
Number of small cubes = 3/16 * 64 = 12

Therefore, 12 small cubes with side lengths of 1/4 inch each are needed to fill the right rectangular prism.

A culture started with 1,000 bacteria. After 6
hours, it grew to 1,300 bacteria. Predict how
many bacteria will be present after 10 hours.
Round your answer to the nearest whole
number.
P = Aekt

Answers

Answer:

1350

Step-by-step explanation:

1000 to 1100 is an increase of 100 bacteria per 6 hours

100/6 = 16.67 bacteria per hour

16.67 * 15 hours = 250

Total bacteria should be 1100+250= 1350

hope this helps :D

Answer:

1,500 bacteria.

Step-by-step explanation:

I don't know what P=Aekt means but I understand the rest:

Hour 0: 1,000 bacteria

Hour 6: 1,300 bacteria

We can conclude from this evidence that it takes 6 hours to grow 300 new bacteria.

Let's use a ratio

new bacteria : hours

      300          :     6

        50          :      1

       500         :     10

So we get 500 new bacteria after 10 hours. Using our original population of 1,000 and our new added members, we get 1,500 bacteria at Hour 10.

What is the surface area of the triangular prism?

Answers

Answer:

32ft^2

Step-by-step explanation:

because Area of the surface triangle is A = 1/2ap

So its 4 * 16 divided by 2

Tracey ran 1,000 meters in 5 minutes. How many meters/minutes did she run?

Answers

Answer:

200/1

Step-by-step explanation:

1000/5  = 200/1

Y=200(.6)x decay or growth

Answers

decay because the b value is less than 1

which is the simplified form of
n^-6 p^3?

Answers

Answer:

The answer is option 3.

Step-by-step explanation:

Given that the Indices Law is,

[tex] {a}^{ - n} = \frac{1}{ {a}^{n} } [/tex]

For n^(-6)p³ :

[tex] {n}^{ - 6} \times {p}^{3} [/tex]

[tex] = \frac{1}{ {n}^{6} } \times {p}^{3} [/tex]

[tex] = \frac{ {p}^{3} }{ {n}^{6} } [/tex]

Answer:

the answer would be C

Step-by-step explanation:

i had that test

determine the slop of the line passing through (-3,7) and (9,-2)

Answers

the slope is 3/4. you need to find the change of y over the change of x.

What is the surface area of the figure?

Answers

Answer: 14cm^2


Hope it’s helpful

14cm2 is the correct answer

A tabletop in the shape of a trapezoid has an area of 5,106 square centimeters. Its longer base measures 119 centimeters, and the shorter base is 65 centimeters. What is the height?

Answers

A\9

Step-by-step explanation:

Answer:

[tex]55.5cm[/tex]

Step-by-step explanation:

[tex]area \\ 5106= \frac{1}{2} (a + b) \times h \\ 5106= \frac{1}{2} \times (119 + 65) \times h \\ 5106= \frac{1}{2} \times 184 \times h \\ 5106 = \frac{184}{2} \times h \\ 5106 = 92h \\ \frac{5106}{92} = \frac{92h}{92} \\ \\ h = 55.5cm[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Destiny is making a gelatin dessert for a party. She plans
on making 16 servings for every 6 people. If each pan
Destiny uses to make the dessert holds 8 servings, what is
the minimum number of these pans that she needs in
order to make enough to feed 9 people?

Answers

Answer:

multiply it and add see if that's gives u the answer

Final answer:

Destiny needs to prepare at least 3 pans of her gelatin dessert to provide enough servings for 9 people, with each pan holding 8 servings.

Explanation:

Calculating the Minimum Number of Pans Needed

To find out the minimum number of pans Destiny needs to feed 9 people, we need to determine the total number of servings required and then see how many 8-serving pans will cover that need. Destiny plans 16 servings for every 6 people. So for 9 people, we calculate how many servings we would need using a simple proportion:

(16 servings / 6 people) = (x servings / 9 people)
Cross-multiply to solve for x: (16 servings × 9 people) = (x servings × 6 people)
144 servings = 6x servings
Divide both sides by 6: x = 24 servings

Destiny needs 24 servings for 9 people. Each pan holds 8 servings, so the number of pans needed is:

24 servings ÷ 8 servings per pan = 3 pans

Therefore, to make enough gelatin desserts to feed 9 people, Destiny needs at least 3 pans.

A student studies the same amount of time each day for a test. In 4 days, she studied 60
minutes. Which equation shows this relationship? Let x = the number of days.

