Determine the domain and range of the function f(x) = â€""|x| 2. The domain of the function is. The range of the function is.

Answers

Answer 1

The domain of the function f(x)  =  |x|² is the set of all real numbers (-∞ < x < ∞)

The range of the function f(x)  =  |x|² is the set of all real numbers greater than or equal to zero ( f(x) ≥ 0)

The given function is:

f(x)  =  |x|²

This can also be expressed as:

f(x) = x²

This is because the square operator cancels the effect of the absolute value

The function f(x) = x² is valid for all real values of x. Therefore, the domain of the function f(x) is -∞ < x < ∞

The range of the function f(x) is all positive real numbers. This is because the square of all numbers gives a positive number.

Range = f(x) ≥ 0

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Answer 2

Answer:

1. all the real numbers

2. all numbers less than or equal to 2.

Step-by-step explanation:


Related Questions

22.68 ÷ 14.65 ayuden pliss

Answers

Answer:

1.54

Step-by-step explanation:

a)
3
NIX 01/x
b
b)
=
= 8.5

Answers

Answer:

a = 8.5  

Step-by-step explanation:

The graph shows a nonstandard normal distribution curve with
a mean of 59.0 and a standard deviation of 6.7.
Find the area of the shaded region.
.7761
.2177
.3650
.7823

Answers

Using the normal distribution, it is found that the area of the shaded region is of 0.7823.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

The mean is of 59, hence [tex]\mu = 59[/tex].The standard deviation is of 7, hence [tex]\sigma = 7[/tex].

The shaded region is the region to the left of 64.2, hence it's area is the p-value of Z when X = 64.2.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{64.2 - 59}{6.7}[/tex]

[tex]Z = 0.7761[/tex]

[tex]Z = 0.7761[/tex] has a p-value of 0.7823.

The area of the shaded region is of 0.7823.

To learn more about the normal distribution, you can take a look at https://brainly.com/question/24663213

Each week, the price of oranges at the farmer's market increases by 20%.

The price of oranges this week is $4.50.

What was the price last week?

Answers

Answer:

3.6? I don't really know

the probability of selecting a green ball from a bag is a 1 out of 8. If you select 3 balls, what is the probability of at least one of them being green?

Answers

Answer:

3/8

Step-by-step explanation:

simply multiply 1/8 by 3/1

3X1 is 3 and 8X1 is 8 so 3/8

help wanted will mark brainiest

Answers

Answer:

For question a the answer is option  b at 50$

For question b the answer is 50 miles and option a is less

Step-by-step explanation:

x^2-x+2=0
Please use the quadratic formula

Answers

Answer:

[tex]\boxed{\sf x=\cfrac{1\pm \sqrt{-7} }{2}}[/tex]

Step-by-step explanation:

[tex]\sf x^2-x+2=0[/tex]

Use quadratic formula:

[tex]\boxed{\sf \frac{-b\pm \sqrt{b^2-4ac}}{2a}}[/tex]

[tex]\sf a=1, b=-1, c=2[/tex]

___________________________

[tex]\sf x_1,_2=\cfrac{-\left(-1\right)\pm \sqrt{\left(-1\right)^2-4\times \:1\times \:2}}{2\times \:1}[/tex]

[tex]\sf \sqrt{\left(-1\right)^2-4\times \:1\times \:2}[/tex][tex]\sf =\sqrt{-7}[/tex]

_________________

[tex]\sf x_1,_2\cfrac{-\left(-1\right)\pm \sqrt{-7}}{2\times \:1}[/tex]

[tex]\sf -(-1)=1[/tex][tex]2\times 1=2[/tex]

[tex]\sf x_1,_2=\cfrac{1\pm \sqrt{-7} }{2}[/tex]

_______________________________________

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What is this 3(x+2)<4(x−2)

Answers

answer:

x>14

hope this helped

Help me please ******

Answers

Answer:

  it is

Step-by-step explanation:

The parallel horizontal sides are the same length, so the figure is a parallelogram.

