Find the vertical asymptote(s) of f of x equals quantity x squared plus 3x plus 6 end quantity over quantity x squared minus 4.

Answers

Answer 1

Answer:

  x = -2, x = 2

Step-by-step explanation:

The denominator factors as ...

  x^2 -4 = (x -2)(x +2)

The numerator has no factors that cancel either of these, so the function will have vertical asymptotes where the denominator is zero: at x = -2 and x = 2.


Related Questions

Deshaun has 38 carnival tickets.
It costs 5 tickets to ride the roller coaster.
How many rides can he take?

Answers

Answer:

7 rides

Step-by-step explanation:

38/5=7 with a remainder of 3. He need 5 tickets to ride so he can only take 7 rides.

7 rides is the answer.
Explanation in steps: 38/5=7 with a remainder of 3. He can only take 7 rides because he needs 5 tickets to ride.

Help help help math

Answers

area of the circle is 12 inches ²

A company makes 80 bags.
24 of the bags have buttons but no zips.
22 of the bags have zips but no buttons.
29 of the bags have neither zips nar buttons.
A bag is selected at random.
What is the probability that the bag has buttons?

Answers

I would tell you darling but they don’t make 80 did you add a mistake to the numbers?

A microscope shows an image of an object that is 40 times the object's actual size. So, the
scale factor of the enlargement is 40. An insect has a body length of 4 millimeters. What is the
body length of the insect under the microscope?

160 centimeters

16 millimeters

1,600 millimeters

160 millimeters

Answers

Answer:

I don't know I wanna say the 3rd one

Step-by-step explanation:

12 in. to 36 in. increase in percent or decrease?

Answers

Answer:

33.3333%

Step-by-step explanation:

Answer:

12/36=0.333+

it decrease

Pls answer this problem

Answers

After studying for 3hrs you will score 70

A small cup holds 75% as much as a large cup. If the small cup holds 36 units, how much does the large cup hold?

Answers

Answer:

48

Step-by-step explanation:

75/100 = 36/x

x = 48

You move left 2 units and down 1 unit. You end at (-5, -5.) Where did yo start

Answers

Answer:

(-3, -4)

Step-by-step explanation:

(-5, -5)

2 units right

(-3, -5)

1 unit up

(-3, -4)

just go backwards

Answer:

(-3, -4)

Step-by-step explanation:

The x value in (-5, -5) is -5 and y is -5. To find the original position you reverse the translations done to get to the current position. So you add 2 (because you move 2 units right to reverse) to the x value which gives us -3 and add 1 to the y value (because to reverse we move 1 unit up) which gives us the original y value of -4.

the sum of two opposite angles of a parallelogram is 140 degree . find all the angles ofa parallelogram?

Answers

Answer:

since opp. angles of a parallelogram is equal.

therefore,

let the angle be x

thus,

x+x=140

2x=140

x=70°

co interior angles are supplimentary,

thus,

x+y=180

y=180-70

y=110°

opp. angles are equal thus,

fourth angle =110°

1st angle=70

2nd angle=70

3rd angle =110°

Step-by-step explanation:

find the interval in which the function is negative.

f(x) = x^2 - 3x - 4

I. (- infinite, -1)

II. (-1, 4)

III. (4, infinite)

A. III only

B. II only

C. I, II

D. I, III​

Answers

Answer:

  B. II only . . . (-1, 4)

Step-by-step explanation:

The function factors as ...

  f(x) = (x +1)(x -4)

The factors are zero when x=-1 and x=4. The value of the function will be negative when one of these factors is negative, between x=-1 and x=4. In interval notation, that interval is ...

  (-1, 4) . . . interval for f(x) < 0 . . . . . . interval description II (only)

enter a formula using k to connect the two variables. y is proportional to 1/x

Answers

[tex]y \propto \dfrac 1x\\\\\implies y = \dfrac kx[/tex]

Jehe44(66)=iisv(27 this is your answer

Hugo is mixing blue paint with red paint to create purple paint.
The ratio of blue to red is 3 to 2.

How many pints of blue paint will he use to create 40 pints of purple paint?

Answers

Answer:

24 pints of blue paint. I don't know of this is a solid way to get the answer, but I added 3+2=5. then 40/5=8. Then multiplied 8*3=24 and 2*8=16

Step-by-step explanation:

What is the image of O(1,4) after two reflections, first across the line y = 4, and then across
the line x = -2?

