v(x)=x^2-25
————-
2x^2+13x+15

Describe the domain in complete sentences.

Write the domain in inequality notation.

Answers

Answer 1

Answer:

  -∞ < x < -5 ∪ -5 < x < -3/2 ∪ -3/2 < x < ∞

Step-by-step explanation:

The domain of any polynomial is "all real numbers." The domain of any rational function excludes any values of the variable that result in the denominator being 0. The function is "undefined" there.

__

  [tex]v(x)=\dfrac{x^2-25}{2x^2+13x+15}=\dfrac{(x+5)(x-5)}{(x+5)(2x+3)}\qquad x\notin \{-5,-\dfrac{3}{2}\}[/tex]

The values x=-5 and x=-3/2 make the denominator of v(x) become 0, so those values are excluded from the domain of v(x). The function is "undefined" when its denominator is zero.

  -∞ < x < -5 ∪ -5 < x < -3/2 ∪ -3/2 < x < ∞

_____

Additional comment

The numerator and denominator factors (x+5) cancel each other, so there is no vertical asymptote at x=-5. Rather, the function has a "hole" there, where it is undefined. The limit as the function approaches x=-5 from either direction is v(x) = 10/7.

V(x)=x^2-25 - 2x^2+13x+15Describe The Domain In Complete Sentences.Write The Domain In Inequality Notation.

Related Questions

ANOTHER 1 HELP ME OUTT

Answers

Answer:

the last one

Step-by-step explanation:

(clustered around 1 and 3)

Answer:

The data are clustered from 1 to 3, so most teams won 1 to 3 games.

Step-by-step explanation:

There is only 1 dot at 8 and more near 1-3

An automotive website would like to estimate the percentage of drivers who own their cars, rather than lease their cars. Which of these survey methods would not provide a convenience sample to estimate the percentage who own their cars?

a survey of adults at an auto parts store
a survey of all adults attending a car show
a survey of people in a car dealership
an online survey for sharing data about their cars

Answers

The answer to your question is the last option. “An online survey for sharing data about their cars”. Have a great day

A survey of all adults attending a car show would not provide a convenience sample to estimate the percentage of drivers who own their cars, rather than lease their cars.

What is a survey?

A survey is a research method used to gather information from a sample of individuals about their opinions, behaviors, experiences, or demographic characteristics.

This is because a car show attracts a diverse group of people, including car enthusiasts, potential car buyers, and families looking for entertainment.

Therefore, a survey of all adults attending a car show would provide a more representative sample of the population, compared to the other options listed, which are more likely to provide a convenience sample.

A survey of adults at an auto parts store, a survey of people in a car dealership, and an online survey for sharing data about their cars are more likely to provide a convenience sample because they are only capturing the opinions of people who happen to be present at a particular place or who choose to participate in an online survey.

To know more about the survey follow

https://brainly.com/question/18273502

#SPJ7

Question 5 of 10
Factor the polynomial: x(3x + 5) - 4(3x + 5)
A. -4x(3x + 5)
B. (3x + 5)(x + 4)
C. 4x(3x + 5)
D. (3x + 5)(x-4)

HURRY PLEASE

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

Take (3x + 5) common in there :

[tex]\qquad \tt \dashrightarrow \:x(3x + 5) - 4(3x + 5)[/tex]

[tex]\qquad \tt \dashrightarrow (3x + 5) (x - 4)[/tex]

So, choice D is correct

Solve the system of equations.
5x−4y=−10
y=2x−5

Answers

Answer:

x = 10

y = 15

Step-by-step explanation:

5x − 4y = −10  ⇒  ( 1 )

y = 2x − 5     ⇒ ( 2 )

Let us find the value of x.

For that, we can replace y with ( 2x - 5 ).

Let us take equation 1.

5x − 4y = −10

5x - 4 (  2x − 5 ) = -10

5x - 8x + 20 = -10

-3x = -20 - 10

-3x = - 30

Divide both sides by ( -3 ).

x = 10

And now let us find the value of y.

Let us take equation 2.

y = 2x − 5

y = 2 × 10 - 5

y = 20 - 5

y = 15

Answer:

X=10

Step-by-step explanation:

5x-4y=-10.....1

y=2x-5......2

sub 2 into 1

5x-4(2x-5)=-10

5x-8x+20=-10

5x-8x=-10-20

-3x=-30

x=10

sub x=10 into 2

y=2(10)-5

y=20-5

y=15

Two number cubes whose sides are numbered 1 through 6 are rolled on a table. The two numbers showing are added. If you repeat this process 300 times, how many times would you expect the two cubes to add to exactly 7? ASAP​

Answers

Answer:

50 times.

