9. x3 – 4x+1=0
Rational roots?

The total number of possible arrangements when all the cubes are arranged in a line is 96.

To calculate the number of possible arrangements when all the cubes are arranged in a line.

we need to consider the total number of cubes and their quantities.

In this case, we have:

- 1 purple cube

- 2 blue cubes

- 2 red cubes

- 4 orange cubes

- 1 green cube

- 2 yellow cubes

To find the number of arrangements, we can use the concept of permutations. The formula for permutations is given by:

P(n) = n!

Where P(n) represents the number of permutations of n objects and n! denotes the factorial of n.

First, let's calculate the factorial of the total number of cubes:

\(n! = 1! * 2! * 2! * 4! * 1! * 2!\)

Calculating the factorials:

\(1! = 12! = 2 * 1 = 24! = 4 * 3 * 2 * 1 = 24\)

Substituting the values back into the equation:

\(n! = 1 * 2 * 2 * 24 * 1 * 2 = 96\)

Therefore, the total number of possible arrangements when all the cubes are arranged in a line is 96.

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\( log(4 \times 3) = log(4) + log(3) = \)

\( log( {2}^{2} ) + log(3) = \)

\(2 log(2) + log(3) \)

_____________________________________________

\( log(2 \times {3}^{2} ) = \)

\( log(2) + log( {3}^{2} ) = \)

\( log(2) + 2 log(3) \)

_____________________________________________

\( log( ({x \times y})^{3} ) = \)

\( log( {x}^{3} \times {y}^{3} ) = \)

\( log( {x}^{3} ) + log( {y}^{3} ) = \)

\(3 log(x) + 3 log(y) \)

Have a great time ❤

Answer:

53.73

Step-by-step explanation:

Explanation:

Since there are 8 tons of sugar in total, and there is a total of 3 + 3 / 5 containers, to find the amount each container :

divide the total of sugar/total amount of container

The four math sentences that have an answer of 2.4 are 1.2 + 1.2, 1.2 * 2, 3.6 - 1.2 and  4.8/2

From the question, we have the following parameters that can be used in our computation:

An answer of 2.4

Using a different operation in each sentence., we have the following math sentences

1.2 + 1.2

1.2 * 2

3.6 - 1.2

4.8/2

The solution to each of the above sentences is 2.4

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The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively

Given the function :

Substitute the given value of x to obtain the corresponding f(x) values :

x = -0.6

f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358

x = -0.51

f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350

x = -0.501

f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967

x = -0.5

f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959

x = -0.4999

f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958

x = 0.499

f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951

x = -0.49

f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188

x = -0.4

f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125

Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013

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The answer is:  4100x  +  21390

We need to know the number of months Marian wants to save to get the specific value.

In the equation, we will need to calculate the maximum amount of money Marian can spend on the house.

We can calculate the maximum amount of money Marian can spend on a house by multiplying her monthly income by the number of months she would want to save.

Marian earns $4,100.00 per month

Suppose Marian wants  to save for  x months,  then the maximum amount that she can spend on the house is:

4100  *   x    +  21390

The answer is:  4100x  +  21390

We need to know the number of months Marian wants to save to get the specific value.

Hope this helps!

The given function is linear and constant because your equation is represented by the standard form for the linear equation.

A linear function can be represented by an equation. The standard form for the linear equation is: y= mx+b , for example, y=6x+4. Where:

m= the slope.

b= the constant term that represents the y-intercept

For the given example: m=6 and b=4.

An equation is classified as nonlinear when it is not represented by the standard form for the linear equation. For example, 2x²+x+10, x², x³, x³ +2, etc.

The given equation is  4y=24. Firstly, you should rewrite it  to the standard form for the linear equation is: y= mx+b. Therefore,

4y=24

y=24/4

y=6

If the standard form for the linear equation is y= mx+b, for the given equation m=0 and b=6. Thus, the given equations is linear and constant. It can be classified for constant because for any value of x, the value of y always be equal to 6.

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Answer:

5/8 is the answer to this problem!

Step-by-step explanation:

The reason why this is the answer is that all 3 numbers have to equal 8/8 ... so 1/8 + 2/8 + 5/8 = 8/8!

Hope this helps + sorry if I am too late:)

We have

tha table of the store one

and a graph for the store two

First we need to calculate the price per gallon of the Store 1

Then we calculated the price per gallon of the Store 2

the point in the image can help us

(5,100)

that means

5 gallons cost $100

The cost per gallon in Store 2 is

Store 1 : 1 gallon per

Answer:

P=plane

S=solid

1.s

2.p

3.s

4.s

5.p

6.p

7.s

8.p

9.s

10.p

If you are helped with my answer pls tag me brianliest

THANK YOU...

