How do I determine a domain of a function

Answers

Answer 1

Answer:

See below.

Step-by-step explanation:

The domain is the set of numbers that can be substituted into the x-variable.

In a polynomial function of any degree, the domain is the set of real numbers.

If a function has x in the denominator or x in a square root, you must see which values of x make the function undefined, and exclude those values from the domain.


Related Questions

Solve for x in the following:
8x^2 + 6x = -5

Answers

Answer:

No solution or

(-3±[tex]2i\sqrt{31}[/tex])/8

Step-by-step explanation:

To get the solution, move everything to the left side of the equation:

8x²+6x+5 = 0

If you try to factor the equation or graph it, you will see that it will never equal 0.

If you need an imaginary solution you can plug it into the quadratic equation:

-6±[tex]\sqrt{36-160}[/tex] over 16

Simplify and you get

-6±[tex]i\sqrt{124}[/tex] over 16

-6±[tex]4i\sqrt{31}[/tex] over 16

Simplify the fraction and you can get

(-3±[tex]2i\sqrt{31}[/tex])/8

What is the area of the parallelogram?
11 in.
9 in.!

Answers

Answer:

11x9 =99 to find the area of a parallelogram you do base times height

Solve for the inequality -6× - 17> 8× + 25

Answers

Step-by-step explanation:

[tex] - 6x - 17 > 8x + 25 \\ - 6x - 8x > 17 + 25 \\ - 14x > 42 \\ \frac{ - 14x}{14} > \frac{42}{14} \\ - x > 3 \\ x < - 3[/tex]

what is the answer to -4/3p -2/5

Answers

Answer:

Step-by-step explanation:

This expression consists of two fractions that have no common denominator but do have -2 as a common factor in the numerators.

Factoring out the -2, we get:

-2(2p/3 + 1/5)

If you want to go further, we can determine the LCD (which is 15) and then combine the fractions within parentheses:

-2(10p/15 + 3/15)

We could now factor out the 1/15 in each fraction:

-2

---- (10p + 3)

15

Given DOG, find DG. Round your answer to the nearest hundredth.

Answers

Answer:

99.8

Step-by-step explanation:

Answer:

the answer is 8.62

Jordan is using the calculator to find the value of 785 ÷ 5. What key on the calculator should he press first?

Answers

Final answer:

To calculate 785 ÷ 5, Jordan should press the 7 key first, followed by the rest of the digits, the division key, and then 5, concluding with the equals key to get the result.

Explanation:

Jordan should start by pressing the 7 key on the calculator to begin inputting the number 785 in this equation, 785 ÷ 5. As with most calculators, entries are made in the same order they appear in the equation. After entering the entire number 785, Jordan should then press the division (÷) key, followed by the number 5, and finally the equals (=) key to obtain the result.


49 kilometers in 3 minutes =
kilometers in 6 minutes

Answers

Answer:

98

Step-by-step explanation:

When you set it up like this 49/3 (blank)/6 3 x 6 is 2 so 49 x 2 is 98

straight up the answer is 98

someone please answer this for me.​

Answers

Answer:

the answer is 83 degrees

a company buys a sweater for $14 and marks it up 90%. It later discounts the sweater 25%.

find the selling price of the sweater after the markup.

Answers

Answer:

$12.6 after marking it up by 90%

Step-by-step explanation:

Answer:

$12.6 after marking it up by 90%

Step-by-step explanation:

To calculate the markup amount, use the formula: markup = gross profit/wholesale cost. If you know the wholesale cost and the markup percentage, then calculating the gross profit just involves multiplying those two numbers. To get to the final retail sticker price, add the gross profit to the original, wholesale cost.Feb 21, 2017

The image shows parallel lines cut by a transversal. The expressions represent unknown angle measurements. What is the value of x?

Answers

The value of x is 48°. Therefore, the answer is (A) 48.

We can solve for the value of x using the properties of parallel lines and transversals.

