Which of the following statements is a valid polynomial identity?

Statement 1: x3 + 216 = (x − 6)(x2 + 6x + 36)
Statement 2: x3 + 216 = (x + 6)(x2 − 6x + 36)

Group of answer choices

Only statement 1 is valid.

Only statement 2 is valid.

Statement 1 and statement 2 are valid.

Statement 1 and statement 2 are invalid.

Answer:

Step-by-step explanation:

The penalty for each day forms a sequence

This is an AP with the first term of 200 and common difference of 50

The sum of the first 30 terms is

Answer :

Additional Information :

Answer: 36

Step-by-step explanation:

Answer:

Step-by-step explanation:

first box (far left)  should be 1/6

second box should be 24

third box (far right on first equation) should be 10

p = 24

Answer:

1.) 1169

2.) 7

3.) 167 students/year

4.) 1879

5.) 1879+167t

6.) 4050

Step-by-step explanation:

1.) Find the difference between the number of students in 2002 and 2009:

[tex]3382-2213=1169[/tex]

2.) Find the difference in the years:

[tex]2009-2002=7[/tex]

3.) To find the average growth, find the change between 2002 and 2009 and divide by 7.

[tex](3382-2213)/7=y\\1169/7=y\\167=y[/tex]

4.) To find the population of the students in the year 2000, we need to subtract the average growth time and the difference of years from 2213.

[tex]2213-167(2002-2000) = y\\2213-334=1879[/tex]

5.) Taking the equation above, and changing it to match the requirements, we get:

[tex]P = 1879+167t[/tex]

6.) Now find the difference between 2013 and 2000, and substitute for t to get:

[tex]P = 1879+167(2013-2000)\\P = 1879+167*13\\P = 4050[/tex]

The correct table of values, graph the function and use the graph to estimate the sales 1 .... 12 weeks after release is,

t             s = 12 √4t + 10

1                    34

2                   43.94  

3                   51.56

4                   58

5                   63.66

6                   68.78

7                   73.49  

8                   77.88

9                   82

10                  85.89

11                   89.59

12                  93.13

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The sales of a certain product after an initial release can be found by the equation,

⇒ s = 12 √4t + 10

where s represents the total sales (in thousands) and t represents the time in weeks after release.

Here, The equation is,

⇒ s = 12 √4t + 10

where, s represents the total sales (in thousands) and t represents the time in weeks after release.

We put t=1,2,3,.....,12 and create a table

t             s = 12 √4t + 10

1                    34

2                   43.94  

3                   51.56

4                   58

5                   63.66

6                   68.78

7                   73.49  

8                   77.88

9                   82

10                  85.89

11                   89.59

12                  93.13

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Answer:

600.

Well, to divide these numbers, we can use certain strategy that fits with out logic. For example, we know that 56 divided by 7 can be done mentally, because it's a simple division that can be immediately solved.

So, 56 divided by 7 is 8, then we add the two zeros to the quotient, because we isolated the first to digit to make the division easier and then we have to add back those zeros.

Therefore the division results in 600.

There are several operations that can be done by using certain strategy, like separating the number in easier parts like we did this time.

$15

Explanation:

For each lawn he mows = $5

He should mow 6 lawns but did only 3 lawns as other 3 he forgot to mow.

earned:

Answer:

(1/2,square root 3/2) is the answer

Answer:

180-108=72.

72/3=24.

24x2=48

Answer:

Mean=5, 77 Median=6 Mode=6 I hope this will help you

height = 10m

hope it helps...!!!

Answer:

x = 4; y = 3; z = 2

Step-by-step explanation:

3x + 2y + z = 20

x - 4y - z = -10

2x + y + 2z = 15

6x + 4y + 2z = 40

 x  - 4y  - z   = -10

-------------------------

7x            + z = 30

 x  - 4y  -    z = -10

8x + 4y  + 8z = 60

----------------------------

9x            + 7z = 50

z = 30 - 7x

9x + 7(30 - 7x) = 50

9x + 210 - 49x = 50

-40x = -160

x = 4

z = 30 - 7(4)

z = 2

2x + y + 2z = 15

2(4) + y + 2(2) = 15

y = 3

x = 4; y = 3; z = 2

Answer:

Step-by-step explanation:

If x = 0, f(x) = -15.

If f(x) = 27, x = 3.

The vertex form of quadratic equation is f(x) = -5(x-1)^2 + 6

A quadratic equation is written in its vertex form in order to easily determine the maximum or minimum point on the curve.

The standard vertex form of an equation is given as:
a(x-b)^2 + k

From the given option, we can see that the only eqeuation writen in this form is f(x) = -5(x-1)^2 + 6

Hence the vertex form of quadratic equation is f(x) = -5(x-1)^2 + 6

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The expression that represents the total number of customers held by all three companies is 5x + 10

Systems of equations are made of several equations with unknown variables.

Let the amount of customers company B has be x

If Company C has 10 customers more than company B, then the total customers for company B is x + 10

If Company A has three times as many customers as company B, the total customers for company A is 3x

Total customers = x + 10 + x + 3x

Take the sum

Total customers = 5x + 10

Hence the expression that represents the total number of customers held by all three companies is 5x + 10

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The volume of a sphere is the amount of space in it

The volumes of the spheres are 24416.64, 113.04 and 310181.76

The volume of a sphere is calculated using:

V = 4/3 πr^3

When the radius, r = 18, we have:

V = 4/3  * 3.14 * 18^3

V = 24416.64

When the radius, r = 3, we have:

V = 4/3  * 3.14 * 3^3

V = 113.04

When the radius, r = 42, we have:

V = 4/3  * 3.14 * 42^3

V = 310181.76

Hence, the volumes of the spheres are 24416.64, 113.04 and 310181.76

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Answer:

Step-by-step explanation:

So you have a constant value of 5 dollars and a variable value of 1.50 dollars. some equation of these numbers equals 23 dollars. That equation is

23=5+(1.50n) where n is the number of booster packs.