Answer:

1/2=10

Step-by-step explanation:

it depends upon the area of the triwngle

Answer:

c and d

Step-by-step explanation:

hi there! if you are solving for x  the answer to 3 1/3(1+2x)=5 1/2(2x-1) is 215/182  

Answer:

y = 1/3x - 7/3

Step-by-step explanation:

y2 - y1 / x2 - x1

-1 - (-3) / 4 - (-2)

2/6

= 1/3

y = 1/3x + b

-1 = 1/3(4) + b

-1 = 4/3 + b

-7/3 = b

Answer:

24.58 km

Step-by-step explanation:

1 km = 1000 m

1 m = 1 / 1000 km

24580 m

= 24580 / 1000

= 24.58 km

The two different trinomials that have a greatest common factor of  \(5x^{2} y^{3}\) are:

a) \(35x^{2} y^{5}z^{2} +5 x^{4}y^{9}z +15x^{3} y^{3}\)

b) \(25x^{4} y^{3} z+5x^{7}y^{8} +10x^{2}y^{4} z\\\)

Let us verify,

a)  Consider the trinomial   \(35x^{2} y^{5}z^{2} +5 x^{4}y^{9}z +15x^{3} y^{3}\),

The Greatest Common Factor  of 35, 5, 15 is 5

The Greatest Common Factor  of  \(x^{2} ,x^{4} ,x^{3} =x^{2}\)

The Greatest Common Factor  of  \(y^{5} ,y^{9} ,y^{3} = y^{3}\)

There is no G.C.F for z because it is missing in the 3rd term.

So, the G.C.F  of the trinomial   \(35x^{2} y^{5}z^{2} +5 x^{4}y^{9}z +15x^{3} y^{3}\) =  \(5x^{2} y^{3}\)

b) Consider the trinomial   \(25x^{4} y^{3} z+5x^{7}y^{8} +10x^{2}y^{4} z\\\),

The Greatest Common Factor  of 25, 5, 10 is 5

The Greatest Common Factor  of \(x^{4} ,x^{7} ,x^{2} =x^{2}\)

The Greatest Common Factor  of \(y^{3} ,y^{8} ,y^{4} = y^{3}\)

There is no G.C.F for z because it is missing in the 2nd term.

So, the G.C.F of the trinomial  \(25x^{4} y^{3} z+5x^{7}y^{8} +10x^{2}y^{4} z = 5x^{2} y^{3}\)

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Answer:

difference - subtraction

sum - addition

of - multiplication

per - division

decreased by - subtract

together - addition

quotient - division

product - multiplication

Answer:

y=2x+6

Step-by-step explanation:

Answer:

b d e a im not fore sure tho

Step-by-step explanation:

Answer:

x+7

Step-by-step explanation:

Hope this helps!

Please mark me brainliest if possible. :)

Answer:

21

Step-by-step explanation:

I did the math.

Answer:

756 divided by 36 = 21

Answer:

72.75

Step-by-step explanation:

1) take the big number and divide it by 2

2) the answer will be 72.75 per 1 hoodie

Answer:

$43,618

Step-by-step explanation:

Find the price of the car after this price increase.  Multiplying $38,600 by 1 yields the original price, whereas multiplying it by 0.13 yields the price increase.  Thus, we can answer this question by multiplying $38,600 by 1.13:

$38,600*1.13 = $43.618.  This is the price for which the dealer sells the car.

Answer:

Explanation:

We can factor the numerator and denominator as;

(

x

−

2

)

(

x

−

1

)

2

x

(

x

−

1

)

We can now cancel common term in the numerator and denominator:

(

x

−

2

)

(

x

−

1

)

2

x

(

x

−

1

)

⇒

x

−

2

2

x

However, we cannot divide by

0

so we must exclude:

2

x

=

0

⇒

x

=

0

and

x

−

1

=

0

⇒

x

1

x

2

−

3

x

+

2

2

x

2

−

2

x

=

x

−

2

2

x

Where:

x

≠

0

and

x

≠

1

Or

x

2

−

3

x

+

2

2

x

2

−

2

x

=

x

2

x

−

2

2

x

=

1

2

−

1

x

Where:

x

≠

0

and

x

≠

1

Step-by-step explanation:

Answer:

\((2x^2+3x)+(4x^2-7)\) =

\(6x^2+3x-7\)

Answer:

it is too blury to read

Step-by-step explanation: