Which of the following is NOT a possible root of the function? (Hint: Use the rational root theorem, write out all the possible roots, and see which one is NOT on your list.) Please use any sources to help you.
f(x)= 3x^3+2x^2+x+4

A. +4/3
B. +1
C. +3/4
D. +2

The speed of the train in kilometer per hour is 68.9km/hr.

The rate of change of position of an object in any direction.

[tex]speed = \frac{distance}{time}[/tex]

According to the given question

Distance travelled by commuter train = 21km

Time taken by a train to travel 31 km = 27 minutes = [tex]\frac{27}{60} =0.45hour[/tex]

Therefore, the speed of the train in kilometer per hour is given by

[tex]speed = \frac{31}{0.45}[/tex]

⇒[tex]speed = 68.9km/hr[/tex]

Hence, the speed of the train in kilometer per hour is 68.9km/hr.

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Answer:

a) A = 3π/16

b) A = ∑₂°° (π/n⁴) = π⁵/90 − π

Step-by-step explanation:

(a) The area between the curve and the x-axis is:

A = ∫ₐᵇ y (dx/dt) dt

x = ½ (1 − cos t) cos t

dx/dt = ½ (1 − cos t) (-sin t) + ½ sin t cos t

dx/dt = -½ sin t + ½ cos t sin t + ½ sin t cos t

dx/dt = -½ sin t + sin t cos t

dx/dt = -½ sin t (1 − 2 cos t)

y dx/dt = -½ sin t (1 − 2 cos t) × ½ (1 − cos t) sin t

y dx/dt = -¼ sin²t (1 − 3 cos t + 2 cos²t)

y dx/dt = -¼ sin²t + ¾ sin²t cos t − ½ sin²t cos²t

y dx/dt = ⅛ (-2 sin²t) + ¾ sin²t cos t − ½ (sin t cos t)²

y dx/dt = ⅛ (-1 + 1 − 2 sin²t) + ¾ sin²t cos t − ½ (½ sin(2t))²

y dx/dt = ⅛ (-1 + cos(2t)) + ¾ sin²t cos t − ⅛ sin²(2t)

y dx/dt = -⅛ + ⅛ cos(2t) + ¾ sin²t cos t + ¹/₁₆ (-2 sin²(2t))

y dx/dt = -⅛ + ⅛ cos(2t) + ¾ sin²t cos t + ¹/₁₆ (-1 + 1 − 2 sin²(2t))

y dx/dt = -⅛ + ⅛ cos(2t) + ¾ sin²t cos t + ¹/₁₆ (-1 + cos(4t))

y dx/dt = -⅛ + ⅛ cos(2t) + ¾ sin²t cos t − ¹/₁₆ + ¹/₁₆ cos(4t)

y dx/dt = -³/₁₆ + ⅛ cos(2t) + ¾ sin²t cos t + ¹/₁₆ cos(4t)

A = ∫₀ᵖⁱ [-³/₁₆ + ⅛ cos(2t) + ¾ sin²t cos t + ¹/₁₆ cos(4t)] dt

A = -³/₁₆ t + ¹/₁₆ sin(2t) + ¼ sin³t + ¹/₆₄ sin(4t) |₀ᵖⁱ

A = [-³/₁₆ π + ¹/₁₆ sin(2π) + ¼ sin³π + ¹/₆₄ sin(4π)] − [0 + ¹/₁₆ sin(0) + ¼ sin³0 + ¹/₆₄ sin(0)]

A = -³/₁₆ π

We got a negative answer because the graph traces to the left (x decreases as t increases).  So the area is simply ³/₁₆ π.

b) Each circle has radius 1/n², so the area is π (1/n)² = π/n⁴.

The sum of the areas from n=2 to n=∞ is:

A = ∑₂°° (π/n⁴)

A = ∑₁°° (π/n⁴) − π

A = π ∑₁°° (1/n⁴) − π

A = π (π⁴/90) − π

A = π⁵/90 − π

Answer:

714 miles

Step-by-step explanation:

if he drove 14 hours and in each hour he drove 51 miles then multiply

14*51=714

Answer:

1. 10 nickels and 34 dimes

Step-by-step explanation:

Answer:

18049/14= 1289 with a remainder of 3

Answer:

3

Step-by-step explanation:

5.) x>20

11.)x≤−15

13.)x≥−21

2.)x≤−7

6.)x≤−45

10.)x≤10

12.)x≥−12

16.)x≤−4

Answer:

2. x ≤ -7

5. x > 36

6. x ≤ -40

10. x ≤ 10

11. x ≤ -15

12. x ≥ -12

13. x ≥ -21

16. x ≤ -4

Step-by-step explanation:

2. x ≤ -7 (You want to add 8 to both sides like any equation, but don't forget it is an inequality, not an equation!)

