Match each expression with its value -5,-3,3 or undefined
G(0)
G(0.0001)
G(2.999)
G(3)

Match Each Expression With Its Value -5,-3,3 Or UndefinedG(0)G(0.0001)G(2.999)G(3)

Answers

Answer 1

By using the given graph, we will see that:

G(0) = -5G(0.0001) = -3G(2.999) = -3G(3) = -3How to evaluate function G?

Here we have a graph of function G(x), and we want to evaluate it in different values of x.

To do that, we need to look at the interval where the lines are defined. An open dot means that the endpoint does not belong to the interval, while the closed dot means that the endpoint belongs.

First, G(0).

If you look at the graph, when x = 0 we have a closed dot on the bottom line. That is the line that we need to look to do this evaluation, there we can see that when x = 0, we have G(0) = -5.

Then we have x = 2.999.

Notice that x < 3.

And the second line (the one at y = -3) is on the interval (0, 3].

Then x = 2.999 is included on that interval, it means that:

G(2.999) = -3.

Now we have x = 0.0001

Again, notice that the second line is on the interval (0, 3]

Because 3 > 0.0001 > 0, then:

0.0001 ∈ (0, 3]

From that, we conclude that:

G(0.0001) = -3

Finally:

G(3).

Again, 3 belongs to the interval (0, 3]

Then we use the second line again.

G(3) = -3

If you want to learn more about graphs:

https://brainly.com/question/4025726

#SPJ1

Answer 2

Answer:

G(0) = -5

G(0.0001) = -3

G(2.999) = -3

G(3) = -3

Step-by-step explanation:


Related Questions

What is the missing number below in the solution to 968 divided by 10

Answers

Answer: 484/5

Step-by-step explanation:

For this word problem, it seems confusing with the wording but the equation would just be:

968÷10=x

solving for x, we get 484/5.

hey! Solving linear equations with integers! i don’t think it should be that hard since it’s practice, I just need some help with a bit more problems! :’)

1) -3 ( 3 - x ) = 2x + 5
2) -6 - 9p = + 3p
3) -5 (-4 - a ) = 3a + 8
4) s - 6 = -5s

that should be it! Ty

Answers

Solution 1 :-

>> -3 (3 - x) = 2x + 5

>> -3 × (3 - x) = 2x + 5

>> -9 + 3x = 2x + 5

>> 3x - 2x = 9 + 5

>> x = 14

Solution 2 :-

>> -6 - 9p = 3p

>> -9p - 3p = 6

>> -12p = 6

>> p = -1/2

Solution 3 :-

>> -5 (-4 - a) = 3a + 8

>> -5 × (-4 - a) = 3a + 8

>> 20 + 5a = 3a + 8

>> 5a - 3a = 8 - 20

>> 2a = -12

>> a = -12 / 2

>> a = -6

Solution 4 :-

>> s - 6 = -5s

>> s + 5s = 6

>> 6s = 6

>> s = 6 / 6

>> s = 1

Answer:

1) x = 14

2) p = - [tex]\frac{1}{2}[/tex]  (- 1/2)

3) a = -6

4) s = 1

work shown in image :)

hope this helps!!

Simplify
21x^6 y^5
14x^2y^9

Answers

Answer:

[tex]\frac{3x^{4} }{2y^{4} }[/tex]

Step-by-step explanation:

Factor out 7 from top and bottom :

[tex]\frac{7(3x^6y^5)}{7(2x^2y^9)}[/tex]

Divide top and bottom by 7 :

[tex]\frac{3x^6y^5}{2x^2y^9}[/tex]

Simplify :  

[tex]\frac{x^6}{x^4}=x^{2}[/tex]

Simplify :

[tex]\frac{y^5}{y^9} = y^{-4} = \frac{1}{y^{4} }[/tex]

Collect everything together :

[tex]\frac{3x^{4} }{2y^{4} }[/tex]

Hope this helped and have a good day

Match the following reasons with the statements to complete the following proof.

Answers

In order to proof that ∠ ABC + m ∠DBE = 180° the correct proof is given as follows:

m ∠CBD - m ∠DBE  - Given ∠ABC, ∠CBD are supplementary - Given by the definition of supplementary angels. m ∠ABC + m ∠CBD = 180° - this is is also based on exterior sides in opposite raysm ∠ABC + m ∠DBE = 180° because of the substituted angles.QED

What is a supplementary angle?

Supplementary angles comprise of angles that are on a straight line and which must add up to 180°

It is right to state therefore, that  ∠ABC, ∠CBD are supplementary angels.