Please help I only have an hour. ​

Answers

Answer:

Slope (m) = [tex]\frac{y}{x} = \frac{2}{3} = 0.66666666666667[/tex]

Step-by-step explanation:

[tex]0 = arctan (\frac{y}{x}) = 33.69006752598°[/tex]

X = 4 – 1 = 3

Y = 4 – 2 = 2

[tex]Distance (d) = \sqrt{x^2+y^2}= \sqrt{13} =3.605551275464[/tex]

Equation of the line:

y = 0.66666666666667x + 1.3333333333333

or

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

When x=0, y = 1.3333333333333

When y=0, x = -2

please answer, thank you in advance to whoever does !!!!

Answers

Answer:

B

Step-by-step explanation:

Move it down 3 units, then rotate it.

5184 divided by 27
JUST ANSWER

Answers

Answer:

[tex]5184 \div 27 = 192[/tex]

Step-by-step explanation:

Hope this helps you !!

In a sale, a clothes shop reduces its prices by 30%.
A shirt usually costs $24.
How much is it in the sale?

Answers

Answer:

$16.80

Step-by-step explanation:

30% of 24 and the answer is subtracted from $24

Joe started to save money to purchase a new game console. His savings at the end of the first week included a jar of 468 nickels and dimes. The total value of the coins was $34.40. Which system of equations below would be the best to use to find the number of nickels and dimes Anthony had at the end of the first week?
What is the solution to this equation? 2 x + 3 = x − 4

Answers

The system of equations that can be used to determine the number of nickels and dimes is:

x + y = 468

0.05x + 0.01y = 34.40

Where:

x = number of nickels

y = number of dimes

The equation that can be used to determine the number of nickels and dimes are known as simultaneous equations. Both equations have to be solved together in order to determine the required values.

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explain or show that the point (5,-4) is a solution to this system of equations

Answers

Answer:

You could substitute the point (5,-4) into each equation

Step-by-step explanation:

x=5    y=-4

3x-2y=23

3(5)-2(-4)=23

15+8=23

23=23

2x+y=6

2(5)+(-4)=6

10-4=6

6=6

The points go into each equation which proves that the point (5,-4) is the solution.

(i don't know if I did this right, I apologize if I didn't

i have a very hard question,

what is 1+2

please help asap

Answers

Answer:

The answer is 3.

Step-by-step explanation:

Braden bought a piece of commercial real estate for $101,234. The value of the real estate appreciated at a constant rate per year. The table shows the value of the real estate after the first and second years: Year 1 2 Value (in dollars) $104,271. 02 $107,399. 15 Which function best represents the value of the real estate after t years? f(t) = 101,234(1. 03)t f(t) = 101,234(0. 03)t f(t) = 104,271. 02(1. 03)t f(t) = 104,271. 02(0. 03)t.

Answers

The function that best represents the value of the real estate after t years is: [tex]f(t) = 101234(1.03)^t[/tex]

The table is represented as:

Years  - Values

1          -  $104,271. 02

2         -  $107,399. 15

Appreciation and depreciation are often represented using exponential function as follows:

[tex]f(x) = ab^x[/tex]

At year 1, we have:

[tex]104271. 02 = ab^1[/tex]

[tex]104271. 02 = ab[/tex]

At year 2, we have:

[tex]107399. 15 = ab^2[/tex]

Divide both equations

[tex]\frac{107399.15}{104271.02} = \frac{ab^2}{ab}[/tex]

[tex]1.03 = b[/tex]

Rewrite as:

[tex]b = 1.03[/tex]

He bought the real estate for $101,234.

So, we have:

[tex]a = 101234\\[/tex]

Substitute values for (a) and (b) in [tex]f(x) = ab^x[/tex]

[tex]f(x) = 101234(1.03)^x[/tex]

Replace x with t

[tex]f(t) = 101234(1.03)^t[/tex]

Hence. the function that best represents the value of the real estate after t years is: [tex]f(t) = 101234(1.03)^t[/tex]

Read more about exponential functions at:

https://brainly.com/question/12940982

Help me please ;-;

For the function y = 4x – 2, what is the value of the function when x is equal to -3?

