Find the domain of the following function:

y = x^3 − 8
________
x^2 + 5x + 6

Select the appropriate response:

A) domain: x cannot equal −3, −2

B) domain: x equals −3, −2


C) None of the above

Help please! 40 points!

Answer:

1/6

Step-by-step explanation:

[tex]\frac{5}{4} x\frac{2}{15}[/tex] multiply the top number and the bottom to get [tex]\frac{10}{60} = \frac{1}{6}[/tex]

Answer:

237 centimeters

Step-by-step explanation:

A foot = 30 centimeters

We know 1 meter or 1m is equivalent to around 3 feet. The exact measurement of a meter is 3.28 feet. So 1m = 100 centimeters because one foot equals 30 centimeters. .28 of a foot is 10 cm.

2 meter = 200 cm

.37 = 37 centimeters because each 0.01 in a meter = 1 cm. And there are 100 cm in a meter so we can accurately say 2.37 meters are 237 cm.

P.S

Have an Amazing Day! I Hope This Helps and Good Luck!

-Faker/Tosrel

Answer:

a = 13

Step-by-step explanation:

The three angles of any triangle MUST add up to 180°.  Thus, 3a + 8a + 37 = 180, and 11a = 180 - 37 = 143.

If 11a = 143, then a = 143/11 = 13

a = 13

Answer:

a = 13

Step-by-step explanation:

8a + 3a + 37° = 180°

11a + 37° = 180°

11a = 180° - 37°

11a = 143°

a = 143/11

a = 13

Answer:

Hawkins's Store = 60 ounces for 6.50

Don's Store = 54 ounces for 5.50

Allen's Market = 48 ounces for 5.61

Value Market = 40 ounces for 4.50

6.50/60=.10833333

5.50/54=.10185       smallest decimal

5.61/48 = .116875

4.50/40=.1125

Step-by-step explanation:

the answer is Don's Store

hope this helps(:

The store Don's has the lowest price per ounce is $0.10.

Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.

Here,

In Hawkin's Store:

The cost of 1 ounce is 6.50/60

= $0.11

In Don's Store:

The cost of 1 ounce is 5.50/54

= $0.10

In Allen's Market

The cost of 1 ounce is 5.61/48

= $0.12

In Value Market:

The cost of 1 ounce is 4.50/40

= $0.1125

Therefore, the store Don's has the lowest price per ounce is $0.10.

To learn more about the unit rate visit:

https://brainly.com/question/11258929.

#SPJ2

Answer:

1/2 bh

Step-by-step explanation:

Multiply the base by the height then multiply by 1/2, or divide by 2

Answer:

A=hbb

2            

Step-by-step explanation:

Answer: The correct answer is option B: There are between 15 and 20 green pieces in all 5 packages

Step-by-step explanation: The most important factor has been given which is, "Which statement about the candy pieces in the remaining packages is best supported by this information."

The information given is such that, the first package she opened had 4 green pieces and on this basis we can safely assume that all other packages have 4 green pieces as well. The second package had 3 green pieces and this based on this too we can safely assume that all other packages had 3 green pieces. Hence, all 5 packages can either have a total of 4 x 5 green candies which equals a total of 20 green pieces or, all 5 packages can have a total of 3 x 5 green candies which equals a total of 15 green pieces.

So according to Suzi's experiment, there are between 15 and 20 green pieces in all 5 packages.

Answer:

Step-by-step explanation:

the second option

Answer:

The speed of 65 ​mph is an outlier in the distribution of the​ player's serve​ speeds

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 100 mph

Standard Deviation, σ = 10 mph

Formula:

[tex]z_{score} = \displaystyle\frac{x-\mu}{\sigma}[/tex]

Outlier on basis of z-score:

Calculation of z-score:

[tex]x = 65\Rightarrow z = \dfrac{65-100}{10} = -3.5\\\\x = 110\Rightarrow z = \dfrac{110-100}{10} = 1\\\\x = 120\Rightarrow z = \dfrac{120-100}{10} = 2[/tex]

Thus, the speed of 65 ​mph is an outlier in the distribution of the​ player's serve​ speeds as the corresponding z-score is less than -3.

Answer:

Other numerator.

Answer:

multipy the numerator by the other numerator

Narancia out~!

Answer: Option 'B' and 'D' are correct.

