Find the domain of the following piecewise function.


Find The Domain Of The Following Piecewise Function.

Answers

Answer 1

Answer:

[tex](2,8][/tex]

Step-by-step explanation:

Given

The attached piece wise function

Required

The domain

To do this, we simply consider the inequalities that bound the values of x.

The inequalities are:

[tex]2 < x < 4[/tex]     [tex]4 < x < 8[/tex]   and   [tex]x \ge 8[/tex]

Combine the first two inequalities:

[tex]2 < x < 8[/tex]    and   [tex]x \ge 8[/tex]

For the inequality to be true, we must have:

[tex]2 < x \le 8[/tex]

In interval notation, the inequality is:

[tex](2,8][/tex]


Related Questions

which statements are true about the target function? Check all that apply.
tan(PAB) = y/x
tan(APB) = x/y
tan(PAB) = sin(PAB)/cos(PAB)
tan(PAB) = cos(PAB)/sin(PAB)
tan(PAB) = PB/AB

Answers

Answer:

A, B, C, E.

Step-by-step explanation:

.

can someone please help me..

Answers

Answer:

A. It acts perpendicular to an object

It acts perpendicular to an object

Look at pic for question and answer choices.

Answers

the answer would b the 3rd option

Please help me with this, no clue.

Answers

No idea &4!!;;&;!;&;!;’

The sum of the digits in a 2 digit number is 5. If the number is subtracted by 9 then the digits will be reversed. Find the number. If the tens digit is x then what is the equation?

Answers

Answer:

Let ten's place digit =x and unit place digit =y

Number=10x+y

x+y=5 ...(i)

10x+y−9=10y+x

9x−9y=9x−y=1 ...(ii)

from (i) and (ii) we get,

x=3,y=2

∴Number=10×3+2=32.

Step-by-step explanation:

Hope it helps!

Rewrite the following expression.



A.

B.

C.

D.

Answers

Answer:

da

Step-by-step explanation:

If 'a' is a number lying between 0 and 1. then which of the following is in increasing order? a) a², a, √a b) a √a ,a² c) a²,√a,a d) a, a², √a ​

Answers

Hello,

[tex]0\leq a\leq 1 \Longrightarrow 0*a\leq a*a\leq 1*a \Longrightarrow 0 \leq a^2 \leq a\\\\0\leq a^2\leq a \Longrightarrow \sqrt{0} \leq \sqrt{a^2} \leq \sqrt{a} \\\\The\ function\ y=x^2\ is\ increasing\\\\Answer A\\\\ex: a=0.5 \\\\a^2=0.25\\\\\sqrt{a}=\dfrac{\sqrt{2}}{2}\approx{0.7071...}\\\\and\ 0.25\leq 0.5 \leq 0.7071...[/tex]

Hello pls help
Find the volume of this sphere.
Use 3 for 7T.
2 ft
V~ [?]ft
V = 3

Answers

Answer:

volume of the sphere=4/3πr³

=4/3×3×2³

=32 feet³

Answer:

32 ft³

Step-by-step explanation:

Hi there!

[tex]V=\frac{4}{3} \pi r^3[/tex] where r is the radius

Plug in the given radius, 2 ft

[tex]V=\frac{4}{3} \pi (2)^3[/tex]

Plug in the given value of π, 3

[tex]V=\frac{4}{3} (3) (2)^3\\V=\frac{4}{3} (3) (8)\\V=(4)(8)\\V=32[/tex]

Therefore, the volume of the sphere is 32 ft³.

I hope this helps!

Squares of Binomials
Please Help

Answers

16x4=64; so we need two numbers that add up to 16 and their product should be 64. So x=8

Someone help, I suck at math

Answers

option A.55°

Answer:

Solution given:

<x+<y=<z

exterior angle of a triangle is equal to the sum of two opposite interior angle

4n-18+n+8=133-6n

5n+6n=133+10

11n=143

n=143/11

n=13

exterior angle =133-6*13=55°

option A.55°

help please what is the median

Answers

Answer:

The median is 9

Step-by-step explanation:

The median is the number in the middle. The middle of this is 8 and 10, so you plus them and divide by to 2, then it gives 9, so the median is 9.

PLEASE HELP TIMED. Verify which of the following are identities.

