Algebra 2!! Which graph represents the following piecewise defined function?
-2x, x <-1
f(x) = -1,-1 x-1, x>2

Algebra 2!! Which Graph Represents The Following Piecewise Defined Function?-2x, X &lt;-1f(x) = -1,-1x-1,

Answers

Answer 1

The graph that defines the following piece-wise function is given by:

f(x) = -2x, x < -1.[tex]f(x) = -1, -1 \leq x < 2[/tex].[tex]f(x) = x - 1, x \geq 2[/tex].

What is a piece-wise function?

It is a function that has different definitions based on the input.

In this problem, for x less than -1, the function is a line going through points (-1,2) and (-2,4), hence the slope is:

m = 4 - 2/(-2 - (-1)) = -2.

The slope of -2 means that it also passes through (0,0), hence the function is:

y = -2x.

For x between -1(inclusive) and 2(exclusive), it is a constant function at y = -1.

For x equal or greater than 2, the function is a line going through points (2,1) and (4,3), hence the slope is:

m = (3 - 1)/(4 - 2) = 1.

The slope of 1 means that the function passes through (0,-1), hence the function is:

y = x - 1.

Hence the piece-wise function is defined by:

f(x) = -2x, x < -1.[tex]f(x) = -1, -1 \leq x < 2[/tex].[tex]f(x) = x - 1, x \geq 2[/tex].

More can be learned about piece-wise functions at https://brainly.com/question/24734454

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Answer 2

Answer:

A

Step-by-step explanation:


Related Questions

find the value of each variable
x=
y=

Answers

Can’t see it sorry jk the answer is x=567 y=766

Each planter has a base of 3
1
2
in by 1
3
4
in.
What is the area covered by all the planters?

Answers

Answer:

outcome, sample space.AND EVENT

The mean age of 11 women in an office is 19 years old. The mean age of 11 men in an office is 26 years old. What is the mean age (nearest year) of all the people in the office?

Answers

Answer:

22.5

Step-by-step explanation:

The mean is calculated by taking the sum of the values and dividing by the count.

For instance, for the 11 women, with the mean being 19, we can see that the ages summed to 209:

11 x 19 = 209

And then we can do the same for men:

11 x 26 = 286

And now we can combine the sum and count of the men and women to find the mean for the office:

286 + 209 = 495

495/22 = 22.5

Find the product.
-a2b²c²(a+b-c)

Answers

Answer:

[tex]- a^{3} b^{2} c^{2} - a^{2} b^{3} c^{2}+ a ^{2} b^{2} c^{3}[/tex]

Step-by-step explanation:

branliest pls

a town is 61km north of 23km east of town B.bCalculate the bearing of A from B​

Answers

Answer:

  20.7°

Step-by-step explanation:

Bearing angle is measured clockwise from north. The geometry can be modeled by a right triangle with the sides equal to the distances north and east of town B. The tangent relation can be used to find the angle.

__

The attachment shows the geometry. The relevant angle relation is ...

  Tan = Opposite/Adjacent

  tanIβ) = 23/61 . . . . . where β is the bearing angle

The angle value can be found using the arctangent function.

  β = arctan(23/61) ≈ 20.659°

The bearing of A from B is about 20.7°.

What is the difference between permutations and combinations.

Answers

Answer:

permutations: order matters

combinations: order doesn't matter

Answer:

A combination doesn't need to be in a specific order, unlike permutation which needs to go in order.

Step-by-step explanation:

3) Find the next three terms in the following geometric sequence. 8, 20, 50, ...​

Answers

Answer:

125,312.5, 781.25

Step-by-step explanation:

times previous number in sequence by 2, then add half of same previous number

A book has 180 pages. Haley read 12 pages each day.after a certain number of days there are 60 pages left,which equation and solve for X gives the number of days he read

Answers

Answer: She read for 10 Days, equation below

Step-by-step explanation:

Number of pages = 180

Rate = 12pages Per day

Number of days read = (180-60) /12

Days read = (total no of page - page left)/page read per day

= 120/ 12 = 10 days

Days remaining = pages left /page per day

=60/ 12 = 5


Howie wants to get a car loan with 4% simple interest rate. If the car
costs $25,000, how much would Howie need to pay back at the end of
one year, including the interest?

