Find the value of c so that (x+3) is a factor of the polynomial p(x). p(x)=x^3-4x^2+cx+33

Answers

Answer 1

Answer:

The value of c is -10.

Step-by-step explanation:

Since (x+3) is a factor of the polynomial p(x).

We have that:

x + 3 = 0 -> x = -3

So p(-3) = 0

Then

[tex]p(x) = x^3 - 4x^2 + cx + 33[/tex]

[tex](-3)^3 - 4(-3)^2 - 3c + 33 = 0[/tex]

[tex]-27 - 36 - 3c + 33 = 0[/tex]

[tex]3c = -30[/tex]

[tex]c = -\frac{30}{3}[/tex]

[tex]c = -10[/tex]

The value of c is -10.


Related Questions

A clothing store is having a sale. A shirt normally sells for $30. The store is
offering a 15% discount. What is the discounted price?
A. $4.50
B. $25.50
C. $26.50
D. $24.50

Answers

Answer:

B. $25.50

Step-by-step explanation:

This is a bit of a trick question.

To find how much money is taken off the price, you would do 15% (0.15) • 30 and you get $4.50. This is the discount that is taken off of the price, not the discounted price. To find the new discounted price, subtract the $4.50 from $30.00.

$30.00 - $4.50 = $25.50

adams bought some quantity f salt at 90 naira a tonne and sold it at 8k per kilogram how much did he loss or gain?​

Answers

Answer:

gain

Step-by-step explanation:

Because a naira is 0.0026 of a dollar.

did it help?

*Will Mark Brainliest Hurry!*****

For a school project, Brian counts the cars every weekday after to school to determine how many are silver. He records his findings
in this table. What is the experimental probability that the next car he sees will be silver?

A 1/2
B 1/3
C 1/4
D 1/5
A)
B)
C)
D

Answers

Answer:

The correct answer is A, 14%.

Step-by-step explanation:

All you have to do is take the 30% chance of you HAVING to stop at the first light and find the chance that you won't have to stop at the first light, which is 70%, or .7. Then you take the chance of having to stop at the second light which is 80%, and find the probability of NOT having to stop there, which is 20%, or .2. Then you multiply the probabilities of not having to stop, which equals  .14.

Answer:

C 1/4

Step-by-step explanation:

2021 on edge

Which expression means “6 times the square of a number w”?

Answers

Answer:

its the second expression

Step-by-step explanation:

Answer:

B. 6w^2  Second option

Step-by-step explanation:

You are multiplying, therefore when a digit is next to a letter in a math expression. It means to multiply

ann puts 37 photos in one book and 24 photos in another book. how many photos does she use in all?​

Answers

Answer:
37 + 24 = 61
61 photos

Answer:

61

Step-by-step explanation:

37+24=61

What is the value of the expression below when x = 2.3? 6x - (3.5 + x)​

Answers

Answer:

8

Step-by-step explanation:

6(2.3)-(3.5+2.3)

13.8-5.8

=8

What is the formula and what is the answer

Answers

Answer:

In science, a formula is a concise way of expressing information symbolically, as in a mathematical formula or a chemical formula. The informal use of the term formula in science refers to the general construct of a relationship between given quantities.  

Step-by-step explanation:

1. A car dealership marks up their cars 7% in order to make a profit. Find the selling price

2. Josie is fundraising for her soccer team; she buys candy bars for $0.75 each and marks
them up 80%. What is the selling price of each candy bar?

Answers

Answer:

1) selling price is 1.07 multiplied by whatever they paid for the car

2) selling price is $1.35

Step-by-step explanation:

2) to get 80% markup on 0.75 you can multiply 0.75 x 1.8

find the 15th term of the arithmetic sequence 13,8,3,-2

Answers

Answer:

-57

Step-by-step explanation:

13,8,3,-2 (decreasing by 5)

13,8,3,-2,-7,-12,-17,-22,-27,-32,-37,-42,-47,-52,-57.

The 15th term is -57.

Ace

A restaurant offered cooking classes on 24 of the 30 days in November. What decimal is equivalent to the fraction of days in November that classes were offered at the restaurant? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.​

Answers

Answer:

80%

Step-by-step explanation:

Divide 24÷30 to obtain a decimal value. Then multiply the result by 100. This will move the decimal 2 places to the right. 0.8×100= 80%

Roberta bought 9/10 pound of raisins. She put 2/5 pound in bags for her lunch. How many 2/5 pound bags can Roberta fill? Does she have any left over?​

Answers

Answer:

2 pound bags and have a remeinder of 1/10

Step-by-step explanation:

Answer:

She can fill 2 bags for her lunch and will have 1/10 pound left.

Step-by-step explanation:

It is easier if there is a common denominator, so I made the 2/5 into 4/10, so it is the same as 9/10 pound she bought.

