Mathematics High School


Graph the rational function
by identifying its key features.

Graph The Rational Function By Identifying Its Key Features.

Answers

Answer 1

The graph of the rational function is shown below

Graph of rational functions

From the question, we are to graph the given rational function

To determine the graph that corresponds to the given rational function,

First, we will graph the given rational function.

The given rational function is

x²+3x-1/x+1

The graph of the rational function is shown below

Now, we will compare each of the rational graphs in the provided options with the attached graph

The graph that corresponds to the given rational graph in the attachment below is the graph that represents the given rational function.

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Graph The Rational Function By Identifying Its Key Features.

Related Questions

the percentage of people who took less than 40 secs to complete a task give answer in 1 decimal place

Answers

Answer:

63.6%

Step-by-step explanation:

Total number of people that took the test = 110

People who took less than 40 seconds to complete the task = 30 + 40

                                                                   = 70

The percentage of the people that took less than 40 seconds to complete the task can be determined as follows:

= [tex]\frac{number of people who used less than 40 seconds}{total number of people who took the task}[/tex] x 1100%

= [tex]\frac{70}{110}[/tex] x 100%

= 0.6364 x 100%

= 63.6%

The percentage of the people that took less than 40 seconds to complete the task is 63.6%.

Steps for -3(x+2)=4+2x

Answers

Answer:

x = -2

Step-by-step explanation:

-3(x + 2) = 4 + 2x

= -3x + -6 = 4 + 2x  (Distribution: -3)

= -3x + -2x - 6 = 4  (Moving the variables to the left and change the signs)

=  -3x + -2x = 4 + 6 (Move consatnts to the right and change signs)

= -3x - 2x = + 6  --> (Collect like terms)

= -5x = 10 (Then add)

= (divide -5x = 10 by -5)

= x = 2

graph the parabola. y=(x-3)^2-1

Answers

Answer:

Step-by-step explanation:

y = (x-3)²-1

This is the equation for an up-opening parabola with vertex (3,-1).

Find the x-intercepts:

0 = (x-3)²-1

(x-3)² = 1

x-3 = ±1

x = 4, 2

The graph crosses the x-axis at (4,0) and (2,0).

Find the y-intercept:

y = (0-3)²-1 = 8

The graph crosses the y-axis at (0,8).

Plot your four points (3,-1), (4,0), (2,0), (0,8). Draw an up-opening parabola through the points.

Urgent please help..

Answers

Answer:

72

Step-by-step explanation:

find x using the pythagorean theorem

Answers

X= 9.33

Because side x had two intersecting lines that create 90° angles, we can assume that if we cut off the rectangular part of the shape, the other lines would be the same. Now, we are left with the triangular shape. We know that the hypotenuse is 16, but because we got rid of the rectangular part of the shape that had 5 on that side, we have to subtract 18 by 5 to make sure the shape is correct. Now, that side is 13.

Now we solve: 13^2 +x^2=16^2.
169+x^2=256
-169 -169
———————-
X^2=87

Now you square root both sides by 2, getting X= 9.33

What is the scale factor from triangle DEF to triangle ABC?

Answers

Answer:

i think you need to include a picture  

Step-by-step explanation:

PLEASE HELP! Due in a few hours!!
You need to workout the area of the shape :)

Answers

Answer:

breakdown the initial figure into 2 rectangle

and add their area

Amy’s cake shop is building a three tier circular wedding cake. The top layer has a radius measuring 2.5 inches. The next layer is 3 inches longer off the side of the first layer, and the third layer is 3 inches longer than the second layer. What is the circumference of the third layer?

Answers

it would be 8.5 because all you have to do is add 3 to 2.5 then you’ll get 5.5 then do that one more time.

I need help it's due by 7

Answers

Answer:

Step-by-step explanation:

w=204.8

Answer:

204.8

Step-by-step explanation:

8x25.6=204.8

DOuble Check:

204.8 divided by 25.6=8

Find the measure of the arc or angle indicated.

Answers

Answer: The correct is 114

Step-by-step explanation: Hope this helps

what are the rules for multiplying negative numbers?​

Answers

Answer:

When multiplying negative numbers, just remember 2 things. 1: 2 negative values will always give a positive value. 2: If you only have 1 negative value, your answer will also be negative. Just remember these rules and the rest is simple multiplication.

