Find the value of c so that the polynomial p(x) is divisible by (x-3).

p(x) = -x^3 + cx^2 -4x + 3

Answers

Answer 1

Answer:

c = 4.

Step-by-step explanation:

If p(x) is divisible by  (x-3) then p(3) = 0 (By the Factor Theorem), so

-(3)^3 + (3)^2c - 4(3) + 3 = 0

-27 + 9c - 12 + 3 = 0

9c = 27 + 12 - 3

9c = 36

c = 4.

Answer 2

Answer:

4

Step-by-step explanation:


Related Questions

im in school rn and i dont understand this!

Answers

Answer:

[tex]33\%, ~\dfrac 3{10},~0.32,~ \dfrac 13[/tex]

Step-by-step explanation:

[tex]33\% <\dfrac 3{10}<0.32<\dfrac 13[/tex]

Find the values of m and c if the straight line y=mx+c passes through the point (-2,5) and has a gradient of 4.

Answers

(2,5) and (4,13)

y - y1 = y2 - y1

x - x1    x2 - x1

 

y - 5  = 13 - 5 = 8/2 = 4 x - 2     4 - 2

y - 5 = 4x - 8

y = 4x - 3

m = 4, c = -3

PLEASE HELP NO ONE HAS BEEN ANSWERING AT ALL!!!! I WILL GIVE BRAINLIEST! With a headwind a plane traveled 128 km in 2h. The return trip with a tail wind took 24 min less. Find the air speed of the plane. A. 64 km/h B. 72km/h C. 80km/h D. 88km/h E. 96km/h

Answers

Answer:

Step-by-step explanation:

B

Answer:

B

Step-by-step explanation:

128/2=64 mph

(the rate)

2 hr= 120 min

so.. 120-24= 96

and with the wind speed is r-c and without it is r+c because your going against the wind.

x = {(2, 4), (3, 4), (4,4), (5, 4)) Is x a function and why?

Answers

Because they all have a different x number. Even though the y numbers are the same you can tell wether a set of numbers are a function by the x numbers. So since there are different x numbers it is a function. I hope this helps!

Answer:

x is a function

since it forms a horizontal line it passes the vertical line test and is a function

The rocket club is 60% boys. The number of boys is 3 less than 2 times the number of girls. Hov
many girls and how many boys are in the club?

Answers

Answer:

no of girls - 300

no of boys - 450

no of girls - 6

no of boys - 9

What is algebraic expression?

A number, a variable, or a mix of numbers, variables, and operation symbols make up an expression. Two expressions joined by an equal sign form an equation. Word illustration: The product of 8 and 3. Word illustration: The product of 8 and 3 is 11

Given

Let boys be x and girls y

x = 2y-3

x - 2y = -3 ------(i)

x = 60/100(x+y)

10x = 6x + 6y

4x = 6y

2x = 3y

2x - 3y =0------(ii)

Subtract (ii) from (i)*2

no of girls - 6

no of boys - 9

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show work! giving brainly! my teacher told me this was wrong, what's the correct answer?​

Answers

Your not wrong I don’t know why your teacher said that

Answer:

it's Ahmed shoveled more

Elsa is selling bracelets at craft shows to raise money for an animal shelter. She is also accepting additional cash donations. She plans to give 75% of the money from all bracelet sales and donations to the shelter. She will use the remaining money to buy more supplies. Bracelet sales and donations from the first craft show are represented by the expression 24n+32 , where n represents the amount Elsa charges for each bracelet. The second craft show sales and donations is represented by the expression 40n+56 . If Elsa charges $4 for each bracelet, how much money will she donate to the animal shelter?

Answers

Answer:

22-1n-3

Step-by-step explanation:

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

The amount donated to the animal shelter is $258

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Percentage to donate to the shelter = 75%

The expression that shows the amount from the first and second craft shows.

24n + 32 _____(1)

40n + 56 ______(2)

Where n is the amount of each bracelet.

Now,

Cost of each bracelet = $4.

From (1) and (2) we get,

24 x 4 + 32 = 96 + 32 = 128

40 x 4 + 56 = 160 + 56 = 216

Now,

The total amount collected from both the craft shows.

= 128 + 216

= $344

The amount donated to the animal shelter.

= 75% of $344

= 75/100 x 344

= $258

Thus,

The amount donated to the animal shelter is $258

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15 POINTS! Will give brainliest to correct answer. I would love an explanation so I can do it on my own next time.

Answers

Answer:

Step-by-step explanation:

(A). A 90° counterclockwise rotation about the origin followed by a translation 1 unit to the left.

Mandee invested $360 in a savings account earning 1.8%
interest compounded continuously for 2.5 years.

Answers

Answer:    The final balance is $412.03.

The total compound interest is $52.03.

