(x + 3) is a factor of the polynomial x^3 + 2x^2 - 5x + n.
What is the value of n?

Answers

Answer 1

Answer:

n = - 6

Step-by-step explanation:

Given (x + h) is a factor of a polynomial f(x) then f(- h) = 0

Here

f(x) = x³ + 2x² - 5x + n and (x + 3) is a factor then f(- 3) = 0 , that is

f(- 3) = (- 3)³ + 2(- 3)² - 5(- 3) + n = 0 , so

- 27 + 2(9) + 15 + n = 0

- 27 + 18 + 15 + n = 0

6 + n = 0 ( subtract 6 from both sides )

n = - 6

     


Related Questions

the weight of an object on the moon is 0.167 of its weight on earth how much wuold a 180 pound astrounaut weigh on the moon

Answers

Answer:

About 30.06 pounds

Step-by-step explanation:

In order to solve this, you would need to multiply the total weight on earth (180 Ibs) by the force of gravity on the moon (0.167).

6/9 x 3/8 in simplest form

Answers

refer the attachment for your answer !!

11. Which solution for the value of x in the figure below is incorrect? Explain a. 3X -44=x-24 2x - 44 = -24 2x = 20 (3x-440) b. 3x - 44 + x - 24 = 180 4x - 68 = 180 4x = 248 X = 10 (x-249) x = 62​

Answers

Answer:

Theradius is 16 + 9 = 5. The equation of thecircle is2 2( x− 4) + ( y− 3) = 25. 53.54.x2 + y2 – 4 x ...

A linear model for the situation below passes through the origin. A manufacturer can produce 4,200 gears in 8 hours. How many gears can be made in 1 hour? values of the following algebraic expressions : L 3c2; 72/3; 5a&; ... 2x^-x^-3x-^ by 2 x'^ - 3 x~^ - x-^ ; a" - 1 + ft- " by a^ + ft~i ...

Step-by-step explanation:

A less character after a greater in10 = X. creases its value, as XI X+I, ... the root of each and set one above the other; as, % is the square root of 3X.180 / 90 / 15 lm | 12 VDC | 3 W module | 16 Wh battery | white | ... 48 VDC | PV 23,6 kW | 4 x VE SmartSolar MPPT 25 / 100-TR | 3x VE .

Dave spent 21 minutes completing a race. He walked 9 minutes and jogged the rest. What
is the ratio of time he jogged to time he walked?

Answers

Dave jogged for 9 minuets and walked for 12 minuets


An employee receives an 8% raise each year. The salary this year is $42,000. Which two expressions will calculate the salary for next year?

Answers

$42,000 x .08 = $3,360 raise
$42,000 + $3,360 = $45,360 salary for the next year

Victoria is four years older than her neighbor the sum of their ages is no more than 14 years enter an inequality that can be used to represent the situation in the box where X represents Victoria’s neighbors age

Answers

Answer:

Victoria is 4 years older than her neighbor

Step-by-step explanation:

V = x + 4

x = neighbors age

x + x + 4 < = 14...here is the inequality

2x + 4 < = 14.....this is just a simplified form of the inequality

not sure which one u want to write, because they are both basically the same...one is just simplified a little

2x + 4 < = 14

2x < = 14 - 4

2x < = 10

x < = 10/2

x < = 5.....the oldest age of the neighbor is 5

(Hope this helps can I pls have brainlist (crown☺️)

Answer: 5

Step-by-step explanation:

Let x be the age of Victoria's neighbor.

Victoria's age is 4 years older than her neighbor, so her age can be represented as x + 4.

The sum of their ages is no more than 14 years, which can be written as:

x + (x + 4) ≤ 14

Simplifying the inequality:

2x + 4 ≤ 14

2x ≤ 10

x ≤ 5

Therefore, the inequality that represents this situation is x + (x + 4) ≤ 14, where x is less than or equal to 5.

