Use synthetic division to find the result when x3 + 3x2 – 21x – 28 is divided by
- 4.

Answers

Answer 1

= ×150

Step-by-step explanation:

×3+3×2-21×-28÷4 use BODMAS,now we start with division bcoz there isno bracket or of.-28÷4= -7 then we go to multiplication ×3+3×2-21×-7 .......3×2=6×3+6-21×-7......-21×-7 =147........then we finally add×3+147=×150

Related Questions

flooring lab for 143 math​

Answers

Answer:

rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrreeeeeeeeeeeeeeeeeeeeeeeeee

Step-by-step explanation:

Write an equation or inequality
1.) eight less than twice a number is more than 18.

Answers

Answer:

8 - 2n > 18

Step-by-step explanation:

8 less than 2 * a number so represent it with a variable 8 - 2*n

then more than so > 18

If GHJ is equal to LMK, with a scale factor of 5:6, find the perimeter of GHJ.
KL is 14, LM is 11, and KM is 17.

Answers

Answer:  Weeeell,  35

Step-by-step explanation:

1. By definition, the perimeter of a triangle is the sum of the lenght of each side.

2. Then, the perimeter of the triangle LMK is:

P_{LMK}=14+17+11\\P_{LMK}=42

3. If both triangles are congruent and the scale factor is 5:6 (Which you can rewrite as a fraction: 5/6), you must multiply the perimeter of the triangle   LMK by this scale factor.

4. Then, you have that the perimeter of the triangle GHJ is:

P_{GHJ}=42*\frac{5}{6}=35

What I have to say:

I hope I helped you, and pls mark brainliest. Have a great day BYYYE!!!!!

Si un conductor llena su tanque con $600 y recorre 250 kilómetros, ¿Cuántos kilómetros podrá recorrer con $350 de combustible? (Explica cómo llegaste a tu respuesta)6666

Answers

Answer:

145.83 kilómetros.

Step-by-step explanation:

Si un conductor llena su tanque con $600 y recorre 250 kilómetros, para determinar cuántos kilómetros podrá recorrer con $350 de combustible se debe realizar el siguiente cálculo:

600 = 250

350 = X

350 x 250 / 600 = X

87,500 / 600 = X

145.83 = X

Así, con $350 de combustible se podrán recorrer 145.83 kilómetros.

Which rule best represents the dilation that was applied to Figure S to create Figure T?
A (x,y) → (2x, 2y)
B (x,y) → (4x, 4y)
C (X,Y) (3x, ży)
D (X,Y) → (x, y)

Answers

Answer:

Step-by-step explanation:

Hgg

Use the algebraic description (x, y) ➡️ (x - 5, y + 2) for the points N (2, 2), P (4, 2) and Q(1, -1) and write the coordinates of N', P' and Q'

Answers

9514 1404 393

Answer:

  N'(-3, 4), P'(-1, 4), Q'(-4, 1)

Step-by-step explanation:

The transformation is telling you to subtract 5 from each x-coordinate, and add 2 to each y-coordinate.

why does my teacher gripe at me so much, she needs to understand that i have more on my plate then oddsey ware

Answers

Answer:

Your teacher must really like there job then.

Answer:

I think ur teacher loves it job

Step-by-step explanation:

Hope it helps u

FOLLOW MY ACCOUT PLS PLS


Kristl has saved 30%
of her tuition for
dance class. She
needs to have $600
save. How much has
she saved so far?

Answers

Answer:

$180

Step-by-step explanation:

A right triangle is shown with an angle that measures 60 degrees. The leg adjacent to the 60 degree angle is labeled 5. The leg opposite of the 60 degree angle is labeled x. The hypotenuse is labeled 10. Find the value of x. If your answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale.

Answers

Answer:

[tex]x = 5 \sqrt{3} [/tex]

Step-by-step explanation:

Please see the attached pictures for the full solution.