Step-by-step explanation:

When the 2 number cubes are rolled once:

The possible outcomes for a total of 7 are:

1 and 6

6 and 1

2 and 5

5 and 2

3 and 4

4 and 3

= 6 outcomes.

The total of all possible outcomes = 6 * 6 = 36.

So Prob( total of 7 in one throw of teh 2 cubes) =  6/36 = 1/6.

For 300 throws you would expect the total of 7 to occur

1/6 * 300 = 50.

Answer:

Step-by-step explanation:

50 IS THE ANSWEr

At an intersection in Normal, Illinois, there were 90 vehicle accidents with 168,199 vehicles passing through the intersection. Determine the accident rate per 1000 vehicles.

Answers

You can calculate this by dividing 90 by 168199. That is the accident rate per vehicle. Then you can multiply it by thousand and you got the accident rate per 1000 vehicles. So that will be 0,53

What is the vertex for this function?
y=2x^2−12x+16

(-2, 12)

(-2, 3)

(-12, 36)

(3, -2)

Answers

Answer:

Step-by-step explanation:

hello :

y=2x²−12x+16

y = 2(x²-6x+9-9)+16

y = 2(x-3)²-18+16

y = 2(x-3)²-2.....vertex -form when the vertex is : (3, -2)

Can someone help me do these i don't understand them?

Answers

Answer:

they are extension in computer

Solve for an angle in right triangles. Round answer to the nearest hundredth

Answers

Answer:

A = 44.42°

Step-by-step explanation:

SohCohToa

Soh = sin(theta)= opp/hyp

Coh = cos(theta)= adj/hyp

Toa = tan(theta)= opp/adj

Coh = cos(theta)= adj/hyp

cos(A)= adj/hyp

cos(A)= 5/7

A = cos^-1(5/7)

A ≈ 44.4153086

A = 44.42°

help i need help i mark branliest

Answers

Answer:

48°

Step-by-step explanation:

Vertically opposite angles are equal. Angle 7 is vertically opposite to angle 5.

Answer:

The measure of angle 7 is 48 degrees

Step-by-step explanation:

Angle 5 and 7 are opposite angles. Opposite angles are congruent.

a bank offers a savings account with a yearly simple interest rate of 2 percent. suppose you deposit 550 into savings account. how much simple interest will you earn in 4 years? in 4 years and 6 months.


I WILL GIVE YOU 30 IF YOU JUST HELP ME PLEASE?

Answers

Answer:

In 4 years you will get 44 and in 4 years and 6 months you will get 49.5

Step-by-step explanation:

550*0.02= 11 (yearly interest)

11*4 years= 44

11/12months=0.917

0.917*6 months= 5.5

44+5.5=49.5 (4 years and 6 months interest)

Expand the logarithmic expression log3(2xy3z5). Question 9 options: A) 2(log3x + 3log3y + 5log3z) B) log32x + log3y3 + log3z5 C) log32 + log3x + 3log3y − 5log3z D) log32 + log3x + 3log3y + 5log3z

Answers

Answer: D

Step-by-step explanation:

[tex]\log _{3}\left(2 x y^{3} z^{5}\right) \\ =\log _{3} 2+\log _{3} x+\log _{3} y^{3}+\log _{3} z^{5}[/tex]

[tex]\left(\because \log _{c}(a \cdot b)=\log _{c} a+\log _{c} b\right)[/tex]

[tex]=\log _{3} 2+\log _{3} x+3 \log _{3} y+5 \log _{3}z \rightarrow \left(\because \log _{c} a^{b}=b \log _{c} a\right)[/tex]

Therefore, Option D is the correct answer

compute the probability of tossing a six-sided die and getting a number less than 3

Answers

Answer:

We can think of our denominator as 6 in our probability, because there are 6 total sides to this die.

Out of those 6 sides, they want to find out if we can roll a number less than 3.

First, let's find how many numbers there are on this die that are less than 3.

1 and 2, so there are 2 sides that contain numbers less than 3 on this die.

So there is a 2 out of 6 chance(2/6) which can be simplified to 1/3, of selecting a number less than 3 when rolling a die.

1/3 probability.

Convert this into a percent if you'd want:-

1/3 · 100

= 33.333... which can be rounded to a 33% probability.

