A student divided f(x) = 3x3 + 8x2 + 5x – 4 by x + 2 and found the remainder was r = -6. Based
on the remainder theorem, what can be concluded about f(x)?

Answer:

4.50

Step-by-step explanation:

water + pretzels =total

5(1.50)+    5x      =30

7.50+5x=30

5x=22.50

x=4.50

Answer:

sorry I can't help you I can't see all the eqaution

Step-by-step explanation:

Answer:

Step-by-step explanation:

A bag contains 8 red marbles, 3 blue marbles and 7 green marbles.

Total = 18 marbles.

Probability of drawing three red marbles = probability of drawing one red without replacement + probab of drawing another without reeplacement + probab of drawing a third without replacement.

Probability of drawing three red marbles = 8/18 + 7/17 + 6/16 = 0.4444 + 0.4118 + 0.3750 = 1.2312.

Answer:

D)15m³

Step-by-step explanation:

the given ratio tells us that the Volume of figure-B is three times as much as the Volume of figure-A

so we acquire:

[tex] \displaystyle A _{ \text{figure - B}} = A _{ \text{figure - A}} \times 3[/tex]

substitute the given volume of the figure-A:

[tex] \displaystyle A _{ \text{figure - B}} =5 {m}^{3} \times 3[/tex]

simplify multiplication:

[tex] \displaystyle A _{ \text{figure - B}} =15 {m}^{3} [/tex]

hence, our answer is D)

Answer:

-2x-6=-2x-6

-6=-6

infinity many solutions

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

All Real Numbers

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

41 x 5 = 205

20% x 5 = 100%

Answer:

Step-by-step explanation:

50+70=120

180-120=60

I'm pretty sure the answer is 60

Answer:

x²+2x+7-21=0

x²+2x-14. =0

x²+2x. =14

x²+2x+1. =14+1

(X+1)². =15

X+1. =+/-√15

X=-1+/-√15

X=-1+3.872983346207

=2.872983346207(greatest solution) round it as possible

X=-1-3.872983346207

=-4.872983346207

Answer:

y - 4 = (4/3)(x - 1)

Step-by-step explanation:

point slope form is

y - y1 = m(x - x1)

m is the slope

(x1, y1) is a point on the line

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

for m = 4/3 and (x1, y1)  = (1, 4)

y - 4 = (4/3)(x - 1)

Answer:

Socio 1 recibirá Q. 10,690, Socio 2 recibirá Q. 5,345, Socio 3 recibirá Q. 13,655, Socio 4 recibirá Q. 11,285 y Socio 5 recibirá Q. 14,255.

Step-by-step explanation:

Dado que en una sociedad participan 5 socios, colocando todos capitales iguales, lo único que el primer socio estuvo 1 año y medio, el segundo 9 meses, el tercero 5 meses mas que el primero, el cuarto 1 año 7 meses y el quinto 2 años, para determinar cuánto le toca a cada socio de una utilidad de Q. 55,230.00 se deben realizar los siguientes cálculos:

Socio 1 = 1.5 años

Socio 2 = 0.75 años

Socio 3 = 1.916 años

Socio 4 = 1.583 años

Socio 5 = 2 años

Total = 1.5 + 0.75 + 1.916 + 1.583 + 2 = 7.75

Socio 1 =

7.75 = 100

1.50 = X

1.50 x 100 / 7.75 = X

19.35 = X

55,230 x 0.1935 = 10,690

Socio 2 =

7.75 = 100

0.75 = X

0.75 x 100 / 7.75 = X

9.68 = X

55,230 x 0.0968 = 5,345

Socio 3 =

7.75 = 100

1.916 = X

1.916 x 100 / 7.75 = X

24.72 = X

55,230 x 0.2472 = 13,655

Socio 4 =

7.75 = 100

1.583 = X

1.583 x 100 / 7.75 = X

20.43 = X

55,230 x 0.2043 = 11,285

Socio 5 =

7.75 = 100

2 = X

2 x 100 / 7.75 = X

25.81 = X

55,230 x 0.2581 = 14,255

Por lo tanto, Socio 1 recibirá Q. 10,690, Socio 2 recibirá Q. 5,345, Socio 3 recibirá Q. 13,655, Socio 4 recibirá Q. 11,285 y Socio 5 recibirá Q. 14,255.

Answer: 100

Explanation: triangle area is l x h ÷ 2 rectangle area is l x h. 4 x 3 =12÷2 +12÷2 =12 11x4x2= 88 88+ 12=100.

Answer:

31.4 is the answer......

Step-by-step explanation:

circumference=πd

Answer:

Step-by-step explanation:

let the numbers be x and y,then

x+y=18

x=18-y

also xy=-63

(18-y)y=-63

18y-y²=-63

y²-18y-63=0

y²-21y+3y-63=0

y(y-21)+3(y-21)=0

(y-21)(y+3)=0

y=21,-3

when y=21

x=18-21=-3

when y=-3

x=18-(-3)=18+3=21

so numbers are -3 and 21.

Answer:

7

Step-by-step explanation:

9 - 2 = 7

7 + 9 = 16

Mark as Brainliest

Answer:

Lightning and Eagles

Step-by-step explanation:

14:7 can be rewritten as 2:1 (Factor out 7)

12:6 can be rewitten as 2:1 (Factor out 6)

Both are 2:1

-- Gage Millar, Algebra 2 Tutor

Answer:

D.

