What is the remainder of f(x)=x^3+x^2-9x+23 When divided by binomial X +4

Answers

Answer 1

Answer:

The remainder is 11.

Step-by-step explanation:

We are given the polynomial:

[tex]f(x) = x^3 + x^2 - 9x + 23[/tex]

And we want to find its remainder when the polynomial is divided by:

[tex]x + 4[/tex]

We can use the Polynomial Remainder Theorem. According to the PRT, if we divide a polynomial P(x) by a binomial in the form (x - a), the remainder will be given by P(a).

In this case, our binomial is (x + 4) or (x - (-4)). Hence, a = -4.

Then the remainder will be f(-4):

[tex]\displaystyle \begin{aligned}f(-4) &= (-4)^3 + (-4)^2 - 9(-4) + 23 \\ &= 11 \end{aligned}[/tex]

In conclusion, the remainder of the operation is 11.


Related Questions

67. Evaluate 2a - 3 when a = - 5

Answers

Answer:

-13

Step-by-step explanation:

2a - 3, where a = -5

= 2(-5) - 3

= -10 - 3

= - 13

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\huge\textsf{2a - 3}\\\\\huge\textsf{= 2(-5) - 3}\\\\\huge\textsf{= -10 - 3}\\\\\huge\textsf{= -13}\\\\\\\huge\textsf{Therefore, your answer is: \boxed{\mathsf{-13}}}\huge\checkmark\\\\\\\huge\textsf{Good luck on your assignment \& enjoy your day!}\\\\\huge\textsf{Amphitrite1040:)}[/tex]

A number divided by 4 plus 3 is 8

Answers

Answer:

[tex]number = x \\ \frac{x}{4} + 3 = 8 \\ \frac{x}{4} = 5 \\ x = 20 \\ thank \: you[/tex]

Answer:

[tex]let \: the \: number \: be \: x \: \\ then \: \\ \frac{x}{4} + 3 = 8 \\ \frac{x}{4} = 8 - 3 \\ \frac{x}{4} = 5 \\ x = 5 \times 4 \\ x = 20 \\ \: hence \: 20 \: is \: your \: answer \:hope \: it \: helped[/tex]

What is the answer to this?

Answers

Answer:

18

Step-by-step explanation:

x+11=3x-25

36=2x

x=18

A bag contains 170 marbles. There are red, blue and yellow marbles in a ratio of 9:3:5. How many yellow marbles does the bag contain?

Answers

Answer:

50 yellow marbles.

Step-by-step explanation:

Information:

170 marbles

RED : BLUE : YELLOW

9 : 3 : 5

Solving:

To find out how many yellow parts there are, we need to find out how many marbles 5 parts account to.

Altogether, 9 + 3 + 5 = 17. This means there are 17 parts.

The bag contains 170 marbles and the ratio adds up to 17 parts.

We can figure out what 1 part of the ratio accounts to by dividing 170 by 17.

[tex]\frac{170}{17}[/tex] = 10.

1 part = 10

Now remember yellow is 5 parts, now that we know that 1 part is 10, we need to multiply 10 by 5 to find out how many yellow marbles we have.

5 x 10 = 50.

Therefore we have 50 yellow marbles.

The number of yellow marbles in the bag is 50

Ratio shows the relationship among numbers. Ratio is the frequency a value is contained in other values.  For example, if the ratio of boys to girls in a class is 2:1. It means that there are twice as many boys in the class as there are boys.

In order to determine the number of yellow marbles in the bag, express the ratio of the yellow marbles as the sum of the total ratio and multiply by the total number of marbles in the bag.

Number of yellow marbles = (ratio of yellow marbles / sum of ratios) x total number of marbles

Sum of ratios = 9 + 3 + 5 = 17

(5 / 17) x 170 = 50 marbles.

To learn more about ratios, please check: https://brainly.com/question/19257327?referrer=searchResults

the result of a multiplication of two or more
terms

Answers

Answer:

Product

Step-by-step explanation:

Product is the result of a multiplication of two or more terms.

