Use synthetic division to solve [tex]\frac{3x^{4} +6x^{3} +2x^{2} + 9x + 10 }{x+2}[/tex]. What is the quotient?

Answers

Answer 1
3x^2+2x+5

Explanation:

3x^4+6x^3+2x^2+9x+10/x+2

(x+1)(x+2)(3x^2-3x+5)/x+2


3x^2+2x+5

Related Questions

What is the product of 7/9 and 1/4

Answers

Answer:

7/36

Step-by-step explanation:

7/9* 1/4

Multiply the numerator

7*1 = 7

9*4 = 36

Put the numerator over the denominator

7/36

Answer:

Brunliest plz

Step-by-step explanation:

7/9 x 1/4 = 7/36

What is the slope of the line shown below?

A. - 1/2

B. 1

C. -1

D. 1/2

Answers

Answer:

C. -1

Step-by-step explanation:

Slope is: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (1,7) and (3,5).

[tex]m=\frac{5-7}{3-1} =\frac{-2}{2} =-1[/tex]

The slope is -1, and therefore, Option C should be the correct answer.

The Side-Side-Side (SSS) similarity theorem states that triangles are similar if the corresponding sides of the triangles are congruent.

True

False

Answers

Answer:

False

Step-by-step explanation:

When triangles are similar, their sides are proportional, not congruent.

I hope this helps :))

That would be true because of the definition of the SSS Similarity Theorem

G(x)=-2x-9 what is g(-7)

Answers

Answer:

g(-7)=5

Step-by-step explanation:

-2(-7)-9

14-9=5

Answer:

5

Step-by-step explanation:

G(x)=-2x-9

Let x = -7

g(-7) = -2(-7) -9

       = 14 - 9

       = 5

a.
If f(x) = 25 - xand g(x) = 5 - , which is the rule of function (8 + 9)(x)?
-x2 + x+ 20
5 + x
x? - 5x2 - 25x + 125
--X2 - x + 30
b.
C.
d.
Please select the best answer from the choices provided

Answers

Answer:

The answer is D.

Step-by-step explanation:

You have to add both functions together :

[tex]f(x) = 25 - {x}^{2} [/tex]

[tex]g(x) = 5 - x[/tex]

[tex](f + g)(x) = 25 - {x}^{2} + 5 - x[/tex]

[tex](f + g)(x) = 30 - {x}^{2} - x[/tex]

[tex](f + g)(x) = - {x}^{2} - x + 30[/tex]

Describe the relationship between the area of a circle and its circumference.
The is times the times the circumference.

Answers

Answer:

The area is twice the circumference

Area = 2 * circumference

Step-by-step explanation:

Proof:

r = 2

Circumference = 2[tex]\pi[/tex]r

Circumference = 12.566

Area = [tex]\pi[/tex]r^2

Area = 25.132

25.132/12.566 ≈ 2

Answer:

the (area) is (1/2) times the (radius) times the circumference.

Step-by-step explanation:

i dont know how to explain it exactly but i found the cerect answer.

Would somebody help with this?

Answers

Answer:

Both A and D

Step-by-step explanation:

Not absolutely 100%, but I think it's the answer.

Find the volume of the specified cone. Use 3.14 for Pi, and round your answer to the nearest whole number. Diameter = 5 cm, Height = 9 cm a. 59 cu. cm b. 25 cu. cm c. 38 cu. cm d. 19 cu. cm

Answers

Answer:

a

Step-by-step explanation:

r = 2.5 cm

V=  3.14[tex](2.5 cm)^{2}[/tex](9 cm)/3 = [tex]59 cm^{3}[/tex]

Answer:

a

Step-by-step explanation:

Please answer this correctly

Answers

Answer

[tex] {10}^{ - 6} \\ please \: see \: the \: attached \: picture \: for \: full \: solution \\ hope \: it \: helps[/tex]

Equilateral triangle ABC has a perimeter of 96 millimeters. A perpendicular bisector is drawn from angle A to side BC at point
M.
What is the length of MC?
16 mm
0 24 mm
O 32 mm
O 48 mm

Answers

Answer:

Correct option: First one -> 16 mm

Step-by-step explanation:

The equilateral triangle has its three sides with the same length.

