suppose that the function g is defined on the interval (-2, 2] as follows.​

Suppose That The Function G Is Defined On The Interval (-2, 2] As Follows.

Answers

Answer 1

Answer:

We conclude that:

g(-1) = -1g(-0.25) = 0g(2) = 2

Step-by-step explanation:

From the given function g(x)

g(x) =   -1   if -2 < x ≤ -1

           0   if  -1 < x ≤ 0

            1    if  0 < x ≤ 1

            2   if  1 < x ≤ 2

 

When x = -1, then the correct value of g(-1) will be:

g(-1) = -1

The reason is that the output value of -1 includes the value of x = -1 in the interval, as  -1  if -2 < x ≤ -1 .

When x = -0.25, then the correct value of g(-0.25) will be:

g(-0.25) = 0

The reason is that the output value of 0 includes the value of x = -0.25 in the interval, as  0   if  -1 < x ≤ 0

When x = 2, then the correct value of g(2) will be:

g(2) = 2

The reason is that the output value of 2 includes the value of x = 2 in the interval, as 2   if  1 < x ≤ 2.

Therefore we conclude that:

g(-1) = -1g(-0.25) = 0g(2) = 2

Related Questions

Need help please...........

Answers

the missing angle is 49 :)

Answer:

49 is the missing angle.

Step-by-step explanation:

just add the other angles then subtract by 180 to get your answer! have a nice day!

how many solutions can be found for the equation 4x-8-4x=9

Answers

Answer:

no solutions

Step-by-step explanation:

umm..HELP me i don't get it!!!!!

Answers

Answer:

I think its C

Step-by-step explanation:

Because if you add the bottom together you get [tex]\frac{1}{\frac{1}{2x+5} }[/tex]. When you divide the bottom part flips so it would be [tex]1*2x+5[/tex] which ends up being C

I think this is right but I may be wrong

Answer:

B

Step-by-step explanation:

Simplify the sum on the denominator, that is

[tex]\frac{1}{x+2}[/tex] + [tex]\frac{1}{x+3}[/tex]

multiply numerator/ denominator of first fraction by x + 3

Multiply numerator/ denominator of second fraction by x+ 2

= [tex]\frac{x+3}{(x+2)(x+3)}[/tex] + [tex]\frac{x+2}{(x+2)(x+3)}[/tex]

= [tex]\frac{2x+5}{x^2+5x+6}[/tex]

The original fraction is now

[tex]\frac{1}{\frac{2x+5}{x^2+5x+6} }[/tex]

= 1 × [tex]\frac{x^2+5x+6}{2x+5}[/tex]

= [tex]\frac{x^2+5x+6}{2x+5}[/tex] → B

the equation of a line going through the point (9,2) and (-15,2)

Answers

Answer:

y = 2

Step-by-step explanation:

The local high school is having tryouts for the cross country team. The school does not have a track, so the runners run around the school’s football field. The cross country coach determines that the width of the field is seventy yards shorter than the length.

Answers

Complete Question

The local high school is having tryouts for the cross country team. The school does not have a track, so the runners run around the school's football field. The cross country coach determines that the width of the field is seventy yards shorter than the length.

Part A

Write an expression that represents the perimeter of the football field. Let x Represent the length of the football field. Include parentheses in your expression. Next, write an equivalent expression that does not include parentheses.

Part B

The cross country coach later determines that the length of the football field is 120 yards. All students must run five laps. Using your answer from Part A, determine the actual number of yards that each athlete must run in the tryouts. In order to make the team, students must complete the laps in 6 minutes. How quickly must they run each lap?

Answer:

 [tex]p=4A-140[/tex]

[tex]T =or 62sec[/tex]

Step-by-step explanation:

From the question we are told that

The width of the field is seventy yards shorter than the length.

a) Generally the equation for width and length is given as

         [tex]B=x-70[/tex]

Mathematically  in finding the perimeter [tex]p[/tex] around the field

         [tex]p=2(A+B)[/tex]

         [tex]p=2(2A-70)[/tex]

         [tex]p=4A-140[/tex]

b)Generally[tex]A=120[/tex]

Mathematically

         [tex]p= 4(120) -140[/tex]

         [tex]p=480-140[/tex]

         [tex]p= 340[/tex]

Therefore

Yards ran by individual athlete[tex]Y[/tex]

          [tex]340*5=1700\\Y=1700[/tex]

Time elapsed in a lap T

    [tex]T=\frac{340}{1700} *6\\T=1.2min[/tex]

    [tex]T =or \hspace 662sec[/tex]

Help again lol I'm giving brainlisttttttt

Answers

5x-10 is the area. There is no other way to solve it from the pic

Answer:5 multiplied by x-2

x-2 multiplied by 5

Step-by-step explanation: I hope this helps!

