How do you graph a piecewise defined function?

Answers

Answer 1

Answer:

hope it helps..

Step-by-step explanation:

1- Indicate on the x-axis the boundaries defined by the intervals on each piece of the domain.

2- For each piece of the domain, graph on that interval using the corresponding equation pertaining to that piece.


Related Questions


A 20 gallon tank is 3/4 full. How many gallons are in the tank?

Answers

Answer:

15 gallons

Step-by-step explanation:

(3 / 4) * (20 US gallons)

= 15 gallons

Answer:

15 gallons are in the tank

Step-by-step explanation:

3/4(20)

15x minus 8 is less than 32

Answers

Answer:

If you want this in an equation, it would be [tex]15x <32[/tex]

If you want the answer to this, it would be [tex]x<2\frac{2}{15}[/tex]

Step-by-step explanation:

Hope this helps:)

Does this table represent a linear function? Why or why not?
x y
2 5
4 8
6 12
8 17
10 23

Answers

Yes it is a linear function Bc the x value doesn’t repeat

What is X? 3(4x−3)= -4+7

Answers

x = 1

Step-by-step explanation:

[tex]3(4x - 3) = - 4 + 7[/tex]

Expand :

[tex]3(4x - 3) = 12x - 9 \\ 12x - 9 = - 4 + 7[/tex]

Simplify : Add values

[tex]12x - 9 = 3[/tex]

Collect like terms and simplify

[tex]12x = 3 + 9 \\ 12x = 12[/tex]

Divide both sides of the equation by 12

[tex] \frac{12x}{12} = \frac{12}{12} [/tex]

Simplify

[tex]x = 1[/tex]

Answer:

x = 1

Step-by-step explanation:

Original Equation:

3(4x - 3) = -4 + 7

Use the distributive property.

3 x 4x = 12x

3 x -3 = -9

Equation:

12x - 9 = -4 + 7

Add 4 to both sides.

12x - 5 = 7

Add 5 to both sides.

12x = 12

Divide both sides by 12

x = 1

Hope I helped :)

Please consider Brainliest :)

The diameter of a circle is 3 1/2m, what is the radius?

Answers

Answer:

1,75 m

Step-by-step explanation:

The radius is by definition half of the diameter and so the half of 3.5 m is 1.75 m

Answer:

1.75m

Step-by-step explanation:

d=3 ½

r=d÷2

so 3 ½ ÷ 2= 1.75

Translate the equation into a verbal sentence 3y+8=32

Answers

Answer:

32 Is Eight More Than 3 Times A Number

Explanation:

32 Is Eight More Than: + 8 = 32

3 Times A Number: 3y

Put Everything Together: 3y + 8 = 32

Step-by-step explanation:

Hey there!

3y+8 = 32 --> The sum of thrice of a number and 8 is 32.

Reason:

When solving this word problem, we let "x" as variable as there is unknown number.After that as in word problem it says "thrice a number" it gives 3x.Then as there is "the sum of the unknown number and 8" it means 3x+8.Lastly the sum would be equal to 3x+8=32.

So, the word problem for this equation is " The sum of thrice of a number and 8 is 32.

Hope it helps...

help i need to pass:/

Answers

Answer:

biologists have a 14ft john boat with trolling motor for sale or trade for hipnopotomus

Answer:

false

Step-by-step explanation:

Solve the following system algebraically. Show all of your work. (5 points)

y = x + 3
3x + y = 19

Answers

Y=7 and x=4. Could I have brainliest?

Answer:x=4 and y=7

Step-by-step explanation:

can any one help me plz

Answers

She has 60in total and 10 pieces of cut ribbon

What am I supposed to do?

Answers

Answer:

28

Step-by-step explanation:

ABC=56, next BD is a bisector which means 1 and 2 are equal so 56/2 = 28, both 1 and 2 equal 28

what Else would need to be congruent to show

Answers

Answer:

A

Step-by-step explanation:

A jar contains only nickels, dimes and quarters. There is at least one of each type of coin in the jar. If the total value of the coins in the jar equals 60 cents, how many quarters are in the jar?

Answers

Answer: There is 1 quarter in the jar

Step-by-step explanation:

First, we see that there needs to be at least one coin of each; a nickel, a dime, and a quarter.

5+10+25=40 (cents)

A quarter is worth 25 cents, and the total value is only 60, so it is impossible for the quarter value to be more than one, otherwise breaking the total value of 60 cents.

Answer:

1

Explanation:

I did that questions in a Mathcounts competition

Express x in terms of y:
3(x + 2y) = 2x = 5y

Answers

Answer:

-6y=x

Step-by-step explanation:

3x+6y=2x=5y

Subtract 5y from all

3x+y=2x-5y

subtract y and 2x from both sides

x=-6y

Which one?
A. B. C. Or D.​

Answers

Answer:

D

Step-by-step explanation:

Given

a² - 1 = 0 ( add 1 to both sides )

a² = 1 ( take the square root of both sides )

a = ± [tex]\sqrt{1}[/tex] = ± 1

solution is { 1, - 1 } → D

Answer:

D) {1, -1}

Step-by-step explanation:

Please share the instructions for this problem:  Solve a^2 - 1 = 0, or find the roots of a^2 - 1 = 0.

Answer D is correct.  Try substituting 1 for a, and then -1 for a.  In both cases the given equation is true.

In eight minutes, Josh was able to type 496 words. What’s his typing speed in words per minute?