Learn more about supplementary angles at:

https://brainly.com/question/12919120

#SPJ1



which of the following sets of inequalities​

Answers

Inequalities help us to compare two unequal expressions. The correct options are 2 and 3.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The inequality for the red portion is,

slope, m = (-2/-4) = 1/2

y-intercept is 2.

y ≤ (1/2)x + 2

The inequality for the blue portion is,
slope, m = (5-0)/(3-0.5) = 2

y-intercept is -1.

y > 2x - 1

Hence, the correct options are 2 and 3.

Learn more about Inequality:

https://brainly.com/question/19491153

#SPJ1

Select all the correct answers.
The diagram shows the construction of two tangent lines to a circle from a point outside the circle.

A circle with a center O. Two tangents, JP and KP are drawn from the same external point P. A horizontal line is drawn from P to O. A vertical line is drawn through the tangent and intersects the horizontal line at M. A line connects JM.
From the diagram, which three statements are true?
- line segment MJ≅ Line segment MP
-∡OJP≅∡OML
-∡OJM≅∡JMO
- line segment OM≅line segment MP
- line segment OJ≅line segment MJ
- line segment LM≅line segment MP

Answers

1) line segment MJ≅ Line segment MP

2) ∡OJP≅∡OML

3) line segment OM≅line segment MP

The below mentioned statements are true according to the figure , Option A, B and D is the correct answer.

What are Tangents ?

A line that intersects the curve at a single point at 90 degree is called a tangent.

In the given figure it can be seen that the

∡OJP≅∡OML (right angle)line segment OM≅line segment MP (as M is bisecting the line OP)line segment MJ≅ Line segment MP

Therefore , Option A , B and D is the correct answer

To know more about Tangents

https://brainly.com/question/19064965

#SPJ1

Which equation has a graph that lies entirely above the x-axis?

y = -(x + 7)² + 7
y= (x-7)²-7
y= (x-7)² +7
y= (x-7)²

Answers

Heyo!

The equation when displayed on a graph that lies entirely above the x-axis would be Option 4) y = (x - 7)^2.

Hope this helps! If so, please lmk! Also, if you have any questions, feel free to comment below. Good luck!

Answer:

Step-by-step explanation:

If k(x) = 5x – 6, which expression is equivalent to (k + k)(4)?
5(4 + 4) – 6
5(5(4) – 6) – 6
54 – 6 + 54 – 6
5(4) – 6 + 5(4) – 6

Answers

the last one. i know bc i j did it so j trust me.

Javier is comparing costs of two cars. Car A costs $130 per month for insurance and $0.10 per mile to run. Car B costs $108 per month for insurance and $0.15 per mile to run. He defines x as the number of miles driven each month and y as the total cost to run the car. Which set of equations can be used to find the number of miles Javier would need to drive to make the costs equal?
0.10 x = 130. 0.15 y = 108
y = 0.10 x + 130. y = 0.15 x + 108
0.10 x = 108. 0.15 y = 130
y = 0.15 x + 130. y = 0.10 x + 108

Answers

Answer:

y = 0.10 x + 130. y = 0.15 x + 108

Step-by-step explanation:

0.10 and 0.15 are the slope in the equation y = mx + b since it requires an input (number of miles) to spit out an output (number of miles*0.10 = price) and the x intercept is 130 and 108 creating the equation  y = 0.10 x + 130. y = 0.15 x + 108.

(a) By what least number must 27 be divided to make it perfect square​

Answers

Answer:

3

Step-by-step explanation:

When you divide 27 by 3 it will give you 9 and the square root of 9 gives you a perfect answer indicating that 3 is the least number that must be divided into 27

Answer:

[tex]\fbox {3}[/tex]

Step-by-step explanation:

First, prime factorize 27 :

⇒ 27 = 3 × 3 × 3

If 27 was divided by 3, it would give 3 × 3, which would give 9, a perfect square.

Package Express, Inc. operates a small package delivery service in the Jacksonville suburbs. If the company uses a regression equation to forecast total operating costs, the coefficient of the equation's independent variable would correspond to the:

Answers

The coefficient of the equation's independent variable would correspond to the: variable operating cost per delivery.

What is variable operating cost?

Variable operating cost can be defined as those cost that varies due to changes in a company or an organization day to day operating activity.

Delivery cost is an example of variables cost because cost of delivery a product or goods depends on the volume or units of the goods.

Therefore the coefficient of the equation's independent variable would correspond to the: variable operating cost per delivery.

