What function represents this graph??

What Function Represents This Graph??

Answers

Answer 1

The required piecewise function that represents the graph is given as:

[tex]f(x)=\left \{ {{y = -3x-10} \atop y=-\frac{1}{2}x-3 } \atop y=-2x-6 }} \right.[/tex]

Piecewise functions

The graph consists of 3 lines with different equations and slopes. In order to determine the function it represents, we will create a piecewise function.

For the line crossing the negative x-axis

Using the coordinate points (-4, 2) and (-2, -4)

Slope = -6/2

Slope = -3

2 = -3(-4) + b
2 - 12 = b

b = -10

The equation of the line will be y = -3x-10

For the line crossing the negative y-axis

Using the coordinate points (-2, -4) and  (2,-2)

Slope = 2/4

Slope = 1/2

-2 = 1/2(2) + b
-2 - 1 = b

b = -3

The equation of the line will be y = -1/2x-3

For the line crossing the positive x-axis

Using the coordinate points (2, -2) and (3, 0)

Slope = 2/1

Slope = 2

0 = 2(3) + b
0 - 6 = b

b = -6

The equation of the line will be y = 2x-6

The required piecewise function that represents the graph is given as:

[tex]f(x)=\left \{ {{y = -3x-10} \atop y=-\frac{1}{2}x-3 } \atop y=-2x-6 }} \right.[/tex]

Learn more on piecewise function here: https://brainly.com/question/18499561

#SPJ1


Related Questions

Construct a rectangle with sides 6cm and 4cm.​

Answers

Answer:

Step-by-step explanation:

Answer:

First, draw a line segment AB = 6 cm.Draw a ray AX with pencil and compass such that ∠BAX = 90°. Draw an arc of 4 cm with point A which intersects AX at D.Similarly, draw ray BY such that ∠ABY = 90°. Draw an arc of 4 cm with point B which intersects BY at C.Join CD.Thus ABCD is the required rectangle.

When you eat certain foods, sugar is immediately released into your bloodstream. many doctors say kids should only take in 6 teaspoons (24 grams) of added sugar each day. jack is making lemonade for his school and wants to follow that recommendation. he wants to make 206 servings, following the recommendation, how many grams of sugar will he use?

Answers

Answer:

4,944

Step-by-step explanation:

What is the answer to the question?

Answers

Answer:

See attached file for answers and explanation.

Step-by-step explanation:

See attached image.

Quadratic Equation Question

Answers

Answer: 0.68 or 13.92

Step-by-step explanation:

If the height is 47 meters, then the height, h, is equal to 47.

[tex]47=73t-5t^2\\\\5t^2 - 73t+47=0[/tex]

Using the quadratic formula,

[tex]t=\frac{-(-73) \pm \sqrt{(-73)^{2}-4(5)(47)}}{2(5)}\\\\\\t=\frac{73 \pm \sqrt{4389}}{10}\\\\\\ t=\frac{73+\sqrt{4389}}{10}, \frac{73-\sqrt{4389}}{10}\\\\\boxed{t \approx 0.68, 13.92}[/tex]

Suppose the u.s. government put a 'special 20 percent luxury tax' on the retail price of expensive and fancy yachts in order to collect more taxes from boat owners. assume the price elasticity for these yachts is elastic at 2.50. conclusion: we can probably expect that yacht sales will go down and the government will not collect lots of new tax revenues.

Answers

True. We can probably expect that yacht sales will go down and the government will not collect lots of new tax revenues.

It is given that the US government has put a 20% luxury tax and the price elasticity for these yachts is elastic at 2.50.

Due to the new tax on luxury goods, it can be estimated that the sales of yachts go down as the maximum retail price of the yachts will become more expensive. This can mean that fewer people than before will be able to afford the yachts. Due to fewer sales, the government will not have enough tax revenues.

To learn more about price elasticity visit: https://brainly.com/question/4610585

#SPJ4

Find the equivalent exponential expression. (5^5)^4

Answers

Answer:

5^20

Step-by-step explanation:

since you have brackets around (5^5) you can multiply the exponents. if you think about it what you're essentially doing is

(5 * 5 * 5 * 5 * 5) * (5 * 5 * 5 * 5 * 5) * (5 * 5 * 5 * 5 * 5) *

(5 * 5 * 5 * 5 * 5)

which is why you can multiply the exponents to simplify

On Friday, a local hamburger shop sold a combined total 312 of hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Friday?

