The binomial (x+2) is a factor of ?

1). 2x^{2} -5+3
2). x^{2} +5x+18
3). x^{3} +5x^{2} + 18
4). x^{3} +5x+18

Answers

Answer 1

Answer:

4). [tex] x^{3} +5x+18 [/tex]

Step-by-step explanation:

The binomial (x+2) is a factor of [tex] x^{3} +5x+18. [/tex]

Since, (x + 2) is a factor.

So, x = - 2 is a root

Plug x = - 2 in [tex] x^{3} +5x+18 [/tex]

We find:

[tex] x^{3} +5x+18 [/tex]

[tex] =(-2)^{3} +5(-2)+18 [/tex]

[tex] =-8 - 10+18 [/tex]

[tex] = - 18+18 [/tex]

[tex] = 0 [/tex]

Since, at x = - 2 the value of the expression [tex] x^{3} +5x+18 [/tex] becomes zero.

Therefore, (x + 2) is a factor of [tex] x^{3} +5x+18 [/tex]


Related Questions

16, 4, 1.... Find the 6th term The first three terms of a sequence are given. Round to the nearest Thousand (if necessary).

Answers

The answer is 0.016. If you keep diving each number by 4, you will get that as the 6th term.

Have a great day :)

What’s the answer and can someone please explain it?

Answers

(10^4)^2
=10^4*2
=10^8

Geometry
Help please

Answers

Step-by-step explanation:

14x+y=60

4x-6= 10

4x= 16

x= 4

56+y=60

y= 4

Write the equation in standard form using integers.
y = - 2/3x -5
The equation in standard form is

Answers

The Answer is: 2x+3y=-15

45% of blank = 135 .

Answers

Answer:

60.75

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

yes because 135 is the same as 135

(a) An angle measures 51°. What is the measure of its complement?
(b) An angle measures 113°. What is the measure of its supplement?

Answers

Step-by-step explanation:

For a

Let the another angle be x then

x + 51° = 90° {being complementary angles }

x = 90° - 51°

x = 39°

For b

Let the another angle be x then

x + 113° = 180° {being supplementary angles }

x = 180° - 113°

x = 67°

3/2x3/4= -1/5

uh i need help

Answers

Answer:

I'm not smart but I think there's no solution

If you were to solve this it’s be -1/5

A polygon has perimeter 12 units. It is dilated with a scale factor of 3/4. What is the
perimeter of its image?
A. 9 units
B. 12 units
C. 16 units

Answers

9 because 12 x 0.75
—————

With the given scale factor, perimeter of polygon's image is 9 units. Therefore, option A is the correct answer.

Given that, the perimeter of a polygon = 12 units and the scale factor = 3/4.

What is scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

So, 3/4 = Dimensions of the new shape/12

= 3/4 × 12

= 3 × 3

= 9 units

With the given scale factor, perimeter of polygon's image is 9 units. Therefore, option A is the correct answer.

To learn more about the scale factor visit:

https://brainly.com/question/22312172.

#SPJ2

A streetlamp has a 20 ft shadow that makes a 40° angle with the ground. which expression represents the height of the street lamp in feet ?

Answers

Answer:

20 sin 40°  ≈ 12.86 ft

Step-by-step explanation:

Let the height of the street lamp be x

Opposite angle is 40° and the shadow, the hypotenuse of the formed triangle is 20 ft.

sin 40° = x/20x = 20sin 40°x ≈ 12.86 ft

In Las Vegas, Nevada, stores charge a 4.6% state sales tax and a 3.65% county sales tax. Yuki is purchasing a handbag priced at $220 before tax.
How much sales tax does Yuki pay for her handbag purchase?

Answers

Answer:

$18.15

Step-by-step explanation:

Yuki is paying tax of 4.6% + 3.65% = 8.25%

Converting to decimal form, that is 8.25/100 = 0.0825

Multiply that by the original sale price. 0.0825 x $220 = $18.15 exactly for tax.

The question asks for the tax, NOT for the total she will pay. Please don't get them mixed up.

With word problems, alwasy double check that you are answering what is actually asked.   :)

The circumference of a circle is 36 pi feet. What is the length of the radius of this circle?
a, 9 ft
b, 18 ft
c, 36 ft
d, 72 ft

the answer is b, I just did the quiz on edge2021

Answers

Answer: The answer is 18ft (B)

Step-by-step explanation: Got it correct on Egde 2021. Hope this helps!

