What are the y-intercept and the horizontal asymptote of g(x) = 2x + 7?

(0, 7) ; y = 2
(0, 9) ; y = 2
(0, 2) ; y = 7
(0, 8) ; y = 7

Answers

Answer 1

The required y-intercept is (0, 7), and the horizontal asymptote y = 2. Option A is correct.

It is to detrmine the y-intercept and the horizontal asymptote of g(x) = 2x + 7.

What is a Line?

A line can be defined as it is the shortest distance between two points on the graph called a line. Equation of the y = mx + c, where c is the y-intercept and m is the slope of the line.

The y-intercept of g(x) = 2x + 7 is the y-coordinate of a point where a line, curve, or surface intersects the y-axis i.e. (0, 7).

An asymptote of g(x) = 2x + 7 is a line that a graph approaches without touching i.e. y = 2.

Thus, The required y-intercept is (0, 7), and the horizontal asymptote y = 2. Option A is correct.

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Related Questions

80 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Place a point at the point of intersection of the three medians. Now change the positions of vertices A, B, and C, and observe how the medians change. Is there any change in the way the medians intersect?

Answers

Answer:

was there a table diagram or anything or you only got the question like that?

Answer:

No, the medians continue to intersect at a single point.

Step-by-step explanation:

Plato

HelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelp

Brainliest pls

Answers

Answer: 79

Step-by-step explanation:

A net of a building block is shown below. What is the total surface area of the building block? *

Answers

Answer:

where

Step-by-step explanation:

write a function that represents the number of emergency responses professionals in the town in terms of the towns total population

Answers

The exponential growth function will be:  y = 4000(1 + 0.04)⁴

How to solve Exponential growth unctions?

An exponential equation is an equation with exponents where the exponent (or) a part of the exponent is a variable.

We are given;,

Initial population = 4000

Rate of increase = 4%

Let current population be p.

Let number of years passed be t.

Thus, the exponential growth function will be:

y = 4000(1 + 0.04)⁴

Complete question is;

A town has a current population of 4,000. The population increased 4 percent per year for the past four years, Emergency response professionals make up 3 percent of the town's population.

Part A

Write a function that represents the population (p) of the town in terms of the number of years (1) for the last four years.

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Answer:

number of emergency response professionals = 3% of population

e = 0.03p

e is a function of p

e(p) = 0.03p

Step-by-step explanation:

edumentum

The area of a circle is 9 ft. What is the circumference, in feet?

Answers

Answer:

Circumference: 10.63

Hope this helps.

1) Draw [ab] and [bf] the images of [AB] and [BF] respectively with respect to L. What do we deduce about [ab] and [bf]? 2) Draw [de] the image of DE with respect to L. What do we deduce about [de] and [bf]? 3) Locate c be the symmetry of C with respect to L. What can we deduce about b, c, f? 4) Locate g the symmetry of G with respect to L. What can we g deduce about g with respect to [de]?​

Answers

Step-by-step explanation:

can you clear more I don't understand

Round decimal numbers to the nearest tenth, hundredth, or whole number,

What comes next:


a) 0.35, 0.36, 0.37, …

b) 1.277, 1.278, 1.279, …

c) 6.96, 6.97, 6.98, …

Answers

Answer:

C

Step-by-step explanation:

because the nearest is to ones tenth hundred thousand

If m(arc RU) = (16x – 13)° , m(arc SU) = (11x – 24)°, and m∠STU = (3x + 1)°, find m(arc SU).​

Answers

Answer: 75 degrees

Step-by-step explanation:

Suppose the graph represents the plans for a fence that Tara is
building for a new city dog park. Each unit on the graph represents
12 yards. After studying the plans, Tara decides to build a fence that
encloses a smaller area. If Tara dilates Rectangle ABCD by a scale
factor of 0.75, and fencing costs $6.39 per yard, how much will she
spend on fencing?

Answers

The scale factor of 0.75 would ensure that the new fence has a smaller area

The total cost of fencing the smaller area is $1610.28

How to determine the fencing cost?