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Answer:

B=Product

C=polynominal

D=distirbutive property

Step-by-step explanation:

Find any domain restrictions on the given rational equation x/x+4 + 12/x^2+5x+4 = 8x/5x-15

Answers

Answer:

x ≠ -4, -1, 3

Step-by-step explanation:

12/(x^2+5x+4) = 8x/(5x-15)

12/((x+1)(x+4)) = 8x/(5(x-3))

division by zero is undefined

There are 3 answers to your question. x= -1 x= 3 x= -4

please answer my question it's urgent​

Answers

a = 16

Solution:common ratio = (-1/8)/(1/16)=-2

a1 = 1/6

n=9

an = a1 (r n-1)a9 = a1

a9 = 1/16 (-2 9-1)

a9 = 1/16 (-28)

a9 = 1/16 (256)

a9 = 16

I hope this helps :)

Help Me quick my cousin needs to get this done I’ll give you 10 extra points for who ever picked the correct answer please and thank you!

Answers

Answer:

A. [tex] \cos \: x - 4 \: \cos \: x \: { \sin}^{2}x[/tex] (first option)

Step-by-step explanation:

➡️ [tex] \cos(x + 2x) [/tex]

➡️ [tex] \cos \: x \: { \cos}^{2} x - \sin \: x \: { \sin }^{2} x[/tex]

➡️ [tex] \cos \: x(1 - 2 \sin^{2}x) - \sin \: x \times 2 \sin(x) \cos(x) [/tex]

➡️ [tex] \cos(x) - 2 \sin^{2} x \cos(x) - 2 \sin^{2} x \cos(x) [/tex]

➡️ [tex] \cos(x) - 4 \cos(x) \sin^{2} x[/tex]

Answer pls urgent shhzhzhsensnsj

Answers

Answer:

1/6 + 1/2 = 1/6 + 3/6 = 4/6

SIMPLIFIED IS = 2/3

Step-by-step explanation:

Use the following conversions to answer the question.
60 seconds = 1 minute
60 minutes = 1 hour
24 hours = 1 day
How many minutes are there in a week?
A. 420
B. 1,400
C. 10,080
D. 604,800

Answers

Answer:

C. 10,080

Step-by-step explanation:

There are 60 minutes in an hour, therefore 60 * 24 = minutes in a day and, 60 * 24 * 7 = minutes in a week, so 60 * 24 = 1440. and 60* 24 * 7

1440 * 7 = 10080 minutes in a week.

C. 10,080

60•24=1,440
1,440•7=10,080

The difference of v and 5 is less then or equal to g?

Answers

Answer:

i can answer that if v and g were representing integers. if not, then then this can`t be solved

Ben paid $86 for 40 gallons of gas. How much would $15 gallons cost?

Answers

Answer:

32.25

Step-by-step explanation:

For 40 gallons of gas = $86

For 1 gallon of gas = 86/40 = $2.15

For 15 gallons of gas = 15 x 2.15 = 32.25

Supplementary angles are pairs of angles whose measures total 180º. Determine the measure of
supplementary to an angle with a measure of 92°

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

88°

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

As mentioned in the question, supplementary angles add up to 180°.

⸻⸻⸻⸻

[tex]\boxed{\text{Setting Up An Equation...}}\\\\a + 92 = 180\\----------\\ a - \text{Unknown angle measure.}\\----------\\\rightarrow a + 92 - 92 = 180 - 92\\\\\rightarrow \boxed{ a = 88}[/tex]

⸻⸻⸻⸻

The unknown angle measurement should be 88°.

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.

use the given sets to answer the following questions A=1,3,5,7 B=2,3,4,5,6,8 c=2,3,5 D=1,2,3,4,5,6,8

Answers

Step-by-step explanation:

Steps are in the picture above.