Answer:

Answer i can confirm is B

Step-by-step explanation:

I took the quiz on edge

Q2 - With decimals
Work these simultaneous equations out
on paper and write down your answers.
The cost of 8 CDs and 7 DVDs is
$113.50.
The cost of 12 CDs and 8 DVDs is
$153.
a =
10a + 3b = 31
15a + 4b = 45
b =
m =
4m + 10n = 83
9m + 6 = 96
n =
p =
8p + 59 = 27
12p + 40 = 51
All the CDs are the same price and
all the DVDs are the same price.
q=
Find the cost of one of each.
6S + 7t = 42
S =
1 CD is $
8s + 3t = -1
t =
[8]
[4]
1 DVD is $

Answers

Answer:

Simplify the following algebraic expressions.

- 6x + 5 + 12x -6

2(x - 9) + 6(-x + 2) + 4x

3x2 + 12 + 9x - 20 + 6x2 - x

(x + 2)(x + 4) + (x + 5)(-x - 1)

1.2(x - 9) - 2.3(x + 4)

(x2y)(xy2)

(-x2y2)(xy2)

Solution

Group like terms and simplify.

- 6x + 5 + 12x -6 = (- 6x + 12x) + (5 - by

Solution

Use rules of exponential to simplify the numerator first.

(a b2)(a3 b) / (a2 b3) = (a4 b3) / (a2 b3)

Rewrite as follows.

(a4 / a2) (b3 / b3)

Use rule of quotient of exponentials to simplify.

= a2

Rewrite as follows.

(21 x5) / (3 x4) = (21 / 3)(x5 / x4)

Simplify.

= 7 x

(6 x4)(4 y2) / [ (3 x2)(16 y) ]

Multiply terms in numerator and denominator and simplify.

(6 x4)(4 y2) / [ (3 x2)(16 y) ] = (24 x4 y2) / (48 x2 y)

Rewrite as follows.

= (24 / 48)(x4 / x2)(y2 / y)

Simplify.

= (1 / 2) x2 y

Factor 4 out in the numerator.

(4x - 12) / 4 = 4(x - 3) / 4

Simplify.

= x - 3

Factor -5 out in the numerator.

(-5x - 10) / (x + 2) = - 5 (x + 2) / (x + 2)

Simplify.

= - 5

Factor numerator and denominator as follows.

(x2 - 4x - 12) / (x2 - 2x - 24) = [(x - 6)(x + 2)] / [(x - 6)(x + 4)]

Simplify.

= (x + 2) / (x + 4) , for all x not equal to 6

Solve for x the following linear equations.

2x = 6

6x - 8 = 4x + 4

4(x - 2) = 2(x + 3) + 7

0.1 x - 1.6 = 0.2 x + 2.3

- x / 5 = 2

(x - 4) / (- 6) = 3

(-3x + 1) / (x - 2) = -3

x / 5 + (x - 1) / 3 = 1/5

Solution

Divide both sides of the equation by 2 and simplify.

2x / 2 = 6 / 2

x = 3

Add 8 to both sides and group like terms.

6x - 8 + 8 = 4x + 4 + 8

6x = 4x + 12

Add - 4x to both sides and group like terms.

6x - 4x = 4x + 12 - 4x

2x = 12

Divide both sides by 2 and simplify.

x = 6

Expand brackets.

4x - 8 = 2x + 6 + 7

Add 8 to both sides and group like terms.

4x - 8 + 8 = 2x + 6 + 7 + 8

4x = 2x + 21

Add - 2x to both sides and group like terms.

4x - 2x = 2x + 21 - 2x

2x = 21

Divide both sides by 2.

x = 21 / 2

Add 1.6 to both sides and simplify.

0.1 x - 1.6 = 0.2 x + 2.3

0.1 x - 1.6 + 1.6 = 0.2 x + 2.3 + 1.6

0.1 x = 0.2 x + 3.9

Add - 0.2 x to both sides and simplify.

0.1 x - 0.2 x = 0.2 x + 3.9 - 0.2 x

- 0.1 x = 3.9

Divide both sides by - 0.1 and simplify.

x = - 39

Multiply both sides by - 5 and simplify.