Step-by-step explanation:

Since we have given that

Let the age of Lilian be 'x'

Let the age of Kylie be 'x+3'.

Let the age of Joan be 'x+3-2=x+1'.

So, According to question, we get :

Total sum of all three birthday celebrants today would be

[tex]x+x+3+x+1=3x+4[/tex]

If we put 52, we get that

[tex]3x+4=52\\\\3x=52-4\\\\3x=48\\\\x=\dfrac{48}{3}=16[/tex]

If we put 55, we get that

[tex]3x+4=55\\\\3x=55-4\\\\3x=51\\\\x=\dfrac{51}{3}\\\\x=17[/tex]

Hence, Option 'B' and 'D' are correct.

Using algebra, we express each person's age in variables, create a relationship between them, and find that the only option that can represent their combined age as a sum of 3L + 4 is 52. Therefore, option B is the correct answer.

To solve this problem, we can begin by assigning variables to each person's age and then creating equations based on the information provided. Let's let the variable L represent Lillian's age, K represent Kylie's age, and J represent Joan's age.

From the problem, we know that:

Joan is 2 years younger than Kylie: J = K - 2

Kylie is 3 years older than Lillian: K = L + 3

Now, using the second equation, we can express Joan's age in terms of Lillian's:

Substitute the value of K from the second equation into the first: J = (L + 3) - 2

This simplifies to: J = L + 1

Now we can express the combined age of Joan, Kylie, and Lillian:

Combined age: J + K + L

Substitute J and K with the expressions in terms of L: (L + 1) + (L + 3) + L

Add them: 3L + 4

Now, we have to check which option is divisible by 3 when 4 is subtracted from it because the combined age should be in the form 3L + 4. Among the options given:

A. 51 - 4 = 47 (Not divisible by 3)

B. 52 - 4 = 48 (Divisible by 3)

C. 53 - 4 = 49 (Not divisible by 3)

D. 54 - 4 = 50 (Not divisible by 3)

E. 55 - 4 = 51 (Not divisible by 3)

The correct answer is option B, which makes the combined age of Joan, Kylie, and Lillian equal to 52 years.

Graph the integer 6 and its opposite

Plot -6 and 6 <- the opposite of 6 is -6

Graph the integer 0 and its opposite on the number line

0 and 0 <- The opposite of 0 is itself as it has no negative value

Step-by-step explanation:

Graph the integers between 2 and 6 on a number line

We have to find the percent of change :

50 pounds to 35 pounds

Original amount = 50 pound

New amount= 35 pounds

Since, New amount is less than the original amount,

this is a percentage of decrease.

Change in amount =35 -50  = -15 pound

percentage change= change of amount/original amount x 100

substitute the given values we have:

percentage change= -15/50 x 100

simplify:

percentage change= -30%

Therefore the decrease is 30%

Brainliest????

Answer:

[tex]Q(t) =[/tex] [tex]100(2)^t[/tex]

Step-by-step explanation:

please see the attached files for more details

Answer: $43.28

Step-by-step explanation: To find the sales tax, first convert 8.25% to a decimal. 8.25% as a decimal is 0.0825.

Now simply multiply 0.0825 x 39.98 which equals about 3.30

So, the total sales tax is $3.30

Now add $3.30 to $39.98 which equals a total cost of $43.28

each person has about 19 each

all you have to do is 49-2=38

38 divided by 2 = 19

Horatio has 30 video games and Preston has 19

Set up an equation:

x = Games horatio has

Since theres two people we will give x the coefficient of 2

You get 11 from how much more horatio has

49 is the total

The Equation

49 = 2x + 11

Solve

49 = 2x + 11

-11        - 11

38 = 2x

19 = x

Preston has 19 video games and since horatio has 11 more horatio has 30 video games

Answer:

The initial temperature was To = -14 degrees

Step-by-step explanation:

Solution:-

- We will take the starting temperature to be = Ti

- The final temperature, Tc = 16 degrees

- We are given that there is a drop of 10 degrees from initial temperature To. We can mathematically express this as:

                                 To - 10

- Then there is a rise of 40 degrees after the drop of 10 degrees. The mathematical expression would be:

                                 To - 10 + 40

- The current temperature is Tc. We can equate the expression developed to final temperature:

                                 To - 10 + 40 = Tc

- Solve for To:

                                 To = 16 - 40 + 10

                                 To = -14 degrees

Answer:

-14 degrees

Step-by-step explanation:

In this question, we are asked to calculate the starting temperature if we know what the temperature is now and the kind of temperature change that has happened.