Đại số tuyến tính sinh viên

Answers

Answer:

si

Step-by-step explanation:

What is p (blue)? ......

Answers

Answer:

P(blue)= 0.25 or 1/4

Step-by-step explanation:

On this spinner, each spot is the same size; therefore, there is a 1 in 4 chance that the spinner lands on blue. This is because there are 4 options but only one of them is blue. Then, if you want a decimal just divide 1 by 4. This equals 0.25. Additionally. If you wanted the answer as a percentage multiply the decimal by 100, so the percentage would be 25%.

Find the slope of the line passing through the points ( 9, -5) and (1, -1)

Answers

Answer:

m = - [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{2} }[/tex]

~~~~~~~~~

( 9 , - 5 )

( 1 , - 1 )

m = ( - 1 - ( - 5 ) ) / ( 1 - 9 ) = - [tex]\frac{1}{2}[/tex]

1. If x = y and x + 2y = 6 then find value of 'y'.
I don know

Answers

hi <3

you can solve this by substituting one equation into the other.

in this case, it is more simple to substitute the first equation into the second, as it is already arranged into a simple format

so:

y + 2y = 6

now you can simplify:

3y = 6

divide both sides by 3 to get your answer:

y = 2

hope this helps <33

ANSWER BOTH IF POSSIBLE

Answers

Answer:

Question 8: (3,12)

Question 9: (8,-9)

Step-by-step explanation:

Question 8.

(5+x)/2 = 4

5+x=8

X = 8-5

X=3

(-6+y)/2=3

-6+y=6

Y=12

Question 9

(-2+x)/2=3

-2+x=6

X=8

(9+y)/2=0

9+y=0

Y=-9

Consider the following expression

Answers

I think that the anwser is probably 10.6

12. Write an expression for the phrase 3 times the quantity 7 less than m
A. 3(m - 7)
B. 317-m)
C. 3(m + 7)
D. 3 + m - 7

Answers

Answer:

A

Step-by-step explanation:

7 less than m=m-7

multiplied by 3 = 3(m-7)

Answer:

C. 3(m + 7)

Step-by-step explanation:

First,

7 less than m = m - 7

Then,

3 times the quantity of 7 less than m = 3 ( m - 7 )

Hence,

Req. expression is 3(m-7)

Add.

−5/6+(−2 5/8)

Enter your answer as a simplified fraction by filling in the boxes.

Answers

here’s your answer :)

Step-by-step explanation:

[tex] - \frac{5}{6} + ( - 2 \frac{5}{8} )[/tex]

[tex] = - \frac{5}{6} - \frac{21}{8} [/tex]

[tex] = \frac{ - 20 - 63}{24} [/tex]

[tex] = \frac{ - 83}{24} (ans)[/tex]

(3 x 9) - (3 x 4) = ? x (9 - 4)

Answers

Answer:

15

Step-by-step explanation:

3×9 =27

3×4= 12

27-12= 15

:) hope it helps

X=3
Solving Steps:
(3x9)-(3x4)=x(9-4)
27-12=x•5
15=5x
5x=15
X=3

Write an equation of the circle (6, -3) and radius 12.
This is my answer:
(x-6)^2 + (y+3)^2= 144
Is my answer correct? ^ means exponent

Answers

Answer:

(x-6)^2 + (y+3)^2= 144

Step-by-step explanation:

The equation of a circle can be written in the form

(x-h) ^2 + (y-k) ^2 = r^2 where (h,k) is the center and r is the radius

( x-6) ^2 + ( y--3)^2 = 12^2

(x-6)^2 + (y+3)^2= 144

The normal blood glucose level is between 70 mg/dL and 130 mg/dL. Write a compound inequality to represent the values at which blood glucose is not normal.

Answers

Let the input be x

x is greater than or equal to 70mg/dl.x is less than or equal to 130mg/dl.

[tex]\\ \rm\Rrightarrow x\geqslant 70mg/dl[/tex]

[tex]\\ \rm\Rrightarrow x\leqslant 130mg/dl[/tex]

Now

[tex]\\ \rm\Rrightarrow 70mg/dl\leqslant x\leqslant 130mg/dl[/tex]

Or

[tex]\\ \rm\Rrightarrow 130mg/dl\geqslant x\geqslant 70mg/dl[/tex]

Answer:

70 ≤ x ≤ 130

130 ≥ x ≥ 70

Step-by-step explanation:

We know that a persons glucose level can only be equal to or between 70 and 130 mg/dL. We can create an inequality to represent this;