Find X (Someone Help)

Answers

Answer:

x=177

Step-by-step explanation:

vertically opp angles are equal so 149=x-28, to find x you do 149 +28 whiichis 177

X=177°

The vertical angle theorem states that the vertically opposite angles are the same, so

149=(x-28)
149+28=x
x=177

Solve |3x – 2| = |x + 1| Question 12 options: A) x = 3∕2 or x = 1∕4 B) No solutions C) x = 3 or x = –4 D) x = 1∕4

Answers

Answer:

x = 3/2

Step-by-step explanation:

Step (1) :

We should put like term togther:

3x - x = 2 +1

2x = 3

Step (2) :

Divide bothe side by 2:

2x/2 = 3/2

x = 3/2

Pls help 20 points

7th grade math

Answers

Answer:

no

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

How do u solve this?

Answers

Answer:

? = 2    Full Answer: 1/2

Step-by-step explanation:

A regular die has only 6 numbers: 1, 2, 3, 4, 5, & 6.

In those numbers, there are 3 odd numbers, and 3 even numbers. This would mean that the probability of getting an odd number would be 3/6.

But to simplify it, 3/6 ALSO equals 1/2

Answer:

1/2 is the answer

Step-by-step explanation:

A die has 6 possible outcomes: 1, 2, 3, 4, 5, 6

Out of these numbers 3 are odd numbers.

P(Event) = Number of favourable outcomes/ Total number of outcomes

P(odd) = 3/6

           = 1/2


Parents of students at a middle school
were randomly selected to participate
in a survey. Forty-two out of 60 parents
who were surveyed support a proposal to
buy new computers. There are a total of
456 parents with students at the middle
school. Which is the best estimate of the
number of those parents likely to support
the new proposal?
A. 182
B. 319
C. 365
D. 438

Answers

Answer:

(B). 319

Step-by-step explanation:

[tex]\frac{42}{60}[/tex] = [tex]\frac{x}{456}[/tex]

[tex]\frac{7}{10}[/tex] = [tex]\frac{x}{456}[/tex]

x = [tex]\frac{7*456}{10}[/tex] ≈ 319

The best estimate of the number of those parents likely to support the new proposal is 319. So the option is (B) 319.

What is constant of proportionality?

Firstly, there is proportional relationship.

Two values x  and  y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.

The constant k is called constant of proportionality.

Parents of students at a middle school were randomly selected to participate in a survey.

42 out of 60 parents who were surveyed support a proposal to buy new computers.

There are a total of 456 parents with students at the middle-school.

[tex]\dfrac{42}{60} = \dfrac{x}{456} \\\\\\x = \dfrac{42}{60} \times 456\\\\x = \dfrac{7}{10} \times 456\\\\x = 319[/tex]

Therefore, the best estimate of the number of those parents likely to support the new proposal is 319.

Learn more about directly inversely proportional relationship variable here:

https://brainly.com/question/13082482

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A school has 2 boys for every 3 girls in the 7th grade. There are 120 students. How many girls and boys are there?

Answers

Their is 48 boys and their os 72 girls
48 boys and 72 girls

How does 41.8 compare to 41.08?

Answers

Answer:

41.8 > 41.08

Step-by-step explanation:

Nixon receives an annual salary of $55,770. He receives 26 equal paychecks during the year. How much does he receive in each paycheck?

Answers

Answer:

2145

Step-by-step explanation: 55,770/26=2145

Answer:

answer = 2145 per paycheck

Step-by-step explanation:

..............:( halp

Answers

Answer:

a =-5, b= 2.5, 2a= the absloute value of -7 is 7, 2b= the absloute value of 1.8 is 1.8

Step-by-step explanation:

the absloute value is how far away from 0 a number is

Identify the maximum of the graph below. Type your answer by filling in the blanks below

Answers

Answer:

The maximum point of this function is (5,4).

Step-by-step explanation:

The maximum of a function is the maximum value that it can take.

Seeing the graph we can say that the maximum value of y occurs at x = 4. Here y = 5 corresponds to this value of x.