Answers

A. both the equations are identities , i’m pretty sure

Can someone help with this please & thank you It’s due tomorrow

Answers

Answer:

[11] x = 3

[12] x = 37

[13] x = 1.2

[14] x = 62

Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points, to the nearest tenth (if necessary).
(8,6) and (5,9)​

Answers

Answer: 69, -69

Step-by-step explanation:

it is easy buddy not lies

If
R = (5+T)P/3
then what is p?

Answers

Answer:

Step-by-step explanation:

R = (5+T)P/3

3R = (5+T)P

3R/ (5+T) = P

[tex]P = \frac{3R}{(5+T) }[/tex]

Heya Kitties! Can someone answer this for me?
3⋅2−1(−10)−3+12?
Thanks!

Answers

Answer:

the answer of the above question is -1.2

someone help me for this algebra task please

Answers

Answer:

The last one is the answer

Answer: For each hour that Michelle drove, she travelled an additional 50 miles.

Step-by-step explanation:

Test each option to see its accuracy

Calculate the slope:

[tex](x_{1}, y_{1}) = (7, 0)\\(x_{2}, y_{2}) = (0, 350)\\ \\\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{350-0}{0-7} =\frac{350}{-7} =-50[/tex]

This means that Michelle drove 50 miles per hour.

The other three options are wrong because if you bring in:

x = 6x = 3

into your function- y = -50x + 350, you would not get the stated miles.

An acute angles measure is
A. Between 0 and 90
B. Between 90 and 180
C. Exactly 90

Answers

Answer: the correct answer is A. Between 0 and 90

If an angle is between 0 and 90 it is acute

If an angle is EXACTLY 90 it is a right angle

If an angle is between 90 and 180 it is obtuse angle

If it's 360 then it is a full circle

GIVE AN EXPLANATION PLEASE! A BRAINLEEST IF TWO OR MORE PEOPLE HAVE ANSWERED IT. (FIRST COME FIRST SERVE BASES + ANSWER HAS TO BE CORRECT)

Lily bought a pair of gloves and a shirt.
The gloves cost £4
She sold the gloves and the shirt for a total of £48
She made 100% profit on the cost of the gloves.
20% profit on the total cost.
Work out her percentage profit on the cost of the skirt.
Answer 1 decimal place.

Answers

The profit percentage = 16.3%

Iff a projectile has a maximum range of 40 metres , find its speed of projection . ([tex]g = 10ms^-^2[/tex])
.[tex]0.5 ms^-^1\\2ms^-^1\\\\4ms^-^1\\\\20ms^-^1\\\\400ms^-^1[/tex]

Answers

its speed of projection is 20 ms^(-1)

Answer:

Solution given:

maximum range=40m

u²sin90°/g=40

u²*sin90°/10=40

u²=40*10

u=[tex]\sqrt{400}=20m/s[/tex]

PLEASE ANSWER QUICK!!! 30 POINTS

The figure has angle measures as shown.
A
19x - 15
26x + 20
D
9x + 25
C
B
What is the measure of ZABD?
O 150°
O 120°
O 70°
O 30°

Answers

Answer is 150°. Work is attached

Answer:

Solution given;

<ABD=<BAC+<ACB

Since exterior angle of a triangle is equal to the sum of two opposite interior angle

26x+20=19x-15+9x+25

solve like terms

26x+20=28x+10

subtracting both by 10

26x+20-10=28x+10-10

Subtracting both side by 26x

10=28x-26x

2x=10

dividing both side by 2

2x/2=10/2

x=5

Now

<ABD=26*5+20=l50°

The value of <ABD is 150°

Kenneth ran a marathon (26.2) miles) in 5.5 hours. What was Kenneth’s average speed? (Round your answer to the nearest tenth.)

Answers

Answer:

4.8 miles per hour.

Step-by-step explanation:

Average speed=Total distance/Time taken

=26.2miles/5.5hour

=4.8 miles per hour

(100 points)


4. MIke divided the group into 5 groups. If there were 28 people in each group how big was the original group?


a. What are they asking for? __________________


b. identify all the necessary numbers. __________________


c. write the equation or problem in numeric form. ______________


d. solve the math. ______________________________


e.write the answer. ______________________________


5. If he difference is 589 and the subtrahend is 339,what is the minuend?


a. What are they asking for? __________________


b. identify all the necessary numbers. __________________


c. write the equation or problem in numeric form. ______________


d. solve the math. ______________________________


e.write the answer. ______________________________


6. If the quotient is 17 and the dividend 765, what is the divisor?


a. What are they asking for? __________________


b. identify all the necessary numbers. __________________


c. write the equation or problem in numeric form. ______________


d. solve the math. ______________________________


e.write the answer. ______________________________

Answers

4. MIke divided the group into 5 groups. If there were 28 people in each group how big was the original group?

a. What are they asking for?

how big was the original group?

b. identify all the necessary numbers.