5. x > 36 (You need to multiply by 2, to get rid of the division. So multiply both sides by 2, that gets rid of the 2 on the one side, and you get 36 on the other side when you multiply 18 by 2).

6. x ≤ -40 (You need to multiply by -5. REMEMBER: When you multiply or divide by a negative, you switch the sign. So if it is a < then it would be a > and same with if you had ≤ then it would be ≥ instead).

10. x ≤ 10 (You need to divide by -2. And once again you switch the signs).

11. x ≤ -15 (Add 8, like you did in number 2).

12. x ≥ -12 (Multiply by 6. REMEMBER: Do NOT switch the signs if you the number you are dividing by is in the numerator, or if you multiply and the negative number is first, UNLESS you have 2 negatives.

13. x ≥ -21 (Multiply by 7).

16. x ≤ -4 (Divide by 10).

Answer:

you need to show us the graph

Answer:

Yes

Step-by-step explanation:

Answer:

The probability of an event can only be between 0 and 1 and can also be written as a percentage. ... If P ( A ) > P ( B ) P(A) > P(B) P(A)>P(B)P, left parenthesis, A, right parenthesis, is greater than, P, left parenthesis, B, right parenthesis, then event A has a higher chance of occurring than event B.

so that means yes

Answer:

Option (A)

Step-by-step explanation:

Graph attached shows a function that models the value V of a stock portfolio as a function of time.

y-values on the graph shows the value of V and x-values represent the time.

Lowest point of the curve shows the minimum value of V and highest point of the curve shows the maximum value.

Maximum value of the function → 6.93 at t = 4

Minimum value of the function → 1.05 at t = 15

Therefore, Option (A) will be the answer.  

Answer:

Step-by-step explanation:

Let the number be x

Then we have the equation

let the number be "x" .

now according to the given question ;

Answer:

the answer is £1.44

Step-by-step explanation:

hope this helps

Answer:

The average price of a ticket originating in Chicago using United Airlines is $1212.40.

Step-by-step explanation:

The data provided is as follows:

                    United Air France British

Chicago         1063              1314          1442

                      1299             1493           1413

                       995             1443          1063

                      1299             1577          1442

                      1406             1314          1575

London         1015             1374          1603

                       856              977           1531

                       802             1043          1079

                       850             1070           807

                       935             1428           870

The data for the price of a ticket originating in Chicago using United Airlines is:

Chicago = {1063, 1299, 995, 1299, 1406}

Compute the average price as follows:

[tex]\bar X=\frac{1}{n}\sum X[/tex]

   [tex]=\frac{1}{5}\times [1063+1299+995+1299+1406]\\\\=\frac{6062}{5}\\\\=1212.40[/tex]

Thus, the average price of a ticket originating in Chicago using United Airlines is $1212.40.

Answer:

The medium is the middle of something. More like math thought. So what even the numbers are it will be the middle.

Step-by-step explanation:

Answer: Any item that can be traded for another item.

Step-by-step explanation: took the quiz

Answer:

Options 1) and 3) are correct.

Step-by-step explanation:

R={(A,B)|A⊆B}

Reflexive:

As A⊆A,  [tex](A,A)[/tex]∈ R.

So, R is reflexive

Symmetric:

Let [tex](A,B)[/tex]∈ R. So, A⊆B

Take [tex]A=\{1,2\}\,,\,B=\{1,2,3,4\}[/tex]

Here, A⊆B but B⊄A

So, [tex](B,A)[/tex]∉ R

R is not symmetric

Transitive:

Let [tex](A,B)[/tex]∈ R and [tex](B,C)[/tex]∈ R

So, A⊆B and B⊆C.

Therefore, A⊆C

So,

[tex](A,C)[/tex]∈ R

Hence, R is transitive.

Option 1) is correct.

Antisymmetric:

Let (A,B)∈R and (B,A)∈R

So, A⊆B and B⊆A

Hence, A = B

So, R is antisymmetric

Option 3) is also correct.

Answer:

hope it helped you

Step-by-step explanation:

Standard of living refers to the level of wealth, comfort, material goods, and necessities available to a certain socioeconomic class or geographic area. Quality of life, on the other hand, is a subjective term that can measure happiness.

Answer:

D( consumer enjoy  desired goods

Step-by-step explanation:

just did the quiz

Answer:

Step-by-step explanation: C. 2x+3=1/2(4x+2)+2 hopes this helps:)

The equations that are identities are option B x – 4(x + 1) = –3(x + 1) + 1 and option C 2x + 3 = 1/2(4x + 2) + 2.

To check which equation is an identity, we need to simplify each equation and see if it is true for all values of x.

