Which piecewise function is shown in the graph?​

Which Piecewise Function Is Shown In The Graph?

Answers

Answer 1

Answer:

The piecewise function is shown in the graph is

f(x) = -0.5x + 1, x < 0          2x - 2,      x ≥ 0 ⇒ A

Step-by-step explanation:

At first, you must find the equation of each line

The form of the equation of the line is f(x) = m x + b, where

m is the slope of the line which = Δy/Δxb is the y-intercept which is the y-coordinate of the point of intersection between the line and the y-axis

From the graph

∵ The line to the left intersects the y-axis at point (0, 1)

b = 1

∵ The line passes through points (0, 1) and (-2, 2)

∴ Δx = -2 - 0 = -2

∴ Δy = 2 - 1 = 1

→ Use them to find the value of m

∵ m = Δy/Δx

∴ m = [tex]\frac{1}{-2}[/tex]

m = -0.5

→ Substitute the values of m and b in the form of the equation above

f(x) = -0.5x + 1

∵ The domain of the function is the values of x

∵ The line starts with an empty circle

→ That means x = 0 does not belong to the domain

∴ The sign of inequality is < without equal

The domain of f(x) is x < 0 ⇒ all values less than 0

∵ We have only one answer has f(x) = -0.5x + 1, x < 0

∴ The graph represents the first answer A

The piecewise function is shown in the graph is

f(x) = -0.5x + 1, x < 0           2x - 2,     x ≥ 0
Answer 2

Answer:

a

Step-by-step explanation:


Related Questions

The mean of 4 numbers is 40 what is the sum of the 4 numbers​

Answers

Answer:44.445

Step-by-step explanation:

Let the 5 numbers are a,b,c,d, and e

so (a+b+c+d+e)/5=40

So a+b+c+d+e=5*40=200

Now let the next 4 no are p,q,r,s then

(p+q+r+s)/4=50

p+q+r+s=200

Thus sum of all 9 numbers

=(a+b+c+d+e) +(p+q+r+s)

=200+200=400

thus average of these 9 numbers

If the mean of 4 numbers is 40. Then the sum of the numbers will be 160.

What is Mean?

The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean.

The mean of 4 numbers is 40.

Mean = (Sum of the number) / (Number of the observation)

Mean = 40

Number of the observation = 4

Then the sum of the numbers will be

                             40 = (Sum of the number) / 4

Sum of the numbers = 160

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6y+11=3y+5y
what does y=​

Answers

Answer:

y=11/2

Step-by-step explanation:

6y+11=3y+5y

11=3y+5y-6y

11=2y

11/2=y

Will give brainliest if correct.

Answers

x intercept is (-4,0)

y intercept is (4,0)

Greg earns a salary of $300 per week plus an additional 6% commission on his sales. If his weekly salary increases by $50 and his commission increases to 7% how much will Greg earn if his weekly sales are $4,000?

Answers

Answer:

630

Step-by-step explanation:

350+4000(0.07)

350+280

=630

I think this is right

y=2y+1/5 solve for y

Answers

Answer:

y = -1/5

Step-by-step explanation:

y = 2y + 1/5

y - 2y = 1/5

-y = 1/5

y = -1/5

The value of y for y=2y+1/5 is -1/5.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

y=2y+1/5

Now, solving for y

y- 2y= 1/5

-y= 1/5

y= -1/5

Hence, the value of y is -1/5.

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Maggie spent $50 buying 11 magazines.Some of the magazines cost $4 and the rest cost $5.How many $5 magazines did she buy?

Answers

Answer: She bought 6 $5 magazines and 5 $4 magazines

Step-by-step explanation:

She bought 6 magazines for $5 you should get it right

John is 1.6 m tall. robbin is 156 cm tall what is the ratio of johns' height to robbins height?

Answers

Answer:

johnns height 4cm to Robin's height

The ratio of John's height to Robin's height is 20:19.

