How do you find the Remainder when a polynomial in x is divided by a binomial of the form x-r?​

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

If a polynomial f(x) is divided by (x - r) then the remainder is f(r)


Related Questions

kokokokokkokokokokokookokokk.

Answers

Answer:

OMG️️

Step-by-step explanation:

What is this❓

what have you wrote✍️

Answer:

hye nice what have written tell then I will answer you.

help me with this please

Answers

Answer:

12

Step-by-step explanation:

[tex]1/3(3)(12)[/tex]

The 1/3 and 3 cancel and you are left with

[tex]12[/tex]

Yep, the person above is completely correct!

what is a expression representing the product of 17 and c

Answers

Answer:

17c

Step-by-step explanation:

17 × c = 17c

Which option shows the equation for the line in the graph

Answers

Answer:

y=-3x-10

Step-by-step explanation:

The y-intercept is -10 and the line is going in a negative direction. Meaning the slope will be negative.

Looking at the options, you can tell that the answer will in fact, be y=-3x-10

Or to solve, -2,-4 and -5,5

5--4 to get 9

-5--2 to get -3

9/-3 gets you -3. The slope of the line is -3. And you can notice that the intercept is -10.

This gets you y=-3x-10

Find the missing value given the points and slope.
(9,7) and (x,4)
m=3/7




Answers

Answer:

Step-by-step explanation:

El perimetro de un rectangulo mide 166 cm . Si su base mide 58 cm ¿cuanto mide su altura y cual es su area

Answers

solución:

A=1450cm²

~~~~~~~~~~~~~

Paying 13 mortgage payments instead of 12 per year can save to you thousands in interest cost. If you had a $175,000 mortgage at 6% for 30 years, how much extra would you have to pay per year to make 13 instead of a 12 mortgage mortgage payments per year? How much would you pay if you paid 1/12 of it per month?

Answers

You would pay $14,583.33 per month if you divided the mortgage amount into equal monthly payments.

To calculate the additional amount you would have to pay per year to make 13 mortgage payments instead of 12, we need to determine the monthly mortgage payment first.

Using the formula for a fixed-rate mortgage:

[tex]M = \dfrac{P(r(1 + r)^n)} { ((1 + r)^n - 1)}[/tex]

M = P(r(1 + r)^n) / ((1 + r)^n - 1)

Here:

M = Monthly mortgage payment

P = Principal amount (mortgage amount)

r = Monthly interest rate (annual interest rate / 12)

n = Total number of payments (number of years × 12)

Let's calculate the monthly mortgage payment first:

P = $175,000

r = 6% / 12 = 0.005

n = 30 × 12 = 360

[tex]M = 175,000 \times\dfrac{ (0.005(1 + 0.005)^{360})}{ ((1 + 0.005)^{360} - 1)}[/tex]

M = $1,049.91

With a monthly mortgage payment of $1,049.91, we can calculate the additional amount you would need to pay per year to make 13 payments instead of 12.

Additional payment per year = Monthly payment × 12 - Monthly payment

Additional payment per year = $1,049.91 × 12 - $1,049.91

Additional payment per year = $12,599.92 - $1,049.91

Additional payment per year = $11,550.01

Therefore, you would need to pay $11,550.01 extra per year to make 13 mortgage payments instead of 12.

Now, let's calculate the amount you would pay if you made equal monthly payments throughout the year (1/12 of the mortgage amount per month).

Amount paid per month = Mortgage amount / 12

Amount paid per month = $175,000 / 12

Amount paid per month ≈ $14,583.33

Thus, you would pay $14,583.33 per month if you divided the mortgage amount into equal monthly payments.

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You are organizing books on the shelf. Each book has a width of 3/4 inches. write and solve an equality for the numbers of books b can fit on the shelf

Answers

3/4 = 0.75 inches

24 inches / 0.75 inches

= 32 books

Consider the ratio of boys to girls of 4:5.
a) What is the total number of parts?
b) What fraction of the total are boys?
c) What fraction of the total are girls?
d)If there were 18 students in total,how many of them are boys?
e)If there were 18 students in total, how many of them are girls?

Answers

Step-by-step explanation:

[tex]a)[/tex]

[tex]4+5=9 (parts)[/tex]

[tex]b)[/tex]  our total is [tex]9[/tex] our boys are [tex]4\\[/tex]

our fraction is [tex]^4/_9[/tex]

[tex]c)[/tex]    [tex]^5/_9[/tex]

[tex]d)[/tex] our whole used to be [tex]9[/tex] but we doubled it so it is [tex]18[/tex]

so we double [tex]4[/tex] which equals [tex]8[/tex]

[tex]^8/_{18}[/tex]

[tex]e)[/tex] [tex]^{10}/_{18}[/tex]

Brainliest please

If you add the lengths of the focal radii of an ellipse, what other value will you produce?

Answers

Answer: the length of the major axis

Step-by-step found it on Quizlet and got it right on the quiz

If we add the lengths of focal radii of an ellipse the value of length of major axis will produce.

What is the major axis of an ellipse?

The major axis of an ellipse is the line segment connecting the two vertices.

Since, the sum of focal distances of a point on ellipse is constant.

And it is equals to the length of major axis.

Hence, if we add the lengths of focal radii of an ellipse the value of length of major axis will produce.

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Tell whether the sequence is arithmetic. If it is, identify the common difference.

1/2,1/3,1/4, ….

1) Not arithmetic
2) Arithmetic, common difference is 1/6
3) Arithmetic, common difference is 2/3
4) Arithmetic, common difference is 1

Answers

Answer:

Not arithmetic

Step-by-step explanation:

the difference of successive terms in arithmetic sequences should be the same. notice that:

1/3-1/2 =/= 1/3 - 1/4

so it's not arithmetic.

this sequence is known as the harmonic sequence, and its sum diverges.

Find the range of the graphed function.
- 10
10
-10
O A. yis all real numbers.
B. y: 0
OC. -6 sys 9
OD. -10 sys

Answers

Answer:

The answer is C

Step-by-step explanation:

The range of the function plotted on the graph is [-6, 9].

What is function?

A function is a relation between a dependent and independent variable. We can write the examples of function as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is the graph of a function shown in the image.

Range of a function is the set of {y} - values that exist for the values in the domain of the function. We can see from the graph that the values of {y} range from {y} = - 6 to {y} = 9 over the entire domain. See the black dots, that black dots mean that the both the numbers -6 and 9 are included in the range. So, in the set form, we can write the range of the function as -Range : [-6, 9].

Therefore, the range of the function plotted on the graph is [-6, 9].

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A car dealership pays a wholesale price of $12,000 to purchase a vehicle.


The car dealership wants to make a 32% profit.


After the markup, what is the retail price of the vehicle?

Answers

Answer:

$ 15840

Step-by-step explanation:

12000 + 32% = 15840

A factory produces bolts at a constant rate. After 4 hours, 3,200 bolts have been produced. Which graph models a relationship with the same rate?

Answers

