One factor of the polynomial 2x3 -3x2 – 3x + 2 is (x - 2), which expression represents the other factor, or factors, of the polynomial?
A. (2x + 1)(x - 1)
B (2.x2 - x+ 1)
C (2x2 + 1)
D. (2x - 1)(x+1)

Answer:

2+7

Step-by-step explanation:

2-(-7)

_ ×_= +

2+(7)

2+7

9

Answer:

B.

Step-by-step explanation:

Start from 2 then move 7 to the right

- * - = +

2 - (-7)

= 2 + 7,

Answer:8

Step-by-step explanation:

1×8=8

8×8=64

1/8=8/64

Answer:

  86.75

Step-by-step explanation:

Given test scores of 63.5, 76, and 87 that each count for 20% of your grade, you want to know the fourth test score needed for an average of 80, if the fourth test is worth 40% of your grade.

The grade for the course, with fourth test score x, will be ...

  0.20(63.5 +76 +87) +0.40x = 80

  0.40x +45.3 = 80

Solving for x, we get ...

  0.40x = 34.7 . . . . subtract 45.3

  x = 86.75 . . . . . . . divide by 0.4

The minimum score you need on the fourth test is 86.75.

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\(9.31*10^5\) gallons are the total gallons of water used by the water park after adding the new ride.

To express the total gallons of water used by the water park after adding the new ride in scientific notation, we need to add the two values together and then convert them to scientific notation.

\(8.8*10^5\) gallons + 51,000 gallons = \(9.31*10^5\) gallons

Therefore, the total gallons of water used by the water park after adding the new ride is \(9.31*10^5\) gallons.

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Answer:

GCF is 15

Distributive Property = 15

Step-by-step explanation:

Answer:

GCF = 15

Distributive Property = 15(p - 2)

Step-by-step explanation:

On solving the linear equations we get the result  as

x1   + x2   − 2x3 + 3x4 + 2x5 = 6

3x1 + 3x2 − x3   + x4   + x5   = 12

2x1 + 2x2 − x3   + x4   − 2x5 = 5

4x1 + 4x2 + x3    +0x4 − 3x5 = 16

8x1 + 5x2 − 2x3 − x4   + 2x5 = 29

where ,

x1 =  5,x2 = -1, x3 =  3 ,x4 =  2 , x5 =  1

Finding the value of an equation's unknown variable can be done by solving the equation. If an equation contains a "equal to" sign, it is considered to be balanced. This equation so shows that the two quantities on both sides of it are equal. Left hand side and right hand side are the two sides of the equation (Right hand side).

One equation is x - 4 = 5, for instance. It illustrates that x - 4 (LHS) = 5. (RHS). Here, x is an unknowable quality or variable. Therefore, in order to determine the value of x, we must solve this equation.

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Answer:

12

Step-by-step explanation:

12

Answer:

954 passengers

Step-by-step explanation:

We can use ratios to solve

15 buses                   18 buses

--------------             = ---------------

795 passengers      x passengers

Using cross products

15 * x = 18 * 795

15x = 14310

Divide each side by 15

15x/15 = 14310 /15

x =954

18 buses can carry 954 passengers

The area of the circle with the given radius is 201.088 square units.

The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.

Given that, the radius of a circle is 8 units.

Here, area of a circle

= 3.142×8²

= 3.142×64

= 201.088 square units

Therefore, the area of the circle is 201.088 square units.

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Answer:

1586.91 m³

Step-by-step explanation:

From the diagram attached,

Applying,

A = πrl.................. Equation 1

Where A = surface area of the cone, l = slight heigth of the cone, π = pie.

make l the subject of the equation,

l = A/πr.............. Equation 2

From the question,

Given: A = 628.32 m², π = 3.14, r = 8 m

Substitite these values into equation 2

l = 628.32/(3.14×8)

l = 25 m

But,

l² = h²+r².................... Equation 3

Where h = height of the cone.

h = √(l²-r²)

h = √(25²-8²)

h = √(625-64)

h = √(561)

h = 23.69 m

Also Applying,

V = 1/3πr²h

Where V = volume of the cone.

Therefore,

V = (3.14×8²×23.69)/3

V = 1586.91 m³

Answer:

See step by step.

Step-by-step explanation:

lets define the events:
A: cuban festival        C: tropical Garden
B: street art show      D: african festival

a) theoretically the probability is

\(P(A)=P(B)=P(C)=P(D)= \frac{1}{4} = 0.25 \\\)
This is 25% (for each one, equally)

b) The experimental probability is given by:

\(P(A)= \frac{32}{150} =0.2133\)

\(P(B)= \frac{38}{150} =0.2533\)

\(P(C)= \frac{35}{150} =0.2333\)
\(P(D)= \frac{45}{150} =0.3000\)

c) The theoretically probabilities are all equally, the experimental probabilities are close to 25% each one, but differ lightly each one, since is an experiment and the result is random.  