Therefore, the maximum point of this function is (5,4).

I hope it helps you!

26.) Using x as the unknown number, write the statement below as an equation.
The sum of twice a number and 7 is equal to the sum of the number and 6

Answers

Answer:

true

Step-by-step explanation:

Which equation has the greatest positive rate of change?
O y = x - 2
O y = 4x + 4
O y = 2x - 4
O y = 0

Answers

Answer:

y=4x+4

Step-by-step explanation:

It has the biggest slope of the equations of 4, and increases the most.

. The London Eye is a popular tourist attraction in London, England and is one of the largest Ferris Wheels in the world. It has a diameter of 135 meters and makes one revolution (counterclockwise) every 30 minutes. It is constructed so that the lowest part of the Eye reaches ground level, enabling passengers to simply walk on to, and off of, the ride. Find a sinsuoid which models the height h of the passenger above the ground in meters t minutes after they board the Eye at ground level.

Answers

Answer:

[tex]y=-67.5[cos(\frac{\pi}{15}t)-1][/tex]

Step-by-step explanation:

We can start solving this problem by doing a drawing of London Eye. (See attached picture).

From the picture, we can see that the tourists will start at the lowest point of the trajectory, which means we can make use of a -cos function. So the function will have the following shape:

[tex]y=-Acos(\omega t)+b[/tex]

where:

A=amplitude

[tex]\omega[/tex] = angular speed.

t= time (in minutes)

b= vertical shift.

In this case:

A= radius = 67.5 m

[tex]\omega=2\pi f[/tex]

where the frequency is the number of revolutions it takes every minute, in this case:

[tex]f=\frac{1}{30} rev/min[/tex]

so:

[tex]\omega=2\pi (\frac{1}{30})[/tex]

[tex]\omega=\frac{\pi}{15} rad/min [/tex]

and

b= radius, so

b=A

b=67.5m

so we can now build our equation:

[tex]y=-67.5cos(\frac{\pi}{15} t)+67.5[/tex]

which can be factored to:

[tex]y=-67.5[cos(\frac{\pi}{15}t)-1][/tex]

You can see a graph of what the function looks like in the end on the attached picture.

The required sinusoidal equation is  [tex]y = -67.5 (cos\dfrac{\pi t}{15} -1)[/tex]

Given that,

It has a diameter of 135 meters and makes one revolution (counterclockwise) every 30 minutes.

It is constructed so that the lowest part of the Eye reaches ground level, enabling passengers to simply walk on to, and off of, the ride.

We have to find,

A sinusoidal  which models the height h of the passenger above the ground in meters t minutes after they board the Eye at ground level.

According to the question,

The tourists will start at the lowest point of the trajectory, which means we can make use of a -cos function. So the function will have the following shape:

[tex]y = -Acos(wt) + b[/tex]

Where,  A=amplitude ,  [tex]\omega[/tex] = angular speed, t= time (in minutes) , b= vertical shift.

Then,

[tex]Radius = \dfrac{diameter}{2}\\\\Radius = \dfrac{135}{2}\\\\Radius = 65.5m[/tex]

The frequency is the number of revolutions it takes every minute is determined by the formula is,

[tex]\omega = 2\pi f[/tex]

Where,

[tex]f = \dfrac{1}{30} revolution \ per \ minute[/tex]

Then,

[tex]\omega = 2\pi \times \dfrac{1}{30}\\\\\omega = \dfrac{\pi }{15}\ radian \ per\ minute[/tex]

Here, The sinusoidal equation can be written as;

[tex]y = -67.5cos\dfrac{\pi t}{15} + 67.5\\\\y = -67.5 (cos\dfrac{\pi t}{15} -1)[/tex]

Hence, The required sinusoidal equation is  [tex]y = -67.5 (cos\dfrac{\pi t}{15} -1)[/tex]

To know more about Frequency click the link given below.

https://brainly.com/question/9661952

Which triangles are similar to AED? Please help!!!