Learn more about Variable operating cost here:https://brainly.com/question/13896920

#SPJ1

CAN SOMEONE HELP ME PLS?????

Answers

You are correct, P(red) = P(green) = 0.25.

Solve this question please

Answers

The expansion of the polynomial is given as:

[tex](5x^3+\frac{14}{3x^4})=15625x^{18}+87500x^{11} +\frac{612500}{3}x^3+\frac{6860000}{27x^3}+\frac{4802000}{27x^{10}}+\frac{5378280}{81x^{17}}+\frac{7529536}{729x^{24}}[/tex]

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

The expansion is given as:

[tex](5x^3+\frac{14}{3x^4})=15625x^{18}+87500x^{11} +\frac{612500}{3}x^3+\frac{6860000}{27x^3}+\frac{4802000}{27x^{10}}+\frac{5378280}{81x^{17}}+\frac{7529536}{729x^{24}}[/tex]

Find out more on equation at: https://brainly.com/question/2972832

#SPJ1

PLEASE HELP ASAP
:) thank you

Answers

Answer:

(16, 0) should be right.

Step-by-step explanation:

Well, I used to do the math, but after using Acellus a while, I found Symbolab.

It's suuuper handy with Algebra. I highly recommend.

How I found this intercept was enter:

intercept -2x+8y=-32

and bam it lists you all intercepts!

7. Which of the verbal descriptions best matches the function below?

f(x)=0.02x+150

Answers

Gene earns 2% interest after depositing $150 into his account , Option D.

What is a Function ?

A function is a law that relates an independent variable and a dependent variable with each other.

The function given is

f(x) = 0.02 x +150

Option D , Gene earns 2% interest after depositing $150 into his account

So this verbal description matches the function given as it represents , the total account balance of Gene .

Therefore Option D is the correct answer.

To know more about Function

https://brainly.com/question/12431044

#SPJ1

What is equivalent? A B C OR D
please help

Answers

I think the answer should be C

Answer:

[tex]8^{\frac{x}{3} }[/tex]

Step-by-step explanation:

How much money do I need now if I am going to recieve $5000 every 6 months (starting in 6 months) for 10 years if the interest rates are 4%/a compounded semiannually?

Answers

He needs to have $205783 amount of money to receive  $5000 every 6 months for 10 years.

What is Interest ?

Interest is the amount of money received , when a certain lump sum amount is deposited.

It is given that the person is receiving  ,

Interest = $5000 ,

after six months , every six month

Time Period = 10 years

Interest Rate = 4%

Compounded Semiannual

Let the principal amount be $x

Compound Interest is given by

Amount = P[ 1 + r/n]ⁿˣ

Here x is the time period

Therefore the Amount = x{ 1 +0.04/2}²⁰

x + 5000 *20 = x{ 1 +0.04/2}²⁰

x + 100000 = 1.486 x

x = $205783

Therefore he needs to have $205783 amount of money to receive  $5000 every 6 months for 10 years.

To know more about Interest

https://brainly.com/question/13324776

#SPJ1

easy problem for you guys to solve

Answers

In the ΔIJH, the value of the cosec (I) is [tex]1\frac{9}{56}[/tex].

Given ΔIJH the length of the hypotenuse is 65,  the length of the base is 33, and the length of the opposite side is 56.

We have to find the value of the cosec (I).

A function of an arc or angle that is most easily represented in terms of the ratios of pairs of sides of a right-angled triangle, such as the sine, cosine, tangent, cotangent, secant, or cosecant.

We know cosec (I) = hypotenuse / opposite side

Substitute the values

cosec (I) = 65/56

              = [tex]1\frac{9}{56}[/tex]

Hence the value of cosec (I) is [tex]1\frac{9}{56}[/tex].

Learn more about  trigonometric function here: https://brainly.com/question/24349828

#SPJ10

1.Simplify using suitable properties
(i) 13−51+2

Answers

Answer:

This is my answer:

Step-by-step explanation:

24. Factorise completely the expression: 7x-21+ 2xy - 6y​

Answers

Answer:

below

Step-by-step explanation:

7(x-3)+2(xy-3y)

I'm positive it's the correct answer

which graph best represents -8x+2y=18

Answers

See the graph in the image.

Point E,F,D are located on circle C
The measure of arc ED is 68 what is the Measure of angle EFD

Answers

The measure of the angle EFD will be 68 degrees. The correct answer is option B.

What is an angle?

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

Given that:-

The arc angle is 68 degrees and we need to find the angle EFD.

As it is given in the question that the angle suspended by the arc is 68 degrees so the angle EFD will also be equal to 60 degrees.