A- y = 4x
B- y = 15x
C- y = 60x

Answers

the answer is a “ y=4x “

The sum of Emma’s age and her sisters age is 41 years. Emma is 11 years older than her sister. What is Emma’s age and what is her sisters age

Answers

Emma’s age is 26 and her sister is 15 because 26 - 15 = 11 (The age that Emma is older by) and once you add 26 and 15, it equals 41

find the mean and median of the data.

12, 15, 16, 18, 20, 90

please help!!!

Answers

The median is 17. The mean is 28.5. Hope this helps!

A scientist took this picture and concluded that ________.


all stars have the same brightness
all stars show a pattern
not all stars show a pattern
stars are not always visible

Answers

all stars show a pattern

2. 5 − 1/2 x = y m= _______ b=_________

Answers

Answer:

m = -1/2 and b = 2.5

Step-by-step explanation:

The slope intercept form of the equation of a line is

y = mx+b  where m is the slope and b is the y intercept

2.5 - 1/2x = y

Rewriting

y = -1/2x +2.5

The slope is -1/2 and the y intercept is 2.5

m = -1/2 and b = 2.5

A card is drawn from a standard deck of 52 cards and then placed back into the deck. Find the probability that a four is drawn at least once by the third draw. Round your answer to two decimal places.

Answers

Answer:

Your answer is 2/13

Step-by-step explanation:

i wrote it out as kings/aces but, it works the same exact way for your question.

Answer:.88

Step-by-step explanation:

A triangle on a coordinate plane is translated according to the rule 73 5(x,y). Which is another way to write this rule?
(x, y) (x-3, y+5)
(x, y) — (x-3, y-5)
(X,Y) – (x+3, y-5)
(x, y) = (x + 3, y + 5)

Answers

Answer:c

Step-by-step explanation:

URGENT, NEED ANSWERS ASAP

1) Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p
n = 110, x=55, 88% confidence
a. 0.426 < p < 0.574
b. 0.422 < p < 0.578
c. 0.425 < p < 0.575
d. 0.421 < p < 0.579

2) Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p
A study involves 669 randomly selected deaths, with 31 of them caused by accidents. Construct a 98% confidence interval for the true percentage of all deaths that are caused by accidents.
a. 3.29% < p < 5.97%
b. 3.04% < p < 6.23%
c. 2.74% < p < 6.53%
d. 2.54% < p < 6.73%

3) Use the confidence level and sample data to find a confidence interval for estimating the population μ. Round your answer to the same number of decimal places as the sample mean.
A random sample of 130 full-grown lobsters had a mean weight of 21 ounces and a standard deviation of 3.0 ounces. Construct a 98% confidence interval for the population mean μ.
a. 20 oz < μ < 22 oz
b. 21 oz < μ < 23 oz
c. 19 oz < μ < 21 oz
d. 20 oz < μ < 23 oz

4) Use the given degree of confidence and sample data to construct a confidence interval for the population mean μ. Assume that the population has a normal distribution.
n = 30, x = 83.1, s = 6.4, 90% confidence
a. 80.71 < μ < 85.49
b. 79.88 < μ < 86.32
c. 81.11 < μ < 85.09
d. 81.13 < μ < 85.07

5) Use the given degree of confidence and sample data to construct a confidence interval for the population mean μ. Assume that the population has a normal distribution.
Thirty randomly selected students took the calculus final. If the sample mean was 83 and the standard deviation was 13.5, construct a 99% confidence interval for the mean score of all the students.
a. 76.93 < μ < 89.07
b. 76.21 < μ < 89.79
c. 78.81 < μ < 87.19
d. 76.23 < μ < 89.77

6) Use the given degree of confidence and sample data to construct a confidence interval for the population mean μ. Assume that the population has a normal distribution.
A savings and loan association needs information concerning the checking account balances of its local customers. A random sample of 14 accounts was checked and yielded a mean balance of $664.14 and a standard deviation of $297.29. Find a 98% confidence interval for the true mean checking account balance for local customers.
a. $455.65 < μ < $872.63
b. $492.52 < μ < $835.76
c. $493.71 < μ < $834.57
d. $453.59 < μ < $874.69

7) Use the given degree of confidence and sample data to construct a confidence interval for the population standard deviation σ. Assume that the population has a normal distribution. Round the confidence interval limits to the same number of decimal places as the sample standard deviation.
College students' annual earnings: 98% confidence interval; n = 9, x = $3959, s = $886
a. $539 < σ < $1734
b. $598 < σ < $1697
c. $697 < σ < $1156
d. $559 < σ < $1953

8) 41 random samples of monthly electric bill amounts are selected form a normally distributed population. The samples have a mean of $108 and a standard deviation of $5. Construct a 98% confidence interval for the population standard deviation.
a. $1.89 < σ < $2.75
b. $3.14 < σ < $9.02
c. $3.96 < σ < $6.72
d. $4.23 < σ < $6.14

