If f(x) = x4 – 4x3 + 1, then what is the remainder when f(x) is divided by
X - 6?

Answers

Answer 1

Reminder = f ( 6 )

Thus :

[tex]f(6) = {6}^{4 } - 4( {6})^{3} + 1[/tex]

[tex]f(6) = 1296 - 864 + 1[/tex]

[tex]f(6) = 433[/tex]

Thus ;

[tex]remider = 433[/tex]


Related Questions

The ratio of boys to girls in a group is 2:1. If there are 26 more boys than girls, work out how many boys there are.

Answers

Answer : 52 boys : 26 girls

Step - by - step explanation :

Now we can guess, whatever number we put HAS to be 26 more boys than girls and it has to follow the 2 boys : 1 girl ratio . . .

26 boys : 13 girls <-- this follows the 2:1 ratio but is NOT 26 more boys than girls

52 boys : 26 girls <-- this follows the 2:1 ratio and has 26 more boys than girls ! :D

One triangle weighs how much

Answers

Answer:

13

Step-by-step explanation:

Plzzzz help meeeee plzzzzzzzz

Answers

Answer:

$0.70

Step-by-step explanation:

70cents is the same as 70/100. so, this would be 0.70.

Hope this helps!

Divide. Round your answer to the nearest thousandth.
2,891.3030 - 0.728=

Answers

Answer:

3971.570

Step-by-step explanation:

The answer is 3,971.570

please i need help asap

Answers

Answer: d. Shift units up

Step-by-step explanation:

f(x) = 3^x + 2 means that it must go up by two units.

[tex]41 \times 28 - 36 \div 32 + 17 \times 21 - 18 = [/tex]
answere please ​

Answers

Answer:

The answer is 1485.875.

Step-by-step explanation:

[tex]\large{\tt{\underline{\underline{\pink{SOLUTION:}}}}}[/tex]

To solve the above equation we will follow the BODMAS rule.

[tex]\blue\star[/tex] BODMAS is an order of mathematic operations.[tex]\blue\star[/tex] BODMAS rule is to be followed while solving expressions in mathematics.

It stands for :

[tex]\purple\star[/tex] B = bracket[tex]\purple\star[/tex] O = order of power[tex]\purple\star[/tex] D = division[tex]\purple\star[/tex] M = multiplication[tex]\purple\star[/tex] A = addition[tex]\purple\star[/tex] S = subtraction

Solving this question by bodmas rule :

[tex]\begin{gathered}\quad{\sf{ = 41 \times 28 - 36 \div 32 + 17 \times 21 - 18}}\\\\\quad{\sf{ = 41 \times 28 - \dfrac{36}{32} + 17 \times 21 - 18}}\\\\\quad{\sf{ = 41 \times 28 - 1.125+ 17 \times 21 - 18}}\\\\\quad{\sf{ = 1148 - 1.125+ 357 - 18}}\\\\\quad{\sf{ = (1148+ 357) - (1.125 + 18)}}\\\\\quad{\sf{ = (1505) - (19.125)}}\\\\\quad{\sf{ = 1505- 19.125}}\\\\\quad{\sf{ = 1485.875}}\end{gathered}[/tex]

Hence, the answer is 1485.875.

[tex]\rule{300}{2.5}[/tex]

The next term in the geometric sequence -1, -2, -4 __ is -6.


True or False

Answers

Answer:

False

Step-by-step explanation:

It is multiplied by 2 so the next answer would be -8 not -6 hope this helps!:)

The Lawrence Art Museum offers individual memberships for $49.50. Once someone has
purchased an individual membership, he or she can go to the museum for just $5 per visit.
What is the cost of becoming a member and visiting the museum 12 times?

Answers

Answer:

109.50

Step-by-step explanation:

cost of membership + individual visit price

49.50+ 12*5          (cost of membership plus amount of visits * ticket price)

109.50

In the figure below, m∠1 = x and m∠2 = x - 8. Which statement could be used to prove that x = 49?
A) m∠1 = m∠2
B) m∠2 = 47
C) m∠1 + m∠2 = 90
D) m∠1 + m∠2 = 180

Answers

Answer:

option C can be used.