Therefore the measure of the angle EFD will be 68 degrees. The correct answer is option B.

To know more about an angle follow

https://brainly.com/question/25770607

#SPJ1

let a,b, and c be real numbers where a ≠ b≠c≠0. which of the following functions could represent the graph below?

Answers

The function will be f(x) = x²(x - a)²(x - b)(x - c). Then the correct option is A.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The graph is given below.

The factor of the function will be  

(x - 0), (x - a), (x - b), and (x - c)

Then the function will be

Then the function can be written as

f(x) = x²(x - a)²(x - b)(x - c)

Then the correct option is A.

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ1

Answer:

The answer on Edge is Choice A

Step-by-step explanation:

Please Help!10.<ADC and <FDA are a linear pair. What is the reason?​

Answers

Answer:

Linear pair of angles are formed when two lines intersect each other at a single point. Therefore, <ADC and <FDA are a linear pair.

Step-by-step explanation:

PQ is a chord of length 8 cm of a circle of radius 5 cm. The tangents at P and Q intersect at a point T. the length TP in cm is: ​

Answers

Given :-PQ = 8cmRadius = 5cmTwo Tangents = P & Q. Construction :-Join OT. Solution :-

Here, ΔTPQ is isosceles and TO is the angle bisector of ∠PTO.

[∵ TP=TQ = Tangents from T upon the circle]

⠀⠀⠀⠀⠀⠀⠀⠀∴ OT⊥PQ

So, PR = RQ = 4cm.

⠀⠀⠀

___________________________________________

[tex]\longmapsto{}[/tex]By Applying Pythagoras Theorem in ∆OPR :

OR = √OP² - PR²

OR = √5² - 4²

OR = 3cm

__________________________________________

Now,

[tex]\leadsto[/tex]∠TPR + ∠RPO = 90° (∵TPO=90°)

[tex]\leadsto[/tex]∠TPR + ∠PTR (∵TRP=90°)

[tex]\leadsto[/tex]∴ ∠RPO = ∠PTR

⠀⠀

∴ Right triangle TRP is similar to the right triangle PRO. [By A-A Rule of similar triangles]

⟼[tex]\frac{TP}{PO} = \frac{RP}{RO} [/tex]

⟼[tex]\frac{TP}{5} = \frac{4}{3} [/tex]

⟼[tex]TP= \frac{20}{3} [/tex]

Hence you got your answer here.

⠀⠀⠀⠀⠀

-MissAbhi

6543549 ² × 4³ ÷8
it also states to simplify to the simplest form

Answers

The simplification form of the provided expression 6543549 ² × 4³ ÷8 is 3.4254×10¹⁴

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.

We have a mathematical expression:

= 6543549² × 4³ ÷ 8

Using BODMAS

= 6543549² × 8

= 3.4254×10¹⁴

Thus, the simplification form of the provided expression 6543549 ² × 4³ ÷8 is 3.4254×10¹⁴

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ1

___________is a relation in which each element of the domain is paired with exactly one element of the range.

Answers

Answer:

A function

Step-by-step explanation:

A function is a relation in which each element of the domain is paired with exactly one element of the range.

What is the measurable quantity given by its formula with the appropriate units

Answers

Answer:

Where is the formula

Step-by-step explanation:

To determine whether a graph of a relation is also a function, Shayla declares that the y-axis is a vertical line and counts the number of times that the graph intersects the y-axis. If the graph has exactly one y-intercept, Shayla concludes that the graph shows a function. In all other cases, she declares that it is not a function.

Is Shayla applying the vertical line test correctly?
No, because the y-axis is a horizontal line.
No, because using the y-axis tests only whether x = 0 is mapped to multiple values.
Yes, because multiple y-intercepts represent multiple x-values being mapped to y = 0.
Yes, because the y-axis represents all vertical lines of the x-values.

Answers

Answer: Choice B

No, because using the y-axis tests only whether x = 0 is mapped to multiple values.

===================================================

Further Explanation:

Shayla stating that the y axis being used to conduct a vertical line test is part of the process. But she needs to move the vertical line around and not have it fixed in place.

If it is possible to have a vertical line (on the y axis or not) pass through more than one point on the curve, then we don't have a function. It is said the curve fails the vertical line test.

Otherwise, the graph passes the vertical line test and we have a function.

tch and his brother, Terry, went on a hiking expedition. Starting at sea level, the brothers climbed to a scenic cliff located 6.6 kilometers above them. From there, they descended 1.3 kilometers in one hour. Mitch discovered that he had left behind some essential supplies on the cliff. So, the brothers decide to head back up. They climbed 0.8 kilometer within the next hour. At this point, Mitch and Terry were

away from the scenic cliff.