From the complete question, we have the following parameters:

Number of units on the smaller area, k = 12Scale factor = 0.75Unit cost = $6.39 per yardPerimeter, P = 28 yards

Start by calculating the perimeter of the smaller area using:

Smaller Area = Perimeter * Scale factor * k

Where k represents the number of units on the smaller area

So, we have:

Smaller Area = 28 yards * 0.75 * 12

Evaluate the product

Smaller Area = 252 yards

The total cost is then calculated as:

Total cost = Unit cost * Smaller Area

This gives

Total cost = 6.39 * 252

Total cost = $1610.28

Hence, the total cost of fencing is $1610.28

Read more about scale factors at:

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Which expression has a value of -22?
−5 × 2 − 12

8 − (−3) +33 ÷ (−3)

−3 + (−2) − (−8) −1

−6 × 2 − (−15)

Answers

Answer:

(-5)*2 - 12

Step-by-step explanation:

First multiply (-5) and 2. Then (-10) and (-12) have same signs ie. neagtive .

If two integers have same sign, add and the result will have the sign of the both integers.

(-5)*2 - 12 = -10 - 12

                = -22

Good Work Company charges by the word to run classified ads. This company charges $12 for the first 15 words and $0.55 for each additional word.
a. How much would a 25-word classified ad cost?




b. How much would a 50-word classified ad cost?

Answers

A. A 25-word classified ad would cost $17.50
Explanation: 0.55 x 10 = 5.5. 5.5 + 12 = 17.5

B. A 50-word classified ad would cost $31.25
Explanation: 0.55 x 35 = 19.25. 19.25 + 12 = 31.25

Hope this helps and please mark brainliest!

Five years ago, Julie was 4 feet 7 inches tall. Her sister Carrie was 5 feet 1
tall. Since then, Carrie has grown 2 inches each year. Julie grew 13 inches
during the last 5 years. How much taller than Julie is Carrie now?

Answers

The differnce in the height of Carrie and Julie given their rate of growth is 3 inches.

What is the difference in height?

Carrie's height = 5 feet 1 inch + (2 x 5)

= 5 feet 1 inch + 10 inches

5 feet 11 inches

Julie's height = 4 feet 7 inches + 13 inches

4 feet 20 inches

Difference in height = 5 feet 11 inches - 4 feet 20 inches

I feet = 12 inches

71 inches - 68 inches

3 inches

To learn more about subtraction, please check: https://brainly.com/question/854115

If x =2/5, y=-4/3, z=8/9, then verify that : x+(y+z) = (x+y) + z​

Answers

according to distributive property

x+(y+z) = (x+y) + z

hope it helps...!!!

Resuelva los siguientes sistemas de ecuaciones 3x+2y₌75x–2y₌1

Answers

1)

[tex]x = 25 - \frac{2}{3} y[/tex]

[tex]y = 37.5 - 1 \frac{1}{2} x[/tex]

2)

[tex]x = 1 + 2y[/tex]

[tex] y = \frac{1}{2} - \frac{1}{2} x[/tex]


Help
4.5+0.1x=7-0.25x

Answers

Answer:

x=7.1429 I think that's the answer and I think it's A

please help!!! I will make you brainliest I need this and I also don't understand ​​

Answers

3 it makes 2 parallelograms so it is 3 but if you need more help Comment on this answer

HELP!
- Your work solving the inequality
- The solution in set notation
- The solution in interval notation

Answers

Answer:

Picture below answers your question.

Pls Help Me Find The Area!!

Answers

Answer:

A = 32 cm²

Step-by-step explanation:

the area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the height )

here b = 8 and h = 4 , then

A = 8 × 4 = 32 cm²

ing a Reflection in the
Coordinate Plane continued
Triangle XYZ is reflected across the y-axis to form
figure

help

Answers

Answer:

equals 1864 and this head and this talk

pleaseeeeeeeee help me out here

Answers

Answer:

Step-by-step explanation:

-2  1/2 = -2.5( i between -2 and -3

 -3/4   One mark short to 1

        or 3 marks from  zero

Answer:

The -2 1/2 would goin the middle of the -3 and -2. 3/4 would go on the 3rd line between 0 and 1. Hope this helped

Step-by-step explanation:

What can you help me with on khan academy 6th grade?