So if the perimeter is 96 mm, we have:

[tex]Perimeter = 3*side[/tex]

[tex]3*side = 96[/tex]

[tex]side = 32 mm[/tex]

The segment MA is the height of the equilateral triangle, and its length can be calculated with the equation:

[tex]height = \frac{side * \sqrt{3}}{2}[/tex]

[tex]height = 16\sqrt{3}[/tex]

Using the Pythagoras' theorem in the triangle ACM, we have:

[tex]side^2 = MC^2 + height^2[/tex]

[tex]1024 = MC^2 + 768[/tex]

[tex]MC^2 = 256[/tex]

[tex]MC = 16\ mm[/tex]

Correct option: First one

Answer:

(A) 16mm

Step-by-step explanation:

Which table represents exponential growth?
:))))

Answers

Answer: x: 1,2,3,4 y: 2,4,8,16

Step-by-step explanation:

Exponential growth means that the rate of the line of a graph or chart is rapidly growing in size or number.

1 | 2

2 | 4

3 | 8

4 | 16

5 | 32

6 | 64

etc.

Answer:

option B edg 2021

Step-by-step explanation:

im too lazy to explain but its option B

Pls help me with this question I’m trying to Anwser

Answers

Answer:Wish i could help, but I'm just as confused.

Step-by-step explanation:

Urgent! please help!
(row 1-2) Select if each situation represents a nonlinear function, a linear function, or not a function.


Answers

Answer:

Table 1 is definetely non-linear thats because if 10 - 8

then you multiply both sides by 4 you get 40 - 32 but instead of 32 it says 23.

Table 2 is also non-linear because if 8 - 4 that means y=x/2 but for 20-16 it should be 20-10 if it was linear but its not

BOTH ARE NON-LINEAR

The Expression3(x-9) equivalent to

Answers

Answer:

3x - 27

Step-by-step explanation:

3(x-9)

Distribute

3x * -3*9

3x - 27

Answer:

Brainliest!

Step-by-step explanation:

it is equivialent to 3x-27

just simplify the equatoin

please help me, I just needa pass this lesson!!!

Answers

Answer:

Plot the points (0,2) and (3,3)

Step-by-step explanation:

(0,2) is the y-intercept and the slope is always rise over run so go up 1 unit and right 3 units, that gets you to (3,3)

you could also plot any point other than (3,3) that is on the same line

For a musical show, x children were present. There were 60 more adults than children. An adult paid N5 and a child N2.

If a total of N1294 was

collected, calculate the value

of x *

Answers

Answer:

142

Step-by-step explanation:

5*(x+60)+2*x=1294

5x+5*60+2x=1294

7x+300=1294

-300       -300

        7x=994

x=994:7

x=142

142

Step-by-step explanation:

5(60+x) +2(x) = 1294

300+5x+2x= 1294

7x= 994

X= 142

Find the common ratio for the following sequence. 0.1, 0.01, 0.001, ... 0.01 0.1 0.001

Answers

Answer:

[tex]\frac{1}{10}[/tex]

Step-by-step explanation:

[tex]a_1 = 0.1\\a_2 = 0.01\\a_3 = 0.001[/tex]

[tex]r = \frac{a_2}{a_1}[/tex]

[tex]r = \frac{0.01}{0.1}[/tex]

[tex]r=0.1[/tex]

z=5 is a solution choose 3 answers
A
8=z+3


B
z-1=6z


C
20=40÷z


D
12z=60


E
12+z=60

Answers

Answer:1. (a) 8=z-3 ---> z=5

2.(d) 12z=60----> z=5

3.(e) 12+z=17 ----> z= 5

Step-by-step explanation:

Answer:

A and D

Step-by-step explanation:

A. 8 = z + 3        →  subtract 3 from both sides:

    5 = z

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

B. z - 1 = 6z        →  subtract z from both sides:

     -1 = 5z          →  divide both sides by 5:

    -0.2 = z

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

C. 20 = 40 ÷ z    →  multiply both sides by z:

    20z = 40       →  divide both sides by 20:

       z = 2

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

D. 12z = 60         →  divide both sides by 12:

     z = 5

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

E. 12 + z = 60      →  subtract 12 from both sides:

      z = 48

Find t12 term in an arithmetic progression having t3 = 10 and t10 = −4 .