4/10 is one bag, and if you double that, it is 8/10 pounds used. This is two bags of raisins for her lunch.

9/10 - 8/10 leaves 1/10 pound remaining, and not in a bag.

Can somebody please help me with my math ?

Answers

Step-by-step explanation:

just plug in the numbers to the x values

if f(3) then ur equation would look like this f(3) = 4x - 5

then u solve it to get the answer.

  3 = 4x - 5

+ 5 = 4x + 5

------------------ ---> add 5 on both sides

 8 = 4x

now u just divide. 8 ÷ 4 = 2 so f(3) = 2


Which calculation will give the total surface area of the solid figure?

5 x 6 x 6 square inches

6 x 5 x 5 square inches

6 x 5 x 5 x 5 square inches

5 x 6 x 6 x 6 square inches

Answers

Answer:

Step-by-step explanation:

6.

Answer:

5×5×6 in²

Step-by-step explanation:

The figure is made up of six squares that are 5in by 5in each.

1.-25 is an example of a whole numbers. True O O False​

Answers

Answer:

false

Step-by-step explanation:

whole numbers don't include negative numbers / integers

Answer:

the answer would be false

Step-by-step explanation:

This is because whole numbers are nothing but a set of positive integers which do not contain fractions and decimal values, but starts from zero. The negative integers like -5, -4 … are also not considered as whole numbers. They are represented as {0, 1, 2, 3…}.

lol im da queen of copy and past btw i hoped this helped

A baker has three canisters of flour in her supply room Canister A can hold 30 pounds, canister B can hold 45 pounds, and
canister C can hold 60 pounds.
· Canister A contains 71% of its capacity
. Canister B is 16 full
Canister C has 8.8 pounds more than half its capacity
The baker estimates that she does not have the 70 pounds of flour needed for this weekend's planned baking
Use estimation strategies to determine which statements are true.
The total amount of flour in the three canisters is approximately 55 pounds.
The total amount of flour in the three canisters is approximately 70 pounds.
The baker does not have enough flour for the weekend's planned baking
The baker's estimate is not reasonable
The total amount of flour in the three canisters is approximately 90 pounds.
The baker has enough flour for the weekend's planned baking
The baker's estimate is reasonable

Answers

Answer:

its

2

6

5

Step-by-step explanation:

INTRO TO RATIOS
pls help its due tomorrow

Answers

Answer:

3:5, 5:4 for the first two oon the top. i dont have time to do the rest bc my teachers calling on me sorry :(((

Step-by-step explanation:

Is it possible for y to be an independent variable?????????

Answers

No. Hope this helps!

Answer:

Well uh that's a good question I actually don't know but ill see

Step-by-step explanation:

4
Select the equation below that has solutions of 1-3i and 1+3i *
(1 Point)
O A. O = x2 – 2x - 10
O B. 0 = x2 -- 2x + 10
O C. O = x2 – 2x + 8
O D. 0 = x2 - 2x - 8
PLS HELP!!!

Answers

Answer:

[tex]x^2 - 2x + 10[/tex], option B

Step-by-step explanation:

Complex numbers:

The most important relation that involves complex numbers is given by:

[tex]i^2 = -1[/tex]

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]\bigtriangleup = b^{2} - 4ac[/tex]

In this question:

The solutions are:

[tex]x_1 = 1 - 3i, x_2 = 1 + 3i[/tex]

We have to find the polynomial. All option have [tex]a = 1[/tex]. So

[tex](x - (1 - 3i))(x - (1 + 3i)) = x^2 - x(1 + 3i) - x(1 - 3i) + (1 - 3i)(1 + 3i) = x^2 - x -3ix - x + 3ix + 1^2 - (3i^2) = x^2 - 2x + 1 - 9i^2 = x^2 - 2x + 1 - 9(-1) = x^2 - 2x + 10[/tex]

The correct answer is given by option b.

Function c is defined by the equation c(n)=50+4n. It gives the monthly cost, in dollars, of visiting a gym as a function of the number of visits, n. What is the inverse function.

Answers

Answer:

(x - 50 / 4) = y

Step-by-step explanation:

On photo

To find the inverse function, you will have to write n in terms of c (which means number of visits as function of monthly cost).

The inverse function would be:

[tex]n = \dfrac{c-50}{4}[/tex]

Given that:c(n) = 50 + 4nc is monthly cost in dollars, of visiting a gym.n is the number of visits.To find:

Inverse function of given function.

What is inverse function and when is it possible to find such function?

The inverse function of f is a function of f which can remove the effect of f on its input.

