If f(x) = x4 – 5, then what is the remainder when f(x) is divided by x + 1?

Answers

Answer 1

Answer:

The remainder is: f(-1) = -4

Step-by-step explanation:

We know that when a polynomial function f(x) is divided by x-c, then the remainder is f(c)

Given the function

[tex]f\left(x\right)\:=\:x^4\:-\:5[/tex]

It is stated that the function f(x) is divided by x + 1.

Thus, substituting x = -1 in the function to find the remainder f(-1)

i.e

f(-1) = (-1)⁴ - 5

f(-1) = 1 - 5

f(-1) = -4

Therefore,

The remainder is: f(-1) = -4

Answer 2

Answer:

9

Step-by-step explanation:


Related Questions

Solve for x
(x+3)^2

A. x^2 + 3x + 2
B. 2x^2 + 3x + 2
C. x^2 + 6x + 2
D. x^2 + 6x + 9

Answers

Answer:

D. x²+6x+9

Step-by-step explanation:

—Math

(x + 3)² = (x + 3)(x + 3)

= x² + 3x + 3x + 9

= x² + 6x + 9

follow my account ^^

Answer:

D.) just took the Unit Session

Step-by-step explanation:

A mountain climber records her altitude and the surrounding temperature at various points as she ascends a mountain. She then plots the points on a scatter plot and draws a line of best fit. The equation of the line is y=−3.6x+59 , where x is the altitude in thousands of feet and y is the temperature in degrees Fahrenheit (°F). What does the slope of the equation represent in this scenario?

Answers

Answer:

-3.6

Step-by-step explanation:

The general equation of a straight line formula is represented as y = mx + c, where m is the gradient or slope of the line and c is called the intercept on the y-axis.

The equation of the line in the question above is y= −3.6x + 59 ,

Therefore comparing both equations together,

y = mx + c = y = −3.6x + 59

m = -3.6

Therefore, the slope of the equation represent in this scenario is -3.6

What is the solution to the equation 3x+1-6x=72

Answers

Answer:

hope this helps

Step-by-step explanation:

Answer:

=−71/3

Step-by-step explanation:3

+

1

6

=

7

2

{\color{#c92786}{3x}}+1{\color{#c92786}{-6x}}=72

3x+1−6x=72

3

+

1

=

7

2

{\color{#c92786}{-3x}}+1=72

−3x+1=72

2

Subtract

1

1

1

from both sides of the equation

3

+

1

=

7

2

-3x+1=72

−3x+1=72

3

+

1

1

=

7

2

1

-3x+1{\color{#c92786}{-1}}=72{\color{#c92786}{-1}}

−3x+1−1=72−1

3

Simplify

Subtract the numbers

Subtract the numbers

3

=

7

1

-3x=71

−3x=71

4

Divide both sides of the equation by the same term

3

=

7

1

-3x=71

−3x=71

3

3

=

7

1

3

−3−3x​=−371​

5

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=−71/3

x=-\frac{71}{3}

x=−371​

(practice quiz)
Subject: Mathematics ​

Answers

Answer:

look I am not going to answer

Step-by-step explanation:

but do 72.5-14.5 and you will get the answer

A family used a professional decorator to help furnish their new home. The decorator selected $1,580 worth of furnishings. In addition to paying for the purchases, the family paid 4.5% tax on the purchases. The decorator's fee was 12% of the purchases, not including the tax. Write an equation in the form of y=kx to represent the decorator's fee. Then use the equation to calculate the amount of that fee. Round to the nearest hundredths place if necessary.

Answers

Answer:

Step-by-step explanation:

Worth of furnishings = $1580

Tax rate = 4.5%

Tax = 4.5% × $1580 = 0.045 × $1580 = $71.10

Amount paid = $1580 + $71.10 = $1651.10

Since the decorator's fee was 12% of the purchases. This will then be calculated as:

y = kx

where,

y = decorators fee

k = percentage of decorators fee on purchases

x = amount paid

y = 12% × $1651.10

= 0.12 × $1651.10

= $198.132

30 % =30/50 =0.30

IT MEANS 30 %

Answers

Answer:

0.30 does mean 30%

Step-by-step explanation:

b. Which is an equation for the line? *

Answers

Answer:can see the line

Step-by-step explanation:

if it is linear it is =Ax+By=C

Can you help me with this plzzzzzzz

Answers

Answer:

E: x = 13

F: x = 1.5 or 3/2

Step-by-step explanation:

This is for E:

x + 2/3 = 5

All you do is first multiply 5 * 3

and you will get 15

x + 2 = 15

Then you subtract from 15

15 - 2 = 13

So x = 13

This is for F:

10(x - 1) = 5

So all you do is distribute the 100 with x -1

10 * x = 100x

10 * -1 = 100

10x - 10 = 5

Then you add 10 to 15 because the number is -10

5 + 10 = 15

10x = 15

Now you divide by 10 on both sides

10x/10 = 15/10

10x/10 = x

15/10 = 3/2

So the answer for F is 3/2 or 1.5

Mr. Roy was creating bundles for his classes. He had 20 pencils, 80 pens and 55 markers.
He wanted each bundle to contain the same number of pencils, pens and markers.
a) What is the largest number of bundles he could create without any left over?