70 < x < 130

This means that anything in between will work but anything less or more will not. You can also write this inequality as 130 > x > 70.

In word form you would say this:

A humans glucose level can only be more than or equal to 70 and less than or equal to 130.

Best of Luck!

This is the only one I’m stuck onnn omg

Answers

The answer is -7

Explanation
A plus and minus equal to minus
So it is -3 -4 which is equal to -7

Is that the right answer..?

Answers

9514 1404 393

Answer:

  the correct answer is 47

Step-by-step explanation:

You are correct down to the part where you're adding the numbers.

  50 -10 +7 = 40 +7 = 47

__

The sign of the 7 is positive. The minus sign only applies to 10.

_____

Additional comment

Here, 50 -10 is an easy sum. Sometimes it is easier to add all the positive numbers, then subtract the sum of the negative numbers. Here, that would look like ...

  (50 +7) -(10) = 57 -10 = 47

Final grades are often computed using weighted averages. Some college professors use complicated weighted averages. Your college professor tells you he will give a 33%-67% split on grades between tests and homework where whichever average is higher will be the 67%.

What will your final grade be if your homework average is 95 and your test average is 56?

Answer value

Answers

Using weighed averages, it is found that your final grade will be of 82.13.

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

The weighed average is given by the sum of the grades multiplied by it' weights.The homework grade is 95.The test grade is 56.The higher grade is worth 67% of the grade. Thus, the homework grade, of 95, is worth 67% of the final grade.The lower grade is worth 33% of the grade. Thus, the test grade, of 56, is worth 33% of the final grade.

Using the data and the weighed average concept, the final grade is:

[tex]G = 0.67(95) + 0.33(56) = 82.13[/tex]

The final grade is 82.13.

A similar problem is given at https://brainly.com/question/24398353

what fraction of the Earth's surface would be covered by the surface of the moon,if the radius of the Earth is 6,378km and the radius of the moon is 1.741km?​

Answers

Answer:

3031081 / 40678884

Step-by-step explanation:

To solve this, we can find the surface area of the moon and Earth, and then see how much the moon covers the Earth. The surface area of a sphere is equal to 4πr², so the radius of the Earth is

4πr² = 4 * π * 6378²

and the radius of the moon is

4πr² = 4 * π * 1741²

To figure out how much of the Earth's surface that the moon covers, we can implement a ratio of moons:Earth. This will give us an understanding of how many moons go inside one Earth. We thus have

(4 * π * 1741²) : ( 4 * π * 6378²) = (4 * π * 1741²) / ( 4 * π * 6378²)

cross out the 4 * π in the numerator and denominator

1741²/6378²

Next, we want to make the denominator 1, as that gives us 1 Earth. To do this, we can divide both the numerator and denominator by 6378². Because we are applying the same expression to both the numerator and denominator, this is essentially multiplying the fraction by 1, keeping it the same. We thus have

(1741²/6378²)/(6378²/6378²)

≈0.0745/1

≈ 0.0745

To put this in a fraction, we would have

(1741²/6378²)/1

= (1741²/6378²)

= 3031081 / 40678884

HELP I NEED SOMBODEY HELP NOT JUST ANYONE JK HELP ME PLSSSSS

Answers

You cross multiply/butterfly method so 5•6= 30 and 5•8=40 so it would be 30/40 OR 3/4 simplified
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