Answer:

5.3 divided by 0.25 is 21.2

Sorry, Loves.

But I can't really type my work-

I'm on a chrome book so I don't have a camera.

The population of the island after 10 years will be approximately 2385.

The formula for exponential growth is \(y = y_0e^{(kt)}.\)

The formula for exponential decay is \(y = y_0e^{(-kt)}\).

Increases in a population's or a dispersed group's membership are referred to as population growth. The actual annual increase in the human population is about 83 million, or 1.1%.

Given,  an island's population grows exponentially and the continuous growth rate is 3% per year and the current population is 1,767.

∴ The population be 10 years from now will be,

\(y_{10} = y_0e^{(0.03)\times10}\).

We have written 3% as a decimal and it is the correct way of putting it into the formula for exponential growth or decaying equations.

\(y_{10} = 1767e^{0.3}\).

\(y_{10} = 1767\times1.35\).

\(y_{10} = 2385\).

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Answer:

1) 35 + 5 = 40

2) 15 + -5 = 10

3) 10 + -25 = -15

Step-by-step explanation:

Hope this helps

Have a great day!

Answer:

There is 1/32 pound food for each fish

Step-by-step explanation:

24 fish = 3/4 pound food

1 fish = (3/4)/24 pound food = 1/32 pound food

(Problem solved by using unitary method)

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

Answer:

5.7 units

Step-by-step explanation:

The distance from point P to QS is the distance from point P (1, 1) to the point of interception R(-3, 5).

Use distance formula to calculate distance between P and R:

\( PR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

Let,

\( P (1, 1) = (x_1, y_1) \)

\( R(-3, 5) = (x_2, y_2) \)

Plug in the values into the formula.

\( PR = \sqrt{(-3 - 1)^2 + (5 - 1)^2} \)

\( PR = \sqrt{(-4)^2 + (4)^2} \)

\( PR = \sqrt{16 + 16} \)

\( PR = \sqrt{32} \)

\( PR = 5.7 units \) (to nearest tenth)

Answer:

OD

Step-by-step explanation:

because it gives us error and there's no number

The correct option is (D) .

In all these options , they  are presenting real complex number .Real numbers can be positive or negative, and include the number zero. that is why we select option D .

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Answer:

0.62 grams

Step-by-step explanation:

Bernie initially added 0.61 grams of salt into the pot, and then added 0.01 grams before serving. To find the total grams of salt added to the pot, simply add 0.61 grams and 0.01 grams.

0.61+0.01=0.62 grams

Volume is a three-dimensional scalar quantity. The volume of foam that is needed in cubic inches is 83.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of foam needed is the difference between the volume of the cube and the volume of the square pyramid. Therefore,

The volume of cube = a³ = 5³ = 125 in³

The volume of Pyramid = (1/3)×blh = (1/3)×5×5×5 = 41.667

The volume of foam needed = 125 in³-41.667 in³ = 83.3334 in³ ≈ 83 in³

Hence, the volume of foam that is needed in cubic inches is 83.

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Answer:

add to eliminate x

Step-by-step explanation:

x has the same coefficients so that will be the one you need to eliminate

Would -x+x or -x-x would eliminate x?

adding would

so you would add to eliminate x

a) The mean of the data-set is of 2.

b) The range of the data-set is of 4 units, which is of around 4.3 MADs.

The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations in the data-set, which is also called the cardinality of the data-set.

The dot plot shows how often each observation appears in the data-set, hence the mean of the data-set is obtained as follows:

Mean = (1 x 0 + 5 x 1 + 3 x 2 + 5 x 3 + 1 x 4)/(1 + 5 + 3 + 5 + 1)

Mean = 2.

The range is the difference between the largest observation and the smallest, hence:

4 - 0 = 4.

4/0.93 = 4.3 MADs.

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Step-by-step explanation:

The body reverses direction whenever we go from Positve velocity to negative velocity or vice versa.

So here it is (2,7) exclusive then (7,10) exclusive.

A constant speed means a slope of 0. Here it is (3,6).

c. Since speed is non negative, we would reflect any part of the velocity function that is below the time.axis about the time axis

So we would get

Above is the function, don't worry bout the math part.

D. Knowing that acceleration is the derivative of velocity with respect to time, the derivative of any linear function is the slope of that linear function. So if we find the slope of different paths, we will get a constant and then we can graph it

We must use the original graph because acceleration is a vector meaning it can be negative.

