If f(x)=3x^5+2x^4+5, then what is the remainder when f(x) is divided by x−1?

Answers

Answer 1

Answer:

The remainder is 10

Step-by-step explanation:

The find the remainder when f(x) divided by g(x), find the value of x when g(x) = 0, then substitute it in f to find the value of the remainder

∵ f(x) = 3[tex]x^{5}[/tex] + 2[tex]x^{4}[/tex] + 5

∵ f(x) is divided by x - 1

g(x) = x - 1

→ Equate g(x) by 0 to find x

∵ g(x) = 0

x - 1 = 0

→ Add 1 to both sides

∵ x - 1 + 1 = 0 + 1

x = 1

→ Substitute x in f by 1

∵ f(1) = 3[tex](1)^{5}[/tex] + 2[tex](1)^{4}[/tex] + 5

∴ f(1) = 3(1) + 2(1) + 5

∴ f(1) = 3 + 2 + 5

f(1) = 10

∵ The remainder is the value of f(1)

The remainder is 10  


Related Questions

A migrating bird flies 378 miles in 14 hours. How many miles does it fly in 3 ​hours?

Answers

Answer:

81 miles

Step-by-step explanation:

378/14=27

The unit rate is 27 miles per hour

27*3 = 81

Please Help With all 3! Will Give 100 Points + Brainliest!

Answers

Answer: I don't see anything. Maybe upload some images?

Step-by-step explanation:

please help and explain i’ll mark brainliest!! worth a lot of points too

Answers

I’m gonna say that it’s ... 112

PLEASE HELP .!!! ILL GIVE BRAINLIEST.. *EXRTA POINTS* .. DONT SKIP :(( !
ILL GIVE 30 POINTS .

Answers

Answer:

a200

Step-by-step explanation:

2x + y = -3
What’s the solution?

Answers

y= -3 - 2x because all you have to do is move the 2x over to have an x and a y on different sides, and in order to do that you do the opposite so since it is a positive 2, you subtract it and make it negative

Answer:

The slope is, -4.000/-2.000 which = 2.000

Step-by-step explanation:

Brain-List?

A HARD DRIVE COST 225,plus 40 hours per hour

Answers

Y=40x + 225
Because x is your per hour cost.
225+40h=y
225 + 40x = 385
-225 -225
------- -------
40x = 160
x= 4

PLS ANSWER I DO NOT HAVE A LOT OF TIME ANSWERING THIS IS THE ONLY WAY I CAN PASS


Write an Inequality and choose the correct graph of the solution. Graph by placing the correct inequality on the line.


The cost of renting a car is $25 per day plus a one-time fee of $75.50 for insurance. How many days can the car be


rented if the total cost is to be no more than $525?

Answers

Answer:

the second choice 25x+75.50<525

75.50 + 25x < 525

The car can be rented for 17 days.

On the line you will have a lone pointing to the left with an open circle on 17.

75.50 + 25x < 525

25x < 525 - 75.50

25x < 449.50

x < 449.50/25

x < 17.98

Helppppppppppppppppp

Answers

Answer:

AD if my calculations are correct

Step-by-step explanation:

Answer:

I think the answer would be CD

Step-by-step explanation:

If I remember correctly, the angles correspond with the line they are opposite of

The management of Asteria Inc. is studying the financial reports and statements of the company for the current accounting period. Which accounting head is a part of an off-balance-sheet item?

Answers

Answer:

What are the answers again??

Step-by-step explanation:

So when finding like units for fractions, Example: What are the like units for 2/3 and 1/2?. That has thankfully been answered do I multiply the last two digits?

Answers

Answer:

yes, or find the lowest common multiple (LCM) of the two denominators

Step-by-step explanation:

Please due soon, please explain too.

Answers

Answer:

x>-15/4

Step-by-step explanation:

1/3(6/8+1/2x)>-3/8

3/4 + 1/2 x>- 9/8

6+4x>-9

4x>-9-6

4x>-15

x>-15/4

Matching: Connect the correct statement with the corresponding picture. There are multiple correct statements per picture.
A) System is consistent and independent
B) System is consistent and dependent
C) System is inconsistent
D) Only one solution to system
E) Infinitely many solutions to system
F) No solutions to system

Answers

Answer:

Figure 1: A , D

Figure 2: B, E

Figure 3: C, F

Hope that helps!

given a piece wise
function f(x)={2x,x<1 5, x=1

Answers

Pretty sure it’s 16TXI, hope this helps!