**Given:**

* Two parallel lines cut by a transversal.

* Two alternate exterior angles formed by the transversal on the parallel lines:

   * **2x + 2°**

   * **x + 50°**

**Solving for x:**

1. **Alternate Interior Angles:** We know that alternate interior angles formed by a transversal cutting parallel lines are congruent. Therefore:

   - 2x + 2° = x + 50°

2. **Solve for x:**

   - Combine like terms: x + 2° = 50°

   - Subtract 2° from both sides: x = 48°

Therefore, the value of x is **48°.**

Therefore, the answer is (A) 48.

The probable question may be:

The image shows parallel lines cut by a transversal. The expressions represent unknown angle measurements. What is the value of x

A)48

B)51

C)54

D)57​

Which is f(5) for the function -2x

Answers

Given:

Function:

[tex]f(x)=-2 x^{2}+2 x-3[/tex]

To find:

f(5)

Solution:

[tex]f(x)=-2 x^{2}+2 x-3[/tex]

Substitute x = 5 in the above function.

[tex]f(5)=-2 (5)^{2}+2 (5)-3[/tex]

       [tex]=-2 (25)+10-3[/tex]

       [tex]=-50+10-3[/tex]

       [tex]=-40-3[/tex]

       [tex]=-43[/tex]

Therefore, f(5) = -43.

Write 4.135 as a fraction

Answers

The fraction is 4135/1000.

To write the decimal number 4.135 as a fraction, we first observe that the digits 135 are in the thousandths place. Therefore, we can express the decimal as the fraction 4135/1000. This is because the decimal has three decimal places, and each place value to the right of the decimal point represents a power of ten.

When there's an interest in scientific notation, converting fractions into scientific notation may also be required. As an example, a tiny fraction like 0.0000045 would be written in scientific notation as 4.5 * 10^{-6}.

However, the question asks for a simple fraction, not scientific notation. Therefore, 4.135 as a fraction is simply 4135/1000.

The number 4.135 can be written as a fraction in the form of [tex]\frac{4135}{1000}[/tex]. In scientific notation, it can be expressed as 4.135 x [tex]10^{-3}[/tex], as moving the decimal point 0 places leaves the number unchanged.

To write the number 4.135 as a fraction, you first need to recognize that it is the same as 4135 divided by 1000 since there are three digits after the decimal point. Therefore, the fraction form of 4.135 is [tex]\frac{4135}{1000}[/tex]. This fraction can be simplified if desired by dividing both the numerator and the denominator by the greatest common divisor.

In scientific notation, the number 4.135 can be expressed as 4.135 x [tex]10^{-3}[/tex], because the power of 10 that keeps the number in its original form here is 0. Remember that scientific notation is written as a product of a number between 1 and 10 and a power of 10, where the power indicates how many places the decimal point is moved to the right (for positive powers) or to the left (for negative powers). Because the number is more than 1 but less than 10, we can keep it as is with a power of 10 that is 0.

270 inches = how many yards and inches

Answers

Answer:

7 yards and 18 inches

Step-by-step explanation:

270 / 36

Answer:

= 270 inches

=7.5 yards

Step-by-step explanation:

hope we can be friends

can i get the brainliest

The table shows input and output values for a cubic function. What is an approximate zero of the function?

Use the drop-down menus to complete the statements. A zero can be found between input values of blank because blank. One zero of the function is approximately blank.

The first blank or tab is -2 and -1, -1 and 0, 0 and 1, or 1 and 2

The second blank or tab is "the input values contain zeros", "the difference of these values is closest to zero" or "zero falls between the values f(x) for these inputs"

The third blank or tab is -0.9, -0.25, 0.25, or 0.9

What answers are they?​

Answers

Answer:

Answer: first one is -1 and 0

Second one is: zero falls between the values of f(x) for these inputs

Third one is: -0.9

Step-by-step explanation:

A zero can be found between the input values of -1 and 0 because zero falls between the values f(x) for these inputs.

