18.2x^3 + 4x^2 + 2x
A. This polynomial could be factored by finding the GCF, then by grouping or using the perfect squares method.
B. This polynomial could be factored by using the difference of squares method, perfect squares method, or grouping.
C. This polynomial could be factored only by using the perfect squares method.
D. This polynomial could be factored by using grouping or the perfect squares methods.
E. This polynomial could be factored only by using the difference of squares method.
F. This polynomial cannot be factored by any of the methods used in this lesson.

Answer:

x = -14/3

Step-by-step explanation:

-2(3x + 1) = 26

Distribute the -2 to the number in the parentheses.

-6x - 2 = 26

Add 2 to both sides of the equation.

(-6x - 2) + 2 = 26 + 2

-6x = 28

Divide both sides of the equation by -6.

(-6x)/-6 = 28/-6

x = -28/6

x = -14/3

Answer: -450 since negative minus a positive makes it even more negative

Answer: 17

Step-by-step explanation: 204/12 = 17

Answer:

204÷12=17

lexie used 17 per miles

Step-by-step explanation:

that if am right lol

Answer:

It will take Abbey 10 seconds to move 8.5 meters

Step-by-step explanation:

100 cm makes one meter

So 85 cm=85/100

85 cm. = 0.85 meter

So Abbey travels 0.85 meters every second

One second= 0.85 meters

Let the unknown time be x

X= 8.5 meters/0.85

X= 10 seconds

It will take Abbey 10 seconds to move 8.5 meters

Answer: a. 1

Step-by-step explanation:

There are 4 walls in total, and each wall measures 5ft high, 8ft wide

5 × 8=40 ft² for each wall

4×40=160 ft² for 4 walls

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

stated one gallon cover 160 ft²

160 ÷ 160=1 gallon

Hope this helps!! :)

Please let me know if you have any question

Answer: $87.35

Step-by-step explanation:

Answer:

$164.65

Step-by-step explanation:

$38+$126.65=$164.65

Answer: 357.50

Step-by-step explanation:

Multiply 11.0 and 32.5 without the decimal points.

It should look like this: 110 × 325

After you solve this equation, count the numbers after the decimal points in 11.0 and 32.5. There is one number after the decimal point in 11.0, and one number after the decimal point in 32.5. In the number 35750, count from the last number and add a decimal point right before the 5.

Hope it helps!!

Answer and Step-by-step explanation: Marginal Benefit is the maximum a person is willing to pay for an additional good or service. It can be calculated as:

[tex]marginal=\frac{Change total benefit}{Change quantity}[/tex]

For each cup of coffee:

For the first cup, benefit is $8;

For the second:

[tex]marginal=\frac{14-8}{2-1}[/tex]

marginal = 6

For the third:

[tex]marginal=\frac{18-14}{3-2}[/tex]

marginal = 4

For the fourth:

[tex]marginal=\frac{20-18}{4-3}[/tex]

marginal = 2

For the fifth:

[tex]marginal=\frac{21-20}{5-4}[/tex]

marginal = 1

The cost of the coffe is $3, so comparing benefit and cost, Neal should consume 4 cups of cofee per day.

Answer:

[tex]24[/tex]

Step-by-step explanation:

[tex] \frac{4(7 - 13)}{3 + ( - 4)} \times \frac{2 - (6 - 2)}{1} = \frac{28 - 52}{3 - 4} = \frac{ - 24}{ - 1} = 24[/tex]

Hope this helps ;) ❤❤❤

Answer:

24 (Can I have a brainlist, please?)

Step-by-step explanation:

4(7-13)/3 + (-4)2-(6-2)

First we solve the problems in the paraenthesis:

4(7-13)/3 + (-4)2-(6-2)

4(-6)/3 + -4 × 2 -(4)

Now we multiply the ones that are needed to be multiplied:

4(-6)/3 + -4 × 2 -(4)

-24/3 + -8 -(4)

-24/3 + 32

Now we divide:

-24/3 + 32

-8 + 32

And finally we solve the last:

-8 + 32

= 24

Hope that helped!

Answer: 61.44

Step-by-step explanation:

To find the quotient of 9216 and 150, it means to divide.

9216/150=61.44

Answer:

1) at ( 0,0) : y = x/2.   at(-3-1) : y = -1.   at(-3,3) : y = 2x +9

2) DNE ( does not exist )

Step-by-step explanation:

The general equation of tangent line

y - y1 = m( x - x1 )

attached below is the detailed solution on how i derived the answers above

They are both similar but not entirely the same.

