Consider this absolute value function.
f(x) = |1 + 3|
How can function fbe rewritten as a piecewise function?
Answers
Answer:
The function [tex]f(x) = |x+3|[/tex] can be rewritten in the following form:
[tex]f(x) = \left\{\,\begin{array}{ccc}x+3\,\,\,x\ge -3\\-x-3\,\,\,x < -3\end{array}[/tex]
Step-by-step explanation:
According to the definition of absolute value, we know that:
[tex]f(a) = \left\{\,\begin{array}{ccc}a\,\,\,a\ge 0\\-a\,\,\,a < 0\end{array}[/tex]
According to this, we can define [tex]f(x) = |x+3|[/tex] in the following form:
[tex]f(x) = \left\{\,\begin{array}{ccc}x+3\,\,\,x\ge -3\\-x-3\,\,\,x < -3\end{array}[/tex]
Answer:
The correct order is in the picture i attatched:)
Step-by-step explanation:
Hope this helps explain a little better:)
Related Questions
A roofing contractor buys 30 bundles of shingles and 4
rolls of roofing paper for $1040.
In a second purchase (at the same prices), the
contractor buys 12 bundles of shingles and 16 rolls of
roofing paper for $2000.
Create and solve a system of equations in order to
determine how much each bundle of shingles (x) and
roll of roofing paper (y) would cost
Answers
Answer:
Cost of one bundle of shingles is $20 and cost of one roll of roofing paper is $110.
Step-by-step explanation:
Let the cost of each bundle of shingles = x
And cost of the roofing paper = y
Contractor buys 30 bundles of shingles and 4 rolls of roofing paper for $1040.
30x + 4y = 1040
15x + 2y = 520 -----(1)
In a second purchase contractor buys 12 bundles of shingles and 16 rolls of roofing paper for $2000
12x + 16y = 2000
3x + 4y = 500 --- (2)
Equation (1) multiplied by 2 then subtracted from equation (2)
(3x + 4y) - 2(15x + 2y) = 500 - 1040
(3x - 30x) + (4y - 4y) = -540
-27x = -540
x = 20
From equation (1)
15(20) + 2y = 520
300 + 2y = 520
2y = 220
y = 110
Therefore, cost of one bundle of shingles is $20 and cost of one roll of roofing paper is $110.
whats 402 divided by 8 PLEASE HELP
Answers
Answer: 50.25
Step-by-step explanation:
Answer: 50.25
Step-by-step explanation: /
PLEASE HELP ME!!! WILL MARK BRAINLIEST!!!
Answers
Answer:
1. 32 and 64
2. 24 and 17
3. 43 and 48
4. 25 and 15
Step-by-step explanation:
Answer:
1.2,4,8,16,32,64
2. 52,45,38,31,24,17
3.23,28,33,38,43,48
4. 65,55,45,35,25,15
Step-by-step explanation:
hope this helped :)
^2sin(x+45)=sinx + cosx
Answers
Answer:
steps below
Step-by-step explanation:
√2 * sin(x+45°)
= √2 * (sinx cos45° + cosxsin45°)
= √2 * (sinx * √2/2 + cosx * √2/2 )
= (√2 * √2/2) (sinx + cosx)
= sinx + cosx
A farmer picked 496 oranges. He also picked 435 lemons. Which shows
how many more oranges than lemons he picked?
496 X 435
496 ÷ 435
496 - 435
496 + 435
Answers
Answer:
C
Step-by-step explanation:
:)
Sketch a graph to math this: The Olympic skier waited at the top of the mountain for 2 minutes before heading down the ski slope. She went faster and faster for the first 5 minutes, and then she slowed to a stop. Finally, it took her 10 minutes to walk to her car.
Answers
Answer:
7 minutes
Step-by-step explanation:
solve[5x-6/7] = -8 for x
please help
Answers
Answer:
7=7
Step-by-step explanation:
1 Let x=\frac{13}{5}x=
5
13
.
5\times \frac{13}{5}-6=7
5×
5
13
−6=7
2 Cancel 55.
13-6=7
13−6=7
3 Simplify 13-613−6 to 77.
7=7
7=7
hope this helps.
Write x2 + 12x + 6 = 0 in vertex form using the completing-the-square method. (2 points)
a
(x - 12)2 - 30 = 0
b
(x - 6)2 + 36 = 0
c
(x + 6)2 - 30 = 0
d
(x + 12)2 + 36 = 0
Answers
Answer:
C- is more likely going to be your answer.
please help and can you explain how you got it? Also what grade level is the work (6th, 7th or 8th)?
Answers
Answer:
The equation of line p is y = -³/₂x + 3
Step-by-step explanation:
Let's first find the slope of the line. That's equal to Δy/Δx:
(-3 - 6) / (4 - (-2))
= -9 / 6
= -3/2
With that, we can plug it in to the format:
Δy = sΔx, or (y - y1) = s(x - x1):
y - 6 = s(x - (-2))
y - 6 = (-3/2)(x + 2)
y = -3x / 2 - 3 + 6
y = -³/₂x + 3
Which of the following situations can be represented by the expression 3n – 15 ? Select all that apply.
Answers
Answer: B
Step-by-step explanation:
You are at a coffee shop and notice that as the temperature of the room gets colder, more people order hot beverages. From this observation, you conclude that there is a _______ between the temperature and hot beverage sales at this coffee shop. Group of answer choices negative relationship curvilinear relationship no relationship positive relationship
Answers
Answer:
negative relationship.
Step-by-step explanation:
An experiment can be defined as an investigation which typically involves the process of manipulating an independent variable (the cause) in order to be able to determine or measure the dependent variable (the effect).
This ultimately implies that, an experiment can be used by scientists to show or demonstrate how a condition causes or gives rise to another i.e cause and effect, influence, behavior, etc in a sample.
Cause and effect can be defined as the relationship between two things or events in which an occurrence one (cause) leads to the occurrence of another (effect).
A negative relationship or correlation can be defined as the relationship between two variables in which there exist an inverse relationship between them i.e as one variable increases, the other decreases and vice-versa.
In this scenario, you are at a coffee shop and notice that as the temperature of the room gets colder, more people order hot beverages. From this observation, you conclude that there is a negative relationship between the temperature and hot beverage sales at this coffee shop because for the temperature to get colder it would decrease and for the hot beverages to be hot, its temperature must be increased.
what is the answer
for this
Answers
Answer: 2.5 // 2 1/2
Step-by-step explanation:
1/2 + 1/2 = 1
3/4 + 3/4 = 6/4 = 1 1/2
1 + 1 1/2 = 2 1/2
2 1/2 = 2.5
Factor the follow expression:
8x−10
Select one:
2(4x−10)
2(x−5)
8(x−10)
2(4x−5)
Answers
Answer:
2(4x-5)
Step-by-step explanation:
I will offer brainalist + 10 points for correct answer (:
Answers
Answer:
D) complimentary
Step-by-step explanation:
complimentary angles add up to 90 degrees
Answer:
D. Complementary!!!!!!!
Step-by-step explanation:
T
x
What is the area of a kite with diagonals that are 9
inches and 12 inches long?
108 in 2
O 54 in2
108 in2
60 in?
Please help me solve this
Answers
Answer:
108in^2
Step-by-step explanation:
Because the rule says that you should multiply them by each other
Zack picked 18 carrots from his garden and divided them equally into 2 bunches to give to his neighbors. How many carrots are in each bunch?
Answers
Answer:
9
Step-by-step explanation:
he had 18 so he divide them by to so 18/2 9 so there 9 in each bunch
I need a real answer.
Answers
https://kami.app/987hunntx5Pl can sum 1 help its 18Q and im doing somethig so i can get it finished rn its due in 15 min
Answers
Answer:
The link doesn't exist or was deleted or I don't have permission to view it.
Step-by-step explanation:
E = {10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23}
A = {odd numbers}
B = {multiples of 3}
Complete the Venn diagram for this information.
6
A
B
e
15,2
Answers
Answer:
A=11,13,17,19 B=12,18 None=10,14,16,19 Both=15
Step-by-step explanation:
11,13,15,17,19 are all odd so they go in A
12,15,18 Are all multiples of 3 so they go in B
10,14,16,19 Are not classified so they go outside of the diagram but inside E
15 is odd and a multiple of 3 so put it in the center and not with A and B
Solve for xx. Round to the nearest tenth if necessary.