I'm not sure If flipping the equation counts but that's what I think would be right.

Question 9 of 10
What is the slope formula?

Answers

Answer:

Step-by-step explanation:

D

D is the slope formula

Mrs Shakya sold a jewellery at a loss of 5%.If she had sold it at Rs,5200 more she would have gained 8% .Find the cost price of the jewellery.

Answers

Answer:

40,000

Step-by-step explanation:

Given that:

Percentage Cost price of jewelry = 100%

Jewelery was sold at loss of 5% = (100%- 5%) = 95%

If sold at 5200 more ; profit made = 8%

That is ; (100% + 8%) = 108%

Difference between loss percentage and profit percentage = change in price sold

(108% - 95%) = 5200

13% = 5200

If ;

0.13 = 5200

The percentage cost price = 100% will be;

0.13 = 5200

1 = x

0.13x = 5200

x = 5200 / 0.13

x = 40,000

An electrician charges $75 per hour on top of a set fee of $50 for every house call. Write an equation for C, in terms of t, representing the total cost of the electrician's services if the electrician spends t hours at the house working.

C=?

Please help

Answers

Answer:

C= 75t + 50

This is the equation to use.

The equation that represents the total cost for a house will be C = 75t + 50.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

An electrical expert charges $75 each hour on top of a set expense of $50 for each house call.

Let 't' be the number of hours and 'C' be the total cost of the service. Then the equation is given as,

C = 75t + 50

The condition that addresses the all-out cost for a house will be C = 75t + 50.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ2

What is the value of p

Answers

Answer:

p = 2

Step-by-step explanation:

p + 4/p - 4

multiplying through by p,

p×p + 4/p ×p - 4×p

p² + 4 - 4p = 0

p² - 4p + 4 = 0

factorizing,

p(p - 2) -2(p - 2) =0

(p -2)(p -2) =0

p-2 =0

p=2

PLEASE PLEASE ANSWER THIS FOR ME I REALLY NEED TO UNDERSTAND IT

"FIND THE COLOURED AREA IN THE FOLLOWING SHAPES"

HELP PLEASE

Answers

Answer:

See answers below for explanations (answers are in bold)

Step-by-step explanation:

Problem 1 (Top left):

Assuming that the shape is an ellipse, we will use the formula A=πab where a and b are both half the major and minor axis respectively. Since a=9 and b=6, then we have A = π(9)(6) = 54π = 169.646 units^2 as our final answer

Problem 2 (Top right):

Again, we use the same equation as in Problem 1 but this time, a=12 and b=8, so we then have A = π(8)(12) = 96π = 301.593 units^2 as our final answer

Problem 3 (Bottom left):

We can make this irregular shape into a half-ellipse and a rectangle. We would find their separate areas and add them up. The area of the half-ellipse would be A=1/2πab. The value of "a" would be 13.8/2=6.9 since that's the length of the rectangle. The value of "b" would be 3.5, so that means the area of the half-ellipse would be A = 1/2(π)(6.9)(3.5) = 12.075π = 37.935 units^2.  The width and length of the rectangle are 5.4 and 13.8 respectively, so this means the area of the rectangle is 5.4*13.8 = 74.52 units^2. Combining both areas, we get 37.935+74.52 = 112.455 units^2 as our final answer

Problem 4 (Bottom right):

This irregular shape is an ellipse, but a circle is missing from its center. Thus, we must find the area of the circle and ellipse and then subtract the circle's area from the ellipse's area. For the area of the ellipse, a=(15.5/2)=7.75, and b=(7/2)=3.5, making its area A = π(7.75)(3.5) = 27.125π = 85.216 units^2. The area of a circle is A=πr² where "r" is the radius. The radius would be 7/2=3.5, making the circle's area A = π(3.5²) = 12.25π = 38.485 units^2. This means that the shaded area is 85.216-38.435 = 46.781 units^2  

Billy has 2.4 m of ribbon for crafts. He wants to share it evenly with 12 friends. Billy has been making craft projects for several years now. How many centimeters of ribbon would 7 friends get?

Answers

Answer:

140 cm

Step-by-step explanation:

Given that:

Total length of ribbon present with Billy = 2.4 m

This ribbon is to be shared with 12 friends evenly.

Billy is doing this work of making craft for the past many years.

To find:

How many centimeters of ribbon that 7 friends will get?

Solution:

First of all, let us find out what length of ribbon will each person get.