What is Function?

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Cubic functions are functions of the form,

f(x) = ax³ + bx² + cx + d = 0

We have input values and output values for those input values for the cubic function.

A zero of the function is the value of the input when output value equals zero.

When x = -1, f(x) = -0.5

When x = 0, f(x) = 2.5

The value of f(x) = 0 between these input values.

One zero of the function is approximately -0.9, which is more approximate.

Hence the zero of the function lies between -1 and 0.

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4(3r+2)-7x i need help every answer i get is wrong.

Answers

Answer:

12r+8-7x

Step-by-step explanation:

First distribute the 4 into each of the numbers in the parenthesis:

4 x 3r=12r

4 x 2=8

Final answer:

12r+8-7x

Answer:

x>10

SOOO YEAH

Prove that the angle pqr is a right angle
Pls show full working out ty

Answers

Answer:

A missing bit of information is that ABCD must be a rectangle.

First, let's gather some facts:

(1) Angles in a triangle add up to 180.

(2) RQC and PBQ are the same triangles since it is given that their sides are equal.

(3) Also ∠PBQ = ∠QCR are 90° since they are in fact the corners of the rectangle.

(4) ∠PQB, ∠PQR and∠RQC are on the same line, so their sum must be 180°

Putting it all together, we can say for both triangles using (1):

∠RQC + ∠QRC + ∠QCR = 180 and ∠QCR=90 => ∠RQC = 90-∠QRC

∠PBQ + ∠BQP + ∠PQB = 180

Furthermore, since both triangles are equal (2):

∠QRC = ∠PQB

So, ∠RQC = 90 - ∠PQB

Finally, using (4) we can say:

∠PQB + ∠PQR +  90 - ∠PQB = 180.

Simplify that and you get:

∠PQR +  90 = 180

∠PQR =  90

Aiden spins the spinner shown 20 times. His results are shown in the table. What are the experimental and theoretical probabilities for spinning red? A) experimental = 3/4 , theoretical = 1/4 B) experimental = 1/4 , theoretical = 3/4 C) experimental = 1/4 , theoretical = 3/20 D) experimental = 3/20 , theoretical = 1/4

Answers

Answer:D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

cause 1/4th is cause there are four equal areas and 3/20th cause he spun it 20 times but only landed on red three times

also you forgot the photo so here's the photo you needed to put up

shelly wants to earn at least $500 this week.she made $45 babysitting and earns $12.50 per hour at a grocery store.How many hours does she need to work at the grocery store to meet her goal?

Answers

Answer:

36.4 hours

Step-by-step explanation:

500=45+12.50x

455=12.50x

36.4=x

Answer: She has to work at least 37 hours at the grocery store to meet her goal.

Step-by-step explanation:

y=mx+b

500=12.50x + 45

when you solve this equation you get 36.4 which rounds to 37.


evaluate the limit, or state that the limit does not exist. 9n - 3n / 2n
a.9
b. 3
c. limit does not exist
d. 0

Answers

Answer:

3

Step-by-step explanation:

Evaluating the limit of the function 9n - 3n / 2n.

First we factor out n from the numerator of the function to have

F(n) = n(9-3)/2n

Cancelling the variable n at the numerator with the one at the denominator we have:

Iim f(n) = 9-3/2

Iim f(n) = 6/2

Lim f(n) = 3

This shows that the limit of the function given is 3 no matter what the variable x is tending to.