To find the ratio of John's height to Robin's height, we need to convert their heights to the same unit of measurement. Let's convert Robin's height from centimeters to meters:

Robin's height = 156 cm = 156/100 m = 1.56 m

Now that both heights are in meters, we can calculate the ratio:

John's height: Robin's height = 1.6 m : 1.56 m

To simplify the ratio, we can divide both heights by the same value:

1.6 m : 1.56 m = (1.6/0.08) m : (1.56/0.08) m = 20 : 19

Therefore, the ratio of John's height to Robin's height is 20:19.

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Jacob wants to buy shirts online. Each shirt costs 200 pesos. The
shipping cost is 120 pesos. Write the linear equation representing the
following:
1. Total cost that Jacob will pay after ordering the shirt in slope-
intercept form?
2. Total cost that Jacob will pay after ordering the shirt in standard
form?

Answers

Answer:

1)  y = 200x + 120

2) - 200x + y = 120

Step-by-step explanation:

Equation of the line

The equation of the line in standard form is:

Ax + By = C

Where A, B, and C are constants.

The equation of the line in slope-intercept form is:

y = mx + b

Being m the slope and b the y-intercept.

1)

Each shirt costs 200 pesos. Let's assume Jacob purchases x shirts. The cost of the shirts alone is 200x.

Assuming the shipping cost is 120 regardless of the purchased shirts, then the total cost is:

y = 200x + 120

This is the slope-intercept form of the line.

2) Rearranging the above equation:

- 200x + y = 120

It's the standard form of the line

What is the area of this triangle?

Answers

Answer:

120

Step-by-step explanation:

im sorry if its wrong but i think its correct

The area of that triangle is 240, all you have to do is multiply both of those number and you will get your answer. Hope this helped :)

Sushil was thinking of a number. Sushil divides by 7, then adds 12 to get an answer of 10. What was the original number?

Answers

Answer:

x=-14

Step-by-step explanation:

think the number is x

According to the question

x/7+12=10

=>x+84=70 (multiply both side by 7)

=>x=70-84

x=-14

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What is the shape of the cross section of the figure that is perpendicular to the triangular bases and passes through a vertex of the triangular bases?

A triangular prism.
a parallelogram that is not a rectangle
a rectangle
a triangle that must have the same dimensions as the bases
a triangle that may not have the same dimensions as the bases

Answers

The answer is a papallelogram that is not a rectangle.

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Answers

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Hint :

Equilateral triangle has same sides and same angles.

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Suppose that one of the angles has a measure of y .

So angles are : y , y and y

_________________________________

Sum of the interior angles of any triangle is 180° .

_________________________________

According above :

[tex]y + y + y = 180°[/tex]

[tex]3y = 180°[/tex]

Divide sides by 3

[tex] \frac{3y}{3} = \frac{180}{3} \\ [/tex]

[tex]y = 60°[/tex]

We found that the measure of the angles are equal , so this is the measure of all three angles.

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Question gave us one of the angles as

4x -12 .

So ;

[tex]4x - 12 = 60[/tex]

Add sides 12

[tex]4x - 12 + 12 = 60 + 12[/tex]

[tex]4x = 72[/tex]

Divide sides by 4

[tex] \frac{4x}{4} = \frac{72}{4} \\ [/tex]

[tex]x = \frac{9 \times 2 \times 4}{4} \\ [/tex]

[tex]x = 9 \times 2[/tex]

[tex]x = 18[/tex]

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We found that sides are same ,

So :

[tex]BZ = DB = DZ = 7x + 119 \\ [/tex]

Thus :

[tex]DB = 7x + 119[/tex]

[tex]DB = 7(18) + 119[/tex]

[tex]DB = 126 + 119[/tex]

[tex]DB = 245[/tex]

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The correct answer is Option three .

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what is the answer to this equation 100 + 30x = 50x

Answers

Answer:

Solution  = = 5

Step-by-step explanation:

1. Rearrange Terms

100 + 30x = 50x

30x + 100 = 50x

2. Subtract 100 from both sides

3. Simplify

4. Subtract 50x from both sides

5. Simplify

Please let me know if you need anymore help!

Thank You and Good Luck! :)

What is the value of k?