Inverse is only possible if the function f is bijective (one to one correspondence, which means one input to one output uniquely and one output is connected to only one input by mapping f)

Since the given function is a linear function and not a  vertical line, thus, one input n uniquely maps to one output cost and one cost uniquely is obtained by one and only one value of n.

Finding the inverse function of c(n) = 50 + 4n:

[tex]cost = 50 + 4n\\ 4n = cost - 50\\\\ n = \dfrac{\text{c - 50}}{4} \text{\: (assuming cost to be denoted by c)}[/tex]

Thus, we have the inverse function of given function as:

[tex]n = \dfrac{c-50}{4}[/tex]

Learn more about inverse functions here:

https://brainly.com/question/1422702

What is the equation of the line shown on the graph?
(1)y=2x+2
(2)y=2x-1
(3)y=x+2
(4)y=x-1
(5)y=1/2x+2

Answers

The correct answer is #2 for question 20 because -1 is the y intercept and 2 is the slope
Hope this helps!

Find the multiplicative inverse of 7/12

Answers

Answer:

Im am pretty sure it would be 12/7

Step-by-step explanation:

I think it is 12/7!!!


dude someone help asap it’s 20 points


Triangle MNO on a coordinate
plane is reflected across the y-axis
to create Triangle M'NO'. Which one
of the following rules describes
this transformation?
(x, y) (-X, Y)
(x, y) (x. -Y)
(xy) -(-y.x)
(x, y) (y.-x)

Answers

Answer:

I think the answer is b or c

Step-by-step explanation:

please dont come at me if they are wrong

What is the overall charge of phosphide

Answers

Answer:

negatively charged

Step-by-step explanation:

What is the range of the following set of numbers:

50, 61, 85, 104, 69, 84, 101

Answers

Answer:

Step-by-step explanation:

104-50 = 54

range = 54

Find the equation of the line that goes through the points (12, 11) and (7,1)​

Answers

Answer:

8,4

Step-by-step explanation:

Step 1: Find the slope of the line.

Step 2: Use the slope to find the y-intercept.

Step 3: Use steps 1 and 2 to write the answer.

I will explain these steps by looking a several examples. Please understand that there are often several

different ways to complete each math problem, but I have found through the years that students are most

successful when the do problems the same way each and every time they attempt the problem. If you

know a different way to find the answer that is great, but I am going to show how to do the problem one

way and use the same technique everytime I see this problem.

Example 1: Find the equation of the line passing through the points (–1, –2) and (2, 7).

Step 1: Find the slope of the line.

To find the slope of the line passing through these two points we need to use the slope

formula:

( )

( )

So the slope of the slope of the line passing through these two points is 3.

Step 2: Use the slope to find the y-intercept.

Now that we know the slope of the line is 3 we can plug the slope into the equation and

we get:

y = 3x + b

Next choose one of the two point to plug in for the values of x and y. It does not matter

which one of the two points you choose because you should get the same answer in either

case. I generally just choose the first point listed so I don’t have to worry about which

one I should choose.

(–1, –2) → –2 = 3(–1) + b Multiply to simplify the problem.

–2 = –3 + b Solve for b and you will have the y-intercept.

b = 1

Jack and Jill each go out shopping.
Jack spends 1/3 of his money.
Jill spends 40% of her money.

Frank says Jack spent more because 1 /3 is greater than 40%.

Alice says you cannot tell who spent more.
Who do you agree with, Frank or Alice? Explain why.

Answers

I agree with Alice because it depends on how much money they had, which was not stated in the question.

I agree with Alice because you do not know how much money Jill and Jack had before they went shopping. If they had the same amount of money Jill would have spent more because 40 percent is greater than 1/3.

Step-by-step explanation:

Thank me later

A watermelon weighs 6.45 kilograms. How many grams does the watermelon weigh?

Answers

Answer:

A watermelon weighs about 3 (grams /(kilograms) 3.

Step-by-step explanation:

Answer:

6,450 g

Step-by-step explanation:

Since there are 1000 grams in 1 kilogram, you multiply 6.45 kg x 1000 g.

6.45 x 1000 g equals 6,450 grams. Move the decimal 3 times to the right because there are 3 zeroes in 1000.

You always move your decimal to the right when multiplying decimals.

9. Con 12 libros de diferentes autores, cuántas selecciones de 7 libros se pueden

hacer si:

a. Un libro determinado se incluye siempre.

b. Un libro determinado nunca se incluye.​

Answers

answer is 14 because 3x4 is 12 +2 = 14

What is the answer 5+5*5-5/5

Answers

Answer:

29

Step-by-step explanation:

Answer:

29

Step-by-step explanation:

..........................

Write the missing term in the pair of equivalent ratios.



63:90 = 14: ___


Please help I will reward brainliest

Answers

Answer:

20

Step-by-step explanation:

14/63=2/9=20/90

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