Answer is D. Because 3,200 bolts at 4 would be 800 per hour which matches up with the graph

The graph that models the relationship between the factory production and the time is the graph in option D

The number of bolts produced within four hours is 3200

The rate of production is the ratio of the change in the number of bolts produced to the the change in time

Change in the number of bolts produced, ∆y = 3200 bolts

Change in time, ∆t  =  4 hours

Rate of change = ∆y / ∆t

Rate of change = 3200/4

Rate of change = 800 bolts per hour

The only graph that models this relationship is the graph in option D because it also have a rate of change of 800 bolts per hour

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what is the correct answer?!!

Answers

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Where does the graph of y= sin x from x= 0 to x= 217 start?
O A.
at its minimum
O B.
at an x-intercept
O C.
at its maximum
OD.
between an x-intercept and its maximum

Answers

Answer:

at an x intercept

Step-by-step explanation:

You need to calculate sin 0 = 0. Which means it's crossing (or at least touching) the x axis.

The product of six minus a number and five equals 60÷2 which equation relates the sentence

Answers

Answer:

Step-by-step explanation:

Please answer lol its math

Answers

Answer:

12.5

Step-by-step explanation:

hope it helped

Answer:

12.5

Step-by-step explanation:

Divide 25ft by 2mm

> 25 / 2 = 12.5

3.find the measure of each missing angle

Answers

Answer:

Angle 1= 69

Angle 2= 37

Angle 3= 106

Angle 4= 21

Step-by-step explanation:

(Angle 2) The box in the corner is a 90-degree angle. So, 90-53=37

(Angle 1) Now that you have angle 2, add 37+74. You get 111. Subtract 180 and 111.

The answer for angle one is 69.

(Angle 3) Since it is a line, the two angles combined are 180 degrees. 180-74= 106.

(Angle 4) Now that you have angle 3, add 106 and 53. You will get 159. 180-159= 21

An equation is shown.

3x+4/5=7-2x

What is the solution to the equation
x= ?

Answers

Answer:

1.24

Step-by-step explanation:

start by multiplying each term by the LCM which is 5

then you ahead and simply the equation

Solve the system by substitution: y = 4x - 6
y=5x

Answers

Answer:

y=4x-6

5x=4x-6 {putting y =5x}

5x-4x=-6

x=-6


The rectangle below has an area of x^2 - 7x + 10 square meters and a width of x - 5 meters.
What expression represents the length of the rectangle?

Answers

Answer is (x - 2).

- BRAINLIEST answerer

Help needed! Please and thanks

Answers

Answer:

8.125 inches

Step-by-step explanation:

Ok so basically what you needed to do was this

Find out what was the value like this 3 1/4 = 3.25 and 2 1/2 = 2.5

Then you will do

3.25 x 2.5 and get your answer

8.125

There you go! Have a Wonderful Day

Unit 4 linear equations homework 9 parallel and perpendicular lines (day1) activity
Directions if segments AB and CD are parallel,perpendicular, or neither

Answers

The lines that are parallel continuously have equal distances from each

other and perpendicular lines form 90° angle at their intersection.

The correct responses are;

Segment [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are perpendicular, ⊥Segment [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are parallel. ║Segment [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are neitherSegment [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are perpendicular, ⊥Segment [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are perpendicular, ⊥Segment [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are neitherThe equations are parallel, ║The equations are perpendicular, ⊥The equations are perpendicular, ⊥The equations are neither parallel or perpendicular

Reasons:

Segment [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are perpendicular

[tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are parallel where; Slope of [tex]\overline{AB}[/tex] = Slope of [tex]\overline{CD}[/tex]

[tex]\displaystyle \overline{AB} \ and \ \overline{CD} \ are \ perpendicular\ where; \ Slope \ of \ \overline{AB} = -\frac{1}{Slope \ of \ \overline{CD}}[/tex]

[tex]1. \ \displaystyle Slope \ of \ \overline{AB} = \mathbf{\frac{13 - 3}{-2 - 0}} = \frac{10}{-2} = -5[/tex]

[tex]\geq \displaystyle Slope \ of \ \overline{CD} = \frac{3 - 0}{10 - (-5)} = \frac{1}{5}[/tex]

[tex]\displaystyle \mathbf{Slope \ of \ \overline{AB}} = -\frac{1}{Slope \ of \ \overline{CD}}[/tex], [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are perpendicular

[tex]2. \ \displaystyle Slope \ of \ \overline{AB} = \mathbf{\frac{7- 1}{3 - (-6)}} = \frac{6}{9} =\frac{2}{3}[/tex]

[tex]\geq \displaystyle Slope \ of \ \overline{CD} = \frac{-5 - (-1)}{-6 - 0} = \frac{-4}{-6}=\frac{2}{3}[/tex]

Slope of [tex]\mathbf{\overline{AB}}[/tex] = Slope of [tex]\overline{CD}[/tex] , [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are parallel

[tex]3. \ \displaystyle Slope \ of \ \overline{AB} = \mathbf{ \frac{2- 4}{-6 - (-2)} = \frac{-2}{-4}} =\frac{1}{2}[/tex]

[tex]\displaystyle Slope \ of \ \overline{CD} = \frac{11 - (-7)}{-1 - 5} = \frac{18}{-6}=-3[/tex]

[tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are neither parallel or perpendicular

[tex]4. \ \displaystyle Slope \ of \ \overline{AB} = \frac{8- 3}{-3 - 2} = \frac{5}{-5} =-1[/tex]

[tex]\displaystyle Slope \ of \ \overline{CD} = \frac{6 - 2}{-4 - (-8)} = \frac{4}{4}=1[/tex]

[tex]\displaystyle Slope \ of \ \overline{AB} = \mathbf{-\frac{1}{Slope \ of \ \overline{CD}}}[/tex], [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are perpendicular

[tex]5. \ \displaystyle Slope \ of \ \overline{AB} = \frac{-1 - 2}{-8 - (-4)} = \frac{-3}{-4} =\frac{3}{4}[/tex]