Now, since we do not know the initial temperature , let’s call it x

from the question, it dropped by 10 and increased by 40 and finally with a temperature of 16.

mathematically

x-10+40= 16

x+30 = 16

x = 16-30

x = -14

Answer:

5 apples

Step-by-step explanation:

brainliest?

5 Apples Are Left

Simply subtract the initial total and the apples given away.

10 - 5 = 5 left

Answer:G

Step-by-step explanation:I HAVE NO IDEA

Answer:

Jackie is incorrect. Since 2 pints equal 1 quart, she would need to multiply 12 by 2 to get the correct answer of 24 pints.

Answer:

69

Step-by-step explanation:

Sorry if its wrong, couldn't read it well

Answer:

The answer is 69cm²

It is kinda hard to see the numbers in the pic, but I hope this was the answer you were looking for!!  :)

Answer:

x =(-4-√96)/10=(-2-2√ 6 )/5= -1.380

x =(-4+√96)/10=(-2+2√ 6 )/5= 0.580

Step-by-step explanation:

Answer: cccccccccccccc

Step-by-step explanation: <3

Answer:

  cone volume = cylinder volume times 1/3 the ratio of cone height to cylinder height

Step-by-step explanation:

Let h1 and V1 represent the height and volume of the cylinder, and h2 and V2 the height and volume of the cone.

We are told they have a common base area (B), so ...

  V1 = Bh1   ⇒   B = V1/h1

  V2 = (1/3)Bh2 = (1/3)(V1/h1)h2

The volume of the cone is ...

  V2 = h2/(3h1)×V1

"one-third the ratio of cone height to cylinder height, multiplied by the cylinder volume."

answer. 137.5 degrees

Step-by-step explanation: 135+140=275/2=137.5

Answer: [tex]5.05[/tex]

Flip

Keep: 1.8

Change: - into +

Change: -3.25 into 3.25

Your new problem

[tex]1.8+3.25[/tex]

Add

[tex]1.8+3.25=5.05[/tex]

The expression 1.8 minus negative 3.25 simplifies to 1.8 plus 3.25, which equals 5.05.

The question asks you to calculate the result of the expression 1.8 minus negative 3.25. When you have a minus sign followed by a negative sign, they cancel each other out and it becomes an addition problem. Therefore, the expression simplifies to 1.8 + 3.25.

To calculate this, you add the two numbers:

Adding these numbers together gives you 5.05. So, 1.8 - (-3.25) equals 5.05.

Answer:

20

Step-by-step explanation:

Because it is a square table, that means all the sides are even. And to find the area, we do Height * Base. But again, because they're even, we would just need to find 2 numbers that multiply to be 400. And that number, is 20. 20 * 20 = 400. So the length of one side is 20.

Answer:

K = 51

Step-by-step explanation:

Since the triangles are similar, the angles are the same measure.

<K = <F

We can find angle F since the angles of a triangle add to 180

D + G + F = 180

59+70 +F = 180

Combine like terms

129+F = 180

Subtract 129 from each side

129-129+F = 180-129

F = 51

K = F = 51

Answer:

51°

Step-by-step explanation:

Angle K corresponds to Angle F

Angle F = 180 - 70 - 59

Angle F = 51°

Answer:

The answer is 1,275,120

Step-by-step explanation:

The goal of this is to determine the number of strings of strings of six lowercase letters from the English alphabet that contain the letters a and b in positions consecutive with a preceding b, with all the letters distinct.

Now,

As the letters  a and b are consecutive, the possible string outcomes are in this form:

ab_ _ _ _

_ab_ _ _

_ _ab_ _

_ _ _ ab_

_ _ _ _ ab

As seen here, ab can denoted in five locations as in C (5, 1) = 5 ways

we use the permutation for the order of the letters to be needed.

so,

n= 24, r =4

p (24, 4) = 24ǃ /( 24 - 4)ǃ

= 24ǃ /20ǃ

=255,024

Now, the number of possible strings is 5* 255.024 = 1,275,120.

In conclusion there are 1,275,120 number of strings of six lowercase letters from the English alphabet contain the letters a and b in consecutive positions with a preceding b, with all the letters distinct.