Answers

Answer:

62 words/minute

Step-by-step explanation:

496 words divided by 8 minutes= 62 words in one minute

PLease help thanks legit only!!!!!!!!!!!!!

Answers

The slope is 0, or answer choice c.

7(y-2)=7y-14 I’m kinda confused

Answers

Answer:

Infinitely many solutions

Step-by-step explanation:

Equation:

7(y-2)= 7y - 14

1. Simplify each side

7y - 14 = 7y - 14

Infinitely many solutions

A square patio has an area of 107 square feet. How long is each side of the patio to the nearest tenth?

Answers

Answer:

Answer 26.35 rounded to 30

Step-by-step explanation:

what is the mathematical sentence of "the length of wooden frame is 1foot longer than it's width and it's area is equal to 12ft²" can you translate it into quadratic equation in terms of "x"?

Answers

Answer:

x²+x+12 = 0

Step-by-step explanation:

Area if the wooden frame = ,Length ×Width

A = LW

If the length of wooden frame is 1foot longer than it's width, then;

L = W+1

Given

A = 12ft²

Substitute the derived and given parameters into the formula to have;

P = (W+1)W

12 = (W+1)W

Open the parentheses

12 = W²+W

Subtract 12 from both sides

12-12 = W²+W -12

0 = W²+W-12

Rearrange

W²+W-12 = 0

If W = x

The quadratic equation becomes:

x²+x+12 = 0

What is the simplified fractional equivalent of the terminating decimal 0.32?
It’s 8/25

Answers

Answer:

yes

Step-by-step explanation:

8/25= 0.32 which is a terminating decimal

Answer: 8

Over

25

Step-by-step explanation:

solve for x: 1/2(x-10)=3/4(x+20)

Answers

Answer:

x = -80

Step-by-step explanation:

[tex]\frac{1}{2}(x-10)=\frac{3}{4}(x+20)\\\\\\\frac{1}{2}x-\frac{1}{2}*10=\frac{3}{4}x+\frac{3}{4}*20\\\\\\\frac{1}{2}x-5=\frac{3}{4}x+3*5\\\\\\\frac{1}{2}x-5=\frac{3}{4}x+15\\\\\\\frac{1}{2}x-5-15=\frac{3}{4}x\\\\\\\frac{1}{2}x-20=\frac{3}{4}x\\\\\\-20=\frac{3}{4}x-\frac{1}{2}x\\\\\\-20=\frac{3}{4}x-\frac{1*2}{2*2}x\\\\\\-20=\frac{3}{4}x-\frac{2}{4}x\\\\\\-20=\frac{1}{4}x\\\\\\-20*4=x\\\\\\x = -80[/tex]

Mike has $800 in his bank account. Over the last 5 years, the amount in his account has went down to $300. What integer represents the average decrease in value PER YEAR?​

Answers

Answer:

The average decrease each year is 60 because 300 divided by 5 is 60.

HOPE THIS HELPS

Luke can purchase a 10-pound item from several different stores. Which of the following is the best buy?

Answers

What are the options

Answer:

What are the stores & the data?

what is −58+34 any one know?

Answers

Answer:

-24

Step-by-step explanation:

Answer:

-58 + 34 = -24

Step-by-step explanation:

You know what a number line looks like right? Well, you also know that the negative numbers are to the left of the middle of the line at point 0, and the positives are to the right of 0? So, -58 + 34, you would start at -58 and start counting (adding) 34. You do this by "subtracting" a positive 34 from the negative 58, so basically, you could just ignore the negative sign for now and just subtract the problem like this: 58 - 34 = 24. Since 34 is not greater than 58 and you have not "crossed" the middle (0) to get over to the positive side, the answer is still a negative number as your final answer. So, the answer is -58 + 34 = -24.

REMEMBER: On a number line, when you have a negative number and you have to add, you move to the right, or up (if you are doing a vertical line). When you are subtracting on a number line, you move left, or down (if you are doing a vertical line). P.S. I am using the number line example because this is how I add and/or subtract positives and negatives when I don't have a calculator at hand to give the me the answer.

Hope that was helpful and not confusing!!!

If angle p measures 60 degrees, what is the measure of angle C?
A)120
B)60
C)180
D)30

Answers

180 I hope I helped you and that is is right.

What is the location of H' after the image is rotated 180 degrees?

Answers

Answer:

The answer is B

Step-by-step explanation:

If you were to rotate the shape 180* it would turn 2 times leaving the point "H" at (5, -3)

Help pleaseeeee it’s on algebraic proofs

Answers

Answer:

Given

Addition

simplify

answer

Step-by-step explanation:

Answer:

1. Given

2.Addition

3. simplify

4. answer

Step-by-step explanation:

Arianna runs up 4 flights of stairs and then runs down 4 flights of stairs does this situation represent additive inverses explain

Answers

yes because she increased the number of stairs she went up..and decreased the number by going down

30 students in a class took a math test 24 students pass the test what percent past

Answers

Answer:

80% passed

Step-by-step explanation:

1. 24 out of 30 passed

2. In order to make it a % you have to multiply

3. 100 * 24/30

4. = 2400/30

5. Therefore the answer is 80

What is -9 over 22 divided by -3 over 4 in fractions?

Answers

Answer: 6/11

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

You'll need to make compatible numbers first. Turn 22 to 44 and 4 to 11. Then change -9 to -18 and -3 to -6. -9 times -3 equals 3. and 44 divided by 11 is 4. So your answer is 3/4

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