- 5(- x / 5) = - 5(2

What is the y intercept of the line - 4 x + 6 y = - 12?

Solution

Set x = 0 in the equation and solve for y.

- 4 (0) + 6 y = - 12

6 y = - 12

y = - 2

y intercept: (0 , - 2)

What is the x intercept of the line - 3 x + y = 3?

Solution

Set y = 0 in the equation and solve for x.

- 3 x + 0 = 3

x = -1

x intercept: (-1 , 0)

What is point of intersection of the lines x - y = 3 and - 5 x - 2 y = - 22?

Solution

A point of intersection of two lines is solution to the equations of both lines. To find the point of intersection of the two lines, we need to solve the system of equations x - y = 3 and -5 x - 2 y = -22 simultaneously. Equation x - y = 3 can be solved for x to give

x = 3 + y

Substitute x by 3 + y in the equation - 5 x - 2 y = -22 and solve for y

-5 (3 + y) - 2 y = - 22

-15 - 5 y - 2 y = - 22

-7 y = - 22 + 15

-7 y = - 7

y = 1

Substitute x by 3 + y in the equation -5 x - 2 y = - 22 and solve for y

x = 3 + y = 3 + 1 = 4

Point of intersection: (4 , 1)

For what value of the constant k does the line - 4 x + k y = 2 pass through the point (2,-3)?

Solution

For the line to pass through the point (2,-3), the ordered pair (2,-3) must be a solution to the equation of the line. We substitute x by 2 abd y by - 3 in the equation.

- 4(2) + k(-3) = 2

Solve the for k to obtain

k = - 10 / 3

What is the slope of the line with equation y - 4 = 10?

Solution

Write the given equation in slope intercept form y = m x + b and identify the slope m.

y = 14

It is a horizontal line and therefore the slope is equal to 0.

What is the slope of the line with equation 2 x = -8?

Solution

The above equation may be written as

x = - 4

It is a vertical line and therefore the slope is undefined.

Find the x and y intercepts of the line with equation x = - 3?

Solution

The above is a vertical line with x intercept only given by

(-3 , 0)

Find the x and y intercepts of the line with equation 3 y - 6 = 3?

Solution

The given equation may be written as

y = 3

The above is a horizontal line with y intercept only given by

(0 , 3)

What is the slope of a line parallel to the x axis?

Solution

A line parallel to the x axis is a horizontal line and its slope is equal to 0.

What is the slope of a line perpendicular to the x axis?

Solution

A line perpendicular to the x axis is a vertical line and its slope is undefined

Step-by-step explanation:

y = -22 and solve for y

-5 (3 + y) - 2 y = - 22

-15 - 5 y - 2 y = - 22

-7 y = - 22 + 15

-7 y = - 7

y = 1

What is 2 9/12×6=.........

Answers

Step-by-step explanation:

2 9/12×6=(2×12+9)/12×6=33×6/12=33/2=16.5is answer

2 9/12x6=(2x12+9)/
12x6=33x6/12=33/2=16.5

whats does espanol mean

Answers

I believe it means Spanish.

Answer:

Spanish.

Step-by-step explanation:

It is the language Spanish but the word is in spanish hahahahahah.

Find the common difference for the given sequence.

1.05, 1.1, 1.15, 1.2, ...

0.5
0.05
0.005

Answers

the answer is you add 0.05 every time

Carl earns grades of 62, 78, 59, and 89. What is the mean of his grades?

Answers

the answer is 72. add them together then divide by the amount of numbers you added.

Answer:

72 is the correct answer

find the inverse f(x)=x-11

Answers

Answer:

f(x)=x+1/11

Step-by-step explanation:

These two lines would be perpendicular.

Answer:

[tex]f^-^1(x) = x+11[/tex]

Step-by-step explanation:

- Write as an equation.

y = x - 11

- Interchange the variables.

x = y - 11

- Solve for  y

y = x + 11

- Replace the  y  with [tex]f^-^1(x)[/tex] to show the final answer.

[tex]f^-^1(x) = x+11[/tex]

hope this helps :)

Three times the sum of a number and nine is 12. Find the number.

