Question 10
The graph below shows a rational function.
10-
5
-
1
2
3
4
5
6
-3
-6
-5
-4
-2
-5
10-
15+
Select the function that represents the graph.
32+5
A y =
2+1
O
0
B
y =
32+5
2+2
22
с
y =
D
y=2-1

Question 10The Graph Below Shows A Rational Function.10-5-123456-3-6-5-4-2-510-15+Select The Function

Answers

Answer 1

According to it's asymptotes, the function represented by the graph is:

[tex]y = \frac{3x + 5}{x + 1}[/tex]

The vertical asympotes of a function f(x) is the points which are outside the function domain.

In a fraction, they are given by the zeroes of the denominator.

In this problem, there is a vertical asymptote at x = -1, which is a zero of the denominator, hence the denominator is x + 1.

The horizontal asymptotes are the values of the function as x goes to infinity.

In this problem, they are given by:

[tex]\lim_{x \rightarrow -\infty} f(x) = -3[/tex]

[tex]\lim_{x \rightarrow \infty} f(x) = 3[/tex]

Hence, the option that satisfies it is:

[tex]y = \frac{3x + 5}{x + 1}[/tex]

To learn more about asymptotes, you can take a look at https://brainly.com/question/16948935.


Related Questions

write 1+√-32/4 as a complex number in the form a + bi, where a and b are real numbers.
a. 1/4+1/2√2i
b. 1/4+1/4√2i
c. 1/4+√2i
d. 1/4+4√2i

Answers

Answer: Choice C

Work Shown:

[tex]\frac{1+\sqrt{-32}}{4}\\\\\frac{1+\sqrt{-1*16*2}}{4}\\\\\frac{1+\sqrt{-1}*\sqrt{16}*\sqrt{2}}{4}\\\\\frac{1+i*4*\sqrt{2}}{4}\\\\\frac{1+4i*\sqrt{2}}{4}\\\\\frac{1}{4}+\frac{4i*\sqrt{2}}{4}\\\\\boldsymbol{\frac{1}{4}+i\sqrt{2}}\\\\[/tex]

This matches with choice C. The imaginary 'i' term is not under the square root.

Simplify this please!!!! 100 points!!!!! ;)

Answers

Answer:6^21

Step-by-step explanation:

Answer: its B

Step-by-step you multiply 7 x 3 and you get 21

Please Help
Identify the underlined place in 81.7277. Then round the number to that place.
Underlined place is 2/Two

hundredths; 81.72

thousandths; 81.73

thousandths; 81.72

hundredths; 81.73

Answers

Answer:

hundredths; 81.73

Step-by-step explanation:

If the number underlined is two, then it will rounding to the hundredths place. Since the number after it is 7, which is greater than 5, we get 81.73.

What is 48.5% of 300?

Answers

278 cause when you carry the three to the 48.5 you have a remainder equal to the composite of both

Find the slope for (3,1)and (4,3)

Answers

y2-y1 / x2-x1

so, 3-1 =2 and 4-3=1
2/1 is 2

Answer:

2

Step-by-step explanation:

slope formula : [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] where the x and y values are derived from known points

We are given the points (3,1)and (4,3)

Given these points we can define our variables

(x1,y1) = (3,1) so x1 = 3 and y1 = 1

(x2,y2) = (4,3) so x2 = 4 and y2 = 3

Now that we have defined our variable, we plug them into the formula

Recall formula: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

x1 = 3 , y1 = 1 , x2 = 4 , y2 = 3

* plug in values *

[tex]\frac{3-1}{4-3}[/tex]

subtract 3 and 1 , and 4 and 3

[tex]\frac{3-1=2}{4-3=1} =\frac{2}{1} =2[/tex]

the slope is 2

write 200% as a decimal​

Answers

Answer:

Percent Decimal

80% 0.8

90% 0.9

100% 1

200% 2

Answer:

2.00

Step-by-step explanation:

To convert a percentage to a decimal, divide by 100. So 25% is 25/100, or 0.25. To convert a decimal to a percentage, multiply by 100 (just move the decimal point 2 places to the right).

Which is a better buy?