Answers

Answer:

k =5

Step-by-step explanation:

triangle =180

180-115=65

65-10-5=50

50/ (4+6)= 5

Which geometric shape would best describe a flashlight?
cylinder
hemisphere
rectangular prism
sphere

Answers

Answer:

cylinder

Step-by-step explanation:

Peter cuts lawns and makes $40 per lawn. He spends $10/day in work expenses. Write an equation in the form y = mx + b to represent this situation.

Answers

Answer: y= 40x-10 , where = number of lawns.

Step-by-step explanation:

In linear equation y= mx+b with one variable x, m= slope , b= y-intercept.

[Slope rate of change of y with respect to x, y-intercept = initial value of y at x=0]

Given: Peter cuts lawns and makes $40 per lawn.

let x = number of lawns

i.e. slope = $40

He spends $10/day in work expenses.

i.e.  y-intercept = -10  [for each day]

So equation becomes : y= 40x-10 , where = number of lawns.

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Answers

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Starting from the point-slope equation ...

  y -y1 = m(x -x1)

Solving for y gives ...

  y = mx +(y1 -m·x1)

So, the slope-intercept form equation is fairly easily found:

  y = mx +b . . . . where m = m, and b = y1-m·x1

This is the equation we have used for 'b' in the attached spreadsheet.

__

Of course, the formula for slope is ...

  m = (y2 -y1)/(x2 -x1)

This is the equation we have used for 'm' in the attached spreadsheet. For all problems, we have used the first point. (It doesn't matter which point you use if there are two of them.)

__

The second attachment is the Google Sheets spreadsheet saved in ODS format. Most spreadsheet programs should be able to open that so you can see the formulas, if you're interested. (The gray values of m are computed using the two points. The unshaded values of m are entered by hand.)

_____

I'll write a couple of equations in each group so you can see how the spreadsheet numbers relate:

  y = mx +b

1.  y = 2x -7

3.  y = 2/3x +4

8.  y = 1/3x -5

9.  y = -5/2x +4

BRAINLIEST - 6TH GRADE MATH - 25 POINTS

Bob has to run some errands around town. Look at the map below to calculate his distance if he starts at home, goes to the video store, then the grocery store, grabs a fast snack, and ends at home. How many units did he walk?

Answers

Answer:

I believe the answer is 19

Answer:

Bob walked 18 units

Step-by-step explanation:

6+3+6+3=18

81538 ÷ 42 = _______ ( Round to four decimal places as needed) ASAP​

Answers

Answer:

1,941.381

Step-by-step explanation: Original answer is 1,941.38095

By rounding to the fourth decimal place = 1,941.381

If option A is 20 dollar payment and option B requires 50 dollar payment. The opportunity cost of option A would be ------- and option B would be --------. a) nothing and 30 dollars. b) 70 dollar and nothing c) 30 dollar and nothing

Answers

Answer:

a) nothing and 30 dollars.

Step-by-step explanation:

Opportunity cost usually arises when faced with choices or alternatives such that one has to be chosen, while the other is forgone. The benefits forgone by choosing a certain option of the available choices is called opportunity cost.

Given that :

Option A requires $20 payment

Option B requires $50 payment

Opportunity cost of choosing A = nothing (since payment required for the other alternative is higher than the chosen option)

Opportunity cost of Choosing B = ($50 - $20) = $30 (By choosing option B over option A, $30 was forgone as the other option (option A requires $30 lesser payment)

1/4(z +3z)+ 7=−z + 1 please help with this ive been stuck

Answers

Answer:

z = -3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

z+7=−z+1

Step 2: Add z to both sides.

z+7+z=−z+1+z

2z+7=1

Step 3: Subtract 7 from both sides.

2z+7−7=1−7

2z=−6

Step 4: Divide both sides by 2.

2z   =  −6

2      2

z=−3

Answer:

Why you delete my answer

Step-by-step explanation:

How many 4-digit numbers can you write if you can use only digits 1 and 2?

Answers

Answer:

Step-by-step explanation:

Thus if you are not allowed to repeat a digit the number of possible 4 digit numbers you can construct from 1,2,3,4 is 4 3 2 1 = 24.

The number of 4-digit numbers can you write if you can use only digits 1 and 2 is 16.

Given that, using only digits 1 and 2 form 4-digit numbers.

What is digit formation?