9) Use the given degree of confidence and sample data to construct a confidence interval for the population standard deviation σ. Assume that the population has a normal distribution. Round the confidence interval limits to the same number of decimal places as the sample standard deviation.
Heights of mature White Pine trees: 99% confidence; n = 29, x = 65 ft, s = 8.4 ft
a. 8.27 ft < σ < 8.53 ft
b. 4.23 ft < σ < 10.47 ft
c. 6.22 ft < σ < 12.59 ft
d. 5.73 ft < σ < 10.07 ft

10) Use the given degree of confidence and sample data to construct a confidence interval for the population standard deviation σ. Assume that the population has a normal distribution. Round the confidence interval limits to the same number of decimal places as the sample standard deviation.
The amounts (in ounces) of juice in eight randomly selected juice bottles are:
15.9 15.2 15.3 15.2
15.3 15.8 15.1 15.2
Find a 98% confidence interval for the population standard deviation σ.
a. 0.18 oz < σ < 0.62 oz
b. 0.19 oz < σ < 0.62 oz
c. 0.21 oz < σ < 0.80 oz
d. 0.19 oz < σ < 0.72 oz

Answers

Answer:

1) a. CI = 0.426 < p < 0.574

2) c. CI = 2.74% < p < 6.524%

3) a. CI = 20 < μ < 22

4) c. CI = 81.11 < μ < 85.09

5) b. CI = 76.21 < μ < 89.79

6) d. $453.59 < μ < $874.69

7) d. CI = $559 < σ < $1953.3

8) c. CI = $3.96 < σ < $6.72

9) c. 6.22 ft < σ < 12.59 ft

10) d. 0.19 oz < σ < 0.72 oz

Step-by-step explanation:

The Confidence Interval, CI are given as follows

For the population proportion

[tex]CI=\hat{p}\pm z\times \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}[/tex]

1)  [tex]\hat p[/tex] = 55/110 = 0.5

z at 88% = ±1.56

a. CI = 0.426 < p < 0.574

2)  [tex]\hat p[/tex] = 31/669 = 0.5

z at 98% = ±2.326

c. CI = 2.74% < p < 6.524%

3) Here we have unknown population standard deviation, so we find the t interval

[tex]\bar x[/tex] = 21

n = 130

s = 3.0

Confidence level = 98%

[tex]CI=\bar{x}\pm t_{\alpha/2} \frac{s}{\sqrt{n}}[/tex]

[tex]t_{\alpha /2}[/tex] = ±2.356

CI = 20.380 < μ < 21.62

Rounding up gives;

a. CI = 20 < μ < 22

4) Similarly here we have;

[tex]t_{\alpha /2}[/tex] = ±1.699 and

c. CI = 81.11 < μ < 85.09

5) Here

[tex]\bar x[/tex] = 83

s = 13.5

n = 30

Confidence level = 99%

[tex]t_{\alpha /2}[/tex] = ±2.76 and

b. CI = 76.21 < μ < 89.79

6) In the question, we have

[tex]\bar x[/tex] = $664.14

s = $297.29

n = 14

Confidence level = 98%

[tex]t_{\alpha /2}[/tex] = ±2.65 and

CI = $453.56 < μ < $874.72

d. $453.59 < μ < $874.69

7) The confidence interval for a population standard deviation is given by the following relation;

[tex]\sqrt{\frac{\left (n-1 \right )s^{2}}{\chi _{1-\alpha /2}^{}}}< \sigma < \sqrt{\frac{\left (n-1 \right )s^{2}}{\chi _{\alpha /2}^{}}}[/tex]

Here

n = 9

x = $3959

s = $886

Therefore we have

d. CI = $559 < σ < $1953.3

8) Here we have;

n = 41

x = $108

s = $5

Therefore;

c. CI = $3.96 < σ < $6.72

9) Here we have;

n = 29

x = 65 ft

s = 8.5 ft

Therefore we have

CI = 6.3 ft < σ < 12.73 ft

c. 6.22 ft < σ < 12.59 ft

10) Here we have

n = 8

s = 0.301188123

d. 0.19 oz < σ < 0.72 oz.

Next 3 sequences for 3,-15,75,-375

Answers

Answer:

1,875

-9,375

46,875

Step-by-step explanation:

You're multiplying by -5 every time, so your next three numbers would be 1,875 -9,375 and 46,875

John used 1 3/4   kg of salt to melt the ice on his sidewalk. He then used another 3 4/5  kg on the driveway. If he originally bought 10 kg of salt, how much does he have left?
 
Do not include units (kg) in your answer.

Answers

Answer:

I AM PRETTY SURE IT IS 4.4K

Step-by-step explanation:

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