Answers

102 hamburgers were sold
Explanation: 312/3= 102
102 x 2 = 204
312-204= 102
204 cheeseburgers were sold
102 hamburgers were sold

Parallelogram ABCD has vertices: A(-3, 1), B(3, 3), C(4, 0), and D(-2, -2). In two or more complete sentences, explain how you can use the coordinates of the vertices to prove that parallelogram ABCD is a rectangle.

please help

Answers

Step-by-step explanation:

via the distance formula (based on Pythagoras) I can prove that ABC is a right-angled triangle, and that ADC is fully congruent to ABC.

so, together these 2 triangles (joined at their Hypotenuses, the diagonal AC) build a rectangle.

A man bought a car for Gh55,000.00 and sold it for Gh65,000.00. Find the percentage gain.

Answers

Answer:

18.18%

Step-by-step explanation:

(65000-55000)/55000×100

What is the slope of a line that is parallel to the line y = 3/4x + 2?

Answers

Answer:

in this form the first one next to the x is the slope and the added value is the y intercept

if something is parrell that means the same slop so

3/4

Hope This Helps!!!

The slope is 34) I don’t know if it’s correct for sure!

Line I is a perpendicular bisector

Answers

Line I is a perpendicular bisector because it bisects another line at right angles via the point of intersection or midpoint. See the Perpendicular Bisector Theorem below.

What is the perpendicular bisector theorem?

According to the theorem of perpendicular bisector, any locus on the perpendicular bisector is equidistant from the terminal points of the line segment on which it is created.

Thus, Line I is a perpendicular bisector because it bisects another line at right angles via the point of intersection or midpoint. See the attached image.

Learn more about perpendicular bisectors at:
https://brainly.com/question/11006922
#SPJ1

Estimate the solution to the following system of equations by graphing.

Answers

the correct answer is C

in the diagram, triangle ABC is similar to triangle EDC. a. is line AB parallel to line DE? b. show that triangle ACD is similar to triangle ECB. c. find the measure of angle CAD. d find line ED. e. find line AD explain your reasoning

Answers

The measure of the angle CAD is 40 degrees, the length of ED is 12 units, and the length of AD is 12 units.

What is the similarity law?

It is defined as the law to prove that the two 2-dimensional have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

Triangle ABC ~ EDC

Angle ACD = Angle BCE = 90 degree  (vertically opposite angle)

Angle ACB = Angle DCE = 90 degree  (vertically opposite angle)

BE ║ AD

Angle EBC = Angle CDA = 40 degree  (alternative angles)

Triangle ABC ~ Triangle EDC

Angle ABC = Angle CDE

Angle BAC = Angle DEC

∴ AB ║ DE

Triangle ACD ~ Triangle ECB

Angle EBC = Angle CDA and

Angle BEC = Angle CAD

∴ Triangle ACD ~ Triangle ECB

Angle A + Angle E = 180 degree

∠x + 50 + 50 + ∠x = 180

∠x = 40

Angle CAD = 40 degree

We know,

Angle A = Angle E = Angle B = Angle D = 90 degree

So ABCD is a square

AB = ED = 12

AD = AB  = BE = ED = 12

Thus, the measure of the angle CAD is 40 degrees, the length of ED is 12 units, and the Length of AD is 12 units.

Learn more about the similarity here:

brainly.com/question/8045819

#SPJ1


Label the vertices and all the elements needed. Find x. Give reasons!

Answers

Answer:

Step-by-step explanation:

What is the sum of the polynomials?
(6x+7+x²) + (2x²-3)
-x²+6x+4
3x²+6x+4
9x + 4
9x² +4

Answers

Answer:

3x^2 + 6x + 4

Step-by-step explanation:

6x + 7 + x^2 + 2x^2 - 3 = 3x^2 + 6x + 4

Answer:

3x²+6x+4

Step-by-step explanation:

Given:

(6x+7+x²) + (2x²-3)

Aim:

To add the polynomials

Solution:

Removing brackets first:

6x+7+x²+2x² - 3

Collecting like terms to each other,

6x+7-3+2x²+x²

Simplifying,

6x+4+3x²

Rewriting it as,

3x²+6x+4

Second choice is accurate.

Which inequality is shown in this graph?
OA. ys-3x+3
OB. y2-3x+3
OC. ys 3x+3
OD. y23x+3

Answers

Answer:

A

Step-by-step explanation:

The line is shaded below, so we can eliminate B and D.

Also, the line has negative slope, so this eliminates C.

The inequality of the graph is y ≤ -3x + 3.

The correct option is A.

What is inequality?

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

The inequality graph has two points on the line (0, 2) and (2, -3).

And the shaded region of the graph is left to the line made by points (0, 2) and (2, -3).

The line passing through the points (0,2) and (2,-3) can be written in a slope-intercept form as:

y = mx + b

where m is the slope and b is the y-intercept.