Answers

Mitch and Terry were 0.5 km away from the scenic cliff

What is Sea Level ?

Sea level is the base for calculating the depth and the elevation of Earth

It is given that

Total Height of the scenic Cliff = 6.6km

After 1 hour the brothers are at = 6.6 - 1.3 km = 5.3 km from the sea level.

They climb back 0.8 km in the next hour so they will be

5.3 +.8 = 6.1 km from the sea level

6.6 - 6.1 = 0.5 km

Therefore the brothers are 0.5 km away from the scenic cliff

To know more about Sea level

https://brainly.com/question/2113249

#SPJ1

Other Questions
COMPLETE THE FOLLOWING EQUATION USING APPROPRIATE SIGN ( +,-,x,) IN THE BOXES GIVEN:REMEMBER TO USE (DMAS) Question 9 of 12Households play a role in the circular flow of goods by:A. selling goods that companies produce.B. providing natural resources to businesses.C. designing and producing new goods.D. purchasing goods at product markets. Susan has been thinking about starting her own independent gasoline station. Susans problem is to decide how large her station should be. The annual returns will depend on both the size of her station and a number of marketing factors related to the oil industry and demand for gasoline. After a careful analysis, Susan developed the following table: please help me please HELLPPLet n be the middle number of three consecutive even integers. Write an expression for the sum of these integers.sum of the integers? In North American society, categories such as age, ethnicity, race, gender, sexual orientation, physical disabilities, and religion are all considered ____________. how many feet? help me please A consumer purchased a grass trimmer from a hardware store. He took it out of the sealed box and assembled it according to the instructions. He noticed that there were bolts and screws left over and some joints that could have accepted additional fasteners, but he just disposed of the extra hardware. As he was using the trimmer, the housing came apart and a hard piece of plastic flew off. His neighbor, who was standing nearby, was struck in the eye by the piece of plastic and suffered permanent injuries. The neighbor sued the hardware store and the manufacturer of the trimmer in a strict liability action. Through discovery, it was determined that the instructions omitted a critical step in the assembly process that would have used the extra hardware, which is why the housing came apart, and that the manufacturer had received some complaints about the instructions previously. The hardware store had no knowledge of any complaints regarding any of the manufacturer's products. As to the hardware store, the neighbor will: When Paradise Incorporated, a travel insurance company, decided to introduce new goals for its internal management, there was a rift regarding what should be implemented. Group A emphasized short-term goals that would benefit the company, while Group B believed in introducing policies that would create more mutually beneficial relationships with client businesses, such as major airlines. Which result would prove Group B's decision to be ideal A force of 10 newtons acts in a direction 75 above horizontal, moving an object 15 meters from (0, 0) to (15, 0). what is the work done by the force? How many people could an extermination camp kill in a single day? 1. Nina (walk)....... to school every day. A green gold bracelet weighs 56g. The bracelet is made from 75% gold, 20% silver and 5% copper.(a) What is the mass of the gold in the bracelet?(b) What is the mass of the copper in the bracelet? What percentage of your gross salary does the consumer financial?. This event convinced US elites of the need to establish aConstitution that would enable a stronger nationalgovernment:The Boston MassacreThe Battle of SaratogaO The Tea ActO Shays' Rebellion The local interlock system on a hybrid vehicle detects when ________ have been removed from high-voltage circuits. 8th/9th-95 POINTS+BRAINLIEST!!!!!!!! How do you write a quadratic equation in vertex form? Please explain the steps in simple language and use y=x+6x+16 as an example. herakles is often recognizable in visual arts because he wears a certain souvenir or trophy from his first labor - what is it? Solve using substitution method: X= y/3 +2 7x 5y = 10Solve for (x,y) ANSWER ALL QUESTIONS QUESTION 1 (a) List and Explain the FIVE elements of financial statements as defined in the IASB'S Framework. (5 marks) (b) Explain TWO fundamental qualities of financial information. (c) Explain SIX subsidiary books of Book-keeping accounting. Total = (15 marks) (4 marks) (6 marks) ANSWER ALL QUESTIONS QUESTION 1 ( a ) List and Explain the FIVE elements of financial statements as defined in the IASB'S Framework . ( 5 marks ) ( b ) Explain TWO fundamental qualities of financial information . ( c ) Explain SIX subsidiary books of Book - keeping accounting . Total = ( 15 marks ) ( 4 marks ) ( 6 marks )