Is (x + 2) a factor of f(x) = x3 - 7x2 + 2X – 8? Use either the remainder theorem or the factor theorem to explain your reasoning.

Answers

Answer 1

[tex]\text{Given that,}\\\\f(x) = x^3 -7x^2 +2x -8\\\\\\\text{(x+2) will be a factor of f(x) if } f(-2) = 0 \\\\\\f(-2) = (-2)^3 -7(-2)^2 +2(-2) -8 = -48 \\\\\\\text{Since}~ f(-2) \neq 0, ~ (x +2) \text{is not a factor of f(x).}[/tex]


Related Questions

What is Jada‘s vertical jump

Answers

It's probably 52 or 40.

how do I solve this?

Answers

Answer:

Step-by-step explanation:

total points obtained=141+87+81+91=400

total possible points=150+100+100+100=450

1.

% points obtained=(400/450)×100≈88.89

Jade did not secured more than 88.89 % marks.

2. can't read properly

Find the area of the figure. hi​

Answers

The area would be 6 times 11 so multiply and you have your answer! :D

Help with number 2

No links
No jokes to just get points

Answers

Answer:

A. Circle  -2.5x and 1.7x list x  B. List t and s C. Circle 15k and 2/5k list k and m

Step-by-step explanation:

You do it??

We figure 25 people will attend if it rains and 70 people will attend if it does not rain. The weather forecast indicates that there is a 20% chance of rain that day. What is the expected number of people who will attend the party?

Answers

Answer:

34

Step-by-step explanation:

20% of 70 + 80% of 25 = 14 + 20 = 34.

Answer:

61

Step-by-step explanation:

Assuming a linear relationship between the percent chance for rain and the number of attendees, the number is 20% of the way from 70 (0% chance) to 25 (100% chance).

The expected number of people with a 20% chance of rain would be 61.

(hope it helps)

What is 5+5 ..................................................

Answers

Answer:

10

Step-by-step explanation:

5+5=10

each hand has five fingers so if you count all of the fingers on both hands, you will get 10

The table shows a linear relationship between x and y.​ how can you tell that x and y are NOT porportianal

Answers

If y/x does not always equal the same

Solve each inequality 3+1/2(3-x)<_7

Answers

Answer:

x > 5

Step-by-step explanation:

multiply the fractions, break up the fraction, group like terms, convert integer into a fraction, combine the fraction, combine the numerator, etc. hope this helps.

SOMEONE PLEASE HELP QUICKLY

A commercial claims that 8 out of 10 dentists recommend a certain brand of toothpaste. To test this claim, a random sample of 85 dentists is obtained. Of these 85 dentists, 73 indicated that they recommend that brand of toothpaste. Using a significance level of 5%, test the claim to see if the proportion of dentists who recommend this toothpaste is not 8 of 10.



a) State the null and alternative hypotheses

b) State the p value

c) Make a conclusion about the claim

Answers

Answer:

rgb

Step-by-step explanation:

wrtbtrb

a) The null hypothesis is: p = 0.8 and the alternative hypothesis is p ≠ 0.8.

b) p-value is 0.0838

c) We accept the null hypothesis

What are null and alternative hypothesis?

The null hypothesis of a test always predicts no effect or no relationship between variables, while the alternative hypothesis states your research prediction of an effect or relationship.

What is p-value?

A p-value is a statistical measurement used to validate a hypothesis against observed data.

a. Let p be the proportion of 8 out of 10 dentists.

The null hypothesis is

[tex]H_0 : p=\frac{8}{10}=0.8[/tex]

The alternative hypothesis is

[tex]H_1:p\neq 0.8[/tex]

b. The sample proportion [tex]\hat p=\frac{73}{85}\approx 0.86\\[/tex]

Z-score, the test statistic is

[tex]Z=\frac{\hat p-p}{\frac{\sqrt{p(1-p)}}{n} } \\\\Z=\frac{0.86-0.8}{\frac{\sqrt{0.8(1-0.8)}}{85} }\\ \\Z=\frac{0.06}{0.043386}\\ \\Z=1.3829\\\\Z\approx 1.38[/tex]

P(Z > 1.38) = 1 - P(Z < 1.38)

∴ P(Z > 1.38) = 1 - 0.9162 = 0.0838

p-value is 0.0838

c. Since the p-value is greater than the level of significance α=0.05, we reject the alternative hypothesis and accept the null hypothesis

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line of best fit gina wilson. It says stuff about Hannah as a baby and her weight. plz help

Answers

this question made no sense?