28,5

c. write the equation or problem in numeric form.

x=28*5

d. solve the math.

x=140

e.write the answer

. the original group contains 140 people.

5. If he difference is 589 and the subtrahend is 339,what is the minuend?

a. What are they asking for?

what is the minuend?

b. identify all the necessary numbers.

589,339

c. write the equation or problem in numeric form.

x=589-339

d. solve the math.

x=250

e.write the answer.

minuend=250

6. If the quotient is 17 and the dividend 765, what is the divisor?

a. What are they asking for?

what is the divisor?

b. identify all the necessary numbers.

17,765

c. write the equation or problem in numeric form.

x=765/17

d. solve the math.

x=45

e.write the answer.

divisor is 45.

4. Solution

a. How big was the original group?

b. 28 and 5

c. x = 28×5

d. x = 140

e. There are 140 people in original group.

5. Solution

a. What is the minuend?

b. 589 and 339

c. x = 589-339

d. x = 250

e. The minuend is 250.

6. Solution

a. What is the divisor?

b. 17 and 765

c. x = 765/17

d. x = 45

e. Hence, 45 is the divisor.

Solve the equation
1/x + 1/3x = 4

Answers

Answer:

x = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{1}{x} + \frac{1}{3x} = 4[/tex] (Multiply everything by LCM)

[tex]3x*\frac{1}{x} + 3x*\frac{1}{3x}=3x*4[/tex] (Simplify the fractions)

[tex]3+1=12x\\4=12x\\x=4/12\\x=\frac{1}{3}[/tex]

For 12-15, find the missing measures

Answers

Answer:

12. d= 14, C=14π, A=49π

13. r= 13, d=26, A=169π

14. r=9, C=18π, A=81π

15. r=10, d=20, C=20π

Step-by-step explanation:

Apparently I'm supposed to do one at a time so here we go again

Answers

A) 60mph
B) 209.7 miles
C) 2 hours and 45 minutes

At a maximum height (1.20 m) E = _____ PE = _____ KE =_____ h = 1.20 m v = 0 m/s m = 0.620 kg g = 9.81 m/s2


pahelp naman po :<

Answers

Answer:

E = 7.30 J

PE = 7.30 J

KE = 0

Step-by-step explanation:

Given;

maximum height, h = 1.2 m

mass of the object, m = 0.62 kg

velocity, v = 0 m/s

acceleration due to gravity, g = 9.81 m/s²

To determine;

total energy, E =?Potential energy, PE =?Kinetic energy, KE =?

The potential energy, PE = mgh

                                    PE = 0.62 x 9.81 x 1.2

                                    PE = 7.30 J

The kinetic energy, KE = ¹/₂mv²

                                KE = ¹/₂ x 0.62 x 0

                               KE = 0

The total mechanical energy, E = PE + KE

                                                 E = 7.30 J + 0

                                                E = 7.30 J

Y varies directly as x and k = 5
Y=kx

Find y when x = 5​

Answers

Answer:

y = 25

Step-by-step explanation:

Given y = kx and k = 5 then

y = 5x ← equation of variation

When x = 5 , then

y = 5 × 5 = 25

Help please I don’t understand

Answers

Answer:

you need to solve for 'X'

mean 49 = 55 + 42 + 32 +48 + 55 + X

49 = (232+X) / 6

49 * 6 = 232 + X

294 = 232 + X

294 - 232 = X

62 = X

so therefore X is 62

Step-by-step explanation:

please give me a brainliest

Quadrilateral ABCD is reflected across the x-axis and then reflect across the y-axis to form quadrilateral A′B′C′D′. If the coordinates of vertex A are (-7, 3), what are the coordinates of vertex A′?