I have tried to answer this every method I can and I can't solve it​

Answers

Answer: P1: 17.61 P2: 14.66

Step-by-step explanation:

P1: take total divide by how many numbers used : 229 divided by 13 =17.61

P2: take total divide by how many numbers used : 88 divided by 6= 14.66

What’s the answer to 4(1+9x)

Answers

Answer:

36x+4

hopes this helps

Answer:

Explanation:

4 ( 1 + 9x)

4 + 36x

D) No, you are too afraid of sharks to even attempt the dive!
8) You are interested in retrieving a souvenir from a shipwreck located 115 feet below the water. You
do not have diving equipment, so your dive is limited by the equation y=0.05x2 - 4x – 38
Assumming you are able to retrieve your souvenir, how long do you have to hold your breath until
you resurface?
A) almost 90 seconds B) 38 seconds
C) almost 2 minutes D) a minute and 10 seconds

Answers

Answer:

B. 38 seconds

Esitmate 242 PLEASEEEEEEEEE I NEED THIS

Answers

Estimating the value of 242+32
Round up the number 242 to 240.
240+32
Round up the number 32 to 30.
240+30
Add 30 to 240.
270
242+32≈270
The Estimated Value of 242+32 is 270.

A parallelogram has an angle whose measure is 4 times the measure of
another angle of the parallelogram. What are the measures of the angles
of the parallelogram?

Answers

Answer:

The measures are 36 and 144 and similarly 36 and 144

Daphne gave away 3 more than half of her apples. she gave awya 17 apple in all. How many apples did Daphne have originally?

Answers

Answer:

28

Step-by-step explanation:


1) d= rt; t=8, d = 32
A) 24
B)0.3
C)4
D)40

Answers

Answer:

C) 4

Step-by-step explanation:

d =  rt

plug in

t = 8, d = 32

32 = t(8)

Divide both sides by 8

4 = t

C) 4

Pamela's age is two times Jiri's age. The sum of their ages is 33. What is Jiri's age?
please please help

Answers

Answer:

Let Jiri's age be as 'x'

Therefore, Pamela's would be 2x

Since the addition of both is 72, the equation formed would be..

2x+ x =72

3x =72

x= 72÷3

x = 24 years.

Therefore, Jiri's age is 24 and Pamela's is twice of Jiri ie 48 years.

help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

1. No

2. No

3. No

4. Yes

Step-by-step explanation:

Insert each y value into the equation. If it equals -14, then it is a solution to the equation. The only one of these y values that is a solution is the last one, -2.

8 * (-2) = -16

-16 + 2 = -14

So y = -2 is a solution.

how can you find 8 people can share 7 tickets equally

Answers

Answer:

Easy Kick one person out

Step-by-step explanation:

8/7 because 7*8=7/1*8/1= and we will take the reciprical which is 7/1*1/8=7/8

Question 11 Objective: Solve for unknown side lengths of right triangles using trigonometric ratios. A right triangle has one angle that measure 27. The adjacent leg measures 29.6 cm and the hypotenuse measures 40 cm. What is the approximate area of the triangle? Round to the nearest tenth. Area of a triangle = 1/2bh а​

Answers

Answer:

A≈ 268.76 sq cm.

Step-by-step explanation:

sine 27 = opposite side/hypotenuse

sine 27 = x/40

sin 27(40) = x

18.15961999 =x

18.16 = x

A = 1/2(29.6)(18.1596199)

A = 268.7623759

A≈ 268.76 sq cm.

What is an equation of the line that passes through the points (0,-2) and (-5,4)

Answers

Answer: y = -6/5x - 2

Step-by-step explanation:

Slope = Change in y/Change in x

Our y intercept is -2 because of our point (0,-2)

The triangle below is equilateral. Find the length of side xx in simplest radical form with a rational denominator.

