identify the vertical and horizontal asymptotes for f(x)=2x^2+4 over x^2-5x+6

Answers

Answer 1

The vertical asymptotes are 2 and 3 and horizontal asymptotes is 2

What are horizontal and vertical asymptote?

An asymptote is a horizontal/vertical oblique line whose distance from the graph of a function keeps decreasing and approaches zero, but never gets there.

Vertical asymptotes can be found by solving the equation n(x) = 0 where n(x) is the denominator of the function.

Therefore, the denominator is x²-5x+6,

= x²-5x+6 = 0

using factorization method

x²-3x-2x+6 = 0

(x²-3x)(-2x+6) = 0

x(x-3) -2(x-3)

x-2 = 0 or

x-3 = 0

x = 2 or 3

The degree of the power of numerator and denominator are equal, there for the horizontal asymptote y = 2x²/x² = 2

therefore the vertical asymptote is x = 2and 3 and horizontal asymptote is y = 2

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Related Questions

HELP DUE IN 15 MINS!

Find the length of the diagonal of the square and the variables. You can round to the nearest tenth.

diagonal =??

x =?? degrees

° y =?? degrees

Answers

Answer:

Diagonal ⇒ d = 6√2 = 8.5 iny = 90° (diagonals are perpendicular)x = 45° (isosceles right triangle)

10. Express the following as a single fraction.
x-1 +x+2 + x
2
5
4

Answers

Answer:

x+x+x=3x

2-1=1

3x+1

this is ansver

find value of m

[tex] {m}^{2} + 35 = 240 \div (12 \div 3)[/tex]

Answers

Answer:

5 ( or ) - 5

Step-by-step explanation:

12/3 = 4

240/4 = 60

m² + 35 = 60

m² = 60 - 35

m² = 25

m = - 5 ( or ) 5

Because,

( - 5 )² = - 5 * - 5 = 25

5² = 5 * 5 = 25

The state transportation commission counted cars traveling east and west across a toll bridge. The commission counted 486 cars traveling east and 189 cars traveling west. What percentage of the cars were traveling east?

Answers

The percentage of cars traveling east is 28% of the total number of cars.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, The commission counted 486 cars traveling east and 189 cars traveling west.

We know percentage change we'll divide the net amount change by the original amount and multiply it by 100%.

From this concept, the percentage of the cars were traveling east would be

The cars traveling east divided by the total numbers of cars time s100%.

= (189/486 + 189)×100%.

= (189/675)×100%.

= 0.28×100%.

= 28%.

So, 28% of the total cars traveling east.

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Please Help!! Offering 8 points to each answerer and a Brainliest! Please answer the following parts of this question.

(02.05 HC)

The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x):

Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (2 points)

Part B: Solve for k in each type of transformation. (4 points)

Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (4 points)

Answers

Answer:

Part A: Two types of transformations: translation and reflection.

Part B: g(x)=f(x)+k

-1= -1+ k

k= -1+1=0

g(x)=f(x)+k

-1= 5+k

k= -1-5=-6

g(x)=f(x)+k

14= 14+k

k= 0

k= -6,0,-6,0

Part C: For horizontal translation, g(x)=f(x+2)

In case of vertical translation, g(x)=f(x)+10

Therefore, the equation of transformation can be written as g(x)=f(x+2)+10.

Step-by-step explanation:

I thought. :') Ever since yesterday, and today. Hope this helps!

How do you solve 9x 7 =- 7?

Answers

The value of x is 0

Now, According to the question:

Let's know:

How to find the value of 'x'

Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.

The given equation is:

9x - 7 = -7

To solve the value of 'x'

9x - 7 = -7

Add 7 on both sides:

9x - 7 + 7 = -7 + 7

9x = 0

x = 0/9

x = 0

Hence, The value of x = 0

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The complete question is this:

How do you solve 9x - 7 = -7

50% of 188 is equal to what number?

Answers

Answer:

Step-by-step explanation:

a.50%=[tex]\frac{1}{2}[/tex]

b.so 50% of 188 means 188·[tex]\frac{1}{2}[/tex]=94

answer is 94

The correct answer would be 94 because 1% of 188 is 1.88 so you would just multiply that by 50.

