Which statements describe the key features of the graph of ? Check all that apply.
The graph has a y-intercept at –2.
The graph has an x-intercept at –6.
The graph has a vertical asymptote at x = 3.
The graph has a vertical asymptote at x = –3.
The graph has a horizontal asymptote at y = 1.

Answers

Answer 1

Answer:

The answer is A,B,D

Step-by-step explanation:

I got it right on EDGE

Answer 2

The required key features of the given [tex]y\ =\ \frac{\left[18-3x-x^{2}\right]}{x^{2}-9}[/tex] area as follows,
(A) The graph has a y-intercept at –2.
(B) The graph has an x-intercept at –6.
(D) The graph has a vertical asymptote at x = –3.

What are functions?

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Given function
[tex]y\ =\ \frac{\left[18-3x-x^{2}\right]}{x^{2}-9}[/tex]

Draw the graph of the above function,
From the graph, we can conclude the points that,
The Y-intercept of the function is y = -2, the X=intercept of the function is x = -6, and the vertical asymptote at x = –3.

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Related Questions

-2(x+4)²= -200

can you guys please help

Answers

Answer: x= 6 or - 14

Lydia receives a $2,000 gift and wants to open a savings account. Which bank interest would be the best for her if the current inflation rate is 3.5%?

Answers

Answer:

the best interest rate would be a minimum of 3.5% annual interest

Step-by-step explanation:

An inflation rate of 3.5% would mean that the buying power of Lydia's money would decrease by 3.5% every single year. Therefore, the best interest rate would be a minimum of 3.5% annual interest. That way she would at least maintain the same buying power with her money as the day that she first placed it in the account. Any interest rate higher than 3.5% would be even better as Lydia will begin to make a profit from her savings.

The ratio of men to women working for a company is 5 to 7 if there are 133 women working for the company what is the total number of employees

Answers

228 employees in total

whats 7, −6, 4, −10, 3 least to greatest

Answers

Answer:

-10, -6, 3, 4, 7

Step-by-step explanation:

Hope it helps ^^

Fill in the blank with the correct response.

if 9/24=3/x then x is

Answers

Answer:

x=8

Step-by-step explanation:

9/24=3/x

x=(24*3)/9

x=72/9

x=8.

Hope this helps :D Hit that crown!!!!

Answer:

x = 8

Step-by-step explanation:

Step 1: Cross-multiply

9 * x = (3) * (24)

9x = 72

Step 2: Divide both sides by 9.

9x/9 = 72/9

x = 8

Brainliest?

Carlos tosses a coin 3 times. What is the probability of a coin landing heads up all three times?

Answers

Answer:

1/8, or 12.5%.

Step-by-step explanation:

Answer:

[tex]\frac{1}{8}[/tex]

Step-by-step explanation:

Find the quotient of
7 divided by 8

Answers

Answer:

0.875

Step-by-step explanation:

i used my calculator :D

Answer:

0.875

Step-by-step explanation:

Just divide 7/8

Hope this helped, Have a Wonderful Day!!

Please, I give 20 score. Find the volume

Answers

Answer:

2388.16 in³

Step-by-step explanation:

1) find volume of cylinder

formula: πr²h

given:

π = 3.14

r = 8/2 = 4 in

h = 9 in

[tex]\pi \: r {}^{2} h[/tex]

[tex](3.14) \times (4 {}^{2} ) \times 9[/tex]

[tex]3.14 \times 16 \times 9[/tex]

[tex]452.16 \: {in}^{3} [/tex]

2) find volume of cuboid

formula: length × width × height

given:

length = 16 in

width = 11 in

height = 11 in

[tex]l \: \times w \: \times h[/tex]

[tex]16 \times 11 \times 11[/tex]

[tex]1936 \: in {}^{3} [/tex]

total volume of figure

= volume of cylinder + volume of cuboid

= 452.16 in³ + 1936 in³

= 2388.16 in³

Solve formula as indicated. - F = m + 2a for a

Answers

Answer:

The value of 'a' will be:

[tex]a\:=\:-\frac{f}{2}+-\frac{1}{2}m[/tex]

Step-by-step explanation:

Given the formula

[tex]-F = m+2a[/tex]

Let us solve the equation for 'a'

[tex]-F = m+2a[/tex]

Flip the equation

[tex]2a+m=-f[/tex]

Add -m to both sides

[tex]2a+m+(-m)=-f+(-m)[/tex]

[tex]2a = -f - m[/tex]

Divide both sides by 2

[tex]\frac{2a}{2}=\:\:\frac{-f\:-\:m}{2}[/tex]

[tex]a\:=\:-\frac{f}{2}+-\frac{1}{2}m[/tex]

Therefore, the value of 'a' will be:

[tex]a\:=\:-\frac{f}{2}+-\frac{1}{2}m[/tex]

Suppose a classmate is having difficulty solving 4(x - 7) > 6x + 2 + 8x.
Explain how to solve the inequality, showing all the necessary steps and
identifying the properties you would use.

Answers

Answer:

X < -3

Step-by-step explanation:

First, you would want to distribute the 4 to the x and the -7. Distribution is just multiplying. So it would be 4x - 28. Then youd combine the like terms which would be 6x and 8x. Add them. You’re inequality should look like this.

4x - 28 > 14x + 2

you need to get the x’s all on one side. I suggest subtraction -4x from both sides to not only cancel out the 4x but it also keeps both sides equal

-28 > 10x + 2

you need to get 10x by itself on the right side so you must subtract 2 from both sides to equal and remove 2

-30 > 10x

divide both sides by 10 to get x by itself

-3 > x

which is the same as x < -3

Sharon runs a screen-printing business. To print T-shirts each day, it costs her $200 in labor plus $5 per T-shirt for materials. Her income is $15 for each T-shirt she sells. How many T-shirts does Sharon need to sell each day in order for her costs to equal her income for that day?


(i mainly need the equation for this problem)

Answers

Answer:

Equation: 15n = 200 + 5n

Number of T-shirts: 20

Step-by-step explanation:

We need to find an expression for the costs for 1 day for making n number of T-shirts and an expression for the income for 1 day for selling n number of T-shirts. Then we set the expressions equal and solve for n, the number of T-shirts.

Expenses in 1 day:

The expenses are a fixed cost of $200 plus the cost per T-shirt.

$200 plus $5 per T-shirt

We need an expression for the cost per T-shirt in terms of n, the number of T-shirts.

If she makes 1 T-shirt, she spends $5 * 1.

If she makes 2 T-shirts, she spends $5 * 2.

If she makes n T-shirts, she spends $5 * n, or simply 5n.

Her total costs for a day are:

200 + 5n

Income in 1 day:

All the income comes from selling T-shirts.

She sells 1 T-shirt for $15 * 1.

She sells 2 T-shirts for $15 * 2.

She sells n T-shirts for $15 * n, or simply 15n

Her total income for 1 day is:

15n

Now we set the costs equal to the income and solve for n.

15n = 200 + 5n           <---------   here is the equation you need

Subtract 5n from both sides.

10n = 200

Divide both sides by 10.

n = 20

Answer: She needs to sell 20 T-shirts.


I need help with this

Answers

Answer:

A.

Step-by-step explanation:

I gotchu fam. The first thing that you would want to do is find the slope. The slope is the change in y divided by the change in x. Based on the points on the line, the change in y is 2 because it goes up two, and the change in x is one because it goes over 1. This would make your slope 2/1, or just 2! Now we have our slope, so we want to find our y-intercept. There are two ways that we can do this. The first way is just eyeballing it, but sometimes that's not always accurate. We're just going to do that because its faster (lol). It looks around -2. With this information, we have our entire equation! y=mx+b. we can plug in our information. y=2x-2. And that's how your answer's A! Hope this helps.