Answer:

$23 = $5 + 1.5x

Step-by-step explanation:

We can make a format to find the equation.

Total = base fee + $ per pack

Let x = the number of packs

Therefore, the equation will be like this:

$23 = $5 + 1.5x

I hope this helps and please mark me as brainliest!

Answer:

y=-3x

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

hello :

1 1/2 multiply 12 means : (11×12/2)= (11×6×2)/2 =66

Answer:

x = -12

Step-by-step explanation:

⇒ -5x = 60

Isolate the variable "x" by dividing by -5 on each side.

⇒ -5x/-5 = 60/-5

⇒ x = -12

The solution is x = -12

[tex]\boxed{ \sf \bold{x = -12}}[/tex]

Explanation:

[tex]\dashrightarrow \ \ \sf -5x = 60[/tex]

divide both sides by -5

[tex]\dashrightarrow \ \ \sf \dfrac{-5x}{-5} = \dfrac{60}{-5}[/tex]

simplify

[tex]\dashrightarrow \ \ \sf x = -12[/tex]

The equation that represents the total number of glowlight tetras, y, in the fish tank is y = 3x.

How to form a equation?

The classroom fish tank contains x cichilds. Therefore,

number of cichilds = x

The tank contains 3-times as many glowlight tetras as cichlids.

where

y = total number  of glowlight tetras in the fish tank

Therefore, the equation that represents the total number of glowlight tetras, y, in the fish tank is as follows:

y = 3x

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Answer:

15% could be for brown eyes

Answer:

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

Step-by-step explanation:

you have a bag witha a total of 16 gummy worms right? 6 out of 16 of them are red, 5 out of 16 are green.

now that you've got your probabilities all sorted, now it's time to use some basic probability principles. if you ever come across a probability question with the word and, you need to know automatically that you are multiplying. if you ever come across the word or, you are adding. it's always gonna be like this.

so when you multiply your two probabilities, you get the answer [tex]\frac{1}{8}[/tex]

whenever you're dealing with probability, make sure you're aware of things that are being taken. check whether they're being replaced or not. the way I attempted at working it out is how the other probability questions involving replacements are solved, no matter what it is.

I really hope you found this helpful (that is if all I said is correct) :)

Answer:

You see that 73 degrees and angle 'a' must add up to be = to 180 degrees since both angles form that straaight line on the left. So 180 degrees - 73 = 107 degrees which is measure of angle 'a'

Step-by-step explanation:

Answer:

107°

Step-by-step explanation:

The two angles below form a linear pair.

They are characterized by forming a sum of 180°, which is the standard angle measure of any line.

⇒ a + 73° = 180°

⇒ a = 107°

Answer:

Step-by-step explanation:

In the first equation, -4 x -b should be postive 4b, so +4b, because a negative times a negative equals a postive

Answer: 7

Step-by-step explanation: -4(6 - b) = 4

-24 + 4b = 4

The negative turns into a postive for 4b because two negatives make a postive.

4b (positive) = 28

b = 7

Answer: You should try to multiply and divide try then question me back. But the answers are neither of them.

Step-by-step explanation:

Answer: 0.19s and 14.6s

Step-by-step explanation:

The distance of the ball at any time is given by the function s(t). For now, you can ignore all the details about the height of the man and the intial velocity of the ball. We only care about what time 't' will the ball be 14 feet off the ground. In math terms, they are asking when:

[tex]s(t)=14[/tex]

Where:

[tex]s(t)=-2.7t^2+40t+6.5=14[/tex]

Subtract 14 on both sides:

[tex]s(t)=-2.7t^2+40t-7.5=0[/tex]

Use the quadratic formula to solve for the variable 't'. This will give the possible time values where the ball will be 14 feet off the ground:

[tex]t=-b+\sqrt{b^2-4ac} /2a[/tex]

[tex]t=-b-\sqrt{b^2-4ac} /2a[/tex]

[tex]a=-2.7[/tex]

[tex]b=40[/tex]

[tex]c=-7.5[/tex]

Therefore:

[tex]t=(-40)+\sqrt{40^2-4(-2.7)(-7.5)} /2(-2.7)=0.19s[/tex]

[tex]t=-40-\sqrt{40^2-4(-2.7)(-7.5)} /2(-2.7)=14.6s[/tex]

This is saying the ball almost immediately hits 14 feet given the intial velocity, then it reaches its peak and falls back down to 14 feet again, where it will eventually hit the ground again

The net amount that will be saved by the Jones for the first year will be $814.32.

From the information given, the old mortgage yearly payment will be:

= Monthly payment × Months

= $259.32 × 12

= $3111.84

The new monthly yearly payment will be:

= Monthly payment × Months

= $327.18 × 12

= $3926.16

Therefore, the net amount that will be saved will be:

= $3926.16 - $3111.84

= $814.32

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Answer: 250

Step-by-step explanation:

This problem is attempting to explain the distributive property to you.

The distributive property states that if you have the numbers a, b, and c:

[tex](a*c) + (b*c) = c * (a+b)[/tex]

In your specific case, this would look like this:

[tex](23+37) * 4\frac{1}{6}[/tex]

[tex]60 * \frac{(4*6)+1}{6}[/tex]

[tex]60*\frac{25}{6}[/tex]

To simplify, we factor a 6 out of the equation:

[tex]10*25 = 250[/tex]