We would get

the second graph is acceleration vs time

Part a

\(A(11)=224-16(11)=\boxed{\$48}\)

Part b

\(A(t)=0\\\\224-16t=0\\\\t=\frac{224}{16}\\\\t=\boxed{14 \text{ trips}}\)

a) The amount of money does Ahmad have left in the account after 11 trips on the toll roads is $ 48

b) The number of trips on the toll roads can he take until his account is empty is 14 trips

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

A ( t ) = 224 - 16t , where t is the number of trips

a)

The amount of money does Ahmad have left in the account after 11 trips on the toll roads be P

Substituting the value of t = 11 in the equation , we get

A ( 11 ) = 224 - 16 ( 11 )

A ( 11 ) = 224 - 176

A ( 11 ) = $ 48

So , The amount of money does Ahmad have left in the account after 11 trips on the toll roads is $ 48

b)

The number of trips on the toll roads can he take until his account is empty be n

when A ( t ) = 0

224 - 16t = 0

Adding 16t on both sides of the equation , we get

224 = 16t

Divide by 16 on both sides , we get

t = 14 trips

Hence , the equations are solved

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Si Verónica, Ana y Luis están pintando una barda y se les paga un total de 300 unidades monetarias (por ejemplo, dólares, pesos, etc.), para determinar cuánto dinero debería recibir cada uno, necesitamos más información sobre cómo se distribuye el trabajo entre ellos.

Si los tres contribuyen de manera equitativa y realizan la misma cantidad de trabajo, podrían dividir el pago de manera igualitaria. En ese caso, cada uno recibiría 100 unidades monetarias (300 dividido entre 3).

Sin embargo, si uno de ellos realiza más trabajo o tiene una mayor responsabilidad en la tarea, podría ser justo que reciba una porción mayor del pago. En ese caso, la distribución de los 300 unidades monetarias dependerá de un acuerdo previo entre ellos sobre cómo se divide el pago en función de la cantidad o calidad del trabajo realizado.

Es importante tener en cuenta que la asignación exacta de dinero puede variar dependiendo de las circunstancias y el acuerdo al que lleguen Verónica, Ana y Luis.

The two relations to change the units of temperatueres are:

a) C = (5/9)*(F - 32°)

b) F = (9/5)*C + 32°

We start knowing that:

32°F = 0°C

212°F = 100°C

Taking the difference we can get the relation:

212°F - 32°F = 100°C - 0°C

180°F = 100°C

1.8°F = 1°C

(9/5)*F = 1°C

Then the relation to go from Farhenheit to Celcius is:

C = (5/9)*(F - 32°)

b) To get the other relation, we just need isolate F in the above one, so we get:

C = (5/9)*(F - 32°)

(9/5)*C = F - 32°

(9/5)*C + 32° = F

Then the other relation is:

F = (9/5)*C + 32°

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Answer: b = 11.62

Step-by-step explanation:

We can use this formula to solve for b:

\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)

\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)

\(b^2= \sqrt{144-9}\)

= 11.61895004

We can round that to 11.62.

Hope this helped!

Answer:b

Step-by-step explanation:

The area of circle S will be 50.24 mm². Then the correct option is A.

Let r be the radius of the circle. Then the area of the circle will be

A = πr² square units

The radius of circle S is half the radius of circle L.

Let 'r₁' be the radius of circle S and 'r₂' be the radius of circle L. Then the equation is given as

r₁ = r₂ / 2

The radius of circle L is 8 millimeters. Then the radius of the circle S is calculated as,

r₁ = 8 / 2

r₁ = 4 mm

The area of the circle S is calculated as,

A = πr₁²

A = 3.14 x (4)²

A = 50.24 mm²

The range of the circle S is 4 mm. Then the region of the circle S will be 50.24 mm². Then the right choice is A.

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The programming code that gives instructions to other parts of the computer.

Computer programming code is typical referral source code. Source code is a set of instructions written using a computer programming language that tells a computer what to do.

It is written in a language that a computer can understand, and is usually written in a text file. Source code is the foundation of all computer programming and software development, and it is the basis for creating applications, programs, and websites. Source code is written in a language such as C++, Java, or Python and is compiled and then translated into machine language that the computer can understand and execute.

The source code is then tested and debugged to ensure that it works correctly. Source code is an essential part of software development and is the foundation for successful software projects.

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Answer:

Sally will need to sell 8 glasses of lemonade

Step-by-step explanation:

Very Simple, you just need to do 20 divided by 2.50 and there is your answer

Hope this helps :)