Rewrite the absolute value function y=|x|-3 as two linear functions, one that has the domain x<0, and one that has the domain x≥0.
Answers
Two linear functions, one that has the domain x < 0 is y = - x - 3
And, one that has the domain x ≥ 0 is y = x + 3.
What is linear expression?A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.
We have to given that;
The absolute value function is,
⇒ y = |x| - 3
So, The linear function which has the domain x < 0 is,
⇒ y = - x - 3
And, The linear function which has the domain x ≥ 0 is,
⇒ y = x - 3
Learn more about the linear function visit:
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Related Questions
HURRY 50 POINTS
What is the height of a cylinder with a radius of 3 and a volume of 189?
Answers
Answer:
6.68 units (2 d.p.)
Step-by-step explanation:
The formula for the volume of a cylinder is:
\(\boxed{V=\pi r^2 h}\)
where:
V is the volume.r is the radius of the circular base.h is the height.Given values:
V = 189 cubic unitsr = 3 unitsTo find the height of the cylinder, substitute the given values into the formula and solve for h:
\(\implies 189=\pi \cdot 3^2 \cdot h\)
\(\implies 189=9\pi \cdot h\)
\(\implies \dfrac{189}{9 \pi}=\dfrac{9\pi \cdot h}{9 \pi}\)
\(\implies \dfrac{189}{9 \pi}=h\)
\(\implies h=6.6845076...\)
Therefore, the height of a cylinder with a radius of 3 units and a volume of 189 cubic units is 6.68 units (2 d.p.).
Answer:
h≈6.68
Step-by-step explanation:
6.68 is the height of a cylinder with a radius of 3 and a volume of 189
brody\ made\ some\ candles\ that\ weighed\ \frac{1}{4}\ of\ a\ pound\ per\ candle.\ He\ shipped\ them\ in\ a\ box\ that\ weighed\ 51\ pound.\ The\ total\ weight\ of\ the\ box\ filled\ with\ candles\ was\ 60.75\ pounds.\ How\ many\ candles\ did\ brody\ ship\ in\ the\ box?
Answers
Answer:39
im not adding an explanation so just use this
A car starts from rest and moves down in a high hill with a constant acceleration. It travels a distance
of 300 m in 10s. Find its acceleration. Find the force acting on it if its mass is 1500 kg
Answers
The car starts at rest and accelerates uniformly with magnitude \(a\), so the distance \(x\) it travels in time \(t\) is
\(x = \dfrac12 at^2\)
Solve for \(a\).
\(300\,\mathrm m = \dfrac12 a (10\,\mathrm s)^2 \implies a = \dfrac{600\,\rm m}{100\,\mathrm s^2} = \boxed{6\dfrac{\rm m}{\mathrm s^2}}\)
By Newton's second law, the magnitude of force \(F\) acting on the object, if its mass \(m\) is 1500 kg, is
\(F = ma = (1500\,\mathrm{kg})\left(6\dfrac{\rm m}{\mathrm s^2}\right) = \boxed{9000\,\mathrm N} = 9\,\mathrm{kN}\)
Keira said that if 6 tickets are sold, there should be 2 tickets left. Is Keira correct?
Answers
According to Keira, if 6 tickets are sold, there should be 2 tickets left. However, we don't have any information about the initial number of tickets available.
If the total number of tickets initially was 8, and 6 tickets were sold, then there would indeed be 2 tickets left, supporting Keira's statement.
However, if the total number of tickets initially was less than 8, or if the statement doesn't specify the initial number of tickets, we cannot determine if Keira's statement is correct.
Therefore, without additional information, we cannot determine the accuracy of Keira's statement.
Robin wants to buy a membership at a carwash this summer so that she can keep her car clean. She compared deals from Speedy Clean Carwash and Sudsy Bubbles Carwash to decide which membership to get. Robin arranged the information in the tables below.
How many times will Robin need to wash her car to spend the same amount at both carwashes?
P.S.: I attached the table below:)
Answers
Find the equation of the linear function represented by the table below in the slope-intercept form.
x y
-3 -7
2 -2
7 3
12 8
Answers
Answer:
y=x-32
Step-by-step explanation:
y=mx+b where m is the slope and b is the y-intercept.
slope=change in y/change in x
=5/5
y=5x+b --> choose a random point
(7,3) ---> 3=5(7)+b=35+b
b= -32
y=x-32
i dont understand how to do 9, 10, 11, and 12.
instead of solving it, can you give me an example of how to solve each?
Answers
Okay, let’s replace the numbers.
(3m/1n)^-3
Distribute the exponent.
(3m)^-3 / (1n)^-3
To get rid of the fact that th exponents are negative, we can flip the fraction!
(1n)^3 / (3m)^3
Now we distribute the exponent to the numbers and variables
1n^3 / 27m^3
That is your example answer for #9.
10. -(2a)^-2 b°
Anything to the power of 0 is 1.
-(2a)^-2
Since we have a negative exponent, flip the fraction
-(1/(2a)^2)
-1/4a^2
That is your example answer for 10.
11) 2m^-1/3(ab)^-4c^-7
Flip the exponents with negative powers to make it positive
2(ab)^4 c^7 / 3m
distribute the 4 exponent
2a^4b^4c^7/3m
That is your example answer for 11.
12) 4 x y^-1 z^0 / v^-3
Anything to the power of 0 is 1.
4 x y^-1 / v^-3
Flip the variables that have a negative exponent.
4xv^3/y
That is your example answer for 12
Answer:
9)Okay, let’s replace the numbers. (3m/1n)^-3Distribute the exponent. (3m)^-3 / (1n)^-3To get rid of the fact that th exponents are negative, we can flip the fraction!(1n)^3 / (3m)^3Now we distribute the exponent to the numbers and variables1n^3 / 27m^3That is your example answer for #9. 10. -(2a)^-2 b°Anything to the power of 0 is 1. -(2a)^-2Since we have a negative exponent, flip the fraction-(1/(2a)^2)-1/4a^2That is your example answer for 10. 11) 2m^-1/3(ab)^-4c^-7Flip the exponents with negative powers to make it positive2(ab)^4 c^7 / 3mdistribute the 4 exponent 2a^4b^4c^7/3mThat is your example answer for 11. 12) 4 x y^-1 z^0 / v^-3Anything to the power of 0 is 1. 4 x y^-1 / v^-3Flip the variables that have a negative exponent. 4xv^3/yThat is your example answer for 12
Step-by-step explanation:
Mr. Burdzy has a bowl of M&Ms. His least favorite color of M&M's is brown, so there are a lot of brown M&Ms left in the bowl. How many brown M&M's are left in a bowl of 200 M&Ms if 60% of the bowl is brown
Answers
Answer:
There are one hundred and twenty brown M&M's
what is the diameter of a circle with area of 113.04 square cm. use 3.14?
pls fast
Answers
Answer:
diameter of a circle = 12cm
Step-by-step explanation:
Area of a circle = πr²
113.04 cm² = πr²
First, search for radius (r) :-
r = √(113.04/π)
r = 6 cm
As diameter is equals to 2×radius
The diameter of a circle = 2 × 6cm
Final answer = 12 cm
Answer:
d≈12cm
Step-by-step explanation:
Using the formulas
A=πr2
d=2r
Solving for d
d=2A
π=2·113.04
π≈11.99696cm
A quarter circle is attached to the side of a square as shown.
What is the best approximation for the area of this figure?
Use 3.14 to approximate pi.
A.)28.6 m²
B.)41.1 m²
C.)66.24 m²
D.)116.5 m²
Note: I helping my brother math work so i hope you can answer this question
Answers
Answer: A
Step-by-step explanation: You have to find the area first, after you use pie and you get 28.6
Answer:
D
Step-by-step explanation:
Just did this good luck
PLEASE HELP The recipe for beef stew calls for 1/4 teaspoon of pepper for every 3 potatoes. If 9 potatoes are used, how much pepper is needed?
Solve the proportion StartFraction one-fourth over 3 EndFraction = StartFraction p over 9 EndFraction to answer the question. Explain your steps.
Answers
Answer: 3/4 teaspoons of pepper for 9 potatoes
Step-by-step explanation:
3 x 3 = 9
3 x 1/4 = 3/4
or
3 + 3 + 3 = 9
1/4 + 1/4 + 1/4 = 3/4
Please help 15 points!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
100
35/42 is about 83 percent 83 percent of 120 is roughly 100
The answer is 100 females
Pls answer 2 algebra 1 questions for 25 points tank u.
Answers
-45<48
-6>2
I GOT IT RIGHT ON THE TEST
2x+3. x=3 (show work)
Answers
Answer:
9
Step-by-step explanation:
2x+3, and x=3
so 2(3) + 3
6 + 3
= 9
The Math Club at Dawn's school had a Math Carnival. At her booth, Dawn set up three scales with baseballs, tennis balls, and soccer balls, as shown in the picture above. Each soccer ball weighs 12 ounces.
Contestants tried to determine the weight of each kind of ball.
How much does each kind of ball weigh?
[Assume that all the soccer balls weigh the same, all the baseballs weigh the same, and all the tennis balls weigh the same.]
1.How does each ball weigh.
2.How much does each tennis ball weigh.
Answer those questions
Answers
Baseball- 5 oz
Tennis ball- 2 oz
That should be the right answer
baseball 5 oz
tennis ball 2oz
Ruth's dining room is 6 yards wide and 9 yards long. Ruth wants to install a new wood floor. It will cost $8.00 per square yard. How much will Ruth's new floor cost?
Answers
Ruth’s new floor cost $432.
The cost can be calculated as follows.
First, calculate the area of dining room. Use the formula of rectangle area (width x length)
Area = width x length
= 6 yd x 9 yd
= 54 sq yd
Second, calculate the total cost.
Cost = 54 sq yd x $ 8 per sq yd
= $ 432
Hence it cost $ 432 to install the new wood floor.
Read more on rectangle here
https://brainly.com/question/15019502?referrer=searchResults
Answer:
$432
Step-by-step explanation:
1. Find the area of the dining room. The equation for finding the area is Length x Width = Area, so, 9x6=54 square yards.
2. Then, since each square yard is $8.00, multiply 54 and 8 to get $432.
Find the measure of each of the following
Answers
PLEASE HELP. URGENT 8TH GRADE MATH QUESTION. GIVING AS MANY POINTS AS I CAN TO THE CORRECT ANSWER. THANK YOU YA'LL ARE LIFE SAVERS
Answers
Z=98
I’m bad at explaining so if you needed an explanation I’m sorry!!
Because z and 82 angles are internal angles
And total of the two inner corners 180
Y =82+32 =114
Y=114 multiply 5=22.8
PLEASE HURRY This table shows how many t-shirts of each color Marcus has in his closet. If he chooses a T-shirt without looking, what is the probability that it will be white?
Answers
Answer:
3/30
Step-by-step explanation:
3/30 or 1/10 simplified
which is 30.
so 3 out of 30 are white,
and 30/3 is 10, so you can simplify and rewrite as
1/10
what is 0.9999999999999999999999 x 52 =
Answers
Answer:
52 that's what it says
Answer: 52
Step-by-step explanation:
please help me with this math :
Answers
I'm not sure if there's supposed to another one but the the only answer I've got is B
B is approxapproximately 15 while the rest are under 12.
The points on the graphs represent relations. Classify these relations according to whether or not they are functions. (3)
Answers
Answer:
here
Step-by-step explanation:
Answer:1 and 2 is a function. But the third one isn't. explanation: When there is more than one point on a vertical line that is not a function.
Please Help
I need an answer ASAP
Answers
PLEASE HELP - Due 15th Sept
Tokens are put on some squares of an 8 x 8 grid to make a pattern, such as the one shown in the first diagram (without arrows.