Answers

Answer:

The largest number of bundles he could create without any left over is 5.

Each bundle to contain 4 pencils, 16 pens and 11 markers

Step-by-step explanation:

Pencils = 20

Pens = 80

Markers = 55

a) What is the largest number of bundles he could create without any left over?

Find the highest common multiple of 20, 80 and 55

20 = 1, 2, 4, 5, 10, 20

80 = 1, 2, 4, 5, 8, 10, 16, 20......

55 = 1, 5, 11, 55

The highest common multiple of 20, 80 and 50 is 5

Pencils = 20 / 5

= 4

Pens = 80 / 5

= 16

Markers = 55 / 5

= 11

The largest number of bundles he could create without any left over is 5.

Each bundle to contain 4 pencils, 16 pens and 11 markers

CD=______x CG fill in the blank

Answers

Answer:

GD

Step-by-step explanation:

January 30, 2019 was the coldest day in Minneapolis-St paul i’m over 20 years the lowest temperature recorded that day was -28f the warmest temperature was 15 higher

Answers

Answer:

Whats the question?????

i think that's true..?

Solve the following system of equations:

x − 2y = 14
x + 3y = 9

Answers

(12,-1) or x=12 and y=-1

EXPLANATION:
you set both equations equal to each other by subtracting the sum and adding it to the equation. once you set them equal to eachother (x-2y-14=x+3y-9)
you can solve by moving everything to one side by subtracting. once you get it all to one side you can start adding common numbers and variables and solve

Answer:

(12, - 1)

Step-by-step explanation:

x - 2y = 14 ......... (1)

x + 3y = 9 ......... (2)

(2) - (1)

(x - x) + (3y - ( - 2y)) = 9 - 14

5y = - 5 ⇒ y = - 1

x + 3( - 1) = 9 ⇒ x = 12

(12, - 1)

Find the exact length of the third side.
60
48

I’m stuck in this helppp

Answers

Here is the correct answer, how I got it, and something to help you for next time :)

Meghan reduced the size of a rectangle to a height of 2 inches. What is the new width if it was originally 24 inches wide and 12 inches tall?

Answers

Answer:

Step-by-step explanation:

2/12 = 1/6

24 * 1/6 = 4

or

12/24 = 2/x

12 x = 48

x = 4

or the original width was twice the length

twice 2 is 4

Select the correct answer. A model rocket was launched from the top of a building. The rocket's approximate height can be modeled by the quadratic equation h = -4.9t2 + 53.9t + 127.4, where h is the rocket's height, in meters, after t seconds. When factored, this equation is h = -4.9(t - 13)(t + 2). What is a reasonable time for it to take the rocket to land on the ground? Answer A 11 seconds Answer B 13 seconds Answer C 2 seconds Answer D 15 seconds

Answers

Answer:

13 seconds.

Step-by-step explanation:

Given

[tex]h = -4.9(t - 13)(t + 2).[/tex]

Required

Determine a reasonable solution for t

To do this, we equate h to 0.

[tex]h = -4.9(t - 13)(t + 2).[/tex] becomes

[tex]0 = -4.9(t - 13)(t + 2).[/tex]

Divide through by -4.9

[tex]0 = (t - 13)(t + 2).[/tex]

Reorder the expression

[tex](t - 13)(t + 2) = 0.[/tex]

Split

[tex]t-13 = 0[/tex] or [tex]t + 2 = 0[/tex]

This gives:

[tex]t = 13[/tex] or [tex]t = -2[/tex]

But time can't be negative, So:

[tex]t = 13[/tex]

Ezra has two weeks to sell popcorn to earn money for camp. For each unit of popcorn that he sells, Ezra will earn $5. He wants to earn at least $250
. During the first week he earned $105.
How many units of popcorn must Ezra sell in the second week to earn at least $250 in the two weeks combined?

Answers

okay so-
in the first week he sold 21 units of popcorn
he needs to sell 50 units in all
so 50-21= 29
he needs to sell 29 more units of popcorn

The number of units that needs to be sold to earn at least $250 is 20.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

The minimum amount that needs to be earned = $250

One unit cost = $5

The amount earned in the first week = $105

Number of units = x

The number of units to sell in the second week.

150 + 5x ≥ 250

5x ≥ 250 -150

5x ≥ 100

x ≥ 20

Thus,

20 units need to be sold to earn at least $250.

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ2

The savings account offering which of these APRs and compounding periods

offers the best APY?


