what is the domain of f in the equation f(x)=2(x-1)^2-4

Answers

Answer 1

Answer:

[tex](-\infty, \infty)[/tex]

Step-by-step explanation:

There are no restrictions on the possible values of [tex]x[/tex], because you can square any number.

Because [tex]x[/tex] can be anything, the domain is all reals or [tex]\boxed{(-\infty, \infty)}[/tex] which means [tex]x[/tex] can be any real number.


Related Questions

In the geometric sequence below, what is the common ratio?

Sequence: 64,16,4,1

Answers

9514 1404 393

Answer:

  1/4

Step-by-step explanation:

The common ratio is the ratio of successive terms:

  16/64 = 4/16 = 1/4

The common ratio is 1/4.

Jose graphed the amount of money paid in relation to the Number of avocados bought. Which statement best describes the unit rate for the graph below?

Answers

Answer:

The answer is c : avacodos cost 5.00 each

Step-by-step explanation:

Annual starting salaries for college graduates with degrees in business administration are generally expected to have a population standard deviation of $3,000. Assume that a 95% confidence interval estimate of the population mean annual starting salary is desired. How large a sample should be taken if the desired margin of error is (a) [1 pt] $500

Answers

Answer:

A sample of 139 should be taken.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Population standard deviation of $3,000.

This means that [tex]\sigma = 3000[/tex]

How large a sample should be taken if the desired margin of error is $500?

A sample of n is needed.

n is found when M = 500. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]500 = 1.96\frac{3000}{\sqrt{n}}[/tex]

[tex]500\sqrt{n} = 1.96*3000[/tex]

Dividing both sides by 500

[tex]\sqrt{n} = 1.96*6[/tex]

[tex](\sqrt{n})^2 = (1.96*6)^2[/tex]

[tex]n = 138.3[/tex]

Rounding up:

A sample of 139 should be taken.

having trouble on this ixl

Answers

Answer:

1/2

Step-by-step explanation:

Since they sold 3 cupcakes of each section, it would be a 50/50 chance that the next one would be either.

Maxwell buys a bag of dog food that contains 18 cups of food, Maxwell feeds his dog 1 cups each day. Maxwell says he will be able to feed his dog for 27 days.
correct?

Answers

Answer:

Incorrect

Step-by-step explanation:

Well since there is only 18 cups of dog food he will only be able to feed his dog for 18 days since he feeds his dog 1 cup a day.

Answer:

Incorrect

Explanation:

Maxwell's dog eats one cup of food a day. The bag contains only eighteen cups, so it will feed the dog for eighteen days. There will not be enough food to last Maxwell for 27 days. So, the answer is incorrect.

find the highest common factor of 63 and 81 please no links

Answers

The answer is 9 it’s the most common

Naomi's fish is 40 millimeters long. Her guinea pig is 25 centimeters long.
How much longer is her guinea pig than her fish?

Answers

Explanation 1:

Her guinea pig is

25 cm  long.

25 cm = 250 mm

Her fish is  40 mm long, so her guinea pig is longer than her fish by

25 cm − 40 mm = 250 mm − 40 mm = 210 mm= 21 cm

Explanation 2:

First, lets convert the length of Naomi's guinea pig from cm to mm.

1 cm=10 mm

We can multiply each side of the equation by 25 to obtain the length of the guinea pig in mm.

25 × 1 cm = 25 ×  10 mm

25 cm = 250 mm

Because we have a length of the guinea pig and the fish in a common metric we can subtract the two values: 250 mm − 40 mm = 210 mm The guinea pig is 210 millimeters longer than the fish. Or, if we want to convert this to centimeters we can divide by 10: 210 millimeters 10 = 21 centimeters

Hope this helps have a good day/night!

:21 ezz it is 21 centimeters

Emily ha 6 pounds of grapes. She splits the grapes into smaller 1/3 pound bunches. How many bunches of grapes can she make ?

Answers

Answer:

2

Step-by-step explanation:

2 because 6 multipled by 1/3 is 2 and 2 multipled 3 is 6

During a flu epidemic, 35% of the school's students have the flu. Of those with the flu, 90% have high
temperatures. However, high temperatures are possible for people who do not have the flu. It is estimated that
12% of those without the flu have high temperatures.
If a student has a high temperature, what is the probability that the student has the flu?