Over the course of 12 hours the temperature changes a tour of -16°C what is the average change in temperature in one hour

Answers

Answer:

- 1 1/3 degree

Step-by-step explanation:

- 16 / 12

What is the range of the function y=Vx+5?

Answers

Answer:

[tex]y\geq-5[/tex]

Step-by-step explanation:

Because [tex]x+5[/tex] cannot be negative, then [tex]x=-5[/tex] has to be the absolute minimum of the function given its domain. Therefore, all real values of x greater than -5 are all values that exist in the function's range.

Luis wants to but a skateboard that usually sell for $79.64. All merchandise is discounted by 12%

Answers

Answer:

$79.64

Step-by-step explanation:

I think it's still 79.64

Answer:

it will be equal 70.08 $

The polygons are similar. The area of one polygon is given. Find the area of the other polygon.

Answers

Answer:

108 ft²

Step-by-step explanation:

For the polygon on the left, we are given the length of one side (3 ft) and the total area (27 ft²). With this information, we can determine the length of the other side - 9 ft. I found this by dividing 27 ft² by 3 ft, giving me the final result of 9 ft.

Next, we have to find the other side of the polygon on the right so we can ultimately determine its area. It looks like there is a scale factor of 2 between the two polygons, since 3 × 2 = 6. We know that the bottom side of the left polygon is 9, so multiplying 9 by 2 should give us the bottom side of the polygon on the right. 9 × 2 = 18.

Now, we have the side lengths for the polygon on the right and can determine its area. What is 6 ft × 18 ft? Well, the answer is 107 ft², and this is the answer to the question.

Hopefully that's helpful! :)

Riley is saving up to buy a new television. She needs a total of $966.42. Riley has saved $200.92 already and earns $76.55 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television

Answers

Answer:

10 weeks

Step-by-step explanation:

76.55x+200.92=966.42

76.55x=966.42-200.92

76.55x=765.5

x=765.5/76.55

10

what is the sum of two number 55 + 6

Answers

Answer:

61

Step-by-step explanation:

1+1+1+1+1+1=6

6x10=60

60+1=61

answer both pls help fast

Answers

Answer:

Answers given in the photo

Jarad, the track star, ran the 88 yards in 10 seconds. How fast is this in miles per hour?

Answers

Answer:

18mph

Step-by-step explanation:

We convert this to solve! 1 mile equals 1760 yards,1 yard equals 3 feet, 60 seconds equals a minute, and 1 hour equals 60 minutes.

[tex]\frac{88yd}{10sec} times \frac{3ft}{1yd} times\frac{1mi}{5280ft} times\frac{60sec}{1min} times\frac{60}{1hr}[/tex]

When you multiply all that you get 18 mph

which statement best describes the first step to the equation -11-3x=44-2x

A. add 3 to both sides

B add 2 to both sides

C.get the variables on one side

Answers

C. get the variables on one side

Get the variables on one side statement best describes the first step to the equation -11-3x=44-2x

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equation is  -11-3x=44-2x

Minus eleven minus three x equal to forty four minus two times of x

To solve this, we need to seperated the variable on one side

-3x+2x=44+11

-x=55

x=-55

Get the variables on one side is the  first step to the equation -11-3x=44-2x

Hence, get the variables on one side statement best describes the first step to the equation -11-3x=44-2x

To learn more on Equation:

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2. In a class 70 students, 44 like Bookkeeping, 36 like- Commerce, and 17 like both bookkeeping and commere How many student like both book keeping and commerce?

Answers

Answer:

17

Step-by-step explanation:

you said that in the problem lol

Answer:

  17 like both bookkeeping and commerce

Step-by-step explanation:

The problem statement itself tells you ...