10
10
U
U
g(x)
f(x)
8
10
-2
10-8
2
-108
--2
2
4
-8
- 10
If g(x) = f(x + k), what is the value of k?

Answers

Answer: -6

Step-by-step explanation:

The graph of g is the graph of f translated left 6 units.

Help my 9 year old sister please

Answers

He got that because he multiplied 28 by 7

Answer:

He multiplied 28 by 7 instead of dividing it.

28 times 7 equals 196.

Step-by-step explanation:

I hope this helps! Have a lovely day!!! :)

The Diameter of the medal is 6cm , thickness is 0,035cm determine the radius of the medal​

Answers

Radius is half the diameter. The thickness is not used in finding this answer.

6*0.5=3

Radius is 3cm

Samir also picks pumpkins from his garden. He picked 6 7/10 kg, but 2.6 of pumpkins were spoiled and could not be used for decoration. How many kilograms of pumpkins were not spoiled? Write an equation that shows how you reached your answer.

Answers

Answer:

6.7kg - 2.6kg = 4.1kg

Step-by-step explanation:

6 7/10 is equal to 6.7. If we have 6.7kg of pumpkins, but we can't use 2.6kg, then we subtract to find the amount that we can use.

this is k 12 help,
please!!! for (100 points)

Answers

Answer:

14 m²

area of sqaure pyramid: a² + 2(a)(l)

a = side of the base l = slant height

area:

(2)² + 2(2)(2.5)14 m²

A drug prescription of 45 pills costs $427. 95. If each pill contains 3 mg of medication, what is the cost per milligrams?

Answers

Total milligrams

45(3)135mg

COST PER MG:-

TOTAL COST/total Mg427.95/1353.17$/pills

Answer:

$3.17

Step-by-step explanation:

1 pill = 3 mg

⇒ 45 pills = 45 × 3 = 135 mg

45 pills = $427.95

⇒ 135 mg = $427.95

⇒ 1 mg = $427.95 ÷ 135 = $3.17

find the possible value of x​

Answers

[tex]\underline{ \mathbb{SOLUTION:}}[/tex]

Given:

Figure

To find:

Possible values of x

Solving:

Using triangle inequality theorem.

[tex] \large \tt x \: <9 + 6 \: \: \: \: \: \implies \: x \: <15[/tex]

Range = difference < x < Sum

[tex]\large \tt \implies9 - 6 < x \: <9 + 6[/tex]

[tex]\large \tt \implies3 < x < 15[/tex]

_____________________________________

Find the quotient and the remainder of
64−133+32+3−12
-------------------------------
−2

Answers

Answer:

Below

Step-by-step explanation:

64-133+32+3-12= -46

-46/2= -23

There is no remainder

in a deck of 52 how many card combinations are greater then 16?

Answers

need pic pls so I can answer your questions

PLS help me with this picture​

Answers

Answer:

Collinear points: points that lie on the same straight line or in a single line

Coplanar points:  three or more points which lie in the same plane

12. Point collinear with points E and G = C. Point Y

13. Point coplanar with points A, D and H = A. Point E

14. Point coplanar with points A, C and G = A. Point E

15. Point collinear with points B and D = B. Point X

[tex] \green{ - - - - - - - - - - - - - - - - - - }[/tex]

•— ANSWER12. Point collinear with points E and G = C. Point Y13. Point coplanar with points A, D and H = A. Point E14. Point coplanar with points A, C and G = A. Point E15. Point collinear with points B and D = B. Point X•— EXPLANATION

Collinear points Collinear points are points that lie on the same line.

Coplanar points Any three points in space that lie on the same plane are called coplanar points.

[tex]\green{ - - - - - - - - - - - - - - - - - - }[/tex]

(17a ^ 3 * b ^ 2)/(15b ^ 3 * c ^ 2) * (18b ^ 4 * c ^ 3)/(8a ^ 2 * b * c ^ 2) =

Answers

Answer: (51ab^2)/(20c)

STEP

1

:

Equation at the end of step 1

 ((17•(a3))•(b2)) ((18•(b4))•(c3))

 ————————————————•————————————————

 ((15•(b3))•(c2))  ((23a2•b)•c2)  

STEP

2

:

Equation at the end of step

2

:

 ((17•(a3))•(b2)) ((2•32b4)•c3)

 ————————————————•—————————————

 ((15•(b3))•(c2))    23a2bc2  

STEP

3

:

           (2•32b4c3)

Simplify   ——————————

            23a2bc2  

Dividing exponential expressions :

3.1    b4 divided by b1 = b(4 - 1) = b3

Dividing exponential expressions :

3.2    c3 divided by c2 = c(3 - 2) = c1 = c

Dividing exponents:

3.3    21   divided by   23   = 2(1 - 3) = 2(-2) = 1/22

Equation at the end of step

3

:

 ((17•(a3))•(b2)) 9b3c

 ————————————————•————

 ((15•(b3))•(c2)) 4a2

STEP

4

:

Equation at the end of step

4

:

 ((17•(a3))•(b2)) 9b3c

 ————————————————•————

   ((3•5b3)•c2)   4a2

STEP

5

:

Equation at the end of step

5

:

 (17a3 • b2)   9b3c

 ——————————— • ————

  (3•5b3c2)    4a2

STEP

6

:

             17a3b2

Simplify   —————————

           (3•5b3c2)

Dividing exponential expressions :

6.1    b2 divided by b3 = b(2 - 3) = b(-1) = 1/b1 = 1/b

Equation at the end of step

6

:

  17a3   9b3c

 ————— • ————

 15bc2   4a2

STEP

7

:

Dividing exponential expressions :

7.1    a3 divided by a2 = a(3 - 2) = a1 = a

Dividing exponential expressions :

7.2    b3 divided by b1 = b(3 - 1) = b2

Dividing exponential expressions :

7.3    c1 divided by c2 = c(1 - 2) = c(-1) = 1/c1 = 1/c

Final result :

 51ab2

 —————

  20c

a picture on the walls jeremy's classroom has 4 right angles,4 sides of equal length,and 2 pairs of opposite sides that are parallel. what quadrilateral best describes the picture

Answers

Answer:

  square

Step-by-step explanation:

A quadrilateral with four right angles will be a rectangle. A rectangle with sides of equal length is a square.

Jeremy's picture is a square.

For which values of x is the expression undefined x-8/x-5

Answers

Answer:

x = 5

Step-by-step explanation:

Any number over 0 is undefined. Given that, the values of x that make this expression undefined make the denominator equal to 0

x - 5 = 0

x = 5

I hope this helps!

Consider this graph of a standard normal curve.





What percentage of data is represented by the shaded area?

Enter your answer as a number, like this: 42%

Answers

34% since it falls between -1 to 1 which is the 68 percentile. Therefore 68/2 = 34%

At a concession stand, seven hot dog(s) and four hamburger(s) cost $21:25, four hot dog(s) and seven hamburger(s) cost $22.75 Find the cost of one hot dog and the cost of one hamburger

Answers

Step-by-step explanation:

If 4 hamburger = $21.25

1 hamburger = x

Cross multiply

4 x x = $21.25 x 1

4x = $21.25

Devide both side with the coefficient of x

4x/4 = $21.25/4

X = $5.3125

Therefore 1 hamburger cost $5.31

If 4 hotdogs = $22.75

1 hotdog = y

Cross multiply

4 x y = $22.75 x 1

4y = $22.75

Devide both sides with the coefficient of y

4y/4 = $22.75/4

Y = $5.6875

Therefore one hotdog cost $5.69

Answer:

See below ↓↓↓

Step-by-step explanation:

Given :

7 hot dogs + 4 hamburgers = $21.504 hot dogs + 7 hamburgers = $22.75

Let's set some variables.

hot dogs = xhamburgers = y

So, our equations are :

7x + 4y = 21.504x + 7y = 22.75

Mulitply equation #1 by 7 and equation #2 by 4.

49x + 28y = 150.50 (Equation 3)16x + 28y = 91.00 (Equation 4)

Subtract equation 4 from equation 3.

49x - 16x + 28y - 28y = 150.5 - 9125x = 59.5x = $2.38 [cost of one hot dog]

Substitute value of x in equation 4.

16(2.38) + 28y = 9138.08 + 28y = 9128y = 52.92y = $1.89 [cost of one hamburger]

PLS HELP NO LINKS!!!!!!!! 30 POINTS

Answers

Answer:

I'm sure it's the second one

Answer:

second answer is correct

Help me please :(( ......

Answers

Answer:

1. Last years middle school and highschool softball teams.

2. I can't see the last option

3. Every girl at the local middle school.

4. A group of students at a college.

5. Survey the students selected blindly put of a box containing every students names.

Step-by-step explanation:

I hope these are correct. comment the last option for #2.

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