Length of ribbon to be shared with each person = Total length of ribbon divided by total number of persons

Length of ribbon to be shared with each person = [tex]\frac{2.4}{12} = 0.2\ m[/tex]

Now, The length of ribbon that 7 friends will get = 7 [tex]\times[/tex] 0.2 = 1.4 m

1 m = 100 cm

1.4 m = 1.4 [tex]\times[/tex] 100 cm = 140 cm

Tyra competed on a trivia game show. 10 points were awarded for correct answers, and 5 points were deducted for incorrect answers. She answered 2 questions correctly, but answered one incorrectly. How many points does she have?

Answers

Answer:

15

Step-by-step explanation:

10+10-5=15

Answer:

It is 15

Step-by-step explanation:

Hope this helped have an amazing day!

The Mathletes Club is printing t-shirts for its 15 members. The printing company charges a certain amount for each shirt plus a setup fee of $20.

If the t-shirt order costs a total of $162.50, how much does the company charge for each shirt?

Answers

Answer:

it is $10.83

Step-by-step explanation:

Midway through the fundraiser, Mrs Little, the sponsor, discovers a container of buttermilk in the back of the fridge. It has 6 cups of buttermilk in it. How many recipes will this make? each recipe calls for 7/8. cup of butter milk.​

Answers

Answer: 6 recipes

Step-by-step explanation: Just divide the 6 cups of buttermilk by 7/8 because each recipe need 7/8 cup of butter milk. You will get a number like this 6.857142857142857 (there are probably more decimals that come after it.) But, all the numbers after the 6 are useless because more recipes can't be made with those because you need at least 7/8  cups for one recipe. So, this will make 6 recipes. Hope this helps!

HAPPY NEW YEAR EVERYONE. HERE IS TODAY'S OPTIONAL CHALLENGE
What is 1567238932 * 1456788345
Try to do this on paper and not with a calculator.
This is optional and if you decide to do it, good luck.

Answers

Answer:

This is a bit complicated, but the answer would be 2.28831354(v)x10(^)18, or otherwise known as 2283135409967847400.

Step-by-step explanation:

Answer:

D A N G uh,

Step-by-step explanation:

i dont think any person can physically do that

proof i tried ;-;

Consider the function represented by the equation x – y = 3. What is the equation written in function notation, with x as the independent variable?

f(x) = y + 3
f(x) = –y – 3
f(x) = –x + 3
f(x) = x – 3

Answers

Answer:

f(x) = x – 3

Step-by-step explanation:

The equation that is written in function notation, with x as the independent variable is D. f(x) = x – 3

Calculations and Parameters

To write the equation as an independent variable, we simply need to isolate y.

The next step would be to subtract x from both sides:

-y = 3 - x

To eliminate the -ve sign in y, we would divide both sides by -1

y= -3+x

If we rearrange, the answer would be:

f(x) = x – 3

Read more about equations and functions here:

https://brainly.com/question/961137

#SPJ9

BRO I NEED HELP THIS DUE IN 4 MINS!

Answers

Answer:

440 computers in warehouse B

Step-by-step explanation:

1030=A+B

A=b+150

replace the formula.

a=b+150

so replace the "a"+b=1030

so then it'd be b+150+b=1030

now that's easy.

2b+150=1030

-150       -150

2b=880

/2      /2

b=440

Can a regular polygon have an interior angle of 132 degrees?

Answers

Given:

The interior angle of a regular polygon is 132 degrees.

To find:

The given statement is possible or not.

Solution:

Let as assume the interior angle of a regular polygon with n vertices is 132 degrees.

Then, the exterior angles are

[tex]180^\circ-132^\circ=48^\circ[/tex]

We have, n vertices. So, the number of exterior angles is n.

Sum of all exterior angles = 48n degrees

We know that, sum of all exterior angles of a regular polygon is always 360 degrees.

[tex]48n=360[/tex]

[tex]n=\dfrac{360}{48}[/tex]

[tex]n=7.5[/tex]

Number of vertices is always a whole number. So, it cannot be a fraction value.

So, our assumption is wrong.

Therefore, a regular polygon cannot have an interior angle of 132 degrees.

what does ( 7.8 x 10 to the 3rd) x (1.0 x 10 to the 4th) equal?

Answers

Answer:

7.8 * 10^7

Step-by-step explanation:

Group coefficients together and exponents together to multiply numbers in scientific notation.

( 7.8  *  1 )  ( 10 ^3  * 10^4)

Multiply  7.8 times 1.

7.8 * (10^3 * 10^4)

Use the power rule  a^m * a^n = a^(m+n) to combine exponents. So, add 3 and 4

7.8 * 10^7

plzzz help i will give brainliest if i can

Answers

Answers: choice C and choice E

Plugging x = 3 and y = -1 into both equations of choice C lead to a true result (the same number on both sides). This is why the system of equations listed in choice C is one possible answer. Choice E is a similar story.