The seventh grade class is having a dance. They are selling tickets for $8 each. How many tickets do they need to sell to pay for their expenses, which equal $256?​

Answers

Answer:

They need to sell 32 tickets

Step-by-step explanation:

256/8=32

Answer:

They need to sell 32 tickets to pay for their expenses.

pweese help!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

D

Step-by-step explanation:

Identify which line from the graph the following right triangles could lie on

Answers

Answer:

There is no graph.

If V2=200mL, C1=80%, C2=50%, what is V1?

Answers

Answer:

125 mL

Step-by-step explanation:

We are given:

V₁ = x mL

C₁ = 80%

V₂ = 200 mL

C₂ = 50%

Solving for x:

We know that:

V₁C₁ = V₂C₂                                [Concentration formula]

replacing the values:

x(80) = (200)(50)

x = 125 mL                                [Dividing both sides by 80]

Help meeee anyyyonee

Answers

Answer: 8,16

Step-by-step explanation:

Simplify -x+5+7x-2+2x+3

Answers

Answer:

on simplifying the answer would be 8x +8

Answer:

8x + 6

Step-by-step explanation:

add all x values together and all normal values together

-x+7x+2x=8x

5-2+3=6

Write three numbers greater than 20 that have 9 as a factor​

Answers

Answer:

Here are three multiples of nine that exceed 20:

Step-by-step explanation:

9(3) = 27

9(4) = 36

9(5) = 45.

Help!!! Just those two, please

Answers

A. Multiply the area of the original store by the percent increase then add that to the original amount.

1200 x 0.75 = 900

1200 + 900 = 2100

Answer: 2,100 square feet.

B. 2000 x 0.30 = 600

2000 + 600 = $2,600

2600 x 0.05 = 130

2600 + 130 = 2,730

Rent :$2,730

What’s the answer to this radical functions equation ASAP

Answers

9514 1404 393

Answer:

  y = ∛(x -4) -1

Step-by-step explanation:

The transformation ...

  g(x) = f(x -h) +k

translates the graph of f(x) h units to the right and k units up. Here, the cube root function is translated 4 units right and 1 unit down, so h=4 and k=-1. Putting those into your equation gives ...

  y = ∛(x -4) -1

Amy raises $58.75 to participate in a walk-a-thon. Jeremy raises $23.25 more than Amy. Oscar raises 3 times as much as Jeremy. How much does Oscar raise? Please show work and equation and this is 5th grade math.

1. 246.00
2. 245.00
3. 246.08

Answers

Answer:

246.00

Step-by-step explanation:

58.75+23.25=82 then 82*3

Answer:

246.000

Step-by-step explanation:

Well If you take it and Line it up like this,

(A)Amy; 58.75

(J)Jeremy; A+23.25

(O)Oscar; A+23.25= ?x3

This is an easy way to find out what it is you need to do, So A+23.25 is 58.75+23.2 which should give you the value of 82, which brings you to the next step of A+23.25= ?x3 which in this you only wanna focus on the ?x3, we now know ?= 82 so this brings it to 82 times 3 which gives you a value of 246. Thus giving you your answer.

  Hope this helps.

A librarian finds that the number of hours spent reading a book over a month, R, is dependent on the numbers of hours a person spends at the library over the course of a month, x, and can be modeled by the function
R(x)=26+1.5x
Draw the graph of the reading function by plotting its R-intercept and another point.

Answers

The given modeled function is R(x)=26+1.5x

where R(x) is the number of hours spent reading a book over a month

and x is the number of hours a person spends at the library over the course of a month.

Representing R(x) on the y-axis and x on the x-axis,

Puttinv x=0 to get the R(x) intercept as

R=36+1.5 x 0 = 36

So, (0,36) ia a point.

Determining other-point by putting any arbitrary value of x other than 0.

Putting x=2, to get the other point

R=36+1.5 x 10 =51

So, the other point is (10,51).

Now, joining both the points to get the graph of the given linear equation as shown in the figure.

Answer:

(0,26) (4,32)

Step-by-step explanation:

The function R(x)=26+1.5x is a linear equation, so its graph is a straight line that can be drawn by plotting 2 points and connecting them.