Answers

Answer:

t12= -8

Step-by-step explanation:

t3

a+2d=10 (1)

t10

a+9d=-4. (2)

From (1)

a=10-2d. (3)

Sub into (3) into equ (2)

a+9d=-4

10-2d+9d=-4

10+7d=-4

7d=-4-10

7d=-14

Divide both sides by 7

d=-14/7

d= -2

10=a+2d

10=a+2(-2)

10=a-4

10+4=a

14=a

a=14

t12=a+11d

= 14+11(-2)

=14-22

= -8

t12= -8

Factor the polynomial completely.
(y - 8)^2 - 16

Answers

Answer:

  (y -12)(y -4)

Step-by-step explanation:

This can be factored as the difference of squares:

  (y -8)² -16 = (y -8)² -4² = (y -8 -4)(y -8 +4) = (y -12)(y -4)

HELPP PLEASE What is the value of x in the diagram below?
48
18
O A. 4
B. 6
C. 5
O D. 3
SUBMIT

Answers

Answer:

x = 3

Step-by-step explanation:

The triangles are similar, using ratios

x            8

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

18              48

We can use cross products to solve

48x  = 8*18

48x = 144

Divide each side by 48

48x/48 = 144/48

x =3

A counterexample for sinytany=cosy is 0 degrees
true or false?

Answers

Answer:

False

sin (y) / cos (y) = cos (y)

cos (y) could be any value from -1 to 1.

Step-by-step explanation:

Answer:

false

Step-by-step explanation:

Most dietitians recommend that adults consume 20 to 30 percent of their daily caloric intake in protein. Based on this recommendation, what is the minimum amount of calories from protein an adult should consume from an 1,800 calorie diet?

Answers

Answer:

360-540 calories

the graph below describes the journey of a train between two cities

Answers

Answer:

Step-by-step explanation:

To find : Acceleration in first 15 min . Distance between two cities  Average speed of journey

Solution:

Each horizontal block is 1/8 hr = 7.5 min

Each vertical block is 10 km/hr

Time                    Velocity  km/hr

0 Min  ( 0 hr)            0

15 Min (1/4 hr)           50

45 Min (3/4 hr)         50

60 MIn  ( 1 hr)            100

90 Min  ( 3/2 hr)        100

120 Min ( 2hr)            0

Acceleration in first 15 min  (1/4 hr)  =  (50 - 0)/(1/4 - 0)  = 50/(1/4)

= 200  km/h²

Distance between two cities

= (1/2)(0 + 50)(1/4 - 0)  + 50 * (3/4 - 1/4)  + (1/2)(50 + 100)(1 - 3/4)  + 100 * (3/2 - 1) + (1/2)(100 + 0)(2 - 3/2)

=  25/4  + 25 + 75/4   + 50 + 25

= 125

Distance between two cities = 125 km

Average Speed of journey = 125/2  = 62.5  km/hr

Acceleration in first 15 min = 200  km/h²

Distance between two cities = 125 km

Average Speed of journey =  62.5  km/hr

Hope this helps..

Answer:

200km/h^2, 125km, 62.5km/h

Step-by-step explanation:

For part a) just use the acceleration formula (change in velocity/time). For part b), remember that distance traveled is the area under the graph. This is because displacement is the integral of velocity, meaning that you integrate to find the area (i.e. displacement). Lastly, for part c), just apply speed = distance/time because in this case, acceleration is constant.