If your teacher didn't mean to make this a "select all that apply" type of problem, then it's likely your teacher may have made a typo.

Please help mee!!

How many times larger is the area of the larger rectangle than the area of the smaller rectangle?
12 mm
4 mm
16 mm
48 mm
09
03

Answers

Step-by-step explanation:

the answer is 3

This is because you divide both heights, 12 and

4 and you get 3.

Then divide 48 and 16 which gives you 3.

hope it helps!

Answer:

9!!!  

Step-by-step explanation:

12×48= 576

4×16 = 64

576÷64 = 9

I got it right on my lesson.

A triangle has two sides of length 5 and 19. What is the smallest possible whole-number length for the third side?​

Answers

Answer:

13

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is

difference of 2 sides < x < sum of 2 sides , that is

19 - 5 < x < 19 + 5

14 < x < 24

Thus the smallest whole number length of the third side is 13

You decide to invest $997.90 at an interest rate of 17% l, how long will it take to triple your money? Round to the nearest whole number.

Answers

Answer:

Approximately 18 years

Step-by-step explanation:

Triple: 997.90*3. which is 2993.7

997.90*0.17*x=2993.7

(x is time)

169.643x=2993.7

x=2993.7/169.643

x= approximately 17.64....... years/

18 years.

Hope this helps plz hit the crown :D

At 5.45p.M .,lixin,khairul and Devil are at the starting point of a 1-km circular path. Lixin Takes 18 minutes to walk one round ,khairul needs 360 seconds to run 1 round ansd Devi cycles 2 rounds in 4 minutes .Find the time when all three of them will next meet

Answers

Answer:

[tex]Meeting\ Time = 6:03\ pm[/tex]

Step-by-step explanation:

Given

[tex]Start\ Time= 5:45pm[/tex]

[tex]Lixin = 18\ min/round[/tex]

[tex]Khairul = 360\ seconds/round[/tex]

[tex]Devi = 4minutes/2\ rounds[/tex]

Required

Determine their next meeting time

First, we need to get their unit rate in minutes per round

[tex]Lixin = 18\ min/round[/tex]

[tex]Khairul = 360\ seconds/round[/tex]

Convert 360 seconds to minutes

[tex]Khairul = \frac{360}{60} min/round[/tex]

[tex]Khairul = 6 min/round[/tex]

[tex]Devi = 4minutes/2\ rounds[/tex]

Divide by 2/2

[tex]Devi = 2mins/round[/tex]

So, we have:

[tex]Lixin = 18\ min/round[/tex]

[tex]Khairul = 6 min/round[/tex]

[tex]Devi = 2mins/round[/tex]

Next, is to determine the LCM of 18, 6 and 2

[tex]18=2 * 3 * 3[/tex]

[tex]6 = 2 * 3[/tex]

[tex]3 = 3[/tex]

Their LCM is:

[tex]LCM = 2 * 3 * 3[/tex]

[tex]LCM = 18[/tex]

This means that they will meet 18 minutes after their initial time of departure.

So:

[tex]Meeting\ Time = 5:45\ pm + 18\ minutes[/tex]

[tex]Meeting\ Time = 6:03\ pm[/tex]

The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?

Answers

the answer is 7 because f is a denomination

Answer:

0, -6, 4

Step-by-step explanation:

did it

Go step by step to reduce the radical.
√ 128

√16 • √8

8 √2

8 √4 • √2

Answers

I think its 8×4√16

Explenation:

√128 = 11.3

√16×√8=6.3

8√2= 11.3

so i think you see the patern there and the answer should be 11.3 or 6.3

8√4×√2= 19

19÷2=9.5

9.5÷2=4.75

since 5 is too big to put in the equation and equal 128 then its 4.

To find the second one just do 4², which is 16

So yeah 8×4√16

Please help I’m in finals and I have to complete all my missing assignments

Answers

Answer:

Between 3 and 3.5

Step-by-step explanation:

more than 9 and less than 16. 9 is closer to 10 making it c.

i neeeedd helpp asap

Answers

I think the 3rd one

Answer:

oh it c .

Step-by-step explanation:

Solve for x: -3x - 3 = - 12 ​

Answers

Answer:

-3x-3=-12 +3

-3x=-9 ÷(-3)

x=3

Step-by-step explanation:

prove me wrong

Answer:

x = 3

Step-by-step explanation:

-3x - 3 = -12

    +3     +3

-----------------------

-3x = -9

-3x/3 = -9/3

-----------------------

-x = -3; x = 3

Check Work:

-3(3) - 3 = -12

-9 - 3 = -12

-12 = -12 (true)

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