15 points !!!!! Given: x - y = 11.
If x = -17, what is y?
Please put your answer in the format “y=____”

Answers

Answer:

y=-28

Step-by-step explanation:

-17-y=11

-y=11+17

-y=28

y=-28

Your family travels from Bazooka, Iowa, to Dentyne, Missouri, a distance of 348 miles. Your car averages 14.5 miles per gallon on open road driving. If you filled your vehicle at a station where regular gasoline cost $1.83 per gallon, how much would the

Answers

Consequently, it would take polynomials roughly 690,64 years for the disintegrations to disappear.

what are polynomials?

A polynomial is a mathematical statement made up of coefficients and uncertainty that exclusively uses additions, subtractions, multiplications, and positive integer powers of variables. A single indeterminate x polynomial is represented by the expression x2 4x + 7. A polynomial is an expression in mathematics that consists of variables (sometimes referred to as indeterminates) and coefficients that may be added, subtracted, multiplied, and raised to negative integer powers of non-variables. A polynomial is an algebraic expression made up of coefficients and variables. The only operations that an expression can contain are addition, subtraction, multiplication, and non-negative integer exponents. These expressions are known as polynomials.

The formula for this is Activity = decay constant x atoms.

1238 = 2.64 x 1010 times the decay constant

decay constant is equal to 4.76 x 10-8 min-1.

Currently, the disintegrations are being slowed to 809 disintegrations per minute.

Ln(809) = Ln(2.64 x 1010) - Ln(4.76 x 10-8 x t)

t=3.63x108min = 690.64y

Consequently, it would take roughly 690,64 years for the disintegrations to disappear.

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Triangles a and b are right angled. show that the two shorter sides in triangle a have the same length as the two shorter sides in triangle B
i got 2/4 of the marks pls help

Answers

Answer:

Step-by-step explanation:

Two right-angled triangles are said to be congruent to each other if the hypotenuse and one side of the right triangle are equal to the hypotenuse and the corresponding side of the other right-angled

if 12 men complete a piece of work in 10 days in how many days would 15 men complete the same work​

Answers

12 men = (1/10) work per day

15 men = (1/8) work per day

So 8 days

Step-by-step explanation:

number of men =12

time taken = 10 days

time taken to complete the work by 15 men = 12÷10=1.2

= 1.2 ×15 = 18

therefore, 18 days is taken to complete the work by 15 men

Solve for the indicated values.
For both

Answers

Answer:

CH = 22°

Step-by-step explanation:

We know that Arc AC and Arc CH both equal to 180°, therefore we can say;

AC + CH = 180°

158 + CH = 180°

CH = 180 - 158

CH = 22°

Hope this helps!

Let X_0, Y and Z be integers greater than 0. Let A_n be the product of the unique prime factors of X_n. What condition is needed to be met for the equation X_(n+1) = YA_n + Z to have X_p = X_q, where p =/= q?

Answers

On solving the provided question we can say that - the prime factors of 32 are 2 × 2 x 2 x 2 x 2 and of 64 are - 2 x 2 × 2 x 2 x 2 x 2

what is prime factor?

Any natural number other than 1 with just itself and the number 1 as its divisors is considered a prime factor. Actually, 2, 3, 5, 7, 11, and so on are some of the first prime numbers. an amount that has been multiplied to produce another amount. By dividing 15 by 3 and 5, for instance, we get 3 5 = 15. main elements: Prime factors include all factors that are prime but are not composite. A few prime factors of 30 are 2, 3, and 5. Only 2 and 3 are prime factors of 12, so listing 2 twice as 2 2 3 (or 22 3) is necessary to factorize 12. The sum of 2 + 3 is not 12.

the prime factors of

32 are 2 × 2 x 2 x 2 x 2

64 are - 2 x 2 × 2 x 2 x 2 x 2

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Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.

Answers

The answer is 3(x-6)(x+5) no problem

Answer:

3(x+5)x(x-6)

Just fyi download photo math and it literally answers the question for you so you dont waste any more points

Step-by-step explanation:

NO LINKS

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 9 feet and a height of 10 feet. Container B has a radius of 5 feet and a height of 20 feet. Container A is full of water and the water is pumped into Container B until Containter B is completely full.

To the nearest tenth, what is the percent of Container A that is empty after the pumping is complete?

Answers

Answer:

61.74%

Step-by-step explanation

Find the vol of container one: Volume = Pi(r^2)(height) = 3.14159*81*10 = 2544.69 cu.ft.

Find the vol of container two: Pi(r^2)(height) = 1570.79 cu.ft.