Answers

I could help you with math

Find the slope of the line that is parallel and perpendicular to the following equation.
-4x - 4y = -2

Answers

Answer:

Slope of the line that is parallel: -1

Slope of the line that is perpendicular: 1

Step-by-step explanation:

For the parallel line:

Rewrite your equation to slope-intercept form: y = mx + b

y = mx + b

m = slopeb = y-intercept (when x = 0)

-4x - 4y = -2 <== add 4x to both sides

+4x         +4x

-4y = 4x - 2 <== divide both sides by -4

/-4      /-4

y = -x + 1/2

The slope of the line that is parallel to this line is -1 (invisible 1 in front of x).

For the perpendicular line:

*Perpendicular lines have negative reciprocals*

Steps:

1. Take your original slope (-1)

2. Flip it (-1/1)

3. Change the sign (1)

For a slope of -1, the reciprocal would be: 1

Hope this helps!

Answer:

Parallel line:

-1

Perpendicular line:

1

Step-by-step explanation:

Let's simplify first!

-4x-4y=-2

-4x=-2+4y

4y=-4x+2

y=-x+0.5

For a parallel line, the slope should be the same

Therefore...

Slope=1

For a perpendicular line, the slope should be the negative reciprocal of the original.

Therefore...

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

=1

Hope this helps! :D

Boyce invested an average of $450 per month since age 34 in various securities for his retirement savings. His investments averaged a 4% annual rate of return until he retired at age 63. Given the same monthly investment and rate of return, how much more would Boyce have in his retirement savings had he started investing at age 20? Assume monthly compounding.


a $113,320. 00

b $321,946. 93

c $78,624. 00

d $224,749. 27

Answers

If Boyce had started investing when he was 20 the amount he would have more than he does in his retirement savings would be b. $321,946.93.

How much more would Boyce have?

First convert the interest to a monthly rate:

= 4% / 12 months

= 1 / 3 %

Period:

= (63 - 34) x 12 months a year

= 348 months

Amount saved:

= Amount x ( (1 + rate) ^ number of periods - 1) / rate

= 450 x ( (1 + 1/3%)³⁴⁸ - 1 ) / 1/3%

= $294,811.07

If he started saving at 20, the number of periods would be:

= (63 - 20) x 12

= 516 months

Amount saved:
= 450 x ( (1 + 1/3%)⁵¹⁶ - 1 ) / 1/3%

= $616,758

The difference is:

= 616,758 - 294,811.07

= $321,946.93

Find out more on future value savings at https://brainly.com/question/26662056.

Simplify each radical expression. Use absolute value symbols when needed. (13 is the question number)

Answers

[tex]\sqrt{\cfrac{9x^4}{36}}\implies \sqrt{\cfrac{3^2 (x^2)^2}{6^2}}\implies \sqrt{\cfrac{(3x^2)^2}{6^2}}\implies \sqrt{\left( \cfrac{3x^2}{6} \right)^2}\implies \cfrac{3x^2}{6}\implies \cfrac{x^2}{2}[/tex]

What resolution should images for a nature magazine have?
neutral
high
low

Answers

Answer:

high

Explanation:

​Quadrilateral ABCD​ is inscribed in this circle. What is the measure of ∠A?
Enter your answer in the box. C is labeled 74

Answers

Answer:

Step-by-step explanation:

jenny has $25 and she earns $10 for each lawn that she mows. jenny wants to buy a concert ticket that costs $65


enter the minimum number of lawns jenny needs to mow to be able to buy the concert ticket

Answers

the minimum number of lawns she needs to mow is 4

What are the solutions of x^2 + 6 x - 6 = 10?

Answers

Answer:

X= 2

X= -8

Hope this helps :)

Answer:

x=2 and x=-8

Step-by-step explanation:

First, move terms to the left side. Then subtract the numbers and use the quadratic formula. Simplify, separate the equations, and solve.

i do not know this answer

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's evaluate ~

[tex]\qquad \tt \dashrightarrow \:14 {g}^{2} [/tex]

plug the value of given as -1 :

[tex]\qquad \tt \dashrightarrow \:14( - 1) { }^{2} [/tex]

[tex]\qquad \tt \dashrightarrow \:14(1)[/tex]

[tex]\qquad \tt \dashrightarrow \:14[/tex]

Do, the equivalent term is 14

A gold bar is similar in shape to a rectangular prism. A gold bar is approximately in. In. In. If the value of gold is per​ ounce, about how much is one gold bar​ worth? Use the formula w​11. 15n, where w is the weight in ounces and nvolume in cubic​ inches, to find the weight in ounces. Explain how you found your answer