Answers

Answer:

7

Step-by-step explanation:

3x+9=12

3x=21

x=7

Answer:

[tex] - 5[/tex]

Step-by-step explanation:

[tex]3(x + 9) = 12[/tex]

Nimer was driving to a hotel. He looked at his Sat Nav at 13:30 and saw the following, Distance to destination = 65 miles Nimer arrived at the hotel at 14:48 Work out the average speed of the car in mph, from 13:30 to 14:48

Answers

Answer: 50 miles per hour

Step-by-step explanation:

The average speed of the car will be gotten by using the formula:

= Distance/Time

where,

Distance = 65 miles

Time = 14:48 - 13:30 = 1:18 hours = 1 hour 18 minutes = 1 18/60 = 1.3 hours

Speed = Distance / Time

= 65 miles / 1.3 hours

= 50 miles per hour

Which is the graph of y = 3x + 1?

Answers

Answer:

X dot on graph (-0.333,0) Y dot on graph (0,1)

Step-by-step explanation:

It intercepts on the X line on (-0.33,0)

It intercepts on the Y line on (0,1)

Answer:

Hi so the graph will look like this

Hope This Helps!

Consider the system of linear equations −4x+2y=4 and 4x−y=−6. Which is different?

Answers

Answer:

one is plus + and the other is mines -

Step-by-step explanation:

Can someone please help me find out which triangles are congruent and why please

Answers

Answer:

D and F

Step-by-step explanation:

They have the same dimensions

-20 = 2(n=3)

What is the variable n?
PLEASE SOLVE QUICK

Answers

Answer:

Jsuusdi

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

HOW MANY SIDES DOES A TRIANGLE HAVE!!! HELP IM DOING A TEST!!!!

Answers

Answer:

Three

Step-by-step explanation:

A triangle has three sides and three corners hence the name TRI-angle

Step-by-step explanation:

a triangle has 3 sides. just count the sides and it's 3

what is the answer for
-7+x/3=-13

Answers

Answer:

x = - 18

Step-by-step explanation:

Given

- 7 + [tex]\frac{x}{3}[/tex] = - 13 ( add 7 to both sides )

[tex]\frac{x}{3}[/tex] = - 6 ( multiply both sides by 3 to clear the fraction )

x = - 18

Answer:

x = -32  or x = -18    Depends on how the equation is written

Step-by-step explanation:

-7 + x/3 = -13

Find the answer by solving for x.

If the equation is written like this:

[tex]\frac{-7+x}{3} = -13[/tex]           Multiply both sides by 3 and add 7 to both sides

x = -32

Or if the equation is written like this:

[tex]-7+\frac{x}{3} =-13[/tex]        Add 7 to both sides and then multiply by 3

x = -18

Bob's Pet Shop sold the following pets last month:

5 cats

9 dogs

7 birds

What is the ratio of birds to total pets in the simplest form?

Answers

7 : 21 (divide by 7)
1 : 3

please help mee with thisss

Answers

Answer: 200.96

Step-by-step explanation:

3.14 times 8^2 = 200.96

Answer:

200.96 inches²

Step-by-step explanation:

The area of a circle is pi x r². In this case it would be: 3.14 x 8² (64). This is also: 200.96.

Hope it helps!

What does 43/12 is equivalent too?

Answers

Hi there!

Fractions can be equivalent to a lot other fractions...

Explanation:

43/12x2 would be 86/24 so that would be equivalent.

Let do another one..

43/12 when doing this, you can decide to divide or not but this is in the simplest form already so we can just multiply 43 and 12 with anything we want so let do... 5.

So 43 multiply by 5 would be..215 and 12x5 would be 60. So another equivalent fractions that’s the same as 43/12 or we can say 86/24 is 215/60.

I also added how I got the equivalent fractions just in case you don’t understand still...

42 push ups in 3 minutes. Preform unit rate. How many can she do in five minutes?

Answers

Answer:

70 pushups in 5 mins.

Step-by-step explanation:

42 ÷ 3 = 14

So you can do 14 pushups in one minute.

14 × 5 = 70

good luck, i hope this helps :)

please help me out and ill give brainliest

Answers

The position of A is located at : -3.75 explanation:
We know this because half of -3 and -4 it would be 50 but this is more than half way so if you count 25 cents more on a quarter it would be 75cents
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