The slope of the line is given by:

m = (y2 - y1) / (x2 - x1) = (-3 - 2) / (2 - 0) = -5/2

The y-intercept can be found by substituting the coordinates of either point into the equation:

y = mx + b

2 = (-5/2)(0) + b

b = 2

So the equation of the line is:

y = (-5/2)x + 2

The shaded region of the graph is to the left of this line. Since the line has a negative slope, any point below the line will satisfy the inequality y ≤ -3x + 3. Therefore, the correct answer is A.

To learn more about inequality;

brainly.com/question/28823603

#SPJ7

ignore the answer i clicked on, i did not mean to click it

Answers

Answer:

20√2

Step-by-step explanation:

The diagonal of a square is given as, √2 × side. Rearranging this formula to calculate the side of the square, we get, side = diagonal/√2 = (√2 × diagonal)/2 . Thus, the perimeter of the square can be calculated using the formula, P = 2√2 × diagonal.

Diagonal = 5 * 2 = 10

P = 2√2 * 10

P = 20√2

Shape a is enlarged to give shape b a) what is the scale factor of the enlargement? b) mark with a cross the centre of enlargement

Answers

The scale factor of the enlargement will be 3. Then the center of enlargement is marked in the diagram.

What is dilation?

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

Shape A is enlarged to give shape B.

Then the scale factor of the enlargement will be

⇒ 3 / 1

Then the center of enlargement is marked in the diagram.

More about the dilation link is given below.

https://brainly.com/question/2856466

#SPJ1

Marilyn is having shelves installed to create a corner pantry. the length of one wall is 21 inches and the length of the other wall is 25 inches. the contractor who is making the shelves, which are shaped like right triangles, needs to know the measure of the angle opposite the short side of the pantry, m∠a. what is the measure of that angle? round your answer to the nearest degree.

Answers

Answer:

He says the answer is 40°

Step-by-step explanation:

Answer is on brainly, here is the link to the answer. Hope it helps with your question!

https://brainly.com/question/4354055?referrer=searchResults

Hope this helps!

If not, I am sorry.

The graph below shows the solution to which system of inequalities?

Answers

Answer:

C

Step-by-step explanation:

The horizontal line, y=2, is solid and shaded above, so it represents

[tex]y \geqslant 2[/tex]

The slanted line, y=x is dashed and shaded below, so it represents y<x.

Answer

Answer is A

Step-by-step explanation:

Find the length of the unknown side. Round your answer to the nearest whole number.
Image of a right triangle with legs labeled 7 meters each. The hypotenuse is unknown.

7 meters
9 meters
10 meters
12 meters

Answers

Answer: 10

Step-by-step explanation:

√( 7^2 + 7^2 ) = 10

r,u,t,s are positive

RXS=15
SXT=3
TXV=7
RXV=??

Answers

Answer:

35

Step-by-step explanation:

R × S = 15 could be 5 × 3 = 15, 3 × 5 = 15

                               15 × 1 = 15, 1 × 15 = 15

S ×T =3 From our previous step we can see that S could be 1 or 3 or 5 or 15.

            Given that S×T =3, will make sense that S is 1 or 3

            If S is 1 then T is 3 and if S is 3 then T is 1, so multiplied will give 3.

T×V=7 From previous step we see that T could be 1 or 3.

           Since T×V = 7 it will make sense that T is 1, and therefore V is 7.

T ×V = 7,  S ×T =3, R × S = 15, R × V = ??

1 × 7 = 7,  S ×1 = 3, R × 3 = 15, 5 × 7 = ??

               3 ×1 = 3,  5 × 3 = 15, 5 × 7 = 35

erved,
The graph of function fis shown on the coordinate plane. Graph the line representing function g, if g is defined as shown below.
g(x) = 2f(x-1)

Answers

Using the graph attached, If g(x) = 2f(x-1), the graph of the function will be:  g(x) = x - 7.

What is the function about?

Using the graph, the function is:

f(x-1) =1/2 (x-1) - 3

f(x-1) = 1/2x - 1/2 - 3/1

f(x-1) = 1/2x - 7/2

So:

g(x) = 2f(x-1)

g(x) = 2 (1/2x - 7/2)

g(x) = x - 7

Therefore,:

At  x = 0,  y = -7

y = 0, x = -7

Thus, Using the graph attached, If g(x) = 2f(x-1), the graph of the function will be:  g(x) = x - 7.

Learn more about graph function from

https://brainly.com/question/4025726

#SPJ1

Got it right on Plato/Edmentum UωU <3

Identify the height of a triangle in which b=12 m and A=(18x−6) m^2. SHOW YOUR WORK!!!