Answers

Answer:

0.8015 = 80.15% probability that the student has the flu

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Has high temperature.

Event B: Has the flu

Probability of a student having high temperatures:

90% of 35%(have the flu)

12% of 100 - 35 = 65%(do not have the flu). So

[tex]P(A) = 0.9*0.35 + 0.12*0.65 = 0.393[/tex]

Probability of having high temperatures and the fly?

90% of 35%, so

[tex]P(A \cap B) = 0.9*0.35 = 0.315[/tex]

If a student has a high temperature, what is the probability that the student has the flu?

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.315}{0.393} = 0.8015[/tex]

0.8015 = 80.15% probability that the student has the flu

Decrease £140 by 22%

Answers

Answer:

109.2

Step-by-step explanation:

math

1/8 divided by 5 pls help

Answers

Answer:

1/40

Step-by-step explanation:

Answer:

decimal form- 0.025

fraction form- 1/40

Step-by-step explanation:

The heights of the pine trees in a certain forest are normally distributed, with a mean of 86 feet and a standard deviation of 8 feet.

Approximately what percentage of the pine trees in this forest are taller than 100 feet?

Answers

Answer:

4%

Step-by-step explanation:

PLATO users

4% of the pine trees in this forest are taller than 100 feet.

The heights of the pine trees in a certain forest are normally distributed, with a mean of 86 feet and a standard deviation of 8 feet. Approximately what percentage of the pine trees in this forest are taller than 100 feet to be determined.

What is Statistic?

The statistic is the study of mathematics that deals with relations between comprehensive data.

raw score x = 100 , mean = 86 standard deviation = 8,
The probability of pine trees in the forest being taller than 100 ft is given as,


p = p( x > 100)
[tex]P =P[z = \frac{X - \mu}{\sigma}][/tex]
P = z [ (100-86)/8 ]
P = z [1.5]
P = 0.04004
P = 4.04%

Thus, 4% of the pine trees in this forest are taller than 100 feet.

Learn more about Statistics here:
https://brainly.com/question/23091366

#SPJ2

Each student in her 8th grade math class presented her with a cookie. One-third of the students each gave her an oatmeal cookie, one-sixth of the students each gave her a cinnamon cookie, one-fourth of the students each gave her a chocolate chip cookie, and the remaining 9 students each gave her a peanut butter cookie. How many students are in Mrs Vo's 8th grade math class?​

Answers

Answer:

36. There are 36 students in the class.

Step-by-step explanation:

4/12 oatmeal

2/12 cinnamon

3/12 chocolate

9 peanut

The fractions added together = 9/12

This means the 9 students = 3/12 of the class

3 x 4 = 12

9 x 4 = 36

Answers please and explain

Answers

Answer:

34 divided by pie. so type this in your calculator, 34/3.14 and then theres ur answer when u hit enter

Step-by-step explanation:

type it in the calculator bc i dont have mine rn

Answer:

102

Step-by-step explanation:

Well it says use 3 instead of pi. So (3)(34)

Which is 102

A rectangular shelf with an area equal to x^2-16x+60 square units could have which possible dimensions for length and width

Answers

Answer:

Step-by-step explanation:

x²-16x+60

=x²-6x-10x+60

=x(x-6)-10(x-6)

=(x-6)(x-10)

so dimensions are x-6 and x-10.

If you make $30 every 10 seconds how much would you make in an hour?

Answers

Answer:

$10800

Step-by-step explanation:

Answer:

10800

Step-by-step explanation:

but this person is super rich

Sam had 2/3 of a pie and gave Joe 1/2 of what he had. What fraction of the whole pie does Joe have?

Answers

Answer:

1/6

Step-by-step explanation:

He has 2/3 of a pie, and half of that is gonna be 1/3. If he gives away 1/3, 2/3-1/3=1/6 left because its not a fraction of his original piece that the question is asking for, but the whole pie

Find the value of x.

75°
36°

Answers

Answer:

111 is X

Step-by-step explanation:

So the theroum for any extended angle is to add the two opposite angles.

So if you add the 2 numbers is suppose to be X.