Digits are the single symbols used to represent numbers in Maths. For example, in number 89, 8 and 9 are two digits. Hence, the numerals such as 0, 1, 2, 3,4, 5,6,7,8,9, and 0 are the form of digits which are used to represent a combination of numbers and do arithmetic operations in our day to day life.

Here,

For the first digit you are picking from 2 digits.

For the second digit you are picking from 2 digits.

For the third digit you are picking from 2 digits.

For the fourth digit you are picking from 2 digits.

2×2×2×2=16

4-digit numbers

1111, 2111, 1211, 1121, 1112, 1221, 2112, 1122, 2211, 1212, 2121, 2221, 1222, 2122, 2212 and 2222.

Therefore, the number of 4-digit numbers can you write if you can use only digits 1 and 2 is 16.

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Find m<1


Help help help help

Answers

Answer: I'm willing to help but, I can't see the screenshot of wat u need help wit.

25 degrees
73 degrees
60 degrees

A quarter of five less than a number is no more than a third of five more than the same number.

Which of the following inequalities fits the description above?

(1 point)

14(x−5)≤13(x+5)

14(5−x)≤13(5+x)

14×5−x≤13×5+x

x−14×5≤x+13×5

Answers

Answer:

I am pretty sure its a... im doing the same thing and i am kinda thinking its that.

Step-by-step explanation:

Find the y-intercept of the following equation. Simplify your answer. 2x + 7y = –7

Answers

Answer:

y- intercept= -1

Step-by-step explanation:

pt2 please I will give you brainliest :/​

Answers

Answer:

I know that number four is A because the x repeats

Answer: The answer is that number four is A because the x repeats. (For both numbers.)

Step-by-step explanation:

The thread length of a screw is the part of the screw with threads. The function t(x) = |x – 63.75| can be used to find the difference, in millimeters, of a specific screw’s thread length, x, and the expected value. If a screw’s thread has a radius of 35.5 millimeters, the volume of the difference in thread can be calculated by the function V(t) = 1,260.25πt. Which function can be used to find the volume of the difference in thread length depending on the total thread length? V(t(x)) = 1,260.25π|x – 80,347.3125| V(t(x)) = |1,260.25πx – 80,347.3125| V(t(x)) = |1,260.25πx – 63.75| V(t(x)) = 1,260.25π|x – 63.75|

Answers

Answer:DDDDDD

Step-by-step explanation:

Sandra wrote p(x) = 30x + 5x2 in vertex form. Her work is below. 1. p(x) = 5x2 + 30x 2. p(x) = 5(x2 + 6x) 3. (six-halves) squared = 9; 4. p(x) = 5(x2 + 6x + 9) – 5(9) 5. p(x) = 5(x + 3)2 – 45 Describe Sandra’s function. What is the vertex of this function? Is it a maximum or a minimum? What is the axis of symmetry of this function?

Answers

Answer: 1st question• (-3, -45)

2nd question• x= -3

Step-by-step explanation:

just did it on edge

The vertex of the function p(x) = 30x^2 + 5x^2 is (-3,-45), and it is a minimum

The description of the function

The function is given as:

p(x) = 30x^2 + 5x^2

The description of the function is that the function is a quadratic function

The vertex

From the question, we have:

p(x) = 5(x + 3)^2 – 45

A quadratic function represented as: p(x) = a(x - h)^2 + h has the vertex (h,k)

This means that the vertex is (-3,-45), and it is a minimum because a is positive i.e. a = 5

The axis of symmetry

This is the x-coordinate of the vertex.

Hence, the axis of symmetry is x = -3

Read more about quadratic functions at:

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.A club has 18 girls and 12 boys as members. The president wants to break the club into groups, with each group containing the same combination of girls and boys. The president also wants to make sure that no one is left out. What is the greatest number of groups the president can make?

Answers

18 girls and 12 boys 18+12= 30
Brake it up into 15

PLEASE HELP 15 POINTS...PLEASE HELP

Answers

Answer:

The answer is y=-3/4x+2

Answer: (0,2)

Step-by-step explanation:

The y intercept is where the line crosses over the y-axis. Since the line crosses the y axis at (0,2), the y-intercept is (0,2)

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