Step-by-step explanation:

when you simplify 14:7 you get 2:1 and if you do the same to eagles(12:6) you will get the Same answer( 2:1 )as lightning

Answer:

B

Step-by-step explanation:

-x - 1 = x^2 + x

x^2 + 2x + 1 = 0

(x+1)(x+1) = 0

x = -1 (double soution)

y = 1-1 =

y =0

(-1,0) = double solution

Answer:

11 patients were satisfied with neither and 23 patients were satisfied with only the medical treat

Step-by-step explanation:

trust me i'm Asian

Answer:

36

Step-by-step explanation:

The numbers given represent an arithmetic series with a common difference of -5. The formula to find the nth term of an arithmetic sequence is:

a + (n - 1)d

where a is the first term and d is the common difference. We can substitute our values in:

261 + (46 - 1)(-5)

261 + (45)(-5)

261 + (-225)

36

Answer:

36

Step-by-step explanation:

Have a good day :)

Answer:

Each friend only got 1/14 of the pizza.

Step-by-step explanation:

Each friend gets one slice of pizza, and there are 7, so you'd think just do 1/7 and that is the answer. However, it is talking about after the party where only have of the pizza is left. So you have to do 1/7*1/2 which equals 1/14.

Range: 19

Interquartile range: 6.5

Variance: 44.86

Standard deviation: 6.70

Given set:

27, 25, 20, 15, 30, 34, 28, 25.

(i) Range is the difference between the largest value and smallest value in a given data.

In the data above, the;

largest value = 34

smallest value = 15

Range = largest - smallest

Range = 34 - 15

Range = 19

(ii) Interquartile range is the difference between the median (Q₁) of the lower half of the given data, and the median (Q₃) of the upper half of the given data. i.e Q₃ - Q₁.

This should be done after ordering the given data in ascending order.

Ordering the above data gives:

15, 20, 25, 25, 27, 28, 30, 34

In the data above;

lower half = 15, 20, 25, 25

upper half = 27, 28, 30, 34

Find median (Q₁)  of the lower half

Since there are even number of data, the median is the average of two middle numbers (20 and 25) i.e.

Q₁ = [tex]\frac{20+25}{2}[/tex] = [tex]\frac{45}{2}[/tex] = 22.5

Find median (Q₃)  of the upper half

Since there are even number of data, the median is the average of two middle numbers (28 and 30) i.e.

Q₃ = [tex]\frac{28+30}{2}[/tex] = [tex]\frac{58}{2}[/tex] = 29

Interquartile range = Q₃ - Q₁

Interquartile range = 29 - 22.5

Interquartile range = 6.5

(iii) Variance is the measure of variability of a given set of data. It is calculated by following these steps:

=> First find the mean of the data by summing the numbers and dividing by the number of numbers. i.e

mean(x) = [15 + 20 + 25 + 25 + 27 + 28 + 30 + 34] / 8

mean(x) = [204] / 8

mean(x) = 25.5

=> Next, get the mean deviation by subtracting the mean from each individual value in the given set of data. i.e

15 - 22.5 = -7.5

20 - 22.5 = -2.5

25 - 22.5 = 2.5

25 - 22.5 = 2.5

27 - 22.5 = 4.5

28 - 22.5 = 5.5

30 - 22.5 = 7.5

34 - 22.5 = 11.5

=> Next, find the square of each of the results obtained above. i.e

(-7.5)² = 56.25

(-2.5)² = 6.25

(2.5)² = 6.25

(2.5)² = 6.25

(4.5)² = 20.25

(5.5)² = 30.25

(7.5)² = 56.25

(11.5)² = 132.25

=> Next, add all the results above together as follows;

56.25 + 6.25 + 6.25 + 6.25 + 20.25 + 30.25 + 56.25 + 132.25 = 314

=> Now, obtain the variance by dividing the result above one less than the number of numbers.

The number of numbers is 8. One less than this gives 7.

Therefore,

Variance = 314 / 7

Variance = 44.86

(iv) Standard deviation is the measure of how the numbers in the given data are spread out. It is calculated as the square root of variance.

Therefore,

Standard deviation = √variance.

Variance has been calculated above.

Standard deviation = √44.86

Standard deviation = 6.70

Answer:

<COB = 50°

Step-by-step explanation:

We can say that m<AOC + m<COD + m<DOB = 180° because the three mentioned angles form a straight line. We can substitute to get:

3x + 94 + x + 18 + 2x - 4 = 180

Then, we can combine like terms:

6x + 108 = 180

6x = 72

x = 12

We can see that m<COB is the sum of m<COD and m<DOB. We can wrote an equation to model the situation:

m<COB = m<COD + m<DOB

m<COB = x + 18 + 2x - 4

m<COB = 3x + 14

We have the value of x, so we can substitute that in:

<COB = 3(12) + 14

<COB = 36 + 14

<COB = 50°

Answer:

3. (-48) devide 48 = -1 class 7th Chapter integer

The answer is : -1

The value of the TWISTER is 14.

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

AT=4

CAT=6

CROW=8

BRAIN=10

From the arrangements,

The number  = 2 x (The number of words)

So, the word TWISTER has 7 words.

Substituting the value,

The number  = 2 x (The number of words)

The number  = 2 x (7)

The number = 14.

Therefore, the required number is 14.

To learn more about the multiplication;

https://brainly.com/question/19634536

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Answer:

The sum of x and y is a rational number.

Step-by-step explanation:

-5 + -4 = -9

-9 is a rational number