Answers

Answer:


(7,3)


Hope this helps
Other Questions
Plz help Ill mark u Chloe has a small dog and a large dog. Each day, the small dog eats 3/4 cup of dog food, and the large dog 2 1/2 cups of dog food. In one week, how much more dog food does the large dog eat than the small dog ?A. 1 3/4 cups B. 8 3/4 cups C. 12 1/4 cups D. 22 3/4 cups The question of how we respond to opportunities and demands of the social situation or context is what _____ are all about. Sven determined that the x-coordinate is approximately 3.6 because the point is closer to 4 than 3 and seems to be a little more than halfway between them. What is the approximate value for the y-coordinate? y Almost-equals 1.1 y Almost-equals 1.4 y Almost-equals 1.8 y Almost-equals 1.9 Please help me with this problem Annie invests $400 in a bank that offers 5.5% simple annual interest after 6 years her investment will increase by blank dollars Solve x2 + 10x = 24 by completing the square. Which is the solution set of the equation?(negative 5 minus StartRoot 34 EndRoot comma negative 5 + Startroot 34 EndRoot)(negative 5 minus StartRoot 29 EndRoot comma negative 5 + StartRoot 29 EndRoot){12, 2}{2, 12} what do they reveal about Major kovaloffs charater In his 1776 pamphlet, Common Sense, Thomas Paine stated that the colonies thriving economy was largely due to favorable British policies up to 1763.TrueFalse What industries grew because of the war effort and what did they have to do to produce weapons Instructions: Find AB. given that line AD is the perpendicular bisector of BC. (SSue can shovel snow from her driveway in 65 minutes. Tom can do the same job in 45 minutes How long would atake Sue and Tom to shovel the driveway if they worked together? The focus on establishing relationships with all customers has given way to a more targeted effort to seek higher-value customers.A. TrueB. False On November 1, 20Y9, Lexi Martin established an interior decorating business, Heritage Designs. During the month, Lexi completed the following transactions related to the business:Nov. Lexi transferred cash from a personal bank account to an account to be used for the business in exchange for common stock, $27,100. 1Paid rent for period of November 1 to end of month, $3,300. 6Purchased office equipment on account, $12,840. 8Purchased a truck for $30,500 paying $7,000 cash and giving a note payable for the remainder. 10Purchased supplies for cash, $1,740. 12Received cash for job completed, $7,500. 15Paid annual premiums on property and casualty insurance, $2,300. 23Recorded jobs completed on account and sent invoices to customers, $12,410. 24Received an invoice for truck expenses, to be paid in November, $1,400.Enter the following transactions on Page 2 of the two-column journal:Nov.29Paid utilities expense, $4,500. 29Paid miscellaneous expenses, $1,000. 30Received cash from customers on account, $9,000. 30Paid wages of employees, $6,800. 30Paid creditor a portion of the amount owed for equipment purchased on November 6, $3,000. 30Paid dividends, $2,500. how it do Journal What is the measure of x in the figure below? 22 Agas that is collected by upward delivery is likely to be A heavier than air B insoluble in water C lighter than air D Soluble in water A charity raffle prize is $1,000. The charity sells 4,000 raffle tickets. One winner will be selected at random. At what ticket price would a ticket buyer expect to break even Notacin cientfica de 0,567 It is common for people to name directories as dir1, dir2, and so on. When there are ten or more directories, the operating system displays them in dictionary order, as dir1, dir10, dir11, dir12, dir2, dir3, and so on. That is irritating, and it is easy to fix. Provide a comparator that compares strings that end in digit sequences in a way that makes sense to a human. First compare the part before the digit as strings, and then compare the numeric values of the digits. Your program should work with the provided test program DirectorySortDemo.java. Call the class you write DirectoryComparator.java. Submit the two files in your submission. DirectoryComparator.java DirectorySortDemo.javaimport java.util.ArrayList; import java.util.Arrays; import java.util.collections; public class DirectorySortDemo{ public static void main (String [] args) { String dirNames ("dir12", "dir5", "dir9", "dirl", "dir4", "lab10", "1ab2", "lab7", "lab17", "lab8", "quiz8", "quiz10", "quiz11", "quiz12", "dirll", "dir8", "dir7", "dir15", "dir3"); ArrayList directories = new ArrayList (Arrays.asList (dirNames)); System.out.println ("Unsorted List:"); System.out.println (directories); Collections.sort (directories, new DirectoryComparator ()); System.out.println (): System.out-println ("Sorted List: "); System.out.-println (directories); Select the correct answer from the drop-down menu. The measure of the angle between the two sides of the roof is approximately A. 95.8B. 91.2C. 92.9