(-5,4)

(-2, 4)

(-1,8)

(1,4)

Answers

Answer:

A. (-5,4)

Step-by-step explanation:

A reflect on y=4 does not affect point (1,4) since it is on y=4

So a reflect on itself is the same

A reflection of x= -2 is trickier

Since the distance between x=-2 and (1,4) is 3 (I am only counting x-axis the distance between -2 and 1 is 3)

So we have to start at (-2,4) (Since the y-axis, "4" didn't change) and move it 3 points to the left

Which is (-5,4)

Thus A

Hope this helps!

solve -(-7x+9)+(3x-1)=0​

Answers

Answer: x = 1

Step-by-step explanation:

I NEEEEED HELP AND QUICK T~T

Answers

Answer:

5. Alt ext, 6. Alt int, 7. Alt ext, 8, SS Int, 9. Corr

Step-by-step explanation:

5. Alternate exterior since they are on opposite sides of the transversal but both are exterior to parallel lines.

6. Alternate interior, opposite sides of transversal but both are inside the parallel lines.

7. Alternate exterior, same as #1

8. Same side interior since they are on the same side of the transversal and both are inside the parallel lines

9. Corresponding since they are at the same place on the 2 parallel lines.

Subtract: -10 - (-21)

Answers

the answer is 11. hope this helps you!

PLEASE HELP 50 POINTS I WILL GIVE BRAINLIEST

Answers

Answer:

See image

Step-by-step explanation:

In both of these the words "more than" mean adding and not the symbol >

difference means subtracting

See image

Help rn have to get this done send answers

Answers

Answer:

D) 3 units

Step-by-step explanation:

Hope this helps! Pls give brainliest!

2
Which is the equation of a line that has a slope of 3 and passes through point
(-3,-1)?
2
1o -+1
O y=-3x+1
O y=-x+3
O y=-x-1
=
O y=-x-3

Answers

Answer:

Step-by-step explanation:

We'll start with the slope intercept form of a straight line equation:

y = mx + b, where x is the slope and b the y-intercept.  The slope we are given is 3, so:

y = 3x + b

We need a value of b that will force the line to go through (-3,-1).  Do this by entering that point in the equation and solving for b:

y = -3x + b

-1 = 3(-3) + b

b = 8

y = 3x + 8

Pls I need help quickly!

Mindy owns 20 pairs of shoes and every week she purchases two more pairs. How long will it take for her closet to have 50 pairs of shoes?

Answers

Answer: she will get 50 shoes in 15 weeks

How: she gets 2 pairs of shoes each week and she need 30 more shoes. 30 divided by 2 equals 15.

The number of weeks that takes for her closet to have 50 pairs of shoes will be 15 weeks.

What is an arithmetic sequence?

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

Mindy claims 20 sets of shoes and consistently she buys two additional matches.

The first term is 20 and the common difference between the succession terms is 2. Then the equation is given as,

aₙ = a₁ + nd

aₙ = 20 + 2n

The number of weeks is given as,

50 = 20 + 2n

50 = 20 + 2n

50 = 20 + 2n

Simplify the equation, then we have

2n = 50 - 20

2n = 30

n = 30 / 2

n = 15

The number of weeks that takes for her closet to have 50 pairs of shoes will be 15 weeks.

More about the arithmetic sequence link is given below.

https://brainly.com/question/12373434

#SPJ2

Cooper Toy Company has designed a new toy that uses a spring that follows a
sinusoidal curve after you wind it up and start it. At t = 5 seconds, the end of
the spring is at its highest point, 18 cm above the ground. Four seconds later,
the spring is at its lowest point, which is 6 cm above the ground. Find an
equation that will determine the height of the spring at any time t.
a) Find the height of the spring after 26 seconds.
b) Find the first time the height of the spring reaches 16 cm above the ground.

Answers

Answer:

Step-by-step explanation:

b] find the first time the height of the spring reaches 16 cm above the ground.

Expand and simplify (√10-√2)² Give your answer in the formn b-c√5 where b and c are integers

Answers

Answer:

12-4√5

Step-by-step explanation:

(√10-√2)²

(√10-√2)(√10-√2)

Foil/distribute

10-√20-√20+2

12-2√20

12-2√4*√5

12-2*2√5

12-4√5

On expansion of the algebraic identity of [tex](a-b)^2[/tex], the expansion of [tex](\sqrt{10}-\sqrt{2})^2[/tex] is [tex]12-4\sqrt{5}[/tex]. Thus making b = 12 and c = 4.

Algebraic identities are expansion of powers of algebraic expressions.