The first expression y/x means we divide y over x. We divide two values here and we are not subtracting first before division. This expression is useful for when you want to find the variation constant in the equation y = kx (for direct proportion equations).

The other expression (y2-y1)(x2-x1) is where we first subtract the y values, and do the same for the x values, before we divide. This computes the slope of the line through the two points (x1,y1) and (x2,y2). It's also useful to figure out the average rate of change (one application of slope). For problems involving time versus distance, the average rate of change is the average speed in which the object is moving.

Answer:

  -16/1

Step-by-step explanation:

-16 in the form a/b can be written as -16/1.

Answer:

1/2

Step-by-step explanation:

its j the biggest its not that hard

Answer:

30.4 minutes

Step-by-step explanation:

The tank already has 240L in it, so we need to fill 1000 - 240 = 760L of water.

Since the pump pumps 25L per minute, we can find how many minutes it takes to pump 760L.

760 / 25 = 30.4 minutes.

It will take 30.4 minutes to fill the tank completely.

Two or more expressions with an equal sign are defined as an equation.

Given that, The 1000 L tank contains 240 L of water, therefore, the free space in the tank is :

1000-240

= 760 L

The pump fills the tank at a rate of 25 L per minute.

Therefore, it can be represented as:

25 L = 1 minute

1 L = (1/25) minutes

760 L = (1/25)×760 minutes

760 L = 30.4 minutes.

Hence, it will take 30.4 minutes to fill the tank completely.

Learn more about equations here:

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Answer:

1. 1. Because convenient sampling is adopted here data is only gotten from students that eat in the hall in a given period of time so this is a source of bias

Also one study center that is the Hall of only one school is used this is also biased and may affect the result of the study

To avoid this bias a simple random sampling where each student have an equal chance of being selected in the study should be adopted

Answer:

10

Step-by-step explanation:

2(3)²-8

2(9)-9

18-8=10

Answer:

28

Step-by-step explanation:

Answer:

[tex]\mathbf{R(\tau) = \dfrac{A^2}{2} cos (\omega \tau)}[/tex]

Step-by-step explanation:

To find Autocorrelation function of the following periodic function

Given that:

X(t) = A sin(wt +θ)

with the period T=2π/w , A, θ, and w are constants.

The autocorrelation function  of periodic function with period  and phase θ can be expressed as:

[tex]R(\tau) = \dfrac{1}{T} \int \limits ^{T/2}_{-T/2} x(t) *x(t - \tau) \ dt[/tex]

[tex]R(\tau) = \dfrac{A^2}{T} \int \limits ^{T/2}_{-T/2} \ A sin ( \omega t + \theta)*A sin [ \omega (t- \tau ) + \theta] \ dt[/tex]

where;

[tex]sinAsin B = \dfrac{1}{2}[cos (A-B) -cos (A+B)][/tex]

Then;

[tex]R(\tau) = \dfrac{A^2}{2T} \int \limits ^{T/2}_{-T/2} \ cos ( \omega t- \omega \tau + \theta - \omega t - \theta) - cos (\omega t - \omega \tau + \theta + \omega t + \theta) \ dt[/tex]

[tex]R(\tau) = \dfrac{A^2}{2T} \int \limits ^{T/2}_{-T/2} \ cos ( - \omega \tau ) - cos (2 \omega t - \omega \tau + 2 \theta) \ dt[/tex]

[tex]R(\tau) = \dfrac{A^2}{2T} \int \limits ^{T/2}_{-T/2} \ cos ( - \omega \tau ) \ dt - \dfrac{1}{2T} \int \limits ^{T/2}_{-T/2} cos (2 \omega t - \omega \tau + 2 \theta) \ dt[/tex]

The term 2  is the cosine wave of frequency and the phase = [tex]- w \tau + 2 \theta[/tex]

if we integrate that, the second term in the expansion for R(t) = zero

As such,

[tex]R(\tau) = \dfrac{A^2}{2T} \int \limits^{T/2}_{-T/2} \ cos ( - \omega \tau ) dt[/tex]

where ;

[tex]cos (-\omega \tau )[/tex]is constant

Then :

[tex]R(\tau) = \dfrac{A^2}{2T} cos (-\omega \tau) [t]^{T/2}_{-T/2}[/tex]

[tex]R(\tau) = \dfrac{A^2}{2T} cos (-\omega \tau) \times [\dfrac{T}{2}+ \dfrac{T}{2}][/tex]