Answers

Answer:  $26,000

Explanation:

i = simple interest

P = 25,000 = amount loaned

r = interest rate in decimal form = 0.04

t = number of years = 1

So,

i = P*r*t

i = 25000*0.04*1

i = 1000

Howie needs to pay $1,000 in interest on top of the $25,000 loaned to him. In total, he needs to pay back 1,000+25,000 = 26,000 dollars.

Justine earned $28,000 during the first year of her job at city hall. After each year she received a 6% raise. Find her total earnings during the first five years on the job.

Answers

Answer:

$ 157838.60  in 5 years

Step-by-step explanation:

r = 1.06

sum of geometric seq =  a1 ( 1-r^n)/(1-r)    n = 5

                                        28000 ( 1 - 1.06^5) / ( 1-1.06) = 157838.60

help me please i really need help pls

Answers

Answer:

x=20

Step-by-step explanation:

Complementary angles add up to 90 degrees.

Therefore, 30 + 3x = 90

3x=60

x=20

Scarlett drew a scale drawing of a campsite. The tent, which is 8 feet wide in real life, is 2 inches wide in the drawing. What is the scale of the drawing?

Answers

Answer:

25% or 0.25

Explanation:

Based on the given conditions, formulate: 2 divided by 8

Reduce the fraction: 1/4

get the result: 25% or 0.25

Answer: 25% or 0.25

Please Vote Me Brainliest. Thank You.

Answer:

48 : 1 or 48 to 1

Step-by-step explanation:

to find out the answer we have to first find out what 8 feet is in inches as shown below
8 * 12 = 96

then we apply the inch value to a scale factor setup where 96 is the larger set and 2 is the smaller image

96 : 2

find the least common denominator...

96 / 2 : 2 / 2
 = 48 : = 1

and then rewrite the answer

48 : 1

good luck with ur studies, hope this helps with future problems ^^

Help me pls brainles

Answers

Step-by-step explanation:

4/10 is 4 away from 0 (not counting the zero but if you did is 5 away from 0) 7/10 is 3 away from 4/10 and 2/10 is 2 behind 4/10

16.
A reporter intends to
survey 150 people to estimate what percentage of the city's
population would support a law that raises the
legal driving age from 16 to 18 years.
Where should the reporter conduct his survey to obtain data that best represents the
entire city population?

A. the city's park
B. the city's high school
C. the city's senior citizen center
D. the city's police and fire stations

Answers

Answer:

A. the city's park

Step-by-step explanation:

It would be the park, because many people of different genders and ages go there, and it would be unbiased, since is not just a certain age or  gender of people who go there.

Abby purchased a stop light at a garage sale for 12$. She later sold the stop light on Craigslist for 16$. What was the present increase

Answers

30% would be the answer. Good luck

Answer:

33.3% increase

P% = Y/X - 1

P% = 16/12 - 1

p = 0.3333

Convert

0.3333 = 33.33%

Erica's travel plans include 4 independent flights. The chance of a flight being on time is 90%. What is the probability that all of Erica's flights will be on time? А 36% B 66% С 76% D 86%.​

Answers

Since the chance of a flight being on time is 90%. The probability that all of Erica's flights will be on time is B 66%.

To answer the question, we need to know what probability is

What is probability?

This is the likelihood for an event to occur. It is given by

P(event) = number of required outcomes/total number of outcomes

Now, given that Erica's travel plans include 4 independent flights. The chance of a flight being on time is 90%. So, P(flight) = 90%. Since they are indepent, we multiply their probability.