Answers

Answer:

four pack of notebooks for $4.56

Answer:

the 3-pack of note books for 3.33

Step-by-step explanation:

hope this helped have a great day!

Which of the following shows the less amount from the original value?

a. Gadget of 5000 with 5% discount price

b. Mr Smith bought a leather bag for £25 and sold it for £45.

c. A calculator marked £8.50 and Mr Smith pay 15% VAT for this item.

d. Mr Smith sold of £875 for furniture with a gain of 6%.

and explain why.

Answers

Answer:

A

Step-by-step explanation:

This is because it is discounting however in the others it's increasing VAT=Value added Tax,

gain, 45-25=£20 profit therefore it's A.

Answer:

Gadget of 5000 with 5% discount price

Step-by-step explanation:

This is the only option with a discount, not an additional extra on top.

can someone please help with this?

Answers

The line passes the y axis at 0. The gradient is 3 so for every 3 it goes up it should go one along.

The proportional relationship between the number of hours Taylor works, h, and her total earnings in dollars and cents, e, can be represented by the equation e=15.9he=15.9h. How much does she make in dollars and cents per hour?

Answers

The amount she makes in an hour is $15.90.

The amount Taylor earns is directly proportional to the hours Taylor works.

The equation that can be used to represent direction proportion is:

y = kx

where:

y = dependent variable

k = constant of proportionality

x = independent variable

e = 15.9h

Amount earned in an hour

e = 15.9(1)

e = $15.90

A similar question was answered here: https://brainly.com/question/24799762

Parallel lines : mastery test

Answers

Answer:

I can't see much so take one more than I can help

I need help with an equation... I can't understand it I've tried it a couple of times and I still get it wrong...so help plz?

Answers

Answer:

  (f·g)(x) = x³ -8x² +20x -16

Step-by-step explanation:

The distributive property is useful for this.

  (f·g)(x) = f(x)·g(x) = (x² -6x +8)(x -2)

  = x(x² -6x +8) -2(x² -6x +8)

  = x³ -6x² +8x -2x² +12x -16

  (f·g)(x) = x³ -8x² +20x -16

_____

Additional comment

I find it convenient to separate the terms of the shortest polynomial. That way, the distributive property doesn't need to be used quite so many times. Of course, any outside minus sign applies to all terms inside parentheses.

à
A recipe calls for 1.25 cups of brown sugar to make a batch
of cookies. How many cups of brown sugar are needed for
5 batches of cookies?

Answers

it takes 6.25 cups to make 5 batches

if clare goes to the bank every 7 days and clare go's to the bank every 5 days what day will they bolth go to the bank

Answers

The weekdays
Because there are 5 week days so most likely they will meet up on those days

Can you convert the stander linear equation 5x-3y=15 into slope intercept form?

Answers

Answer: y = (5/3)x - 5

Step-by-step explanation:

5x-3y=15

-3y = -5x + 15

y = (5/3)x - 5

Answer:

In slope intercept form, I think it would be y=5/3x-5

Step-by-step explanation:

5x-3y=15

-subtract 5x on both sides-

-3y=-5x+15

-divide by -3 on both sides-

y=-5/-3x+15/-3

(the negatives on -5/-3 cancel each other out leaving you with a positive 5/3)

y=5/3x-5

Im not sure if all calculations are correct, but i hope this helps! :)

Which of the following is statement is TRUE about mixed numbers?
A. A whole number and an improper fraction.
B. A whole number and a mixed forms.
C. A whole number and a proper fraction.
D. A whole number, remainder and similar fraction

Answers

The answer should be C. Examples of mixed numbers: 1 2/3; 3 6/7; 2 12/18. Hope this helps. Note: If I’m right can I have brainliest ?

simplify the following 2 √5 *5 √5

Answers

Answer: 50!!!

Step-by-step explanation:

Which graph represents the same relation as the rule y = 2x, for all real numbers x?

A coordinate plane has 5 points. The points are (negative 2, negative 4), (negative 1, negative 2), (0, 0), (1, 2), (2, 4).

On a coordinate plane, a horizontal line intercepts the y-axis at (0, 2).