(3x+9)(5x-9) we need to put them in the box

Answers

Answer:

you put 3x and 9 on the left side of the box then you put 5x and 9 on the top of the box then you multiply 3x and 5x which is 8x and you put that in your first square... then you do the same its a pattern did i explained ok or good..

Step-by-step explanation:

1. Pentagon MNPQR is shown on the coordinate grid. Pentagon MNPQR is dilated with
the origin as the center of dilation using the rule (x, y) - (x, y) to create pentagon
M'N'P'Q'R'. Which statement is true?

Answers

Answer:

B

Step-by-step explanation:

if its less than 1 it shrinks

The correct statement is; Pentagon M’N’P’Q’R is smaller than pentagon MNPQR because the scale factor is smaller than 1.

What is the scale factor?

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.

If a polygon is dilated by a scale factor = k

Rule to be followed as;

(x, y) → (kx, ky)

Here, k = Scale factor

If 0 < k < 1, size of the image will be reduced.

Similarly, k > 1, size of the image will be enlarged.

We are given that Pentagon MNPQR is dilated with the origin as the center of dilation to form an image M'N'P'Q'R'.

Rule used for the transformation,

(x, y) → (1/4x, 1/4y)

Here, the scale factor through which MNPQR has been dilated is 1/4.

Since, scale factor is between zero and 1/4, size of M'N'P'Q'R' will be reduced.

Therefore, the size of pentagon M'N'P'Q'R' will be 1/4 smaller than pentagon MNPQR.

Option (2) is the answer.

Learn more about scale factors here :

https://brainly.com/question/8765466

#SPJ6

YOU GET 60 POINTS!! Ronald rents a car from Cheap Rent-a-Car for $25 plus $0.05 per mile. Dixon rents a car from Great Cars for $40 plus $0.03 per mile. How many miles must they both drive for their rental fees to be the same?

Answers

10 miles i think :)

Answer:

750 miles

Step-by-step explanation:

25+0.05x=40+0.03x

0.02x=15

x=750

what is 9 squared times 8 squared

Answers

Answer:

5184

Step-by-step explanation:

9 squared is 81 (9 x 9)

8 squared is 64 (8 x 8)

64 x 81 is 5184

So I just need help. ​

Answers

Answer:

a = 100 + 45t

Step-by-step explanation:

$100 is a one time addition so it will be a constant

100

$15 is added three times a month, so $45 a month

t stands for months as shown in the question

100 + 15(3)t

100 + 45t

Find the value of x 105,160,110,105,115

Answers

Answer:

dzxfchgjvhkbjl

Step-by-step explanation:

I’ll mark you brilliant!!!!!!!Iftheequationofalineis2x+y=6,whatistheslope?
2. Iftheequationofalineis4x-y=8,whatistheslope?
3. What is the slope of a line containing the points (2,9) and (3,12)?
4. What is the slope of a line containing the points (2,- 4) and (3, 10)?
5. The following table shows the number of pages Adriano read in x hours. Find the slope of the line that is the graph of the relation and write what does (2,100) represent.
Time(h) 1 2 3 4
Number
of pages 50 100 150 200
Slope:
(2,100) represents:

Answers

Answer:

answer below

Step-by-step explanation:

2. The slope is 4

3. The slope is 3.

4. the slope is 14.

5. She reads 2100 pages in x hours                                  

Help pleasee due soon!! WIll give Brainliest

Answers

Answer:

9.7

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf x \approx 9.7}}[/tex]

Step-by-step explanation:

This is a right triangle, which we know because of the square in the corner of the triangle. We can use the right triangle trigonometric ratios.

[tex]sin( \theta) =opposite/hypotenuse[/tex]  and [tex]cos (\theta) = adjacent /hypotenuse[/tex] and [tex]tan (\theta)=opposite/adjacent[/tex]

First, identify each side of the triangle as adjacent, opposite, or hypotenuse, relative to the 68 degree angle.

The x is next to, or adjacent, to the angle. The 24 is opposite. We are not given the hypotenuse.

[tex]adjacent= x \\opposite= 24 \\hypotenuse= unknown[/tex]

Since we have the adjacent and opposite, we must use tangent.

[tex]tan (\theta)=\frac{opposite}{adjacent}[/tex]

Substitute the values in. The theta (θ) is the angle.

[tex]tan (68)=\frac{24} {x}[/tex]

Solve for x. One way is by cross multiplying.