One such algebraic identity is the expansion of [tex](a-b)^2[/tex]. It is given by:

[tex](a-b)^2 = a^2+b^2-2ab[/tex]

Given the question,

[tex](a-b)^2 = a^2+b^2-2ab[/tex]

[tex](\sqrt{10}-\sqrt{2})^2 = ( \sqrt{10})^2+(\sqrt{2})^2 -2 ( \sqrt{10})(\sqrt{2})\\\\=10 + 2 - 2\sqrt{20}\\\\ =12 - 2\sqrt{2*2*5} \\\\= 12 -2*2\sqrt{5} \\\\=12-4\sqrt{5}[/tex]

Given the form, [tex]b - c\sqrt{5}[/tex],

On comparison,

b = 12

c = 4

Learn more about algebraic identities here

https://brainly.com/question/28853516

#SPJ2

if x and y are positive numbers xy = 96 what is the value of x

Answers

The value of x is 96/y where y is not equal to zero.

Given the expression that relates x and y as xy = 96

We are told that x and y are positive numbers. To get the value of x, we will divide both sides by y as shown:

[tex]xy = 96\\\frac{xy}{y} =\frac{96}{y} \\x = \frac{96}{y} \\[/tex]

From the result, we can conclude that the value of x is 96/y where y is not equal to zero.

Learn more on functions here: https://brainly.com/question/17431959

Sports Warehouse had a sale on two models of baseball gloves. Model A sold for $30.00, and model B sold for $45.25. A total of 52 gloves was sold. The total amount of sales earned on the gloves, excluding tax, was $2,078.50. How many model B baseball gloves were sold?

Answers

Answer:

34 Model B gloves were sold

Step-by-step explanation:

For all values of x, f(x)=2x+1 and g(x)=x^2. Solve fg(x)=gf(x). (Mathwatch)

Answers

[tex]\text{Given that,}\\\\f(x) = 2x+1,~~ g(x) = x^2\\\\\ \text{now,}\\\\f(g(x)) = g(f(x))\\\\\implies f(x^2) = g(2x+1)\\\\\implies 2x^2+1=(2x+1)^2\\\\\implies 2x^2+1= (2x)^2 +2\cdot 2x + 1\\\\\implies 2x^2 +1 = 4x^2 + 4x +1\\\\\implies 4x^2 -2x^2 +4x +1-1 =0\\\\\implies 2x^2 +4x =0\\\\\implies 2x(x+2)=0\\\\\implies 2x =0~~ \text{or}~~ x+2 =0\\\\\implies x =0 ~~~\text{or}~ x =-2\\\\\ \text{Hence,}~ x =0 ~\text{and} ~ x =-2~ \text{are the solutions.}[/tex]

Help help math math

Answers

Answer:

32

Step-by-step explanation:

hope this helps :)

It is asking you to use 3 for Pi. Volume is 4/3piR^3. Radius is 2cm, so the equation is V=(4/3)(3)(2)^3. The answer for this is 32cm cubed. Please give me brainliest thanks

Eight more than twice a number is equal to ten leas five times the number, n. Which equation can be used to find n?​

Answers

Answer:

Here is what I think the answer is.

n+2n+8 = 5n-10

3n+8 = 5n-10

    -8         -8

3n = 5n-18

-5n  -5n

-2n = -18

----      -----

-2         -2

n = 9

Step-by-step explanation:

It would be 8 + 2 = 10 - 5n I think.

i need help with this question, thx to anyone who helps! :)

Answers

Answer:

Golf balls

Step-by-step explanation:

There is a much higher chance of her picking an even number in the golf ball tank because there are way more golf balls with even numbers. (2, 4, 6, 8, etc.)

Please solve soon I need this problem solved or I will miss out on a Christmas party with my friends.

Answers

Answer:

Go have fun at your Christmas party!

Multiple Choice= 2 points each

Short Response= 4 points each

Step-by-step explanation:

You can set up a system of equations to find out how many points each type of question is worth.

x= multiple choice

y= short response

Equation 1 (You)

23x+10y=86

Equation 2 (Your Friend)

28x+5y=76

Solve with elimination. Multiply the second equation by negative 2 to cancel out the y-variable.

-2(28x+5y=76)

-56x-10y=-152

Subtract both equations together.

23x+10y=86

-56x-10y=-152

-33x= -66

x=2

Now that we found x, plug it into the first equation to solve for y.

23x+10y=86

23(2)+10y=86

46+10y=86

10y=40

y=4

Each multiple choice is worth 2 points, and each short answer response is worth 4 points.

What is 10/11x11/12 in the fraction form

Answers

Answer:

83/100

Step-by-step explanation:

10/11x11/12 is 0.8333333....

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