Let p (x ) = x^3 - 3x^2 - 10x + 24. What is the remainder when p (x ) is divided by x - 1?

Answers

Answer 1

Answer:

The remainder is 12.

Step-by-step explanation:

The Polynomial Remainder Theorem

The remainder of the division of a polynomial f(x) by (x-a) is equal to f(a).

We are given the polynomial:

[tex]p (x ) = x^3 - 3x^2 - 10x + 24[/tex]

And we are required to find the remainder when p(x) is divided by (x-1).

We can simply apply the polynomial remainder theorem, substituting x for 1 in the polynomial:

[tex]Remainder=p (1 ) = 1^3 - 3\cdot 1^2 - 10(1) + 24[/tex]

Remainder= 1 - 3 - 10 + 24 = 12

The remainder is 12.


Related Questions

A box-and-whisker plot. The number line goes from 0 to 9. The whiskers range from 0 to 7, indicated by A and E. The box ranges from 2 to 6, indicated by B and D. The line divides the box at 4, indicated by C.
Identify the location of the values used to create a box plot.

A =
✔ minimum value

B =
✔ lower quartile

C =
✔ median

D =
✔ upper quartile

E =
✔ maximum value

Answers

minimum value: 1

lower quartile: 3

median of the data: 6

upper quartile: 8

maximum value: 14

Sorry for the late answer, i hope this will help you in the future and everyone else who reads this.

52/20-5/20 what is the answer to this math question?

Answers

Answer:

that answer is 47/20

Step-by-step explanation:

52-5=47

20-20=20

52/20-5/20=47/20

Answer:

50/20-5÷20=2.35

Step-by-step explanation:

I used a calculator i hope it helps : )

Find the exponential function of the 2 points (3, 7) and (5, 63). Use
the formula f(x) = a(b)”.

Answers

Answer:

We obtained the two exponential functions:

[tex]y\:=\:\frac{7}{27}\left(3\right)^x[/tex][tex]y\:=-\:\frac{7}{27}\left(-3\right)^x[/tex]

Step-by-step explanation:

As we know that the exponential function is of the form

f(x) = abˣ

Given the points

(3, 7)(5, 63)

We know these points belong to the exponential function.

so substituting the values (3, 7) and (5, 63) in the function

putting (3, 7)

y = abˣ  

7 = ab³

also putting (5, 63)

y = abˣ

63 = ab⁵

Considering the 2nd equation

63 = ab⁵

as

[tex]a^b\times \:a^c=a^{b+c}[/tex]

so

63 = ab³×b²  

substituting 7 = ab³ in 63 = ab³×b²  

63 = 7 × b²

b² = 63/7

b² = 9

b = ± 3

If b = 3

plug in b = 3 in the equation 7 = ab³ to find the value 'a'

7 = ab³

7 = a(3)³

7 = a × 27

a = 7/27

so, a = 7/27 and b = 3 would give us the function

y = abˣ

[tex]y\:=\:\frac{7}{27}\left(3\right)^x[/tex]

if b = -3

plug in b = -3 in the equation 7 = ab³ to find the value 'a'

[tex]\:7\:=\:a\left(-3\right)^3[/tex]

[tex]a\left(-27\right)=7[/tex]

[tex]a=-\frac{7}{27}[/tex]

so, a = -7/27 and b = -3 would give us the function

y = abˣ

[tex]y\:=-\:\frac{7}{27}\left(-3\right)^x[/tex]

Thus, we obtained the two exponential functions:

[tex]y\:=\:\frac{7}{27}\left(3\right)^x[/tex][tex]y\:=-\:\frac{7}{27}\left(-3\right)^x[/tex]

Help me with this pleaseeeeeeeeeeeee

Answers

Answer:

36

Step-by-step explanation:

USE PYTHOGORAS THEOREM

A²=C²-B²

C²=3600

B²=2304

3600-2304=1296

√1296=36

hope it helps

Have a nice Day , I would appreciate it if you could mark my answer brainliest

Sole
x/5 = 10
1.x=50 2.x=2 3.x=15 4.x=5

Answers

the answer is 1.
( x = 50)

There are 690 students in a school. 120 students are in the 8th Grade and 135 students are in the 7th Grade. What % of the students are in the rest of the classes?

Answers

Answer:7th

Step-by-step explanation:

A set of n = 10 pairs of scores has ΣX = 25, ΣY = 30, and ΣXY = 74. What is the value of SP for these data?
a. 14
b. 24
c. -144
d. -1

Answers

I think it's B

Not 100% sure but I think

a
29
Solve each percent equation. Remember "of" means multiply and "is" means equal.
At your school, 74% of students bought their lunch at the cafeteria. There are
1250 students in the school. How many students bought their lunch?
925
students who brought their lunch. YUM!!