  "17 like both bookkeeping and commerce"

find the value of 7u+7 given that -3u-5=4

Answers

The value of u in 7u + 7 is 0.81

A line with a slope of 3 passes through the point (0, -10). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answers

[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-10})\qquad \qquad \stackrel{slope}{m}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-10)}=\stackrel{m}{3}(x-\stackrel{x_1}{0}) \\\\\\ y+10=3x\implies \stackrel{\textit{slope-intercept form}}{y=3x-10}[/tex]

f(x)=5x+4, g(x) square root of x find the domain of gof

Answers

(gof)(x)=sqrt(5x+4)
If you do not include the imaginary plane, the square root can only take in values bigger than or equal to zero. So we just need to fix when 5x+4=0. That is when x=-4/5. So, the domain is [-4/5,inf)

What’s a rational number between -1/6 and 1/9

Answers

Answer:

LCM of 6 and 9 are 18

1/6 = 1×3/6×3

= 3/18

= 3×10/18×10

= 30/180

1/9 = 1×2/9×2

= 2/18

=2×10/18×10

= 20/180

therefore rational no.s between 1/6 & 1/9 are

21/180,22/180,23/180,24/180,25/180,26/180,27/180,28/180,29/180

Step-by-step explanation:

sorry if im wrong

Answer:

1/18.

Step-by-step explanation:

-1/6 = -3/18 and 1/9 = 2/18

so one rational number between these values is  1/18.

Determine the slope from the given graph below:

The slope is 4
The slope is -4
The slope is−14
The slope is -2

Answers

The slope of the line is -4

Answer:

-4

Step-by-step explanation:

rise over run

rise being y axis

run being x axis

in this case y intercept is 4 and x intercept is1

A plane traveled 960 miles each way to Jakarta and back. The trip there was with the wind. It took 10 hours. The trip back was into the wind. The trip back took 20 hours. What is the speed of the plane in still air? What is the speed of the wind?

Answers

Answer:

Wind speed = 40 km/hr

Speed of the plane in still air = 280km/hr

Step-by-step explanation:

Formula to use

Distance = Rate multiplied by Time

D = R × T

Speed of the plane in still air = a

Speed of the wind = b

Plane with the wind (tailwind) is a + b where the time = 3hours

Plane against the wind is a - b, where the time = 4hours

This would give us 2 equations

3 × (a+ b) = 960

3a + 3b = 960 ...... Equation 1

4 × (a- b) = 960

4a - 4b = 960 ........ Equation 2

Solve this like you would with system of equations:

We solve the equation using elimination method.

Mulitply equation 1 by 4 and equation 2 by -3

4 × (3a + 3b = 960)

12a + 12b = 3840 ..... Equation 4

-3 × (4a- 4b = 960)

-12a + 12b= -2880 ........ Equation 5

Therefore we have

12a + 12b = 3840 ..... Equation 4

-12a + 12b= -2880 ........ Equation 5

24b = 960

b = 960÷ 24

b = 40

Wind Speed = 40km/hr

To find the speed of air, we use equation 2

4a - 4b = 960 ........ Equation 2

Substituting 40 which is wind of speed for b in equation 2 we would have

4a - 4(40) = 960

4a - 160 = 960

4a = 960 + 160

4a = 1120

a = 1120 ÷ 4

a = 280

The speed of the small plane in still air is 280 km/hr

what is the slope of
12(x−6)=4(y+3)

Answers

Step-by-step explanation:

the slope is always the factor a of x in the form

y = ax + b

so let's transform the original equation into this form :

12(x - 6) = 4(y + 3)

12x - 72 = 4y + 12

12x - 84 = 4y

3x - 21 = y or y = 3x - 21

therefore, the slope is 3.

A B C or D? please help​

Answers

Answer:

(x-1) and (x-5)

Step-by-step explanation:

option a .......

(a) The perimeter of a rectangular garden is 320 m.
If the width of the garden is 74 m, what is its length?

(b) The area of a rectangular window is 5723 cm?
If the length of the window is 97 cm, what is its width?
Width of the window: cm what is the width

Answers

Answer:

86 m, 59 cm

Step-by-step explanation:

a. perimeter is 2L + 2W

320 = 2L + 2(74)

320 = 2L + 148

172 = 2L

86 m is length

b. area = L x w

5723 = 97 x w

5723/97 = 2

59 cm is width

I will mark as brainliest if answer is correct.
Which ordered pair is a solution to the system of inequalities?
y≥2x-1
y<4x

A. (2,6)

B. (3,2)

C. (3,4)

D. (2,8)​

Answers

A. (2,6) is a solution to the system of inequalities because it's inside the double shaded area.
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