On a coordinate plane, a straight line with positive slope intercepts the axis at (0, 0). The line goes through points (negative 2, negative 4) and (2, 4).

On a coordinate plane, 11 points form a vertical line that crosses the x-intercept at (2, 0).

Answers

On a coordinate plane, a horizontal line intercepts the y-axis at (0, 2).

What is co-ordinate plane?

A Cartesian coordinate system in a plane is a system of coordinates that uniquely identifies each point by a pair of numerical coordinates. These numerical coordinates are the signed distances from two fixed perpendicular oriented lines to the point, measured in the same unit of length.

A horizontal line exists as a straight line that varies from left to right or right to left. In coordinate geometry, a line is expressed to be horizontal if two points on the line include the same Y- y-coordinate points. It arrives from the term “horizon”. It indicates that the horizontal lines exist invariably parallel to the horizon or the x-axis.

Hence, On a coordinate plane, a horizontal line intercepts the y-axis at (0, 2).

To learn more about co-ordinate planes refer to:

https://brainly.com/question/7038052

#SPJ2

Answer:

C

Step-by-step explanation:

Edge 2023

Two jets simultaneously started traveling in opposite directions from the same airport. Four hours later they were 3800 miles apart. Find the rate of each plane if one of them traveled 80 miles per hour faster than the other.

Answers

Step-by-step explanation:

the slower plane traveled x miles in 4 hours.

the faster plane traveled x + 4×80 = x + 320 miles in 4 hours.

so,

x + x + 320 = 3800 miles

2x =3480 miles

x =1740 miles (in 4 hours) .

that means the slower plane's speed was 435 mph.

and the faster plane's speed was 435 + 80 = 515 mph.

First person to get it right will get Brainly and 20 points. Good luck

Answers

Answer:

16/20

Step-by-step explanation:

4 is the common factor. 16 % 4 = 4, 20 % 4 = 5. therefore, 16/20 = 4/5

The answer is 16/20 I think.

Use the following system of equations to determine if each ordered pair is a solution: 1. Is (-4,-2) a solution to the system of equations below? Show your work. -3x+2y=8 x + 2y = -8​

Answers

Yes it is a solution to the system.

A bakery worker ordered 3000 eggs when only 300 eggs were needed. Which explains how many more eggs were ordered than were needed? A. 100 times more because there are 2 zeros in 300 B. 1000 times more because there are 3 zeros in 3000 C. 10,000 times more because there are 5 total zeros in 3000 and 300 D. 10 times more because there is 1 more zero in 3000 than in 300

Answers

Answer:

D

Step-by-step explanation:

What does: 8w+22=34 equal?

Answers

Answer:

3/2

HOPE I HELPEDD

Answer:

w= 1 1/2

I dont know if thats the question youre asking, if its not tell me.

what is the area of the rectangle. ​

Answers

Answer:

54 units^2

Step-by-step explanation:

help me pls... ....

Answers

Step-by-step explanation:

A1

1 yard = 3 feet

1 foot = 12 inches

therefore,

100 yards = 100×3×12 inches = 3600 inches

A2

again, 1 yard = 3 feet

8 ft = 8/3 = 2.67 yards = 2 2/3 yards

A3

1 gallon = 8 pints

A4

1 liter = 1000 milliliters (remember, "mili" means 1/1000).

therefore,

2.2 liters = 2.2×1000 = 2200 milliliters

A5

again, 1 liter = 1000 milliliters

therefore

1 milliliter = 1/1000 liter

670 milliliters = 670 × 1/1000 liter = 670/1000 liter =

= 0.67 liter

B1

1 kg (kilogram) = 1000 grams ("kilo" means 1000).

we have 3 layers.

each layer weighs (cake plus icing)

1/2 kg + 100 g = 500 g + 100 g = 600 g

3 layers then weigh

3×600 g = 1800 g

the additional candle weighs 250 g.

so, the total is

1800 g + 250 g = 2050 g = 2.05 kg

B2

area is 110 m².