Answers

Answer

925 students brought their lunch.

Explanation

First let's rewrite the equation.

You know that "of" means multiply and "is" means equal.

Okay, so let's break it down.

The question says, "At your school, 74% of students brought their lunch at the cafeteria. There are 1250 students in the school."

This means that 74% of 1250 students brought their lunch at the cafeteria.

You are trying to find how many students brought their lunch. This will be x.

So the equation would be this.

74% × 1250 = x

74% is 0.74.

0.74 × 1250 = x

0.74 × 1250 = 925

So 925 students brought their lunch.

(8,72);y=x divided by 9

Answers

Answer:

6800

Step-by-step explanation:

Which is the completely factored form of 4x + 1Ox-6x?
2(x+3)(2x-1)
2x(x + 3)(2x- 1)
2x(x -3)(2x- 1)
2(x-3)(2x + 1)

Answers

Answer:

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

Step-by-step explanation:

Look at picture, answer quick please

Answers

Answer:

The part of an atom where nearly whole mass is

concentrated is calledThe part of an atom where nearly whole mass is

concentrated is calledThe part of an atom where nearly whole mass is

concentrated is calledThe part of an atom where nearly whole mass is

concentrated is calledThe part of an atom where nearly whole mass is

concentrated is calledThe part of an atom where nearly whole mass is

concentrated is calledThe part of an atom where nearly whole mass is

concentrated is calledThe part of an atom where nearly whole mass is

concentrated is calledThe part of an atom where nearly whole mass is

concentrated is calledThe part of an atom where nearly whole mass is

concentrated is calledThe part of an atom where nearly whole mass is

concentrated is calledThe part of an atom where nearly whole mass is

concentrated is calledThe part of an atom where nearly whole mass is

concentrated is calledThe part of an atom where nearly whole mass is

concentrated is calledThe part of an atom where nearly whole mass is

concentrated is calledThe part of an atom where nearly whole mass is

concentrated is calledVThe part of an atom where nearly whole mass is

concentrated is calledThe part of an atom where nearly whole mass is

concentrated is calledThe part of an atom where nearly whole mass is

concentrated is called

Step-by-step explanation:

Answer:

d=0

d=0.5

d=1

d=1.5

d=2

d=2.5

The students in Mr.murthy´s class are participating in the recycling project. After 2 days, the class collected 20 plastic bottles. They collected the same number of bottles each day.
How many bottles did Mr.Murthy´s class collect in 5 days?

Answers

Answer:

50

Step-by-step explanation:

20/2=10

so this means 10 bottles per day

so there is 5 days

5 x 10 = 50

:)

Answer:

The answer to the  missing spot in the ratio is the number 50.

Step-by-step explanation:

10x5= 50

hope this helps :)

Which of the following most likely causes the rate of a chemical reaction to increase? (5 points)

a
Decreasing the reaction temperature

b
Slowing down the reacting molecules

c
Taking away heat from the reaction

d
Adding heat to the reaction

Answers

Answer:

i think adding heat to reaction will change the rate of the reaction

BbbbbbbbbbbbbGhjhhh12

Answers

Bajsmsmandjtkkwmmrmsnnajamsmnsnsnammamamdfktkkdksksmmdd

What is Two-thirds divided by StartFraction 4 Over 5 EndFraction?

A fraction bar labeled 1. Under the 1 are 5 boxes labeled one-fifth. Under the 5 boxes are 3 boxes containing one-third. Under the 3 boxes are 15 boxes labeled StartFraction 1 Over 15 EndFraction.

Answers

Answer:

[tex]\dfrac{5}{6}[/tex]

Step-by-step explanation:

The problem says Two-thirds divided by StartFraction 4 Over 5 EndFraction.

Two thirds means = 2/3

It means,

[tex]x=\dfrac{2}{3}\ \text{divided by}\ \dfrac{4}{5}[/tex]

or

[tex]x=\dfrac{\dfrac{2}{3}}{\dfrac{4}{5}}\\\\=\dfrac{2}{3}\times \dfrac{5}{4}\\\\=\dfrac{5}{6}[/tex]

Hence, the required answer is [tex]\dfrac{5}{6}[/tex].

Will the border line of the graph of y < - x2 + 4x + 5 be a solid line or a broken
line?


Is the point (0,0) part of the solution of y<-x2 +4x+5

Answers

Step-by-step explanation:

When the inequality uses < or >, it is a broken line.

For the point (0, 0) it means that x = 0 and y = 0.