Answer:

Hi there! Your answer is down below!

Step-by-step explanation:

The rule of how to multiply negatives is simple: For a case where a negative number is multiplied by a positive, the rule above can be restated as: take the positive number, and the negative WITHOUT the minus sign, multiply them and add the inus sign to the product.

Have a nice day!

A wooden box has the shape of a rectangular prism. The inside of the box is also a rectangular prism. What is the volume of the solid part of the box? Enter your answer below.

Answers

Answer:

1242

Step-by-step explanation:

Factor completely the given polynomial
x(x + 20) + 11(x + 20)

x(x + 20) + 11(x + 20)=

Answers

Answer:

(x + 20)(x + 11)

Step-by-step explanation:

x(x + 20) + 11(x + 20) =

Factor out the common factor of x + 20.

= (x + 20)(x + 11)

The binomials make it look complicated, but this is simpler than you think.

Look at this simpler, but similar, example.

Factor xy + 4y

xy + 4y =

You see clearly that y is a common factor, so you factor out y, and you get

= y(x + 4)

In your problem, you have

x(x + 20) + 11(x + 20) =

where (x + 20) is the common factor.

You factor out the common factor, (x + 20). What is left? x + 11 as a factor, so you get

(x + 20)(x + 11)

Expand: logh(9jk) Log Subscript h Baseline 9 times log Subscript h Baseline j times log Subscript h Baseline k Log Subscript h Baseline 9 + log Subscript h Baseline j + log Subscript h Baseline k Log 9 + log j + log k

Answers

Answer:

log h 9 + log h j +log h k

Step-by-step explanation:

i got it right on edg

Answer:

it is B for all u speed run edge people

Step-by-step explanation:

big luck in life

The formula A-lw is used to calculate the area A of a rectangular surface using the length and the width
(w) of the surface. Which formula could be used to find w in terms of A and I?

Answers

The area of a rectangle is the product of the two sides. One side is the height of the can, the other side is the perimeter of the circle, since the label wraps once around the can. So the area of the rectangle is (2 pi r)* h.

A workman received $110 for working 20 hours. At the same rate of pay, how many hours must he work to earn $187?

Answers

Answer:

He must work 34 hours

Step-by-step explanation:

187×20= 3740

3740÷110= 34

If a workman received $110 for working 20 hours. At the same rate of pay, 33.99 hours must be worked to earn $187.

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 basic four operators that are +, -, ×, and ÷.

It is given that, A workman received $110 for working 20 hours.

We will apply the unitary method in order to solve the given problem.

For $110 he has to work 20 hours.

$110 = 20 hours

For 1 dollar he has to work,

$1 = 20 / 110

$1 =0.1818 hours

The number of hours must he work to earn $187 will be,

$187 = 187 × 0.1818 hours

$187 = 33.99 hours

Thus, if a workman received $110 for working 20 hours. At the same rate of pay, 33.99 hours must be worked to earn $187.

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Please help me I will mark you brainliest !!

Answers

Answer:

it would be 5x+2y=10 look at pic for math

Kayden and his children went into a bakery and will buy donuts and cookies. Each donut costs $1 and each cookie costs $0.75. Kayden has a total of $15 to spend on donuts and cookies. Write an inequality that would represent the possible values for the number of donuts purchased, dd, and the number of cookies purchased, c.c.

Answers

Step-by-step explanation:

1+.75= blank

then subtract 15 and answer above. make sure when you write your final answer to label it. is it chairs, puppies? hope this helps! you got this

What 895 times 50??
(Only Answer If You Want Spam)

Answers

Answer:

44750

Step-by-step explanation:

Baby Rachel wants to arrange 12 blocks in a row. How many different arrangements can she make

Answers

Answer:

479,001,600 different arrangements

Step-by-step explanation:

Select all that apply.

Chandler can mow 2 lawns per hour. If L represents lawns and H represents hours, which of the following equations represent this rate relationship?
L = 2 × H
H = × L
H = 2 × L
L = × H

Answers

Answer:

L = 2 × H

Step-by-step explanation:

The amount of lawns mowed would equal 2 times how many hours because he can mow 2 lawns in a hour.