[tex]\displaystyle Slope \ of \ \overline{CD} = \mathbf{\frac{-3 - 6}{0 - 12}} = \frac{-9}{-12}=\frac{3}{4}[/tex]

Slope of [tex]\overline{AB}[/tex] = Slope of [tex]\overline{CD}[/tex] , [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are parallel

[tex]6. \ \displaystyle Slope \ of \ \overline{AB} = \frac{5 - (-1)}{6 - 3} = \frac{6}{3} =2[/tex]

[tex]\displaystyle Slope \ of \ \overline{CD} = \mathbf{\frac{-5 - 7}{2 - (-4)}} = \frac{-12}{6}=-2[/tex]

[tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are neither parallel or perpendicular

Directions: To determine if the equations are parallel or perpendicular

Solution:

The equations are parallel if when expressed in the form, y = m·x  + c, the value of m are equal

The equations are perpendicular, when we have;

[tex]\displaystyle The \ value \ of \ \mathbf{m} \ in \ one \ equation = -\frac{1}{The \ value \ of \ \mathbf{m} \ in \ the \ other\ equation }[/tex]

7. First equation

3·x + 2·y = 6

Therefore; [tex]\displaystyle y = -\frac{3}{2} \cdot x + 3[/tex]

Second equation; [tex]\displaystyle y = \mathbf{-\frac{3}{2} \cdot x + 5}[/tex]

The value of m which is the coefficient of x are both equal to [tex]\displaystyle -\frac{3}{2}[/tex]

Therefore, the equations are parallel

8.  Equation 1; 3·y = 4·x + 15

Therefore;

[tex]\displaystyle y = \frac{4}{3} \cdot x + 5[/tex]

Equation 2; 9·x + 12·y = 12

[tex]\displaystyle y = -\frac{9}{12} \cdot x + 1 = 1 - \frac{3}{4} \cdot x[/tex]

The slope of the equation 2 is the negative inverse of the slope of equation 1, therefore, the equations are perpendicular

9. Equation 1: 8·x - 2·y = 4

Therefore;

y = 4·x - 2

Equation 2: x + 4·y = -12

Therefore;

[tex]\displaystyle y = -\frac{1}{4} \cdot x - 3[/tex]

The slope of the equation 2 is the negative inverse of the slope of equation 1, therefore, the equations are perpendicular.

10. Equation 1: 3·x + 2·y = 10

Therefore;

[tex]\displaystyle y = -\frac{3}{2} \cdot x - 5[/tex]

Equation 2: 2·x + 3·y = -3

[tex]\displaystyle y = -\frac{2}{3} \cdot x -1[/tex]

The slopes of the equation 1 and 2 are not equal, and are not  the negative inverse of each other, therefore, the equations are neither parallel nor perpendicular.

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Find the volume v of the solid obtained by rotating the region bounded by the given curves about the specified line. Y = 27x3, y = 0, x = 1; about x = 2.

Answers

The volume of the solid of revolution is [tex]\frac{1674\pi}{5}[/tex] cubic units.

The volume of the solid of revolution can be determined by the following integral equation:

[tex]V = 2\pi\int\limits^a_b {|f(x)-g(x)|} \, dx[/tex] (1)

Where:

[tex]g(x)[/tex] - Lower bound function[tex]f(x)[/tex] - Upper bound function[tex]a[/tex] - Upper bound[tex]b[/tex] - Lower bound

If we know that [tex]b = 2[/tex], [tex]b = 1[/tex], [tex]g(x) = 0[/tex] and [tex]f(x) = 27\cdot x^{3}[/tex], then the volume of the solid of revolution is:

[tex]V = 2\pi\int\limits^2_1 {x\cdot |27\cdot x^{3}-0|} \, dx[/tex]

[tex]V = 54\pi \int\limits^2_1 {x^{4}} \, dx[/tex]

[tex]V = 54\pi \left(\frac{2^{5}}{5}-\frac{1^{5}}{5} \right)[/tex]

[tex]V = \frac{1674\pi}{5}[/tex]

The volume of the solid of revolution is [tex]\frac{1674\pi}{5}[/tex] cubic units.

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A seat for all games,events,concerts,and performances cost $900 there are 48 events in total but Alex only attended 14 how much did he pay.

Answers

Answer = $262.5

$900/ 48 = 18.75
$18.75 x 14 = 262.5

100 POINTS! Select the correct answer.
Which system of equations is represented by this graph?

Answers

Answer:

A

Step-by-step explanation:

Remember, the equation of slope-intercept is y=mx+b

We see that for A, that the first equation's slope is -2/3. That means we are going to move down two and left five. The reason why we are going down is that the slope is negative. We also know that our y-intercept is -4. So we first plot the point (0,-4). Then we move down two and left five. We apply the same knowledge with the second equation. When we plot both equations, we get the same exact graph as the picture.

There are 35 students in the elementary band. The band is doing a fundraiser, and each student must sell 12 items. How many items will be sold altogether? Use a different multiplication strategies in each of the short answer questions.

Answers

Answer:

Altogether, 420 items will be sold.

Step-by-step explanation:

12 · 35 = 420

PLEASE HELP THIS IS DUE IN THIRTY MINUTES
I FINNA GIVE YOU 30 POINTS, THAS A SCORE
You have $4800 to spend on fencing to enclose a rectangular area. You also want to make TWO pens as shown below. The cost of the vertical sides is $2.00 per foot and the horizontal sides cost $5.00 per foot. You desire to enclose the largest possible area you can.
a) Given x is the dimension of one side of the rectangle, enter an expression for the other dimension of the rectangle. Your answer should have an "x" in it. Also select appropriate units.

b) Find an expression for the area of the rectangle only in terms of x. Check the appropriate units.

c) What are the dimensions of the rectangle with the largest enclosed area? Enter your dimensions as a list of numbers separated by a comma. Start with the value of side labeled x FIRST.

d) What is the largest area you can enclose in a rectangle using feet of fencing?

Answers

Answer:

D

Step-by-step explanation:

four hundred twenty five million six hundred one thousand six in standard form ​

Answers

Answer:

425,601,006

Step-by-step explanation:

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