Answers

Answer:

[tex]3x-1[/tex]

Step-by-step explanation:

The formula to find the area of a triangle:

[tex]A = \frac{bh}{2}[/tex]

Here, [tex]A[/tex] is the area, [tex]b[/tex] is the base and [tex]h[/tex] is the height.

However, we are looking for height, so let's rearrange the equation for [tex]h[/tex]:

[tex]A = \frac{bh}{2}\\2A = bh\\h = \frac{2A}{b}[/tex]

Now we know the formula to find the height, let's do so:

[tex]h = \frac{2(18x-6)}{12}\\\\h = \frac{36x-12}{12}\\\\h = 3x - 1[/tex]

Therefore, our final answer is [tex]3x-1[/tex].

how many didgits are in 136.08

Answers

Answer:

5

Step-by-step explanation:

Count the digits.

What term does the formula sin A/a = sin B/b represent?

Answers

Answer:

Law of sines

Explanation:

The law of sines states that the ratios of the sines of angles and their opposite sides are equal for all angles inside a triangle.

Step-by-step explanation:

hope you can understand

Divide : (8a^2b^4 - 20a^4b^5 + 48a^6b^6) by 4a^2b^4​

Answers

Hey there ! please refer to the attachment .

I hope its help you !

im always having problems with this i need someone to explain please

Answers

For every meter there are 3.281 feet. The perimeter of the yard is 188ft. Divide 188 by 3.281 and you get 57.3 (rounded to 1dp). Round that up to the nearest meter and you get 58. So, Mr Smith needs 58 meters of fencing for his yard.

Can someone help me on this please

Answers

Answer:

17.7 (2 dp)

Step-by-step explanation:

[tex] \sqrt{ {16}^{2} + {7.5}^{2} }[/tex]

Please Simplify 3√7 / 5√7

Answers

Step-by-step explanation:

please mark me as brainlest

Answer: D) 7^2/15

Step-by-Step Explanation:

= 3√7/5√7
= (7)^1/3 / (7)^1/5
= 7^(1/3 - 1/5)
=> 7^2/15
Other Questions
heet transfer textbook Which are factors of x - 4x - 5? Select two options.(x - 5)0 (x-4)0 (x-2)0 (x + 1)0 (x + 5) What does the author predict about the future of the Earth's mantle? Do you support his educated guess? Use complete sentences to answer. - How many grams are in 1.4 x 105 atoms of calcium? PLS HELP PLS In the diagram below, ABC DEF. Complete the statement A need some help asap, giving brainliest 1) 40 coloumbs of charge flow in 10 seconds. What is the current? simplify (8x^2y^3)/(2x^4y) Help me pleaseeeeeeeeeeeeeeeeeeeeee A management perspective that suggests jobs should be designed to meet higher-level needs by allowing workers to use their full potential is called a a car with a mass of 2,00 kg travels a distance of 400 m as it moves from one stoplight to the next . as its fastest , the car travels at 18 m/s. what is its kinetic energy at this point? Changes in an individual's behavior resulting from previous experiences is: Proponents of which major theoretical perspective believe that behavior is largely motivated by subconscious inner forces and memories?. Given a function f : a b and a subset y b, is f (f 1 (y)) = y always true? prove or give a counterexample For the graph y=41 find the slope According to the table below, which of these is a possible taxable income fora taxpayer filing with the Single filing status in the 33% federal income taxbracket? 1. In a class of 24, 3 students were absent, What fraction of class is present 2. Karen taped a television show that lasted 1h 30mins. On the same tape she recorded another 2 shows that were 5/6h each. What time was still left on the 4h tape. 3. Steve ordered 12 lengths of timber, each 6m long. He cut 6 lengths into 1 1/2m pieces and the other 6 lengths into 3/4 pieces A. How many pieces together is this? B. Was there any waste? In the interior of the Arctic islands during the melting season , even small streams must be crossed [ A ] with great care [ B ] because near - zero water temperatures and the ICI typically rocky and unstable nature of [D ] stream beds . [ E ] No error Question6 Multiple Choice Worth 3 points)Which of the following best describes the United States?O It has a market economy with no government regulation. This is the only system that can work with a government run by the peopleO It has a command economy. A large nation like the United States needs the government to control all growth of business to prevent problemsO It has a traditional economy. Most communities are focused on providing their own needs with the resources available in the local area.O It has a mixed economy. The government protects individual rights, such as minimum pay for work and choices in goods and services What are the solutions to the system of equations? Graph the system of equations to solve. (4,2) and (2,1)(0,0) and (4,2)(0,0) and (0,2) (2.9,0) and (2.9,0)