[tex]\frac{tan(68)}{1}=\frac{24}{x}[/tex]

Multiply the 1st numerator by the 2nd denominator. Then, multiply the 1st denominator by the 2nd numerator.

[tex]tan (68)*x=1*24[/tex]

[tex]tan(68)*x=24[/tex]

Evaluate tan(68) using a calculator.

[tex]2.47508685*x=24[/tex]

Divide both sides of the equation by 2.47508685. This will isolate the variable x. ( We divide because multiplication is occurring between 2.47508685 and x, and division is the inverse of multiplication).

[tex]\frac{2.47508685*x}{2.47508685}=\frac{24}{2.47508685}[/tex]

[tex]x=\frac{24}{2.47508685}[/tex]

[tex]x=9.69662943[/tex]

Round to the nearest tenth. The 9 in the hundredth place tells us to round up. The 6 becomes a 7.

[tex]x \approx 9.7[/tex]

In this right triangle, x is equal to about 9.7

Rae-ko rides her bicycle 35 miles in 2.5 hours. What is her cycling speed in miles per hour?

Answers

Answer:

14

Step-by-step explanation:

35/2.5

PLS HELP I WILL GIVE U 30 POINTS !!!!!!!

Answers

please post another picture this one is rlly blurry and i cant see ugh and i think i know how to do this

Which phrase best represents the following?
n
_ =7
5

Answers

Hey there!

“ n/5 = 7 ”

Usually whenever you have a letter value in mathematics it’s understood as a(n) UNKNOWN value; people label them as a invisible 1

~ FIRST: you have to MULTIPLY both of your SIDES by 5

1n/5 • 5 = 7 • 5

~ CANCEL out; 1/5 • 5 because that gives you a 1
~KEEP: 7 • 5 because it gives the value of your “n”

New equation: n = 7 • 5

7 • 5 = 35

Answer: n = 35 ☑️

Regular division problem: 35/5 = 7 so this makes it true!

Random fact; math actually repeats a lot.. so it can become easier for you to understand or tackle problems like this on your own!

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP SHOW YOUR WORKKKKKKKKKKK PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ


Solve the inequality below.

Answers

Answer:

6.8

Step-by-step explanation:

In order to do this equation you must find out what -6/5u+8 is which has to equal greater than -10.

-6/5 as a decimal is -1.2

-1.2+8= 6.8

So it is 6.8>-10

There are 10 seniors and 15 juniors in a gym class. What is the ratio of seniors to total students?

Answers

Answer:

for every 2 seniors there are 3 juniors or 2:3

The ratio of seniors to total students will be 2: 5.

What are ratio and proportion?

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

There are 10 seniors and 15 juniors in a gym class.

The total number of students will be given as,

Total students = 10 + 15

Total students = 25

Then the ratio of seniors to total students will be given as,

Ratio = Seniors / Total student

Ratio = 10 / 25

Ratio = 2 / 5

The ratio of seniors to total students will be 2: 5.

More about the ratio and the proportion link is given below.

https://brainly.com/question/14335762

#SPJ2

__Na2O + __ H2O → __NaOH

Answers

Answer:

Na20+H20 -> 2NaOH

Step-by-step explanation:

John and his best friend found some money. They split the money evenly, each getting $14. How much money did they find?

Answers

Answer:

$28

Step-by-step explanation:

John and his best friend each got $14, so in total there are $14+$14=$28.

Answer:

$28

Step-by-step explanation:

If they split the money evenly then both of them got half.

So, multiply 14 by 2 to find the answer:

(14)(2) = 28

John and his best friend found a total of $28.

I hope this helps!!

- Kay :)

5+3w+3-w combine like terms to simplify

Answers

Answer:

8 + 2w

Step-by-step explanation:

Change all signs to addition (subtraction is the same as adding a negative):

5 + 3w + 3 + -w

Since the expression is now all addition, you can rearrange them in any order. So group the terms together by their type:

5 + 3 + 3w + -w

Simplify:

8 + 2w

Answer: 8 + 2w

Hope this helps! :)

The answer would be 8 + 2w because your combining like terms. You would have to add 5+3 to get 8. And combine 3w-w to get 2w

Antonio baked 150 muffins. Of all the muffins he baked, 46% of them were blueberry. How many blueberry muffins did Antonio bake?
(NEEDS TO BE ANSWERED TODAY)

Answers

Answer:

69

Step-by-step explanation:

hope this helps :)

Answer:

69!

Step-by-step explanation:

Hope i helpedhave a nice day

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