1 m = 100 cm ("centi" means 1/100).

and 1 m² is then 100×100 = 10000 cm².

so, the area in cm² is

110 × 10000 = 1,100,000 cm²

the top area of one brick = 10 × 20 = 200 cm²

so, we need

1,100,000 / 200 = 11,000 / 2 = 5500 bricks

Marsha deposited ​$5,500 into a savings account 5 years ago. The simple interest rate is ​3%. How much money did earn in​ interest?
Substitute the values into the equation.
Interest​ : $_ x _ x _%

Answers

Answer:

5,500 × 30%

Step-by-step explanation:

165.00 in intrest

please explain to me how to solve for x and y

Answers

Answer:

  (x, y) = (6, 2)

Step-by-step explanation:

You solve for x and y by writing equations that reflect the relation applicable to the given geometry.

The diagonals of a parallelogram bisect each other. That means the halves of each diagonal are equal.

  2x -4 = 4y . . . . . . down diagonal

  x +4 = 7y -4 . . . . . up diagonal

__

We can subtract the first equation from 2 times the second equation to eliminate the x-variable.

  2(x +4) -(2x -4) = 2(7y -4) -(4y)

  2x +8 -2x +4 = 14y -8 -4y . . . . . . eliminate parentheses

  12 = 10y -8 . . . . . . . . . . . . . . . . . collect terms

  20 = 10y . . . . . . . . . . . . . . . . . . add 8

  2 = y . . . . . . . . . . . . . . . . . . . . divide by 10

Substituting into the second equation gives ...

  x +4 = 7(2) -4

  x = 6 . . . . . . . . . . . . subtract 4

The values of x and y are (x, y) = (6, 2).

_____

The lengths of the diagonals are 20 and 16.

You are a civil engineer working on the design of a new
green space in your city. The space will include gardens,
playgrounds, and picnic areas. One section of the park will
be in the shape of a right triangle. A diagram of the
requirements for the triangular space is shown below.

2x+2 yards
2x yards
2x+4 yards

1. Explain what you know about the space you will be designing. List at least three pieces
of information. (2 points)

Answers

The2nd one is the best one

What is the equation of g(x)? g(x) = 10x â€"" 3 g(x) = 10x 3 g(x) = 10x â€"" 3 g(x) = 10x 3.

Answers

The equation of g(x) is [tex]\rm g(x) = 10^{x-3}[/tex].

Given that,

The graphs of f(x) = 10x and its translation, g(x), are shown.

We have to determine,

What is the equation of g(x)?

According to the question,

The given graphs of two functions f(x) and g(x).

The function f(x) is an exponential function and is given by:

[tex]\rm f(x) = 10^x[/tex]

To find the equation for the transformed function g(x).

We could see that the graph of the function g(x) passes through points (3,1), (4,10), (5,100), and so on.

This means that the equation or the expression for the function g(x) is given by:

[tex]\rm g(x) = 10 ^{x-3}[/tex]

Substitute the value of x = 3 in the function g(x),

[tex]\rm g(x) = 10 ^{x-3}\\\\g(3) = 10^{3-3}\\\\g(3) = 10^0\\\\g(3) = 1[/tex]

Substitute the value of x = 4 in the function g(x),

[tex]\rm g(x) = 10 ^{x-3}\\\\g(4) = 10^{4-3}\\\\g(3) = 10^1\\\\g(3) = 10[/tex]

Hence, The equation of g(x) is [tex]\rm g(x) = 10^{x-3}[/tex].

For more details refer to the link given below.

https://brainly.com/question/13148696

Answer:

the answer is a g(x)= 10x^-3

Step-by-step explanation:

The number of football games with a score less than or equal to 29 is equal to half the number of basketball games with a score greater than or equal to
.

For both sports, if the only games won were those with scores of 30 or higher, how many more basketball games were won compared to football games won?

What is the difference between the total maximum possible points scored by the basketball team last year and the total maximum possible points scored by the football team last year?
points

Answers

Answer:

basketball player scored 40 points in a game. The number of three-point field goals the player made was 22 less than three times the number of free throws (each worth 1 point). Twice the number of two point field goals the player made was 11 more than the number of three point field goals made. Find the number of free-throws, two point field goals, and three point field goals that the player made in the game.

Once I have the equations I understand how to do the problem, but I am obviously doing something wrong because each time I write out the equations I end up getting fractions.

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