75+36=111

Thats it

EVERYONE HELP SOS SOS I NEED YOUR HELP THIS IS AN EMERGENCY SOS
SOS
SOS

How is X - 5 mathematically different from x > 5?

INCLUDE A REAL LIFE EXAMPLE IN YOUR RESPONSE AND YOU WILL RECEIVE A BONUS POINT AND MARKED BRAINLYEST ​​

Answers

Answer:

The result is different

Step-by-step explanation:

Hope this helps

X equals 5 in the first and x is greater than 5 in the second. This can translate to life by saying you need 5 points to get an 100 or u need to get more than 5 goals to win the game

Silvergrove middle school spent $60 to purchase 4 work books. How many these workbooks can they buy for $90? Solve using unit rates.

Answers

They can buy 6 workbooks with $90. To find the unit rate we simply divide the cost ($60) by the number of books (4). That gives us $15, the cost of 1 workbook. So now to find out how many workbooks can be purchased with $90, we divide 90 by 15. That’s how I got 6 workbooks. Hope this helps.

Solve for x using
multiplication.
cross
X - 2
x3
x + 2
=
4
3
x = [?]

Answers

ANSWER: x= 14 hope this helps

Answer:

x = 14

Step-by-step explanation:

[tex] \frac{x - 2}{3} = \frac{x + 2}{4} [/tex]

=> 4(x-2) = 3(x+2) [Cross Multiplication]

=> 4x - 8 = 3x + 6

=> 4x - 3x = 8 + 6

=> x = 14 (Ans)

2. A CD is marked with a sale sticker saying it is 56% off. The original price is $10.17. What is the sale price?​

Answers

Answer:

4.4748

Step-by-step explanation:

$10.17- 56% = $4.4748

just round it of to 2 decimals

Find the measure of 26.
4 6 = [?]
249
46

Answers

Answer:

Solution given:

<6+24=180[co- interior angle]

<6=180-24=156°

<6=156°

a shipping company charges a cost per pound plus a fixed fee to ship a package. The total cost, f(x), in dollars, of shipping x pounds is modeled by the function shown. f (x) = 4.99x + 5.75 which part of the function represents the fixed fee

Answers

Answer:

5.75

Step-by-step explanation:

Think about it like this, which number is changing with "X" ? Obviously the total f(x) and the number being multiplied by x (the slope) 4.99 so the fixed number is 5.75

In how many ways can 21 be expressed as the sum of 3 prime numbers?

Answers

Answer:

I think by using a prime factor tree

2+2(8)-12=
whats the answer?

Answers

Answer:

2 + 2(8) - 12 =?

2 + 16 - 12 =?

2 + 4 = 6.

Answer:

[tex]2 + 2(8) - 12 \\ = 2 + 16 - 12 \\ = 2 + 4 \\ = 6 \\ \\ 6 \: is \: the \: correct \: answer[/tex]

Hope it helps!

You buy a computer for $749 and a printer for $99 You must also
pay sales tax which is 6% of the cost of your purchases. What is the
total amount paid, including sales tax?

Answers

Answer:

$898.88

Step-by-step explanation:

Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.y=69(0.92)
x

Answers

9514 1404 393

Answer:

  decay; 8% decrease per time period

Step-by-step explanation:

The growth factor is the base of the exponential term. The growth rate is 1 less.

  growth rate = 0.92 -1 = -0.08 = -8%

When the growth rate is negative, it is exponential decay withe the amount of decrease equal to the magnitude of the rate.

A growth rate of -8% represents exponential decay, with a decrease of 8% per time period.

for 20 points and brainliest
What is the surface area of a right circular cylindrical oil can, if the radius of its base is 4 inches and its height is 11 inches?

Answers

Answer:

376.99in³

Step-by-step explanation:

no proof but a g00gle calculator, you're just gonna have to trust me on this one

Answer:

SA = 376.8 in²

Step-by-step explanation:

area of top:

π4² = 50.24 in²

50.24 x 2 = 100.48 in²   (for both ends)

area of side:

circumference = 2 x 4 x π = 25.12 in

area = 25.12 x 11 = 276.32 in²

276.32 + 100.48 = 376.8 in²

giving brainliest !! easy

Answers

Answer:

1664

Step-by-step explanation:

400x2+480+192x2

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