Answer:

mark other guy brainliest pls. good answer guy above my head

Step-by-step explanation:


Use Inverse trig functions to solve for the missing angles
D
8.5
F
E
6.5

Answers

Answer:

Angle <E is approximately 40 degrees, and angle <D is approximately 50 degrees

Step-by-step explanation:

Since angle <F is clearly 90 degrees, we can find angle E using the cosine function that relates the adjacent side to the angle with the hypotenuse:

[tex]cos(\theta)=\frac{adj}{hyp} \\cos(E)=\frac{6.5}{8.5}\\E = arccos(\frac{6.5}{8.5})\\E\approx 40.12^o[/tex]

And we use the sin function to deal with angle <D:

[tex]sin(\theta)=\frac{opp}{hyp} \\sin(D)=\frac{6.5}{8.5}\\D = arcsin(\frac{6.5}{8.5})\\D\approx 50^o[/tex]

On April 1, 1986, Casey deposited $1150 into a savings account paying 9.6% interest, compounded quarterly. If he hasn't made any additional deposits or withdrawals since then, and if the interest rate has stayed the same, in what year did his balance hit $2300, according to the rule of 72? A. 1993 B. 1992 C. 1994 D. 1991​

Answers

In 1993 year his balance will hit $2300.

What is compound interest?

The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. A = P(1 + r/n)^nt, where P is the principal balance, r is the interest rate, n is the number of times interest is compounded annually, and t is the number of years, is the formula for compound interest.

Given, On April 1, 1986, Casey deposited $1150 into a savings account paying 9.6% interest, compounded quarterly.
Here the given amount = $1150

Amount after getting compound interest in this amount = $ 2300

Since, $2300 is double to the amount $1150

According to the rule of 72, an amount is doubled if the product of annual rate and period (in years) is equal to 72. Also, with the help of this rule we get the approximate value of rate or time.

Since, Here the annual rate of interest = 9.6%

Let the given amount $1150 is doubled ($2300)  in t years.

The, 9.6 × t = 72

⇒ t = 72/9.6 = 7.5

Since he deposited money on April 1 1986,

Thus, Her amount be $2300 on 1993

Therefore,  In 1993 year his balance will hit $2300.

Learn more about compound interest here:

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y=x/3+2.
Its a benchmark pls help

Answers

Answer:

Slope:

y= 1/3

What is the equation for p?

Answers

F(x)=(x)-1 I think that’s the answer but use Desmos to figure out

Write your question here (Keep it simple and clear to get the best answer)When A Number Is Subtracted From 1010001 the Difference Is 910002 find The Number?

Answers

Answer:

[tex]99999[/tex]

Step-by-step explanation:

Let the number be [tex]x[/tex].

According to question, if a number is subtracted from 1010001 the difference is 910002.

[tex]1010001-x=910002[/tex]

Transpose [tex]1010001[/tex] to the right side of the equation.

[tex]-x=910002-1010001=-99999\\-x=-99999[/tex]

Multiply both sides by [tex]-1[/tex]

[tex]-x(-1)=-99999(-1)\\x=99999[/tex]

So, if [tex]99999[/tex] is subtracted from 1010001 the difference is 910002.

Emily made $12.50 selling lemonade for 2 hours. At that rate, how long would she have to sell lemonade to eam $100?
O 16 hours
O 8 hours
O 625 hours
O 4 hours ​

Answers

Answer: 16 hours

Step-by-step explanation:

100/12.5 = 8

8•2 = 16

16 hours

i need help with this

Answers

Answer:

112

Step-by-step explanation:

To find the area, you must multiply the width and the length. 14 times 8 is 112.

for what values of x and y is PQRS and parallelogram

Answers

Answer:

x = 2

y = 3

Step-by-step explanation:

Measures of opposite sides of a parallelogram are equal.

Therefore,

PQ = SR

2y + 2 = y + 5

2y - y = 5 - 2

y = 3

QR = PS

2x + 3 = y + 4

2x + 3 = 3 + 4 (y = 3)

2x = 7 - 3

2x = 4

x = 4/2

x = 2

Thus, for x = 2 and y = 3, PQRS is a parallelogram.

In 50 trials both coins land in a shaded box twice. What is the experimental probability that both coins fall into a shaded box?

Answers

Answer:

1 / 25

Step-by-step explanation:

Number of trials = 50

Number of successes (number of times both coins land in a shaded box) = 2

Experimental probability = (number of successes / number of trials)

Experimental probability (both coins landing into a shaded box) = 2 / 50

= 1 / 25

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