A. -10
B. 14
C. -14
D. 10

Answers

Answer:

-14

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

y=4x - 2                                  x= -3

y=4(-3) - 2

y= -12 - 2

y= -14

Can someone help please !

Answers

Answer:

2

Step-by-step explanation:

[tex]16^{\frac{1}{4} }[/tex] can be rewritten as [tex]\sqrt[4]{16}[/tex].

Solve for the 4th root of 16.

16=4*4=(2*2)(2*2)=2

2

just trust me please

What is the area of the figure?

Answers

Answer:

doc

Step-by-step explanation:

sdsc

Find two numbers that round to 387.4 when rounded to the nearest tenth.

Answers

answer:
1. 387.43 (.43 is closest to .4, not .5)
2. 387.41 (.41 is closest to .4, not .5)

hope this helps!

What is the equation of the line that passes through the point (-6, -6) and has a
slope of -1/3?

Answers

Answer:

Step-by-step explanation:

Let's find an equation by starting with the slope intercept form:

y = mx + b

where m is the slope and b the y-intercept (the value of y when x=0).

We are given the slope, so:

y = -(1/3)x + b

Now we need to find a value for b that will force the line to go through point (-6,-6).  We can determine by putting the point (-6,-6) into the equation and solving for b:

y = -(1/3)x + b

-6 = -(1/3)(-6) + b   [Enter the point (-6,-6]

-6 = 2 + b

b = - 8

The equation becomes y = -(1/3)x - 8.

See the attachment.

One week Culver earned $375.50 regular pay and $65.50 overtime pay. His net pay for the week was $230.90. How much did he have withheld for deductions?

Answers

Answer:

He had $210.1 after deductions.

Step-by-step explanation:

Add his regular pay and overtime pay together

$375.50 + $65.50 = $441

Now subtract his net pay from the total that he makes before deductions - with his overtime and regular pay.

$441 - $230.90 = $210.1

The width of the rectangle is 50% of its length. What is the area of the rectangle?

Answers

Answer:

area = length x half of length

Step-by-step explanation:

whatever the length of the rectangle is, replace it with 'length'

for example if the length was 6cm, it would be:

length x half of length = area

6cm x (6/2) = area

6cm x 3cm = area

18cm² = area

2y-7.4y=141.36
solve for y

Answers

2y-7.4y=141.36
-5.4y=141.36
-y=141.36/5.4
y= -26.1777778 or -26.18

I need help with this

Answers

Answer:

5 + 5 = 10

10 + 10 = 20

20 + 20 = 40

40 + 40 = 80

80 is the answer.

To attend a class field trip, each student will have to pay 3$ for a theater ticket and $2.50 for transportation. If there are 200nstudents in the class, how much money will be collected for the field trip?​

Answers

Answer:

1100

Step-by-step explanation:

because everyone will be giving 5.5 dollars and if you multiply that with 200 you get 1100

Answer:

1,100

Step-by-step explanation:

please help me it's important

Answers

Answer:

circumference=2×3.142×radius

radius=16.8÷2=8.4

so,

circumference=52.7856cm

Can someone please help me with this one? Tysm!!

Answers

Answer:

-26

Step-by-step explanation:

well add the negative numbers first so you get

-17-18=(-35)

then you add 9 so its (-35)+9=26

Answer:

Step-by-step explanation:

-17 + 9 +(-18) = -8 -18 = -26 final answer

Employee: "We have a promotion that will allow us to beat our competitors' prices and save you money. Did you notice that our competitor is selling that same item for $150.00?
Customer: "Yes"
Employee: "Our price for that item is $120.00, for a savings of __________."10% 15% 20% 30% 40%

Answers

Answer:

20%

Step-by-step explanation:

120 / 150 = 0.8 or 80%, so the difference is 20%

The discount percentage is 20%.

Given that the competitor is selling an item for $ 150.00, while the price for that item in the store is $ 120.00, the following calculation must be performed to determine the discount percentage:

150 = 100 120 = X 120 x 100/150 = X 80 = X 100 - 80 = X 20 = X

Therefore, the discount percentage is 20%.

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