divide x3-3x2+x-2 by 10x4-14x3-10x2+6x-10 the quotient is and the remainder is

Answers

Answer 1

Answer:

The quotient is 10x+16

The remainder is 28x²+10x+22

Step-by-step explanation:

Solution,

                              ___________________________

x^3 - 3x^2 + x - 2 ]    10x^4 - 14x^3 -  10x^2 +  6x  -  10   [ 10x + 16

                                 10x^4 - 30x^3 + 10x^2 -  20x

                                              16x^3   -  20x^2 + 26x  - 10

                                              16x^3  -  48x^2 + 16 x   - 32

                                                            28x^2  +  10x  + 22

Answer 2

Answer:

The quotient is 10x+16

The remainder is 28x²+10x+22

Step-by-step explanation:


Related Questions

An ice cream cone is 4 in across and 6 in deep. A scoop of ice cream with a diameter of 4 inches is placed on top. If the ice cream completely melts, how much ice cream spills out of the cone? Round answer to two decimal places.​

Answers

Answer:

8.373

Step-by-step explanation:

Cone

Find the volume of the cone

V = 1/3 pi r^2 h

r = d/2

r = 4/2

r = 2 inches

h = 6 inches

pi = 3.14

V = 1/3 * 3.14 * 2^2 *  6

V = 25.12

Half sphere

V = 1/2 (4/3) pi r^3

r = 2 from above calculation

pi = 3.14

V = 2/3 * 3.14 * 2^3

V = 2/3 * 3.14 * 8

V = 16.74

Nothing spills out so I scoop must be a whole sphere. The sphere is 2 times what I calculated it to be or

V = (4/3) * 3.14 * 2^3

V = 33.49 cubic inches

The difference in volume is 33.49 - 25.12 = 8.373

which system of equations is satisfied by the solutions shown in the graph

Answers

There is no graph how could we answer

please answer i will give u brainless PLZZZZZZ

Answers

Answer:

96 green pens

Step-by-step explanation:

Super simple. You do: 14x+15x+24x=212 which is 53x = 212 and x=4

Green = 4*24=96

3 years later a mother will be 4 times as
old as her son. 3 years ago ,the mother age was two times as old as her son age will be 8 years hence. What are their present ages?​

Answers

Answer:

33 and 6 years

Step-by-step explanation:

Mother's age = mSon's age = s

3 years later:

m + 3 = 4(s + 3) ⇒ m = 4s + 12 - 3 = 4s + 9

3 years ago:

m - 3 = 2(s + 8) ⇒ m = 2s + 18 + 3 = 2s + 21

Solve for s by substitution:

4s + 9 = 2s + 212s = 12s = 6

Find the value of m:

m = 4*6 + 9 = 33

Mother is 33 and son is 6

The length of a rectangle exceeds its width by 3 inches. The area of the rectangle is 70
square inches. Find its dimensions. Hint: as in the example, use the equation for area,
A = lw.

Answers

Answer:

70= (x+3)

Step-by-step explanation:

the length of the rectangle  its width by 3 inches, if the width is x,the length will be x+3. so A=LW= 70

To find= 70= (x+3)x

x= 7 or -10

What are the intervals of increase and decrease of the following graph!????7 points!!!

Answers

Jwjejrrifitnt rirodjeenwkwiejenej

Answer:

Step-by-step explanation:

The function is decreasing on (∞,∞)

The function never increases

The difference of a number and seven is twelve

Write an equation to represent the sentence

Answers

Answer:19 You can use addition 12+7=19 19-7=12

10. The product of two numbers is -30. The sum of the two numbers is 13. Find
the two numbers.

Answers

Answer:

1) 2 × (-15) = -30

It could be 1+12 2+11 3+10 4+9 5+8 6+7 any of those

How many triangles are there in the picture?
Clue, there are more than 30.

Answers

Answer:

36?

Step-by-step explanation:

Answer:

42 Triangles

Step-by-step explanation:

Count all the triangles one by one and determine the # of triangles.

Help pls I’ll mark you brainliest

Answers

Answer:

Step-by-step explanation:

If the 2 lines are parallel

then x = 70 cos ( alternate interior angle)

but if not sorry man I just in grade 9 its my best effort

Really sorry. <3

:(

Help someone ????please!

Answers

Answer:

D. no function

Answer: B) This is a graph of a function, but it's not one-to-one.

Explanation:

We have a function because this graph passes the vertical line test. It is impossible to draw a single vertical line to have it pass through more than one point on the V shaped curve. Any x input leads to exactly one y output.

Even though we have a function, it is not one-to-one. Note how the curve fails the horizontal line test. It is possible to draw a horizontal line and have it pass through more than one point on the curve.

For example, draw a horizontal line through y = 3 and it passes through (-3,3) and (3,3) simultaneously. A one-to-one function is where any y output corresponds to exactly one x input, and vice versa. The output y = 3 corresponds to two different inputs x = -3 and x = 3 at the same time.

Why do we care about one-to-one functions? Well it's to help set up the inverse. The inverse goes the opposite direction of what the original function does. In this case, this function doesn't have an inverse unless we restrict the domain in some way.

Mr smith owns a bike store and typically marks up the bikes 20% over the price that the bikes cost him. The bikes cost him 69.95.
Need answer asap pls help will mark as brainliest!!