Answers

I’ve had this question before and the answers were ABE and EFA

Answer:

DEF, EAD, or DEA

Step-by-step explanation:

this is because you can mix up the letters and still be a different combination with the same answer

plzzz zhelpppp plzzz​

Answers

Answer: true

Step-by-step explanation:

Answer:  true

Step-by-step explanation:

please help me i have to find a table but I don't know how to

Answers

Answer:

it is one of the bottom 2 I think:)

The manufacturer of a drink wishes to compare the taste appeal of the standard formula (formula A) with that of a new formula (formula B). Each of the four judges is given three glasses in random order, two containing formula A and the other containing formula B. Each judge is asked to state which glass he or she most enjoyed. Suppose that the two formulas are equally attractive. Let Y be the number of judges stating a preference for the new formula. What is the distribution of Y

Answers

Answer:

P(y) = 4Cy * (2/3)^y * (1/3)^4-y

Step-by-step explanation:

Two distinguishable categories ; A and B ;

Number of cups of formula A given to each judge = 2

Number of cups of formula B given to each judge = 1

Total number of cups = 3

P(formula A) = 2/3

P(formula B) = 1/3

Hence, Probability of each of the two formulas is the same for each judge

Number of judges = 4

Each outcome is independent

y = Number of judges who prefer the new formula

Since, it meets all requirements for a binomial probability distribution :

Hence. The distribution of y ;

4Cy * p(A)^y * p(B)^4-y

P(y) = 4Cy * (2/3)^y * (1/3)^4-y

What is the theoretical probability of rolling a multiple of 5 on a 50-sided die? _________

Answers

10/50 or 1/5
hope this helps :)
10/50 or 1/5 because you can just do 10/50 or you can take the zeros off and it can be 1/5 hope this helped!

Please help me!!!!!!! I really need this!

Answers

3x + 1 + 4 + 2x = 90°
5x + 5 = 90°
5x = 85°
x = 17°

The value of x is 17° due to the pair of angles being complementary.

What are complementary angles?

The complementary angles are defined as when pairing of angles addition to 90° then they are called complementary angles. There are two types of supplementary angles.

Adjacent angles: Adjacent angles are the type of supplementary angles. Adjacent angles have a common side and vertex, for example, a corner point. Their points do not overlap in any way. In other terms, adjacent angles are pairs of two angles next to each other.

We have been given that the pair of angles as

(3x + 1)° and (4 + 2x)°

Here, the pairing of angles sums up to 90° then they are called complementary angles.

So 3x + 1 + 4 + 2x = 90°

⇒ 5x + 5 = 90°

⇒ 5x = 85°

⇒ x = 17°

Therefore, the value of x is 17°.

Learn more about complementary angles here:

https://brainly.com/question/5708372

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Please show all work(open the question to see the image)

Answers

9514 1404 393

Answer:

  20

Step-by-step explanation:

The two angles shown are complementary. The corner angles in a rectangle are right angles: 90°.

  (4x -12) +(x +2) = 90

  5x = 100 . . . . . . collect terms, add 10

  x = 20 . . . . . . . . divide by 5

what is the recursive formula of the geometric sequence 1/2,3/4,9/8,27/16

Answers

Answer:

Step-by-step explanation:

A recursive geometric formula has the pattern:

[tex]A_n=A_{n-1}*r[/tex] where r is the common ratio. Before we write the formula, we need to find the value for r. This r value has to be the same between each consecutive number in the series. Because it's geometric, r is multiplied in (whereas it's added in if the sequence is arithmetic). To get from 1/2 to 3/4 we find the r value in this way:

[tex]\frac{x}{2}=\frac{3}{4}[/tex] where x/2 is the same as 1/2 x. Cross multiply to get 4x = 6 and x = 3/2. That means that if r is 3/2, then we can multiply every term in that sequence by 3/2 to get to the next term in line. 3/4 times 32 is 9/8. Therefore, r = 3/2 and the formula will be:

[tex]A_n=A_{n-1}*\frac{3}{2}[/tex]

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