Probability that all of Erica's flights will be on time

So, the probability that all of Erica's flights will be on time is P(on time) = P(flight) × P(flight) × P(flight) × P(flight)

= [P(flight)]⁴

= (90%)⁴

= (0.9)⁴

= 0.656

≅ 0.66

= 66%

So, the probability that all of Erica's flights will be on time is B 66%.

Learn more about probability here:

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Help please anyone please

Answers

Answer:

You seem to have two questions, so I will answer both!

Step-by-step explanation:

The answer for the cube volume is D

If you remove a cube from another cube it is affecting more than one side, hence the -1 on two differents p's.

The true area of that house is 48m^2

Take the before scaling it, multiply it by the scale (200)

Square your answer and get around 48 m^2

(You actually get like 48.9897 etc, but we are kind of ignoring that)

please help me...asap

Answers

(2nd option) yes, each number has an equal chance of being selected.

What’s the nearest hundreds to 7,190

Answers

Answer:

7200

Step-by-step explanation:

It is above 7150+

So the nearest hundred of 7190 will be,

→ 7190 ≈ 7200

→ 7200

Thus, the nearest hundred is 7200.

Answer ↓

7,200

Calculations / Details ↓

Rounding Rules :

If the number you are rounding is followed by a number less than 5 , you round down .

If the number you are rounding is followed by a number greater than  or equal to 5 , you round up .

Here we're asked to round [tex]\mathtt{7,190}[/tex] to the nearest hundredth .

The number we're rounding is followed by a number greater than 5 , so we round up :

7,190 ---> 7,200

So the ans is

7,200

[tex]\small\text{hope\:helpful~}[/tex]

please help me......asap

Answers

Answer:

Step-by-step explanation:

Plot each pair of values from the table on the coordinate plane.

Answers

Step-by-step explanation:

So, we can find the points to graph by looking at the table. The left column is where we find our x-values and the right column is where we find the y-values. We get the points (1, 3), (3, 9), (5, 15), and (6, 18). I added a picture showing where to plot these and hope it helps!!

What is the value of areas of triangles if height is 12 m and base is 6m ?​

Answers

Answer:

36 sqm

Step-by-step explanation:

Area = base x height /2

= 12 x 6 /2

= 36sqm

When Adam sights the top of a 10-ft-high statue from 100 ft away, he finds an angle of elevation of 2.3°. When his friend Mark stands in the same location and sights the top of the same statue, he finds an angle of elevation of 2.6°. Assuming both boys measured correctly, which boy is taller? By how much?

Answers

Answer:

Adam's height - Mark's height  =

[10 - 100tan (2.3)]  - [10 - 100tan(2.6) ]   =

≈ [5.96ft   -  5.46 ft]   =

≈ .50  ft    .....    and Adam is ≈  6 inches taller

Step-by-step explanation:

Adam's height - Mark's height  =

[10 - 100tan (2.3)]  - [10 - 100tan(2.6) ]   =

≈ [5.96ft   -  5.46 ft]   =

≈ .50  ft    .....    and Adam is ≈  6 inches taller

Simplify the expression 7t +3- 2 t

Answers

Answer:

5t+3

Step-by-step explanation:

1 Collect like terms.

(7t-2t)+3

2 Simplify.

5t+3

Answer:

(7t - 2t) + 3

Combine the like terms that include t.

[tex]7t - 2t = 5t[/tex]

Turn into equation.

[tex]5t + 3[/tex]

__________________________________________________________

Find the 1st term of an arithmetic sequence whose common difference is - 9 and whose 101st term is - 902.

Answers

Answer:

a = -2

Step-by-step explanation:

Tn = a+(n-1) * d

-902 = a + (101-1) * -9

-902 = a - 900

a = -902 + 900

a = -2

the length of a rectangle plus its width is 35 cm the area 306 what are the length and width of the rectangle

Answers

Step-by-step explanation:

Let width be w, length be l

l + w = 35, so w = 35 - l

lw = 306

l(35-l) = 306

35l - l^2 = 306

l^2 - 35l + 306 = 0

(l - 17)(l - 18) = 0

l = 17 or 18

When length = 17, width = 35-17 = 18

When length = 18, width = 35-18 = 17

(C) Asri's height is 2x cm. Adib's height is 6 cm less than Asri's height. Irfan's height is 2 times of Asri's height. Write an algebra expression to represent:

(i) Irfan's height, 2 Marks

(ii) the difference in height between Irfan and Asri. 2 marks​

Answers

Step-by-step explanation:

I don't know if I got that right

If the measure of each interior angle of a polygon is 150°, how many sides does it have?