George deposit is $750 into an account that earns 7% interest which is compounded two times per year how much money was George have in his account in five years

Answers

Answer:

$1475.40

Step-by-step explanation:

Since the interest is two times per year for 5 years, do this 10 times:

1) 750*0.07=52.5

750+52.5=802.5

2) 802.5*0.07=56.18

802.5+56.18=858.69

3) 858.69*0.07=60.11

858.69+60.11=918.79

4) 918.79*0.07=64.32

918.79+64.32=983.11

5) 983.11*0.07=68.82

983.11+68.82=1051.93

6) 1051.93*0.07=73.64

1051.93+73.64=1125.57

7) 1125.57*0.07=78.79

1125.57+78.79=1204.36

8) 1204.36*0.07=84.31

1204.36+84.31=1288.67

9) 1288.67*0.07=90.21

1288.67+90.21=1378.88

10) 1378.88*0.07=96.52

1378.88+96.52=1475.40

Can some one help me plz trying to figure out? Need help ASAP

Answers

Answer:

[tex] a. = -35 \\ b. = 9a + 1 \\ c. = -35 [/tex]

Step-by-step explanation:

[tex]a. \\ = > \: 7a - 1 + 2a + 2 \\ \\ = > 7( - 4) - 1 + 2( - 4) + 2 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (a = - 4) \\ \\ = > - 28 - 1 - 8 + 2 \\ \\ = > - 37 + 2 \\ \\ = > - 35 \\ \\ \\ b. \\ = > 7a - 1 + 2a + 2 \\ \\ = > 7a + 2a - 1 + 2 \\ \\ = > 9a + 1 \\ \\ \\ c. \\ = > 9a + 1 \\ \\ = > 9( - 4) + 1 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (a = - 4) \\ \\ = > - 36 + 1 \\ \\ = > - 35[/tex]

please can you guy help for this questiong
please

Answers

Answer:

Step-by-step explanation:

From the figure attached,

Given: ∠P ≅ ∠S

          TQ ≅ RQ

To Prove : ΔQRS ≅ ΔQTP

        Statements                          Reasons

1).     ∠P ≅ ∠S, TQ ≅ RQ                  Given

2).    ∠RQS ≅ ∠TQP                  Reflexive property

3).     ΔQRS ≅ ΔQTP                           AAS

A caterer prepares three times as many pizzas as she usually prepares for a large party. The caterer usually prepares 4 pizzas. The caterer also estimates that each party guest will eat 1/3 of a pizza. Drag and drop each expression into the correct boxes to complete the explanation.
The expression that represents how many guests the pizzas can serve is (blank).
How many party guests will the pizzas serve? Drag and drop the number of guests into the box.(answer)
The pizzas can serve guests.

Answers

Answer:

So if each person eats 1/3 pizzas. And he makes 4 pizzas. There are 3 1/3s in 1 pizza. 3*4 = 12.

The answer is 12 guests

Identify whether the relationship between a and b in the image below is complementary, or linear pair/supplementary.

I’m thinking it’s complementary?

Answers

Answer:

Complementary angles.

Step-by-step explanation:

Complimentary angles means sum of angles = 90°

Supplementary angles of linear pair means sum of pair of angles = 180°

As shown in the picture attached, sum of both the angles 'a' and 'b' is equal to 90°,

a + b = 90°

Angles 'a' and 'b' will be complementary angles.

Which graph shows line symmetry about the y-axis?

Answers

Answer:

1st one does

Step-by-step explanation:

There is no graph which shows line symmetry about the y-axis from the provided option, as no option follow the rule of symmetry about y-axis.

When a graph is symmetry about the y-axis?

A graph is symmetry about the y-axis, when for a point a,b on the graph, there is another point such that (-a,b). It is the reflected point of the graph about the y-axis.

The graph which is symmetry about y-axis is attached below.

In the given image,

The first graph is not symmetry about the y axis as it does not follow the rule (x,y)-->(-x,y). In the second graph, the graph shows a parabolic function, but it is not showing symmetry about the y-axis.

Thus, there is no graph which shows line symmetry about the y-axis from the provided option, as no option follow the rule of symmetry about y-axis.

Learn more about the symmetry of graph here;

https://brainly.com/question/5960559

#SPJ2

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