A. 3(x – 1) = x + 2(x + 1) + 1

Expanding the right side:
3(x – 1) = x + 2x + 2 + 1
3x – 3 = 3x + 3-3 = 3

This is a contradiction and cannot be true for any value of x. Therefore, option A is not an identity.

B. x – 4(x + 1) = –3(x + 1) + 1
Expanding both sides:
x – 4x – 4 = –3x – 3 + 1
-3x – 3 = -3x – 3

This equation simplifies to -3x - 3 = -3x - 3, which is true for all values of x. Therefore, option B is an identity.

Similarly,

Option C is an identity.

Option D is not an identity.

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Answer:

y = 1/2x + 2.5

Step-by-step explanation:

First we want to plug it into the [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. This gets us 6-2/7-(-1) which solves to 4/8 which simplifies to 1/2. This gives us the slope. Now, when using slope intercept form y = mx + b, we can plug our newly found slope in for m and get y = 1/2x + b. To find b plug in any point on the line into the equation, I chose (7,6) because we are given that, and both numbers are positive. Now plug those in for x and y. 6 = 1/2(7). Solve, and get 2.5. are final equation is

y = 1/2x + 2.5

Answer:

the first one

The number line which can be used to find the distance between (4, -1) and (8,-1) is 1

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

[tex]D = √[(x-p)² + (y-q)²] D = \sqrt{(x-p)^2 + (y-q)^2} \: \rm units.[/tex]

Given the points;

(x1, y1) = (4, -1)

(x2, y2) = (8, -1)

Here, we have the same values of y for both points.

This means that the line that contains both points is a horizontal line.

To find the distance, apply the formula:

[tex]d= \sqrt{(x2-x1)^{2} + (y2-y1)^{2} }[/tex]

Since they have the same y values, the number line to represent the distance between both points must have the points 4 and 8;

Hence, we have;

 [tex]d= \sqrt{(8-4)^{2}+(-1+1)^{2} }[/tex]

   [tex]d= \sqrt{4^{2} + 0^{2} }[/tex]

     d= 4

The distance between both points is 4;

Therefore, the number line that can be used to find the distance between both points is the number line in option A.

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Answer:

3

Step-by-step explanation:

v=1*3

Answer:

3

Step-by-step explanation:

Multiply each side by 3 and you get 3

v=1*3=3

v=3

Answer:

4 5/12

Step-by-step explanation:

Convert to mixed fraction 7/4 + 8/3

Find common denominator, 12

21/12 + 32/12

add numerators  (21+32)/12 = 53/12

reduce fraction 4 5/12

Answer: The unit rate is

116 ​calorie(s) per cup

and

There are 464 calories in 4 cups of the cereal

Answer:

3/4 of a banana

Step-by-step explanation:

3 divided by 4 = 3/4

Answer:

5. 4

6. ?

7. c- 8

8. b-13

9. ?

10. d. 12

Step-by-step explanation:

i hope this helps, sorry for the question marks :)

Answer:

None of the options are correct, but I got g(x)=1/2x+2.

Step-by-step explanation:

You start with the equation. You first need to change f(x) to y, and switch the x and y values. After this, your equation would be x=2y-4. Then, you need to icolate the y value, and to do that you first cancel out the four by adding it to both sides, and now your equation should be x+4=2y. The second step in icolating the y value is dividing everything in the equation by two. Now that the y is icolated, you equation should be y=1/2x+2. You then change the y to be g(x), and that's how I got my answer, g(x)=1/2x+2. You should ask your teacher about this, becuase from my calculations, none of the given responses would be correct. Sorry if that doesn't help you at all but yeah

Answer:

D, g(x) = 1/2 x + 2

Step-by-step explanation:

The second answer IS ONE TO ONE

Answer:

900,000

Step-by-step explanation:

Answer:

Explained below.

Step-by-step explanation:

The rules of the deal are as follows:

(a)

The correct option is: "the money you win".

(b)

The random variable X denotes the amount won or lost.

(c)

The value of X are as follows:

X = {-$6, $5 and $10}

(d)

The probability function of X is as follows:

P (X = 10) = 1/6

P (X = 5) = 1/3

P (X = -6) = 1/2

(e)

Compute the expected value as follows:

[tex]E(X)=\sum x\times P(X=x)\\[/tex]

         [tex]=(10\times\frac{1}{6})+(5\times\frac{1}{3})+(-6\times\frac{1}{2})\\\\=0.333333\\\\\approx $0.33[/tex]

Thus, the average winnings per game is $0.33.

(f)

Since the expected value of the game is a positive amount, the deal will not  lead to me paying up.

Thus, you take the deal.

Answer:

Sarah multiplied the denominator by the denominator and the numerator by the numerator instead of finding the cross products. The equation should be 5x = 42, so the cost should be $8.40.

Step-by-step explanation:

Can I get brainliest?