Answers

Answer:

x= 12 cm

Step-by-step explanation:

Answer:

[tex]x=(4\sqrt{3})/3[/tex]

Step-by-step explanation:

If we know that it is equilateral, we know that all angles are 60 degrees, which makes the top smaller triangle a 30-60-90 triangle. Applying the 30-60-90 triangle theorem, we get x=4/sqrt3. By rationalizing the denominator, we get [tex]x=(4\sqrt{3})/3[/tex]

simplify this addition 20+(-6x)+6x+(-20)​

Answers

Answer:

0

Step-by-step explanation:

20+(-6x)+6x+(-20)=20-6x+6x-20

                            =0

Convert 0.092 into a fraction

Answers

Answer:23/250

Step-by-step explanation:

0.092=23/250

Simplify 6^-3/6^5
answers:
• 6^8
• 6^-2
• 1/6^8
• 1/6^2​

Answers

When you divide same numbers with exponents you would subtract the exponent: a^2/a^1 = a^(2-1) = a

Therefore: 6^-3/6^5 = 6^(-3-5) = 6^-8
Which is also 1/6^8

Solution: C

Given isosceles AHIJ where HIIT, MZH = (3x + 10)", and mZ1 = (6x – 20)", find the measures of angles H, I and J.

Answers

Answer:

110 degrees I think

Step-by-step explanation:

what is
-0.35 - (-0.25)??

Answers

Answer:

Please mark brainliest <3

Step-by-step explanation:

-0.1 is the answer to the problem

The path of a large arrow fired from a catapult can be modeled by y= -0.0044x^2+1.68x, where x is the distance the arrow traveled (in yards) and y is the height of the arrow (yards).

Give the height of the castle wall, find the safest distance from the wall to launch an arrow over the wall.
1. the height of the wall is 120 yards
2. the height of the wall is 100 feet.

Answers

Answer:

Step-by-step explanation:

Wwe can solve this in either of two ways:  Differentiation or graphing.

Differentiation

y= -0.0044x^2+1.68x

y' = -0.0088x + 1.68

y' is an equation that tells us the slope of the line for any point x.  We want to know when the arrow begins it's descent.  That is the point of maximum height, and the slope of the line through that point will be zero.  Set y' = 0 and solve for x:

0 = -0.0088x + 1.68

0.0088x = 1.68

x = 191

The maximum height is when the arrow has travelled 191 feet.  Now put 191 feet into the equation to find the maximum height:

y= -0.0044x^2+1.68x

y(191) = feet

The maximum height is 160 feet

--

Graphing

See attachment.

Gavyn drivers at a speed of 50 miles per hour. How long will it take to drive 225 miles

Answers

Answer:

4.5hours - 4h30 min

Step-by-step explanation:

Doing the math: 225 miles : 50 miles per hour = 4.5 hours

Thinking about it: 50 mph means that it takes 1 hour to do 50 miles. in 2 hour he travels 100. double again, it's 4 hours for 200 miles. Then there's 25 left, so half an hour. 4.5 hours or 4h30min

The sale price of a swimming pool after a 18.5% discount is $1189.90. Find the original list price of the pool.

Answers

Answer:

1460

Step-by-step explanation:

18.5% of 1460 = 270.1

1460 - 270.1 = 1189.9

$1,000 invested at 8% compounded semiannually after a period of 2 years

Answers

Answer:

1160 will be the new amount after 2 years

Step-by-step explanation:

P = $1000, t = 2 years, r = 0.08.

A = 1000(1+0.08(2)) = 1000(1.16) = 1160

Therefore 1160 is the new amount after two years.

Richard buys a balance being priced at 799 shipping and handling or an additional 30% of the price how much shipping and handling will Richard pay

Answers

30% of $799 would be $239.7

Describe how Jason can check his answer

Answers

Question:

Describe how Jason can check his answer

Answer:

The equation that was given in the question is:

[tex] - 8.5 \times - 3.5 \times = - 78[/tex]

Also,the value of x given is 6.5

Therefore, we'll put the value of x back into the equation and this will be:

[tex] - 8.5 \times - 3.5 \times = - 78 \\ - 8.5(6.5) - 3.5(6.5) \\ - 55.25 + - 22.75 \\ = - 78[/tex]

Therefore, the answer is correct

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