Now the % of container A that is empty is

(1 - ((Volume A - Volume B)/Volume A))*100% = 61.73%

The spray from a spinning lawn sprinkler creates a circle with a radius of 50 feet.

What is the area of the circle covered by the lawn sprinkler, in square feet?

A= 2500
B= 100
C= 625
D= 50

Answers

A because it can’t be 100 and it can’t be 625 and it can’t be 50 so it has to be A

Which is the best estimate for the average rate of change for the quadratic function graph on the interval 1 ≤ x ≤ 3?

Answers

Answer:

I think it's either 1/2 or 1/3.

I really need an answer for this FAST so if anybody can answer id really appreciate it :)

Answers

both Square and Rectangle


because all squares are rectangles, but not all rectangles are squares. Hope this helps. :)

If AT = 12 and KN = 18, find OB.​

Answers

Answer:

15

Step-by-step explanation:

There is a formula for this it is,

B1+B2/2

B1= Base one or TA in this case

B2= Base two or NK in this case

You replace the values with the variable:

B1=12

B2=18

12+18/2 = 30/2= 15

OB=15

The midsegment of the trapezium OB is 15

Mid segment of a trapezium:

The midsegment of a trapezoid is parallel to each base, and its length is one-half the sum of the lengths of the bases.

OB = mid segment

Therefore, mathematically,

OB = 1 / 2 (AT + KN)

where

AT = 12

KN = 18

Therefore,

OB = 1 / 2(12 + 18)

OB = 30 / 2

OB = 15

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QUESTION 1 OF 10
If √62-9 =z, what is the value of ?

Answers

The required value of z is "i√6" to the given expression√(6/2 - 9) = z.

What is a complex number?

A complex number is a combination of real values and imaginary values. It is denoted by z = a + ib, where a, and b are real numbers and i is an imaginary number.

The expression is given in the question, as follows:

√(6/2 - 9) = z

We have to determine the value of z to the given expression.

As per the question, we have

⇒ √(6/2 - 9) = z

⇒ √(3 - 9) = z

⇒ √(- 6) = z

⇒ √(6 × -1 ) = z

⇒ (√6 × √-1 ) = z    [∵ imaginary number i = √-1 ]

⇒ (√6 × i ) = z

⇒ z = i√6

Therefore, the required value of z is "i√6" to the given expression.

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Han has to build the figure below, which will serve as a counterweight, for his robotics project. Find the VOLUME of the finished object assuming it is empty inside.

Answers

Given:

A figure of a robotics project.

To find:

The volume of the finished object assuming it is empty inside.

Solution:

The given figure contains a triangular prism and a cuboid.

The dimensions of the cuboid are 6 cm, 8 cm and 5 cm. So, the volume of the cuboid is:

[tex]V_1=length\times width\times height[/tex]

[tex]V_1=6\times 8\times 5[/tex]

[tex]V_1=240[/tex]

So, the volume of the cuboid is 240 cubic cm.

The area of a triangle is:

[tex]Area=\dfrac{1}{2}\times base\times height[/tex]

So, the area of the base of the triangular prism whose base is 8 cm and height 4 cm, is:

[tex]B=\dfrac{1}{2}\times 8\times 4[/tex]

[tex]B=16[/tex]

The volume of a triangular prism is:

[tex]V_2=Bh[/tex]

Where, B is the base area and h is the height of the prism.

The base area of the triangular prism is 16 square cm and the height is 5 cm. So, the volume of a triangular prism is:

[tex]V_2=16(5)[/tex]

[tex]V_2=80[/tex]

Now, the volume of the given figure is:

[tex]V=V_1+V_2[/tex]

[tex]V=240+80[/tex]

[tex]V=320[/tex]

Therefore, the volume of the finished object is 320 cubic cm.

help me plssss hurry

Answers

Answer:

1. 1

2. m<1

3. h=8

4. h>8

Step-by-step explanation:

hope that helps!!:)

Answer:

1. m=1

2. m=0, 1

3. h=8

4. h=11, 17

Step-by-step explanation:

The variables stand for numbers. Replace the variables with any of the given numbers to make the equation or inequality true.

1. 1+5=6, so m=1

2. 0+5=5. 5<6. 1+5=6. 6=6. The symbol ≤ is "less than or equal to", so m=0 or m=1.

3. 5*8=40. h=8.

4. 5*11=55. 55>40. 5*17=85. 85>40. h=55 or h=85.

what is the answer??????????????