Step-by-step explanation:

hope this helps you.

find the slope of the line that contains each pair of points -9,-5 and 6,-5​

Answers

The slope will be -5-(-5) divided by 6-(-9) which will give you 0 (zero)

For f(x)=−2x+4, find f(x) when x=−3.

Answers

Answer is f(-3) = 10

x = –3

Substitute -3 into f(x) = –2x +4.

f(-3) = –2(–3) + 4
f(-3) = 6 + 4
f(-3) = 10

What is the slope and y-Intercept of the equation 3(y – 2) + 6(x + 1) - 2 = 0?
A. Slope = -2, y-intercept = 2/3
B Slope = 2, y-intercept =2/3
C Slope = -2, y intercept = -2/3
D Slope = 2, y intercept= -2/3
E Slope = -2, y intercept = 3/2

Answers

Answer:

A. Slope = -2, y-intercept = 2/3

Step-by-step explanation:

Convert the given equation into slope-intercept form:

3(y - 2) + 6(x + 1) - 2 = 03y - 6 + 6x + 6 - 2 = 03y + 6x - 2 = 03y = - 6x + 2y = - 2x + 2/3

The slope is -2, the y-intercept is 2/3

Correct choice is A

⇒ 3(y - 2) + 6(x + 1) - 2 = 0

⇒ 3y - 6 + 6x + 6 - 2 = 0

⇒ 3y = -6x + 2

⇒ y = (-6x + 2)/3

y = -2x +

FINAL ANSWER :

Slope = -2

Y - intercept = +

Answer :

Option (a) is the correct answer .

Graph x <3
Please help me

Answers

Answer:

Step-by-step explanation:

The first modern humans appeared on Earth about 200,000 years ago. Would it be possible to measure that number in terms of feet on the football field? Explain your answer.

Answers

hi um i know this answer is 79

5. Find mTOS in the figure below.

Answers

Applying the definition of a linear pair, m∠TOS = 52°

Recall:

Linear pair are two angles on a straight line whose sum equals 180°.

Given:

m∠TOU = 128°m∠SOV = (4x + 8)°

m∠TOU + m∠TOS = 180° (linear pair)

Substitute

128° + m∠TOS =  180°

Subtract 128° from both sides of the equation

m∠TOS = 180° - 128°

m∠TOS = 52°

Thus, applying the definition of linear pair, m∠TOS = 52°

Learn more about linear pair on:

https://brainly.com/question/3768841

The average rate of population decline between 2004 and 2014 is 1.45 thousand deer per year. If the population continued to decline at this rate, in which year would the population have reached 225 thousand deer? Explain your reasoning.

Answers

Answer:

in 155 years it would reach 225 thousand deer

Step-by-step explanation:

ANSWER FAST 20 POINTS

Answers

Answer: A

Step-by-step explanation:

The answer is A because, if you look at the line on the graph it’s a dotted line.

This means it’s either a < or >. Next you can see the y-intercept is -1, which actually doesn’t help you because all the answers hace the same y-intercept but still good to know. Finally if you use rise or run you can find the slope to be -2x.

I believe it’s A.

Just did the math and the person who answered first is I believe is correct.

given the line y=-2x - 1 and the point (4,4) find the equation of the line perpendicular to the given line. PLEASE! Helppp

Answers

Answer:

(-6,-5)

Step-by-step explanation:

y2-y1

x2-x1

subtract then you get the answer

PLEASE HELP.
A group of bacteria has a population of 100,000. The growth rate is 20%. How much bacteria will there be in 10 years? Use the exponential formula.

Answers

Answer:

200,000 i don't know apologies if it's wrong

Step-by-step explanation:

100,000*.20*10

200,000*10

200,000

Lesson 3: Revisiting Proportional Relationships

Answers

relationship is going to work out so 72728

Which congruence criteria is met in the following scenario?
AAS
ASA
SAS
None, because the sides of one triangle are NOT congruent to the sides of the other triangle.
SSS

Answers

None because the triangles have different lines

Please help! Brainliest!

