The remainder after diving x^4+3x^3-8x^2+5x-9 by x+5 is ____.

Answers

Answer 1

Use the polynomial remainder theorem. It says that a polynomial \(f(x)\) has remainder \(f(c)\) upon division by \(x-c\).

Here we have

\(f(x)=x^4+3x^3-8x^2+5x-9\)

and \(c=-5\), so the remainder is

\(f(-5)=(-5)^4+3(-5)^3-8(-5)^2+5(-5)-9=\boxed{16}\)


Related Questions

PLEASE HELP!! Rational functions, find the sum

PLEASE HELP!! Rational functions, find the sum

Answers

Answer:

Answer is option D

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

Problem 1.) A researcher claims that 96% of college graduates say their college degree has
been a good investment. In a random sample of 2000 graduates, 1500 say their college degree has
been a good investment. At a = 0.05 is there enough evidence to reject the researcher's claim?

Answers

Answer:

 |Z| = |-52.5|  = 52.5 > 1.96 at 0.05 level of significance

 Null  hypothesis is rejected

We rejected the researcher's claim

A researcher do not claims that 96% of college graduates say their college degree has been  a good investment.

Step-by-step explanation:

Explanation:-

Given data A researcher claims that 96% of college graduates say their college degree has  been a good investment.

Population proportion 'P' = 0.96

                                       Q = 1-P = 1- 0.96 = 0.04

In a random sample of 2000 graduates, 1500 say their college degree has

been a good investment.

Sample proportion

                       \(p^{-} = \frac{x}{n} = \frac{1500}{2000} = 0.75\)

Level of significance  ∝ = 0.05

\(Z_{\frac{\alpha }{2} } = Z_{\frac{0.05}{2} } = Z_{0.025} = 1.96\)

Test statistic

                        \(Z = \frac{p^{-} - P }{\sqrt{\frac{PQ}{n} } }\)

                        \(Z = \frac{0.75 - 0.96 }{\sqrt{\frac{0.96 X 0.04}{2000} } }\)

                        \(Z = \frac{-0.21}{0.00435} = -52.5\)

    |Z| = |-52.5|  = 52.5 > 1.96 at 0.05 level of significance

  Null  hypothesis is rejected

  We rejected the researcher's claim

Conclusion:-

A researcher do not claims that 96% of college graduates say their college degree has been  a good investment.

     

witch expression represents a number 5 times the difference of 6 and 2

Answers

Answer:

i think it is 20

Step-by-step explanation:

6-2=4

4×5=20

A number between 10 and 100 is four times the sum of its digits. If the product of two digits is 8, find the sum of digits of the number.​

Answers

Answer:

24 is the number. The sum of its digits is 6.

Step-by-step explanation:

There are four two-digit numbers the product of whose digits is 8: 18, 24, 42, and 81. Of these numbers, 24 is four times the sum of its digits:

24 = 4 × 6 = 4 × (2 + 4)

A father is four times as old as his son. In two years the will have been five times as old as his son was two years ago. How old is the father?

Answers

Answer:

Q13)A man is four times as old as his son. After 20 years, he will be twice as old as his son at that time. Find their present ages. Present age of the father is = 4 x = 4 × 10 = 40 4x=4\times10=40 4x=4×10=40 years.

Been stuck on this problem for the past 40 mins! Please help me

Been stuck on this problem for the past 40 mins! Please help me

Answers

Answer:

  EFDBAC

Step-by-step explanation:

The math clues tell you ...

  F ≈ 6.23×1.7 -8.73 = 10.591 -8.73 = 1.861 ≈ 2

  A = (3 1/3)/(2/3) = (10/3)/(2/3) = 10/2 = 5

So, the seat occupants are ...

  __ F __ __ A __

Since Freddy is one of two who sit between Bella and Ella, we know that Bella and Ella must be in seats 1 and 4. Charlie is in an end seat, so must be in seat 6. That leaves Danielle in seat 3. Danielle does not sit next to Ella, so Bella must be in seat 4.

The seat order is ...

  EFDBAC

Josh bought 8 chocolate bars for $7.00. What is the unit rate? ( round to the nearest cent)

Answers

Answer:

87

Step-by-step explanation:

If g(x) = x2 + 3, find g(4).

11
19
16
8

Answers

19 since g(x)=(4)^2+3
4^2=16
16+3=19
the answer is 19!! :))

Two thousand nine hundred seveteen

Answers

Answer:

in written form, it would be 2,917

hope this helps! <3

Why are all of the questions that I ask I get the wrong answers I paid to be able to use this site and all of the answers I get on this site are wrong

Answers

Answer:

I have no idea

Step-by-step explanation:

double check with other people before trusting people from the internet some people would rather see you fail than succeed hope you figure out whatever problems you were having good luck

Double check by looking at their rank

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answers

Answer:

they all go straight across

Step-by-step explanation:

Answer:

Go across from each

Step-by-step explanation:

What is the volume in milliliters of 7.06 g of acetone?
Express your answer to three significant figures and include the appropriate units.