Its R intercept occurs when x=0, so

y(0)=26,

and (0,26) is the R-intercept.

To find another point, plug in another x value into the function y(x). For example, when x=4, we have

R(4)=26+1.5(4)=32.

So, (4,32) is another point on the graph of R(x).

There are 32 desks in a room,
If x represents the number of rows of desks, which expression would equal the number of desks in each row?
32 x
32-x.
32 +x
32/x

Answers

Answer
32/x
Explanation
I think this is correct, the others wouldn’t make sense

The expression would equal the number of desks in each row is 32/x. Therefore, option D is the correct answer.

Given that, there are 32 desks in a room.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Now, x represents the number of rows of desks.

The number of desks in each row = Total number of desks in a room / The number of rows of desks

= 32/x

The expression would equal the number of desks in each row is 32/x. Therefore, option D is the correct answer.

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Dwight's club has 35 members. Its
rules require that 60% of them must
be present for any vote. At leas how
many members must be present to have
a vote?

Answers

Answer:

21 memebers must be present

Step-by-step explanation:

First we have to convert the percent to decimal form for an easier calculation. Do this by taking 60 and dividing by 100.

You should get 0.60, now just multiply .60 by 35 and you'll get the answer of 21.

Jenny bought a pair of shoes for $49.76 with a 30% off coupon. How much will she pay in total after 7% sales tax?



Answers

Answer: the final price is $37.26

Step-by-step explanation:

Always when we have an increase in a percentage X%, with an initial amount A, the new amount will be:

A + A*(X%/100%)

And for a decrease, the equation is_

A - A*(X%/100%)

Then if the initial price is $49.76, and there is a decrease of the 30%, the new price will be

$49.75 - (30%/100%)*$49.75 = $34.83

Now we have an increase of the 7% because of the IVA, then the final price is:

$34.83 + (7%/100%)*$34.83 = $37.26

Joshua places the letters in the word SNOWMAN in a bag. A letter is drawn randomly and not replaced. Then another letter is selected. What is the probability of Joshua selecting a W and then a N?

Answers

Answer:

13/42

Step-by-step explanation:

1/7 + 1/6

13/42

6/15 of a ton of wood is to be split between 8 decks evenly. How much wood will be used for each deck?

Answers

Answer:

1/16 tons of wood per deck

Step-by-step explanation:

6/15 ÷ 8

6/15 × 1/8 (Keep Change Flip)

6/96 = 1/16

Amy makes an initial investment of 5000$. The investment losses 13.5% each year. Find the amount Amy has at the end of 8 years

Answers

Answer:

156.71$

Step-by-step explanation:

[tex]A=P(1-r \%)^ t\\=500(1-13.5 \%)^8\\=500(0.865)^8\\\approx 156.71[/tex]

a.

[tex] \cot^{2} - \cos ^2a = \cot ^{2} a \times \cos ^{2} a[/tex]

Answers

Step-by-step explanation:

We need to prove that,

[tex]\cot^2 a-\cos^2 a=\cot^2 a\times \cos^2 a[/tex]

Taking LHS,

[tex]\cot^2 a-\cos^2 a[/tex]

We know that,

[tex]\cot a=\dfrac{\cos a}{\sin a}[/tex]

​[tex]=(\dfrac{\cos a}{\sin a})^2 -\cos^2 a\\\\=\cos^2 a(\dfrac{1}{\sin^2 a}-1)\\\\=\cos^2 a(\dfrac{1-\sin^2a}{\sin^2 a})\\\\=\cos^2 a\times \dfrac{\cos^2 a}{\sin^2 a}\\\\=\dfrac{\cos ^2 a}{\sin^2 a}\times \cos^2a\\\\\because \ \dfrac{\cos ^2 a}{\sin^2 a}=\cot^2 a\\\\=\cot^2 a \times \cos^2a\\\\=RHS[/tex]

So, LHS = RHS

Hence, proved.

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