The graph f(x) = (x + 1)^2 – 7 is translated 3 units right and one unit up, resulting
in the graph g(x). Write an equation that represents the new function, g(x).

Answers

Answer: g(x) = (x-2)^2 - 6

Step-by-step explanation: The graph of x^2 is a parabola opening downward. The (x+1) stands for 1 unit to the left and -7 is 7 units down. Once you have graph f(x) = (x+1)^2-7, there you should be able to graph g(x)=(x-2)^2-6. From there, its asks to go 3 units right which gives (x-2) and 1 unit up which gives -6.

(x+1) is x=-1 and (x-2) = 2.

Hope this helps.

PLS ANSWER
AND I WILL MARK AS BRAINLIST

Answers

Answer:

72

Step-by-step explanation:

Use PEMDAS to complete this equation properly. 3^2 = 9, 2^3 = 8. 9*8= 72..

Brainliest would be appreaciated! :-)

please answer thisss​

Answers

Answer:

ask assistance from someone close to you,it's a practical question.

Place the fraction 1/2 on the number line.

Answers

Answer:

in the middle

Step-by-step explanation:

I did this before

1/2 is a half so if the number line starts at a 1 and ends at a 2 it would be in the middle. Please note that 100/500=10/50=1/2

my Christmas present to you​

Answers

Answer:

yay thx

Step-by-step explanation:

merry xmas

A diver descends 3.2m in 5min. what was his average rate of descent in metres per minute?

Answers

Divide distance by time:

3.2 meters / 5 minutes = 0.64

The descent was -0.64 meters per minute

Answer:

.64

Step-by-step explanation:

Whenever you see x per y that means that you're looking at a ratio, which can be expressed as a fraction.

It would look like 3.2/5

The rate of descent may not be consistent, but on average it's reflected by the ratio and so you can just cut 3.2 meters into five equal parts to see, on average, how far the diver descended every minute.

Guy and Jim work at a furniture store. Guy is paid $185 per week plus 3% of his total sales in dollars, X, which can be represented by g(x) = 185 +0.03x. Jim is paid $275 per week plus 2.5% of his total sales in dollars, x, which can be represented by f(x) = 275 +0.025%. Determine the value of x, in dollars, that will make their weekly pay the same.​

Answers

Answer:

$18,000.

Step-by-step explanation:

When their weekly pay is the same:

185 + 0.03x =  275 + 0.025x

0.03x - 0.025x =  275 - 185

0.005x = 90

x =90/0.005

x = 18,000

Parallelogram ABCD has vertex coordinates A(0, 1), B(1,3), (4,3), and D(3,1). It is translated 1 unit to the right and 3 units down and then rotated 180°clockwise around the origin. What are the coordinates of A?

Answers

Answer:

  A'(-1, 2)

Step-by-step explanation:

Translation 1 right and 3 down is accomplished by the transformation ...

  (x, y) ⇒ (x +1, y -3)

Rotation 180° is accomplished by ...

  (x, y) ⇒ (-x, -y)

Then the composition of transformations gives ...

  (x, y) ⇒ (-x -1, -y+3)

The transformed coordinates of A(0, 1) are ...

  A(0, 1) ⇒ A'(-0 -1, -1 +3) = A'(-1, 2)

4/9 7/21 change to percent

Answers

Answer:

Hi there, your answers here are 44% and 33%.

To convert 4/9 to a percent, first we can write it as a decimal - 0.44444444444. To get this decimal, we divide 4 by 9. Then, we multiply this decimal by 100 to get 44.4444444444, or roughly 44%.

To convert 7/21 to a percent, first we can write it as a decimal - 0.33333333333. To get this decimal, we divide 7 by 21. Then, we multiply this decimal by 100 to get 33.3333333333, or roughly 33%.

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