Answers

Answer:

V = 9 mL

Step-by-step explanation:

Given that,

The mass of acetone, m = 7.06 g

The density of acetone, d = 0.784 g/cm³

We need to find the volume of 7.06 g of acetone.

We know that,

Density = mass/volume

\(V=\dfrac{m}{d}\\\\V=\dfrac{7.06\ g}{0.784\ g/cm^3}\\\\V=9\ cm^3\)

or

V = 9 mL

So, the required volume is 9 mL.

Find the value of X below

Find the value of X below

Answers

the answer should be x=100

what is .006 is 1/10 of __

Answers

.06 or 6/100

1) To find out the factor that multiplied by 1/10 yields .0006 let's do the following:

2) Rewrite .006 as a fraction:

\(0.006=\frac{6}{1000}\)

2.2) Then we can write out the following equation:

\(\begin{gathered} \frac{6}{1000}=\frac{1}{10}\cdot\frac{6}{100} \\ \frac{6}{10000}=\frac{6}{10000}\text{True!} \\ \\ 0.006=\frac{1}{10}\cdot0.06 \\ 0.006=0.006\text{ True} \end{gathered}\)

Note that 0.006 or 6/1000 is 1/10th of 0.06

3) Hence, then the answer is 0.006 is 1/10 of 0.06

Evaluate the expression (2b+3a)×(c to the power of 2) when a=4 , b=3 , and c=1/3 .

Answers

Answer:

2

Step-by-step explanation:

(2b+3a) x (c power 2)

2*3+3*4 x 1/3 power 2

6+12 x 1/9

18 x 1/9

2 x 1 (because 9 and 18 are cutted by each other)

2

Answer:

2

Step-by-step explanation:

To evaluate the expression (2b+3a)×(c^2) when a=4, b=3, and c=1/3, we substitute the given values into the expression and perform the indicated arithmetic operations:

(2b + 3a) × (c^2)

= (2(3) + 3(4)) × ((1/3)^2) (substitute a=4, b=3, c=1/3)

= (6 + 12) × (1/9) (evaluate 2(3) + 3(4) and (1/3)^2)

= 18/9

= 2

Therefore, when a=4, b=3, and c=1/3, the expression (2b+3a)×(c^2) equals 2.

I NEED HELP PLS HURRY

1. Write each expression with a single exponent:
a. (10^7)²
b. (10^9)³
c. (10^6)³
d. (10^2)³
e. (10³)²
f. (10^5)^7

Answers

a. 10^14
b. 10^27
c. 10^18
d. 10^6
e. 10^6
f. 10^35

multiply the exponents.

Answer:

We use the rule,

\((a^b)^c = a^{bc}\)

a. (10^7)²

\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)

10^14

b. (10^9)³

\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)

10^27

c. (10^6)³

\(10^{(6)(3)}= 10^{18}\)

10^18

d. (10^2)³

\(10^{(2)(3)} = 10^{6}\)

10^6

e. (10³)²

\(10^{(3)(2)}=10^{6}\)

10^6

f. (10^5)^7

\(10^{(5)(7)} = 10^{35}\)

10^35

Step-by-step explanation:

A recipe requires 3 cups of flour to make 15 servings and 7 cups of flour to make 35 servings how many cups of flour are needed to make 20 servings?

Answers

Answer:

a = 8

b = 2

c = 48

Step-by-step explanation:

3 cups of flour is needed to make 24 servings.

3:24

Simplify. First, divide 3 from both sides of the ratio.

(3)/3 : (24)/3

1:8

Next, solve for b. You multiply 2 to 8 to get 16. Next, multiply 2 to 1

1 x 2 = b = 2

Finally, multiply 8 to 6 to get c.

8 x 6 = c = 48

~

There are 3 feet in 1 yard. Find the number of feet in 15 yards

Answers

Answer:

45 feet

Step-by-step explanation:

15 times 3 =45

Answer: 45 ‘

Step-by-step explanation:

4x-3(x+4)=7 i need to know this i need help with this.

Answers

Answer:

x=19

Step-by-step explanation:

4x-3x-12=7

x-12=7

x=7+12

x=19

Answer:

x=19

Step-by-step explanation:

first you would distribute the -3 to the x and the 4 which would give you

4x-3x-12=7

next you would combine like terms (there's always an invisible 1 one front of a variable)

x-12=7

then to get the variable by itself you would add 12 on each side

x=19

hope this helped :)

free think fast 20X10

Answers

20x10=200 Regards To you

Answer:

200 yessir

Step-by-step explanation:

A lot of points. PLEASE HELP! I will mark brainliest. Whoever gets it right first.