We try to remove the tokens in a sequence of clearing steps. A clearing step consists of choosing row or a column which only contains 1 or 2 tokens and removing them. For example, we cannot initially remove all tokens from Column D. But we can clear Row 5 and then, in some later step, remove the two remaining tokens in column D.
If all the tokens in a oattern can be removed from the grid using some sequence of clearing steps, the pattern is called clearable. The pattern in the diagram is clearable because we can remove all tokens using the following sequence of 13 steps (among other possibilites) :
2, E, 8, G, 7, F, D, 5, 6, 3, 4, A, 1.
These steps are represented by the arrows numbered 1 - 13 in the second diagram.
a) Show that the pattern can be cleared in 11 steps.
b) Explain why it is impossible to clear the pattern in less than 11 steps.
c) The third diagram/pattern is not clearable - explain why.
d) What is the smallest number of tokens that can appear in a non-clearable pattern? Explain.
Thanks so much for your time - these problems are very difficult!!
Answers
Answer: I think that it is D
Did I do this right and if not show me how please
Answers
Answer:
you did it right
Step-by-step explanation:
what is the equation of the blue line?
Answers
Answer: y = 3x + 2
Step-by-step explanation:
\(\dfrac{x-x_{1} }{x_{2} -x_{1} } =\dfrac{y-y_{1} }{y_{2} -y_{1} }\\\)
Let's choose two arbitrary points on the graph.
For example, let these be points with coordinates (1, 5) and (2, 8).
Substitute the coordinates of these points into the above formula and derive the equation of a straight line.
\(\dfrac{x-1}{2-1} =\dfrac{y-5}{8-5}\\\\\dfrac{x-1}{1} =\dfrac{y-5}{3}\\\\3(x-1)=y-5\\3x-3=y-5\\y=3x-3+5\\y=3x+2\)
pls help me with this i have been trying to figure it out
Answers
Answer: The perimeter of crater lake is 17.27 miles.
Step-by-step explanation:
The shape of the lake is like a circle
The diameter of lake = d = 5.5 miles
∵ shape pf lake is circle, so the diameter of circle = d = 5.5 miles
Let The perimeter of crater lake = p miles
Now, As we know
The perimeter of circle = \pi × diameter
the value of \pi = 3.14
Or, p = pi × d
Or, p = pi × 5.5 miles
Or, p = 3.14 × 5.5 miles
∴ p = 17.27 miles
So, The perimeter of circle = perimeter of lake = p = 17.27 miles
Hence, The perimeter of the crater lake is 17.27 miles.
It was my cousin's idea
The cacluation of pi is 3.14
Answer:5.5\(\pi\)
Step-by-step explanation:
I AIN'T PLAYIN I NEED THIS DONE SOON
The first term in an arithmetic sequence is 12. The third term in the sequence is 4. The tenth term in the sequence is -24.
A. Write the function that could be used to find the nth term of the arithmetic sequence
B. Daelyn said that the recursive formula for this sequence could be described as, “to find the next term of the sequence, add -4 to the previous term.” Do you agree or disagree that this statement is equivalent to the explicit formula that you created in part A? Explain.
Answers
a. a(n)=12-4(n-1)
b. i agree with Daelyns statement because the common difference is -4. so adding a -4 (subtracting 4) will get you to the next term in the sequence.
i am also doing this lesson so i think that’s correct according to the formula notes i took yesterday what i did was fill in the formula for explicit formula: a(n)= a(1)+d(n-1)
I NEED THIS RIGHT NOW
Answers
Answer:
x - y
Step-by-step explanation:
if x is greater than y subtraction will be the result with a positive number.
(-3 +1/2x) + (1 +1/6x)
help i need this today!!!!!deadline by 12:00am
Answers
Answer:
2/3 (x - 3)
Step-by-step explanation:
hope this helps =)
2/3 (x-3)
Step-by-step explanation:
hope that helps!