Answers

12 sides Explanation: Its interior angle has measure 150∘. Therefore, the exterior angle has measure 180∘−150∘=30∘. Therefore, the number of sides of the regular polygon with interior angle 150∘ is 12.

Please help me on this!

Answers

Answer:

B. the value depreciates at a rate of 5% each year

Step-by-step explanation:

(1 - 0.05) = .95

-0.05 = depreciates by 5%

Have a nice day! :)

The following data set represents the age of
people in line to vote.
27, 52, 64, 41, 33, 38, 42, 60, 72,68
Mean:
Median:

Answers

[tex]\huge\text{Hey there!}[/tex]


[tex]\huge\textsf{Breaking the meaning down in simpler terms}[/tex]
[tex]\huge\textbf{Median:}\\\large\text{is understood to be \bf the number in the center (also known as}\\\large\textbf{the middle number)}[/tex]


[tex]\huge\textbf{Mean:}\\\large\text{is understood to be the \bf total.}[/tex]

[tex]\huge\textsf{Formulas for each term}[/tex]

[tex]\huge\text{Median:}\\\large\textsf{To find the median you have to put each of your numbers in your data}\\\large\textsf{set from LEAST (smallest) to GREATEST (biggest). }[/tex]


[tex]\huge\text{Mean:}\\\mathsf{\dfrac{sum\ of\ all\ terms}{number\ of\ terms}= mean}[/tex]


[tex]\huge\textbf{SOLVING FOR THE QUESTION}[/tex]

[tex]\huge\textsf{Median:}\\\\\large\textbf{Original data set: }\large\text{27, 52, 64, 41, 33, 38, 42, 60, 72, 68}\\\\\large\textbf{Conversion: }\large\text{27, 33, 38, 41, 42, 52, 64, 68, 72}\\\\\large\textsf{Make sure it is even between both sides of the data plot.}\\\\\large\text{It seems to even on BOTH sides of \boxed{\textsf{14}} so it could possibly be your}\\\large\text{median.}[/tex]

[tex]\huge\textsf{Mean:}\\\\\large\textbf{Original data set: }\large\text{27, 52, 64, 41, 33, 38, 42, 60, 72, 68}\\\\\large\textsf{Your equation: }\mathsf{\dfrac{27 + 52 + 64 + 41 + 33 + 38 + 42 + 60 +72 + 68}{10}}\\\\\mathsf{\dfrac{79 + 64 + 41 + 33 + 38 + 42 + 60 + 72 + 68}{10}}\\\\\mathsf{\dfrac{143 + 41 + 33 + 38 + 42 + 60 + 72 + 68}{10}}\\\\\mathsf{\dfrac{184 + 33 + 38 + 42 + 60 + 72 + 68}{10}}\\\\\mathsf{\dfrac{217 + 38 + 42 + 60 + 72 + 68}{10}}\\\\\mathsf{\dfrac{255 + 42 + 60 + 72 + 68}{10}}[/tex]

[tex]\mathsf{\dfrac{297 + 60 + 72 + 68}{10}}\\\\\mathsf{\dfrac{357 + 72 + 68}{10}}\\\\\mathsf{\dfrac{429 + 68}{10}}\\\\\mathsf{\dfrac{497}{10}}\\\\\mathsf{\approx 49.70}\\\\\large\text{From the looks of it \boxed{\rm{\dfrac{497}{10}}}\ or \boxed{\text{49.70}} could possibly be your mean.}[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]
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