A lot of points. PLEASE HELP! I will mark brainliest. Whoever gets it right first.

Answers

the answer is: FE ~ QS
- the last one is your answer, you can use the small lines on the side of triangle to help you know which ones match with each other

1/2 sin x sin (2x) + Cos 3 x

Answers

Answer:

1.047734151

Step-by-step explanation:

Type into calculator

1/2sin(2x)+cos(3x)

what value of X makes the model true?

what value of X makes the model true?

Answers

The value of x is -1 which makes the model true

The equation from the given model will be 5x+6=1

We have to find the value of x

5x+6=1

Subtract 6 from both sides

5x=-5

Divide both sides by 5

x=-1

Hence, the value of x is -1 which makes the model true

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5x≥25 help th bewbsanks

Answers

X is greater than or equal to 5




To get this answer, we simply divide by five on both sides to isolate x

Identify the y-intercept of the graph of the equation:
y = ½ x – 8
Question 1 options:

-8


1/2


-1/2


8

Answers

Answer:

-8

Step-by-step explanation:

This function is in slope intercept form, y=mx+b.

m being the slope, b being the y-intercept.

Notice -8 stands for b in this problem.

Thus, the y-intercept of this function is -8.

What is the distance of AB

What is the distance of AB

Answers

Answer:

It's around 9.22

Step-by-step explanation:

Answer:

\(\sqrt{85}\)

Step-by-step explanation:

Distance formula.

(-7, -2) (2, -4)

-7 minus 2, you get -9. Squared is 81.

-2 minus -4 gets you 2. Squared is 4.

Add 81 & 4. You get 85.

Square root 85, there's your answer.

b. Passes through the point (2, -4) and is parallel to 3x + y = 5



c. Passes through the point (2, -4) and is perpendicular to 3x + y = 5

b. Passes through the point (2, -4) and is parallel to 3x + y = 5c. Passes through the point (2, -4)

Answers

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

\(3x+y=5\implies y=\stackrel{\stackrel{m}{\downarrow }}{-3}x+5\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so we're really looking for the equation of a line that has a slope oif -3 and it passes through (2 , -4)

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ - 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{- 3}(x-\stackrel{x_1}{2}) \implies y +4 = - 3 ( x -2) \\\\\\ y+4=-3x+6\implies {\Large \begin{array}{llll} y=-3x+2 \end{array}}\)

now, keeping in mind that perpendicular lines have negative reciprocal slopes

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ -3 \implies \cfrac{-3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-3} \implies \cfrac{1}{ 3 }}}\)

so for this one, we're looking for the equation of a line whose slope is 1/3 and it passes through (2 , -4)

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{ \cfrac{1}{3}}(x-\stackrel{x_1}{2}) \implies y +4 = \cfrac{1}{3} ( x -2) \\\\\\ y+4=\cfrac{1}{3}x-\cfrac{2}{3}\implies y=\cfrac{1}{3}x-\cfrac{2}{3}-4\implies {\Large \begin{array}{llll} y=\cfrac{1}{3}x-\cfrac{14}{3} \end{array}}\)

Convert to decimal form/ 3.1 x 10^6

Answers

Answer:

0.000036 i think it the answer

Hey guys i need your help please

Hey guys i need your help please

Answers

The matrix after the row operation is:

\(\left[\begin{array}{ccc}1&4/9&-1\\-43&-19&44\end{array}\right]\)

We have,

We use the operation R1 → R1/9.

This will give us,

Row 1 values will change to 9/9, 4/9, -9/9

So,

1, 4/9, -1

Now,

\(\left[\begin{array}{ccc}1&4/9&-1\\-43&-19&44\end{array}\right]\)

Thus,

The matrix after the row operation is:

\(\left[\begin{array}{ccc}1&4/9&-1\\-43&-19&44\end{array}\right]\)

Learn more about matrix here:

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Which of the following is a right triangle?
A.
a triangle with sides measuring 13, 15, and 19
B.
a triangle with sides measuring 17, 25, and 36
C.
a triangle with sides measuring 20, 21, and 29
D.
a triangle with sides measuring 18, 23, and 41

Answers

Answer:

Step-by-step explanation:

the right choice is C

you use c^2=a^2+b^2

where the largest side is the hypotenuse

Answer:

C.

a triangle with sides measuring 20, 21, and 29

Step-by-step explanation:

As, √(20)²+(21)² = √400+441 = 841 = 29

The longest side is taken as the hypotenuse. So 29 is the hypotenuse. Which by using Pythagoras' theorem gives us 29 ( h=+p² )

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