Answer: Option b) 3

Step-by-step explanation:

We want to take the limit of the equation: (9n - 3n)/2n

Let's do it:

[tex]\lim_{n \to \infty} \frac{9n - 3n}{2n} = \lim_{n \to \infty} \frac{n(9-3)}{2n} = \lim_{n \to \infty} \frac{6}{2} = 3[/tex]

Really does not matter where we are looking for the limit, because this is a constant equation, so we have that the correct option is b) 3

what is this please need this 2 x 3

Answers

Answer:

6

Step-by-step explanation:

3+3=6

Answer:

6

Step-by-step explanation:

Step 1:  Multiply

2 * 3

6

Answer:  6

Help please I need help :/

Answers

Answer:

B

Step-by-step explanation:

You cant find the square root of ten. It is a decimal that keeps on repeating. Therefore, it is irrational.

Answer:

B. The irrational number in it is the square root of 10

What is the probability of at least 2 people having the same birthday as you in a class of 29 students?

Answers

Answer:

The chance that the second person has the same birthday is 1/365. To find the probability that both people have this birthday, we have to multiply their separate probabilities. (365/365) * (1/365) = 1/365, or about 0.27%

Brandon is proud of his work in math class he has gotten a 90% on each of the past 5 weekly
quizzes. This week he is feeling sick and was not able to study so he got a 75%. Which statement
below is true?

Answers

unknown

Step-by-step explanation:

please post the answer choices

The sum of nine-tenths and g is two-thirds solve for g

Answers

Answer:

- 7/30

Step-by-step explanation:

9/10 + g = 2/3

So subtract 9/10 from both sides of the equation to get g = -7/30

Thank me later :D

Final answer:

To solve for g, the sum of nine-tenths and g is two-thirds. By multiplying every term by the least common denominator and simplifying, we find that g is equal to -7/30.

Explanation:

To solve for g, we need to isolate g on one side of the equation. Given that the sum of nine-tenths and g is two-thirds, we can write it as an equation: 9/10 + g = 2/3. To eliminate the fraction, we can multiply every term by the least common denominator (LCD), which is 30. This gives us 27 + 30g = 20. Simplifying the equation gives us 30g = -7. Finally, we can solve for g by dividing both sides of the equation by 30, resulting in g = -7/30.

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The probability of a hurricane being within 100 miles of a location in two days is 40%.

Answers

What is the question here


Answer: unlikely

Step-by-step explanation:

the sum of two numbers is 14 there diffrence is 6

Answers

the two numbers are 10 and 4 because 10+4= 14 and 10-4=6

Help would be very much appreciated! Please HELP ME! Thanks

Answers

Answer:

∠ AXC = 170°

Step-by-step explanation:

Since XB bisects ∠ AXC then ∠ AXB and ∠ CXB are congruent, that is

∠ AXB = ∠ ∠ CXB = 85° and

∠ AXC = ∠ AXB + ∠ CXB = 85° + 85° = 170°

AXC-170 is the answers !:)

A baker is putting cupcakes on a tray to cool she puts 3 cupcakes on the first tray 12 cupcakes on the second tray 48 cupcakes on the third tray and 192 cupcakes on the fourth tray what kind of sequence is this

Answers

Final answer:

The sequence shown in this question is an arithmetic sequence with a common difference of 4.

Explanation:

The sequence shown in this question is an example of an arithmetic sequence. An arithmetic sequence is a sequence in which the difference between consecutive terms is always the same. In this case, the difference between each term is 3.

To find the common difference in this sequence, we can divide any term by the previous term. For example, dividing 12 by 3 gives us a quotient of 4, which means the common difference is 4.

Therefore, the sequence is an arithmetic sequence with a common difference of 4.

help me!! study island question

Answers

Answer:

A

Step-by-step explanation:

-5.3 + 1.9= -3.4

A pizza is divided into 16 slices.Elizabeth eats 1/8 of the pizza in 10 minutes at this rate, how many slices can she eat in an hour? How long will it take her to eat the pizza

Answers

Answer:

1/8 of a 16 slice pizza is 2 slices

one hour had 60 minutes

10x6

2x6=12 she would eat 12 slices in a hour

it would take her 80 minutes to eat the whole pizza

8x2=80 minutes

Step-by-step explanation:

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