Answers
Answer:
x = 37.5
Step-by-step explanation:
By Basic Proportionality Theorem:
[tex] \frac{x}{20} = \frac{46 - 16}{16} \\ \\ \frac{x}{20} = \frac{30}{16} \\ \\ x = \frac{20 \times 30}{16} \\ \\ x = \frac{600}{16} \\ \\ x = 37.5[/tex]
Answer:
x=37.5
Step-by-step explanation:
16/20=30/x
cross multiply
16x=600
x=37.5
the square root of 50 plus 5 square root of 8
[tex] \sqrt{50} + 5 \sqrt{8} [/tex]
Answers
Your boss has given you two options for salary increase. Your current salary is $45,000 per year.
Option 1: A raise of $2000 per year (linear growth).
Option 2: A yearly 4% raise (exponential growth).
a) Write an explicit equation for both options.
b) Fill in the table below,
Answers
Answer:
Step-by-step explanation:
There is no table but I will do the equations
Option 145000+2000t
let "t" represent the number of years
Option 245000*1.04t
let "t" represent the number of years
900 ÷ 10 =
7,900 x 10 =
What number is 10 times greater than 200?
What number is 10 times less than 300,000?
Answers
Answer:
900÷10= 90
7900×10= 79000
200×10= 2000
300000×10= 30000
Write in summation notation.
11) -2+ 1 + 4+...
+ 13
I’ll give brainliest to whoever answers correctly first
Answers
I need help please if u help me maybe we can be friends ? :’D its math:
Evaluate the expression 10 + (8 - 4)2 ÷ 2.
options:
1. 10
2. 9
3. 1
4. 18
Answers
Answer:
I think ans is 18 but i am not sure
Answer:
This involve bodmas..so bracket first..(8-4) is 4 so we will get 10+4*2/2
so multiplication next
10+8/2
10+4=14
Find all the missing elements:
B
a
C = 120°
b = 5
c = 11
A
b C
A = 36.8° B = 23.2° = [?]
Round to the nearest tenth.
Enter
Answers
Answer: a= 7.6
Step-by-step explanation:
just moving the correct answer from a comment to an actual submission
Answer:
The answer for Acellus people is C=7.6
Step-by-step explanation:
1. Delia brushes her teeth 6 hour
each day.
Units of Time
1 week = 7 days
1 hour = 60 minutes
Write and solve an equation to find
how many minutes Delia brushes
her teeth in 1 day. Then use that to
find the number of minutes she
brushes her teeth in 1 week.
Answers
Answer:
Answer:
PART A: 28 hours, PART B: 16800 minutes
Step-by-step explanation:
Delia Brushes her teeth = 1/6 hour
PART A
Total Week= 1 week
Total number of days in a week= 7 days
Total number of hours in a day= 24 hours
Total number of hours in a week= 24× 7 hours
Total number of hours in a week= 168 hours
Number of hours that Delia brushes her teeth = × 168 hours
Number of hours that Delia brushes her teeth = 28 hours
Hence, the correct answer is 28 hours
PART B
Total number of days in a week= 7 days
Total number of hours in a week= 168 hours
Total number of minutes in a week= 168 × 60
Total number of hours in a week= 100800 Minutes
Number of minutes that Delia brushes her teeth = × 100800
Number of hours that Delia brushes her teeth = 16800 minutes
Hence, the correct answer is 16800 minutes
Step-by-step explanation:
4/7 of 29= (estimate each product)
Answers
Answer:
16.6 for nearest tenths
16.57 for nearest hundreths
Step-by-step explanation:
4/7*29/1=
29*7=203/7 to get the same denominator
203 x 4 = 812 mulptiply to get the fraction
7 x 7 = 49
812/49=16.5714285714
(If you answer this right give me your cash app and I will pay you 5 dollars) Find the surface area of the pyramid.
12 yd
17.3 yd
20 yd
The surface area is
square yards.
Answers
If cm on a map represents 20km on the ground ,how far apart are two villages that are 0.5cm aprt on the map?
Answers
Answer: 10 km
Step-by-step explanation:
20 km = 1 cm
villages are 0.5 cm apart
0.5+0.5=1
20/2= 10
so 10 km.