Since (0) < (0)² + 4(0) + 5 is true, the point is part of the solution.

Yes, the point (0,0) is part of the solution of y < - x² + 4x + 5.

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

What is a graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

To determine the border line of the graph of y < - x² + 4x + 5

A broken line results from the inequality using < or >.

x and y are both equal to zero at the coordinates (0, 0).

Substitute the values of x = 0 nad y = 0 in the inequality  y < - x² + 4x + 5

So, (0) < (0)² + 4(0) + 5

Since (0) < (0)² + 4(0) + 5 is valid,

Thus, the coordinates (0, 0) are part of the solution.

Learn more about inequalities here:

brainly.com/question/20383699

#SPJ2

On the 6th grade camping trip there are two adults for every 11 students what's the ratio of adults to students

Answers

the answer is 2:11 because yes that’s the ratio

What is 20% of 680????

Answers

Answer:

136

Step-by-step explanation:

20% * 680

Cheers! :)

Solve the system of equations using the elimination method.
(8x +11y = 37
8x+y=7

Answers

Answer:

8x +11y = 37 ---------(1)

_8x±y=_7 ----------(2)

-------------------

o+10y=30

Y=3

PUT  Y IN EQ 2

8X+3=7

8X=7-3=4

X=1/2

Ans

I hope this Ans is helpful for you

Step-by-step explanation:

A function is a relation in which the value of the domain (x-values) DO NOT repeat.
O True
O False

Answers

Answer:

true

Step-by-step explanation:

The reciprocal pronouns each other and one another are used when two or more subjects in a sentence are also

Answers

Answer:

Objects

Step-by-step explanation:

Normally, we make use of reciprocal pronouns in cases where each of two or more subjects are acting in the same manner towards one another. For example, X is talking to Y, and Y is talking to Z.

Thus, the subjects in question must be the same objects for them to be able to relate in the same way.

Answer:objects

Step-by-step explanation:

Select the common unit rate you would use to solve a problem involving the speed of a vehicle.

A: Earnings per week
B. Words per minute
C: Kilometers per hour
D. Miles per gallon

Please select the best answer from the choices provided.​

Answers

Answer:

I think option c is the best answer but i am not surely ok

Answer:here's the correct answer for this question

Step-by-step explanation:edge2023

Suppose y varies directly with x. Write a direct variation equation to relate x and y if y = 10 when x = 2

Answers

Answer:

y=5x and y=40 when x=8

Answer:

y = 5x

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 10 when x = 2

10 = 2k ( divide both sides by 2 )

5 = k

y = 5x ← equation of variation

What is 60% of 64, please idk know this lol

Answers

Its 38.4 because i am big brain

Answer:

That would be 38.4.

Solve the system:
3x+6y=51
y=40-5x

Write down your solution here

Answers

Answer:

x=7 y=5

Step-by-step explanation:

3x+6(40-5x)=51

3x+240-30x=51

-27x+240=51

-27x=-189

27x=189

x=7

y=40-5(7)

y=40-35

y=5

X=7 y=5
You need to used the second equation and isolate either x or y. It’s your choice. Then, use that and substitute it in for the first equation. Then you will get an integer and substitute it back to the second equation.

Scenario: Does the age at which babies learn to crawl depend on the time of the year that the babies were born? Data were collected from parents who brought their babies into the University of Denver’s Infant Study Center to participate in one of a number of experiments between 1988 and 1991. Parents reported the birth month and the age in which their child first began to crawl. The resulting data were grouped by month of birth: January, May, and September.

Answers

The age for when babies learn to crawl is different for Januar,May, and September.. so I guess yes?

Write an equation to express the translation of y = |x| left 5 units. *

Answers

Answer:A translation is a function that moves every point a constant distance in a specified direction. A vertical translation is generally given by the equation y=f(x)+b y = f ( x ) + b .

Step-by-step explanation: y=f(x)+b y = f ( x ) + b .

True or False: One benefit of good record keeping is that it can help with budgeting

Answers

Answer:

true

Step-by-step explanation:

True is the answer

i hope this helps you

Please mark me as brainliest

Thanks!!

How many minutes are not spent on instructions?

Answers

Answer: 1/5

Step-by-step explanation:

Answer:

I'm pretty sure the answer is 48 minutes!

A car travels 200 miles using 8 gallons of gasoline. What's the unit rate in miles per gallon? Please write
your work and don't forget the unit.

Answers

Answer:

0.04

Step-by-step explanation:

what you would do is 8 divided by 200 and get 0.04

please mark me brainliest

Answer:

hey i need help with the same test can you help me please. I need the answers please help me.

Step-by-step explanation:

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