Which function has a graph with a vertical
asymptote at x = 7 and a horizontal asymptote at
f(x) = -3?
Please help me

Answer:

[tex]f(x)=\frac{1}{x-7}-3[/tex], see the graph attached for a visual reference.

Step-by-step explanation:

Vertical asymptotes are only present in rational functions where the parent function [tex]f(x)=\frac{1}{x}[/tex] has a vertical asymptote at the line [tex]x=0[/tex] and a horizontal asymptote at the line [tex]y=0[/tex]. Because the vertical asymptote has to be [tex]x=7[/tex], the denominator must be x-7 in order for the denominator to equal 0. For the horizontal asymptote to be [tex]y=-3[/tex], then 3 must be subtracted from the rational function. Therefore, the function that has these asymptotes is [tex]f(x)=\frac{1}{x-7}-3[/tex].

Avi's pet hamster Chubby loves to run in his hamster wheel. During one "race", Avi counts 1000 rotations of the wheel. She wants to know how far Chubby ran, so she measures the diameter of the wheel and finds that it is 20 cm. How far did Chubby run

Gretchen made a paper cone to hold a gift for a friend. The paper cone was 14 inches high and had a
radius of 4 inches. Find the volume of the paper cone to the nearest tenth. Use 3.14 for it.
The volume of the paper cone is about
in?

What is the perimeter of the kite-shaped quadrilateral IKDN?

HELP PLZ! ID.K HOW TO DO THIS! :) (RIGHT ANSWER WILL GET BRANLIEST)

Erica goes to the outlet mall to shop for some T-shirts and a pair of jeans. Store A charges $7 for each T-shirt and $15 for a pair of jeans. Store B charges $5 for each T-shirt and $23 for a pair of jeans.

Erica only has time to visit one store. Which inequality represents the number of T-shirts Erica can buy, if a purchase from store B was to cost no more than the same purchase from store A?


A. ) x ≥ 4
B. ) x ≤ 4
C. ) x ≥ 19
D. ) x ≤ 19

Find the slope and y-intercept of the line in the graph. Express the answers as simplified fractions, if
necessary

The slope is m =
The y-intercept is b =

‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍ ‍

PLS PLS HELP SO
MY TIME WAS .87 .94 .72 AND MY AVERAGE WAS 2.05

WHAT COULD BE THE DISTANT?

A water balloon is thrown out of a window 96 feet above the ground. The balloon is traveling downward at 16 feet per second initially. If h is the balloon’s height in feet after t seconds, then

h = -16t2 -16t + 96,

It will take the balloon ____ seconds to hit the ground.

The length of the rope is 13 m, out of which 9 m of the rope is used for fixing
a banner . Find the length of the remaining rope.

Can I get some help plz

Which of the following is NOT funded by sales tax collected by the government? 7 points


A. hospitals

B. grocery stores

C. highways

D. libraries

How many triangles can be constructed with sides measuring 6 cm, 2 cm, and 7 cm?


one

more than one

none

Can someone help me with this?

What is the area of the shaded region ?

please help! giving brainlest if explained

The data set represents the number of books borrowed from the library by 10 randomly selected people. What is the estimated mean absolute deviation of the population of all borrowers? {3,4,3,5,2,6,4,3,4,6}

What is the value of u ?

Judah rides his bike 15 miles in 1/2 an hour. How many miles does he ride in one hour?

The line plot shows the ages of participants in two group activities at a science center.

What conclusion can be drawn about the data sets?


More 14- and 15-year olds are in group 2 than in group 1.

Group 1 participants have a greater range in age than group 2 participants.

The median age of participants in group 2 is older than the median age of participants for group 1.

The mean age of participants in group 2 is younger than the mean age of participants in group 1.


Two line plots one above the other, both are labeled from ten to twenty five by ones. The top line plot is labeled Age of participants dash group one and it has five Xs above fifteen, four Xs above fourteen, two Xs above thirteen, sixteen, and nineteen and one X above ten, twelve, seventeen, eighteen, and twenty. The bottom line plot is labeled Age of participants dash group two and it has four Xs above seventeen, three Xs above eighteen, two Xs above eleven, fifteen and sixteen and one X above twelve, thirteen, fourteen, ninteen, twenty, twenty three, and twenty five.

AND

What is the overlap of Team 1 and Team 2?


high

medium

low

none
Two line plots aligned vertically so that their labels match. The first line plot is from 72 to 82, is labeled Team 1, and shows the following values that appear as x marks above the line. One x mark above 73. Two x marks above 74. Two x marks above 75. Three x marks above 76. Two x marks above 77. One x mark above 78. One x mark above 80. The second line plot is also from 72 to 82, is labeled Team 2, and shows the following values that appear as x marks above the line. One x mark above 74. Two x marks above 75. Four x marks above 76. Two x marks above 77. One x marks above 78. One x mark above 79. One x mark above 80.

A meteor is traveling at 2.9 miles per second. How far does it travel in 0.75 seconds? (no link please)

I need the Answer NOW

in the United States, a person 18 years of older can vote. Write an inequality to represent the age. a. OF The People that can vote.
​

PLSS HELPP MMEEE FASSTT

Jasper kept track of how long he had to wait for a train. The data below shows the wait time in minutes for 5 days.

Please help meh
NO LINKS

I need help on this question

A grocery store received two shipments of watermelon. Each watermelon in a shipment was weighed, then a line plot was made of all of the weights in a shipment.


What statement about the two plots’ distributions is true?



The degree of overlap between the two distributions is high.


There is no overlap between the two distributions.


The degree of overlap between the two distributions is low.


The degree of overlap between the two distributions is moderate.

Two line plots with the same scale and interval, from fifteen to twenty-five, with tick marks every one unit. The plots are stacked vertically for comparison. Values appear as x marks above the line. Each plot has eighteen data values. Upper plot is labeled Shipment 1.

Lower plot is labeled Shipment 2. Under each plot is the label Weight, in pounds. Upper plot data values are one x mark above sixteen, one x mark above seventeen, one x mark above eighteen, one x mark above nineteen, two x marks above twenty, three x marks above twenty-one, four x marks above twenty-two, three x marks above twenty-three, three x marks above twenty-four, and one x mark above twenty-five. Lower plot data values are one x mark above sixteen, two x marks above seventeen, three x marks above eighteen, four x marks above nineteen, three x marks above twenty, three x marks above twenty-one, two x marks above twenty-two, zero x mark above twenty-three, and one x mark above twenty-four.

PLS HELP, WILL REWARD BRAINLIEST !!

Fill in the blanks using this diagram.