Answers

Answer:

2x = 10y, 0x=8y, 4x=12y

Step-by-step explanation:

So, lets go over what we know.

Y=x+8

We need to figure out what y is for x equals:

2

0

4

So, lets plug in these number:

Lets start with 2:

y=2+8

=

y=10

So the first y value is 10.

Next we have:

y=0

y=0+8

=

y=8

So the second y value is 8.

Next we have:

y=4

y=4+8

=

y=12

So the last y value is 12.

Hope this helps! :D

1/5t + 2 - 2 = 17 - 2

Answers

Answer:

[tex]t=75[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{5} t+2-2=17-2[/tex]

Lets solve for [tex]t[/tex].

Subtract 2 from 2.

[tex]\frac{1}{5} t=17-2[/tex]

Subtract 2 from 17.

[tex]\frac{1}{5} t=15[/tex]

Combine [tex]\frac{1}{5}[/tex] and [tex]t[/tex].

[tex]\frac{t}{5} =15[/tex]

Multiply both sides of the equation by 5.

[tex]\frac{t}{5}*5 =15*5[/tex]

[tex]t=75[/tex]

Can somebody help please .

Answers

Answer:

easy just think thoroughly

Step-by-step explanation:

1 is A

2 is C

3 is B

4 is D

What is the growth factor associated with the following growth rate: 30% decrease Your answer should be typed as a decimal.​

Answers

-0.30 i’m pretty sure???

I'm not sure about this question. Could anyone help? Geometry.

Answers

Answer: length of EF is 18 units.

Step-by-step explanation:

similar triangles (as displayed in the photo) have the same angle measures, but can have different side lengths. however, these side lengths are proportional to each other, meaning that with similar triangles, there will ALWAYS be a number you can multiply the first triangle by to get its similar triangle.

you can find this number by dividing one side length of whichever triangle is bigger with its corresponding side on the other triangle (for example, sides DF and AC correspond, so you'd divide whichever value's bigger by the smaller one. in this case you'd divide 21 by 14.) this gives you 1.5, which tells you that triangle DEF is 1.5 times larger than triangle ABC. so to get EF, just multiply BC (which is 12) by 1.5. this gives you 18. so, EF equals 18. hope this helped :3

Which equation could be used to find the length of the missing side of
the right triangle?
22 cm
7 cm
bcm

Answers

Step-by-step explanation:

use Pythagoras theorem

[tex]b = \sqrt{h ^{2} - p ^{2} } [/tex]

Which segment(s) are perpendicular to overline AB ? B A. Segment CE only B. Segment CD and segment CE C. Segments CD , CE , and CF

Answers

Answer:

A letter A

Step-by-step explanation:

Segment CE only

mypoints!

The perpendicular line AB is segment CE only. The correct option is A.

What is trigonometry?

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.

Two geometric objects are perpendicular in simple geometry if they intersect at a right angle. If two lines cross at a right angle, they are said to be perpendicular to one another.

The line CE is making an angle of 90 degrees with the line AB, then the line CE will be perpendicular to the line AB.

Therefore, the perpendicular line AB is segment CE only. The correct option is A.

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The 19th and 15th term of an AP are -5 and -7 1/2 repectively. What i the um of the firt 20 term

Answers

The sum of first 20 terms of the AP will be -206.25

As in AP, let us assume that the "a" be the first term and 'd' be the common difference.

So, the value of nth term can be determined by using formula: a_n=a+(n-1)d, where, n = number of terms, and d = common difference.

So, the value of 19th terms = a+(19-1)d = a+18d = -5 -----(i)

And the value of 15th term = a+(15-1)d = a+14d = -7(1/2) ----(ii)

Now subtracting (ii) from (i),

We will get,

4d = 2(1/2)

=>4d = 2.5

=>d = (2.5/4) = 0.625

Now putting value of "d" in (i)

We will get,

a+(18*0.625) = -5

a=-5-11.25 = -16.25

We have, the formula for finding the sum of terms:

Sum of terms can be determined by using formula:

Sum = (n/2) × [2a + (n-1)d]

Here, n = 20, a = -16.25, d = 0.625

We will get sum of first 20 terms as:

[tex](n/2)\times [2a + (n-1)d]\\(20/2) \times [2 \times -16.25+(20-1)0.625]\\[/tex]

10[-32.5+11.875]

=10(-20.625) =-206.25

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