Answers

Answer:

I thnk the answer is in the next question go do that then

Step-by-step explanation:

then come back and figure it out

Other Questions
Read the following passage: "Yawning is both one of our most familiar and mysterious behaviors. All humans and most vertebrates yawn, yet we dont know whether this everyday activity has a physical or a social purpose. "One possibility is that yawning is strictly a physical trigger and response. Some studies show that the frequency of yawning depends on oxygen and carbon dioxide levels and temperature. Yawning might cool the brain by pulling blood towards the mouth and neck where it is cooled by indrawn breath. It could trigger a release of hormones that elevate mood and appetite. Or the stretching that accompanies a yawn could help maintain muscle readiness to respond to danger. "On the other hand, its also been suggested that yawning is primarily a way of communicating. Yawning is contagious. Research shows that seeing, hearing, and simply reading about a yawn causes observers to yawn themselves. Yawns are most catching in social creatures like humans, chimps, dogs, and parrots. Theyre somewhat less catching among children with autism and adults with psychopathic tendencies, and they dont occur at all in solitary species like tortoises. Yawning may be a way of forming bonds within a group by synching up sleep and wake cycles and other behaviors. It might also serve as a way of establishing dominance by showing off the size of teeth and jaws or signaling boredom. "While scientists debate the purpose of yawning, one thing is almost certain. You probably yawned more than once reading about it."Which option below is a major supporting detail in the reading?Yawning might help cool the brain.Yawning may be a method of communication.Yawning is common in the animal kingdom.Turtles dont catch yawns. WRITE INEQUALITY AND SOLVE Lamar weighs 250 pounds. If he loses 10 poundsand then 2 pounds per week after that, how manyweeks will it take him to weigh less than 175 pounds? Identify three (3) general-purpose computing devices and write a short (no more than one page) essay explaining in detail the computing process. What initiatives are you implementing as an institution to address substance abuse? 2KBr + Cl 2KCI + BrWhat type of chemical reaction is this? Which literary device helps add depth to characters by showing previous events? We are currently living in an epoch where continental glaciation is on the increase.TrueFalse How do I decorate a room like 1961? how much would $500 invested at a 4% interest compounded continuosly be worth after 7 years round your answer to the nearest cent The following sentence contains a transitional word or phrase: Thus I must decline your insulting offer and demand an immediate apology.Which revision correctly punctuates the sentence?Thus; I must decline your insulting offer and demand an immediate apology.Thus I must decline your insulting offer and demand, an immediate apology.Thus, I must decline, your insulting offer and demand an immediate apology.Thus, I must decline your insulting offer and demand an immediate apology. Mr.Smith has p pounds of cookie dough. He is going to split it equally among his three children. Each child will get 0.42 pounds of cookie dough. Write and solve an equation that can be used to determine the weight of the cookie dough Mr. Smith has. Select the correct answer.What is the range of the function shown on the graph?162-4-8-6x-228-21648 Please translate and provide example answers in both English and France.1. Aimes-tu manger souvent au restaurant ?Example: (English answer/ French answer)2. Tu regardes la tl le weekend ?3. Quest-ce que tu tudies ce semestre?4. Quel ge as-tu ?5. Quel jour sommes-nous aujourdhui?6. Quelle heure est-il ?7. Est-ce que tu as peur dun serpent ? 2. why would advances in medicine lead to population growth? a. treatment of deadly diseases allows people to live longer b. people are unable to have babies without medical help c. babies do not grow if they don't take their medicines d. drugs allow mothers to have multiple births, like octuplets. 5.07 Graded Assignment: Write About Culture or Setting? please answer quickly!! what is the exact value of x and y? please leave an answer if youre going to comment!! (ive posted this 3 times) How many moles of Ca(NO3)2 are there in 77.4 mL of 0.45 M solution?Round your answer to 3 decimal spaces, even if sig figs are not conserved.(Please answer quickly) 1. what can you say about the sum of the measures of Compare and contrast the five explanations for the emergence and persistence of nondemocratic regimes. Are there any explanations you find particularly compelling or unlikely? Why? SOMEONE PLS HELP, I WILL CHOOSE BRAINLIEST