A. 4.0784% compounded monthly

B. 4.0792% compounded quarterly

C. 4.0730% compounded daily

D. 4.0798% compounded semiannually

Answers

Answer:

The answer is "Option C"

Step-by-step explanation:

The using formula[tex]= (1+\frac{r}{n})^n -1[/tex]

→r = rate

→ n = compounded value

In choice a:

When compounded is monthly [tex]4.0784\%[/tex]  

[tex]n = 12[/tex]

[tex]\to (1+ \frac{0.040784}{12})^{12} = 1.0403-1 = 0.0403[/tex]

In choice b:

When compounded is quarterly[tex]4.0792\%[/tex]

[tex]n = 3\\\\\to (1+ \frac{0.040792}{12} )^{3} = 1.0102-1 = .0102[/tex]

In choice c:

Whenn compounded is daily [tex]4.0730 \%[/tex]

[tex]n = 365\\\\\to (1+ \frac{0.040730}{12})^{365} = 3.328-1 = 2.328[/tex]

In choice d:

When compounded is semiannually[tex]4.0798\%[/tex]

[tex]n = 2\\\\\to (1+ \frac{0.040798}{12})^{2} = 1.0066-1 = 0.0066[/tex]

Mrs. Gildner brought everyone that passed their Math test to Cold Stone Creamery for a treat. The cost for everyone to ice cream was $154.00. If she leaves a 15% tip, how much tip will she leave?

A. $130.90


B. $177.10


C. $139.00


D. $23.10

Answers

It’s obviously C. Lol your welcome

which point is on the graph of f(x) = 6x?
answer: (1,6)

Answers

The reply correct is 6,1 coordinate
Answer: correct

Explanation

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

Answers

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  

There are 32 marbles to share equally among 8 children. How many marbles does each child get?

Answers

Answer:

each child get 4

Step-by-step explanation:

Answer:

4 marbles

Picture:

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Question in image :)

Answers

Answer:

A

x=> -6 is the inequality that represents the answer best.

Help me plz grades are almost due

Answers

Answer:

D. 348 square units

Step-by-step explanation:

D. 348 square units

Answer 432: B

Step-by-step explanation: You have to multiply

9 times 6 times 8.

Your Assignment
Answer the questions to describe the transformations of figure ABCD.

1. Is A'B'C'D' a translation, rotation, or reflection of ABCD? Explain how you can tell.

Write your answer in the space below.














2. Is A"B"C"D" a translation, rotation, or reflection of A'B'C'D'? Explain.

Write your answer in the space below.














3. Suppose the measure of ∠B is 89°. Which other angles must measure 89°? How do you know?

Write your answer in the space below.














4. What is the perimeter of A"B"C"D"? Explain how you found the perimeter.

Answers

Answer:

i don't have the answer but i can add the chart for thos who can answer the question

Step-by-step explanation:

Answer:

1. Reflection

2. rotation and reflection

3. b', b''

4. 26.3

Step-by-step explanation:

1. It is like looking in a mirror. Its is being reflected across the y axis

2. It is rotated 90 degrees to the right. Then reflected over the x axis.

3. they are the same

4. It is the same as A" B" C" D" so the lengths are the same and you just add them.

Step-by-step explanation:

Find the range for the domain {-3, 1,4.5} f(x) = 2x

Answers

Answer:

Step-by-step explanation:

f(x) = 2x2

Range = {f(-3), f(1), f(4), f(5)} = {18, 2, 32, 50}

Grace was driving down a road and after 4 hours she had traveled 66 miles. At this speed, how many miles could Grace travel in 8 hours?

Fill out the table of equivalent ratios until you have found the value of x.

Answers

Answer:

132 miles

Step-by-step explanation:

4 is half of 8 so you just have to multiple everything by 2 to get your answer

Answer:

132

Step-by-step explanation:

Since in four hours you can travel 66 miles, 8 hours would be 66x2, which is 132.

1hour=16.5

2hour=33

3hour=49.5

4hour=66

5hour=82.5

6hour=99

7hour=115.5

8hour=132

A bag contains 120 marbles. Some are red and the rest are black. There are 19 red marbles for every black marble. How many red marbles are in the bag?

Answers

Answer:

6

Step-by-step explanation:

brainest plz

What is the quotient?

Answers

Answer:

just post them all in one question instead of a ton of different questions. it's annoying.

Step-by-step explanation:

The ratio of girls to boys in a class is 3:2. There are 25 students in this class. How many are girls and how many are boys? REPOST FOR ATTENTION

Answers

Answer:

15:10

Step-by-step explanation:

consider the starting point: we have 3 bots and 2 girls. this gives a total count of 5 so we need to see how many lots of 5 will fit into 25. 5 lots of 5 gives 25 so we have 5 lots of the ratio 3:2 Method: 5 lots of 3:2: 5 x (3:2)=(5 x 3):(5 x 2)= 15:10

holaaaaaaaaaaaaaaaaaaaaaaaaaa

Answers

Answer:

HIIIIIIIIIIII

Step-by-step explanation:

HIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII
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