Step-by-step explanation:

Please help :)
M is the midpoint of segment AT.
Solve for X and AM

Answers

Because M is the midpoint of segment AT
So AM = TM
<=> 5x = 3x + 4 <=> 5x - 3x = 4
<=> 2x = 4 <=> x = 2

The answer: x = 2
Ok done. Thank to me :>

What is the slope?
Please help me

Answers

Answer:

1/2

Step-by-step explanation:

slope is rise over run. Choose two points on the line that are whole numbers. Then put the rise (1) over run (2)

Rewrite the equation y + 6 = -5(x + 3) into general form (ax + by + c = 0)

Answers

Answer:  5x + y + 21 = 0

Work Shown:

y + 6 = -5(x + 3)

y + 6 = -5x - 15

y + 6 + 5x + 15 = 0

5x + y + 21 = 0

The equation is now in the form ax+by+c = 0 where a = 5, b = 1, c = 21.

Answer:

5x + y = -21

Step-by-step explanation:

y + 6 = -5x - 15

5x + y + 6 = -15

5x + y = -21

any one is good at math can help :(

Answers

Answer:
1. 1/50, or 1 megabyte per 50 seconds
2. -5/2, or -5 dollars per 2 months

Explanation:
To find slope, we can use the slope formula:
m = (y2 - y1)/(x2 - x1)

M represents the slope, (x1, y1) represent the coordinates of a point on the line, and (x2, y2) represent the coordinates of another point on the line. The points you pick don’t matter as long as they’re different.

For the first graph, I’ll pick (150, 3) and (100, 2).
m = (2 - 3)/(100 - 150)
m = -1/-50
m = 1/50

From the x and y axis, I can determine the units: megabytes per seconds. The answer becomes 1 megabyte per 50 seconds.

The second graph will have the same process. Since the line is pointing downward, I already know that the slope will be negative. I can plug the pre-chosen points, (10, 5) and (4, 20), into the slope formula.
m = (20 - 5)/(4 - 10)
m = 15/-6 or -5/2

The answer becomes -5 dollars per 2 months.

I hope this was helpful!

A map is drawn using a scale of 1 centimeter to 25 kilometers.
What actual distance is represented by a map length of 3.2 centimeters?

Answers

1cm = 25km

3.2cm = 3.2(25) km

(Whatever you multiply on the left, you multiply on the right)

3.2 x 25 = 80km

simplify 10^9 divided by 10^7

Answers

Step-by-step explanation:

10^9 ÷ 10^7

10^9-7

10^2

10^2 is the correct answer

Functions f (solid) and g (dashed) are graphed.



What is the equation of g in terms of f?

A. G(x)=f(x)
B. g(x)=-f(x)
C. g(x)=f(-x)
D. g(x)=-f(-x)

Answers

B got it right on a quiz

Please help asapppppp!!!!!

Answers

Answer:

x is 8.2 I think hold on

yeah I think

a farmer has sheep and hen. the sheep and hens together have 100 heads and 356 legs how many sheep and hen are there

Answers

Answer:

22 hens and 78 sheep

Step-by-step explanation:

Let the number of hens = x

Number of sheep = y

Total heads = 100

x +  y = 100      --------------------(I)

x = 100 - y

Number of legs of 'x' hen = 2*x = 2x

Number of legs of 'y' sheep = 4*y = 4y

total legs = 356

2x + 4y =  356 -----------------------(II)

Substitute x = 100 -y in equation (II)

2(100 - y) + 4y = 356

2*100 - 2*y + 4y = 356

200 - 2y + 4y    = 356 {Combine like terms}

       200  + 2y = 356          {Subtract 200 from both sides}

                  2y = 356 - 200

                 2y = 156       {Divide both sides by 2}

                   y = 156/2

                 y = 78

Plugin  y = 78 in equation (I)

x + 78 = 100

      x = 100 - 78

      x = 22

22 hens and 78 sheep

Andy would like to withdraw an annual salary of $45,000 from an account paying 3. 1% compounded annually for 25 years once she retires. Given this information, determine the amount needed in her account in order for her to reach her goal. Round to the nearest cent. A. $9,386,168. 48 b. $14,516. 13 c. $798,954. 46 d. $774,931. 58.

Answers

The amount needed in her account in order for her to reach her goal. Round to the nearest cent is: d. $774,931. 58.

Using this formula

PVA=Principal [(1-rate)^time/rate]

Let plug in the formula

PVA=45000[(1-(1+0.031)^(-25))/0.031]

PVA=45000[(1-(1.031)^-25)/0.031]

PVA=45,000(1-0.4661582427091)/0.031

PVA=45000(0.533841757290/0.031)

PVA=45000(17.22070184809)

PVA=$774,931.58

Inconclusion the amount needed in her account in order for her to reach her goal. Round to the nearest cent is: d. $774,931. 58.

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Which algebraic expression represents this word description?
The product of nine and the difference between five and a number

Answers

Answer: 9(5-n)

Step-by-step explanation:

The product of nine and the difference between five and a number can be represented as 9(5-n)

Answer:      9(5-x)

Step-by-step explanation:

Hello!! :3

Please answer the question below.