[tex]R(\tau) = \dfrac{A^2}{2T} cos (-\omega \tau) \times [\dfrac{2T}{2}][/tex]

[tex]R(\tau) = \dfrac{A^2}{2T} cos (-\omega \tau) \times T[/tex]

[tex]R(\tau) = \dfrac{A^2}{2} cos (-\omega \tau)[/tex]

since [tex]cos (-\omega \tau) = cos (\omega \tau)[/tex]

[tex]\mathbf{R(\tau) = \dfrac{A^2}{2} cos (\omega \tau)}[/tex]

Step-by-step explanation:

here is the ans

please check

Answer:

see explanation

Step-by-step explanation:

Under a half turn about the origin

a point (x, y ) → (- x, - y ) , thus

(3, 0 ) → (- 3, 0 )

(3, 4 ) → (- 3, - 4 )

(- 1, - 4 ) → (1, 4 )

(r, s ) → (- r, - s )

The coordinates of the image point under a half-turn about the origin(3, 0 ) is (- 3, 0 ), (3, 4 ) is (- 3, - 4 ), (- 1, - 4 )  is (1, 4 ), (r, s ) is (- r, - s ).

The mirror image of a point in coordinate geometry is the image formed with respect to the x-axis, y-axis, or origin.

A point (x, y ) has image point (- x, - y )

Thus,

The coordinates of the image point under a half-turn about the origin(3, 0 ) is (- 3, 0 )

The coordinates of the image point under a half-turn about the origin(3, 4 ) is (- 3, - 4 )

The coordinates of the image point under a half-turn about the origin(- 1, - 4 )  is (1, 4 )

The coordinates of the image point under a half-turn about the origin(r, s ) is (- r, - s )

Learn more about images;

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Answer:

Step-by-step explanation:

"Tamara runs 5 miles each week"

Let Tamara runs 'x' weeks then equation that represents the total distance covered by Tamara will be,

1). y = 5x

2). Here 'y' is directly proportional to the number of weeks 'x'.

3). And the graph when plotted will start from 0. Therefore, graph (1) will be the graph for the given equation.

"Tamara runs 5 minutes more than she walks each day."

1). If Tamara walks 'x' minutes daily and she runs for y minutes then relation between x and y will be,

y = x + 5

2). y and x are non proportional.

3). Graph will have y-intercept = 5

Answer:

ik somebody answer already n stuff

Step-by-step explanation:

Answer:

they are integers and also rational numbers

Answer:

With alpha 0.95 and 8 degrees of freedom χ²= 2.73

And with alpha 0.05 and 8 degrees of freedom χ²=15.51

Step-by-step explanation:

The significance level ∝ = 1- 0.9 = 0.1

But we need the area of the middle so we divide this significance level with 2

so that we get exactly the middle area .

Dividing 0.1/2= 0.05

So we will have two values for chi square

One with  0.9 + 0.05 = 0.95 alpha and one with 0.05 alpha . This is because the chi square is right tailed.

So with alpha 0.95 and 8 degrees of freedom χ²= 2.73

And with alpha 0.05 and 8 degrees of freedom χ²=15.51

This can be shown with a graph.

Answer:

$1.50

Step-by-step explanation:

Answer: f(x)=x2-4x

Step-by-step explanation:

Answer:

Part A: The average car length is 9.1 feet to the nearest tenth foot

Part B: The line would be 9100 feet to contained 1000 cars

Step-by-step explanation:

* Lets explain how to solve the problem

# Part A:

- There were 62 cars in a line that stretched 567 feet

- The cars are lined up bumper-to-bumper

- That means there is no empty spaces between the cars

* To find the average length of the car we will divide the length of

 the line by the numbers of the cars

∵ The average car length = length of the line/number of cars

∵ The length of the line is 567 feet

∵ The numbers of the cars is 62 cars

∴ The average car length = 567/62 = 9.1 feet

* The average car length is 9.1 feet to the nearest tenth foot

# Part B:

- There are 1000 cars

- We need to find the length of line which contained the cars

∵ The average car length = length of the line/number of cars

∵ The average of car length is 9.1 feet

∵ The number of the cars is 1000 cars

∴ 9.1 = length of the line/1000

- Multiply both sides by 1000

∴ The length of the line = 9.1 × 1000 = 9100 feet

∴ The line would be 9100 feet to contained 1000 cars

Answer:

91.8°

Step-by-step explanation:

180-88.2=91.8°