-hello10olleh (hello)

Answers

Answer:

sequence B

Step-by-step explanation:

Answer:

IT SHALL BE Bbbbbbbbbbbbbbbbbbbbbbbbbbbb

HoPe ThIs HeLpS

5/8 ,2/12 ,8/10 least to greatest

Answers

Answer:

2/12 5/8 8/10

Step-by-step explanation:

I hope this helps!!!

2/12 = 0.16

5/8 = 0.625

8/10 = 0.80

more fr33 points for u amazing people, stream scientist by twice while ur at it!!!! :))

Answers

Answer:

ye

Step-by-step explanation:

aaaa thank you fellow kpop fan

You are a civil engineer working on the design of a new
green space in your city. The space will include gardens,
playgrounds, and picnic areas. One section of the park will
be in the shape of a right triangle. A diagram of the
requirements for the triangular space is shown below.

2x+2 yards
2x yards
2x+4 yards

1. Explain what you know about the space you will be designing. List at least three pieces
of information. (2 points)

Answers

The2nd one is the best one

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Probability with permutations and combinations
file
Nia is 1 of 24 students in a class. Every month, Nia's teacher randomly selects 4 students from their class to act
as class president, vice president, secretary, and treasurer. No one student can hold two positions.
Do
In a given month, what is the probability that Nia is chosen as president?
Choose 1 answer:
BRE
TA
1
24 P4
As
A
1
MY
TATU
Co
©
23 P 3
24 P4
SAT
MY
D
(24 P.). (24 P3)
24 P4
Pro
2 of 4 .OOO

Answers

Using permutations and the probability concept, it is found that there is a 0.0417 = 4.17% probability that Nia is chosen as president.

A probability is the number of desired outcomes divided by the number of total outcomes.As there are different roles, the order in which the students are chosen is important, hence, the permutation formula is used to solve this question.

Permutation formula:

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

Desired outcomes:

Nia's president.For the other roles, 3 students from a set of 23, hence:

[tex]D = P_{23,3} = \frac{23!}{20!} = 10626[/tex]

Total outcomes:

4 students from a set of 24, hence:

[tex]T = P_{24,4} = \frac{24!}{20!} = 255024[/tex]

Then:

[tex]p = \frac{D}{T} = \frac{10626}{255024} = 0.0417[/tex]

0.0417 = 4.17% probability that Nia is chosen as president.

To learn more about probabilities, you can take a look at https://brainly.com/question/24437717

Answer:The answer is 23 P 3/ 24 P 4

Step-by-step explanation:

What is the solution to the equation 5x=6?

Answers

Answer:

6 / 5 ( or ) 1.2

Step-by-step explanation:

5x = 6

x = 6 / 5

( or )

x = 1.2

Answer: To find equation solutions, solve x+2=0 and x+3=0. To find equation solutions, solve x + 2 = 0 and x + 3 = 0. x2+5x+6=0 Two solutions were found : x = -2 x = -3 Step by step solution : Step 1 :Trying to factor by splitting the middle term 1.1 Factoring x2+5x+6 The first term is, x2 its ...

Step-by-step explanation:

Taylor Swift estimates the cost of a new Tesla model S to be $85,000. The actual cost is $100,690.

What is the percent error in Taylor's estimate? Round your answer to the nearest whole percent.

Answers

Answer:

should be 15%

Step-by-step explanation:

formula is |85,000 - 100,690| ÷ 100,690 × 100

SOLVE THIS ASAP PLEASE
(5 + 4 - 2) x (-2) = ?
A. 22
b. -22
c.14
d. -14

Answers

Answer: d. -14
First start with (5+4-2) and simplify to 7
Second multiply 7 x -2 and get -14

Will I see an uplift in SEO traffic from a domain migration?

Answers

It should be noted that a domain migration will temporarily lead to a loss of traffic but in the long run, the person will see an uplift in SEO traffic.

A domain migration simply means the shifting between domains without impairment.

A domain migration will result in a temporary loss of traffic. This is because it needs time for it to be processed and updated. After this is done, there will be an uplift in SEO traffic.

Learn more about migration on:

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5x/2 - 3x/4 = 10 1/2
how to solve this? ​

Answers

[tex] \frac{5x}{2} - \frac{3x}{4} = 10 \frac{1}{2} \\ [/tex]

[tex] \frac{5x}{2} - \frac{3x}{4} = \frac{21}{2} \\ [/tex]

Multiply both sides by 4

[tex]4 \times ( \frac{5x}{2} - \frac{3x}{4} ) = 4 \times \frac{21}{2} \\ [/tex]

[tex]10x - 3x = 42[/tex]

[tex]7x = 42[/tex]

Divide both sides by 7

[tex] \frac{7x}{7} = \frac{42}{7} \\ [/tex]

[tex]x = 6[/tex]

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