Answers

Answer: $83.94

Step-by-step explanation:

20% = 0.2

69.95 + 69.95(0.2) = 69.95(1 + 0.2) = 69.95(1.2) = 83.94

HELPP!
The functions f(x) and g(x) are described using the following equation and table:
f(x)=-4(1.09)x

Answers

Given:

The function is:

[tex]f(x)=-4(1.09)^x[/tex]

The table of values for the function g(x).

To find:

The equation that best compares the y-intercepts of f(x) and g(x).

Solution:

We have,

[tex]f(x)=-4(1.09)^x[/tex]

Putting [tex]x=0[/tex], we get

[tex]f(x)=-4(1.09)^0[/tex]

[tex]f(x)=-4(1)[/tex]

[tex]f(x)=-4[/tex]

So, the y-intercept of the function f(x) is -4.

From the given table of values, it is clear that the function f(x) passes through the point (0,-4). So, the y-intercept of the function g(x) is -4.

The y-intercept of f(x) is equal to the y-intercept of g(x).

Therefore, the correct option is A.

Answer:

A) The y-intercept of f(x) is equal to the y-intercept of g(x).

the red line below is perpendicular to which of the following

Answers

The red line is perpendicular to the y-axis.

HELP WILL GIVE BRAINLIEST

Answers

Answer:

6

Step-by-step explanation:

Follow 1 hour on the y axis to where it meets the line of best fit. In this case it is about 6 puzzles.

There are 11900 films on Netflix. 13% of the films are action. How many films are action?

Answers

13% of 11900 films are action films =1547 films.

Answer:

[tex]{ \tt{ = \frac{13}{100} \times 11900 }} \\ = 1547 \: action \: films[/tex]

Please answer this to the best of your ability please

Answers

Answer:

B) 17 games.

Step-by-step explanation:

Let g represent the number of games Mark played.

Since there is a $5 entrance fee and each game costs an additional $1.25, we can write the expression:

[tex]1.25g+5[/tex]

Which represents that total cost after g games.

Since we know that Mark spent a total of $26.25:

[tex]1.25g+5=26.25[/tex]

Solve for g. Subtract five from both sides:

[tex]1.25g=21.25[/tex]

And divide both sides by 1.25. Hence:

[tex]g=17[/tex]

So, Mark played a total of 17 games.

Our answer is B.

Answer:

Mark played 17 games

Step-by-step explanation:

26.25-5 = 21.25

21.25 divided by 1.25 is 17

~hope this helps~

:)

Can someone help with both questions 19 & 20

Answers

Answer:

19.

h=0, the result is 1000×2⁰ = 1000

this is the population of bacteria the excitement started with at the very beginning.

h=-3, the result is 1000×2-³ = 1000/(2³) = 1000/8 = 125

this is a calculation 3 hours backwards from the very start of the experiment, saying that if we started the experiment 3 hours earlier, this would have had to be the starting population of the bacteria so we would arrive at the same amount of population at any given time (value of h).

20.

D 25x⁶

Step-by-step explanation:

for 19 there is not more explanation. it is all ashtray in the answer.

for 20 we see that we are dealing with a square, so ask 4 sides have the same length.

one side is 5x³.

the area of a square is simply side².

so, here (5x³)² = 25x⁶

What is the greatest common factor of 60x4y7, 45x5y5, and 75x3y?
5xy
15x3y
45x3y5
75x5y7

Answers

Answer:

15x3y.

Step-by-step explanation:

.

Hi!

The greatest common factor of 60x⁴y⁷, 45x⁵y⁵ and 75x³y is 15x³y

Given circle O below, if arc AB and arc CD are congruent, what is the measure of angle COD?

Answers

Answer:

C. 70°

The measure of angle COD

Step-by-step explanation:

hope it helps

What is the true solution to the logarithmic equation below?

log Subscript 4 Baseline left-bracket log Subscript 4 Baseline (2 x) right-bracket = 1

Answers

Answer:

x = 2

Step-by-step explanation:

Given:

log ₄ (2x) = 1

Solving for x:

2x = 4¹2x = 4x = 2

Answer:

128 on edg

Step-by-step explanation:

i thought it was 2 aswell double checked it on a graphing calculator its 128

Someone help me please !!

Answers

Answer:You can also use tables to represent functions. Instead of using two ovals with circles, a table organizes the input and output values with columns. ... Remember, a function can only assign an input value to one output value. If you see the same x-value with more than one y-value, the table does not represent a function.

Step-by-step explanation:

please help -------------------- ASAPPP

Answers

Hello,

[tex]f^{-1}(f(58))=(f^{-1}*f)(58)=1(58)=58\\f(f(5)=f(9)=11\\[/tex]

I need this ASAP!! Please Help!!


In the diagram, XY is congruent to YZ and the measurement for the arc XQZ is 199 degrees. Find the measurement of the arc YZ in degrees. Show work if can please.

Answers

since XY is congruent to YZ, that means they are equal to each other.

a circle is 360°. we already know XQZ is 199, so we just need to subtract it from 360

360-199 = 161

so arc XYZ is 161. again, since XY=YZ, we know that half of 161 is equal to XY and YZ

161/2= 80.5

YZ= 80.5°

Help Help Help Help Help Help Help Help Help Prove the divisibility of the following numbers: 10^9+10^8+10^7 by 555

Answers

Pull out a common factor of 10⁷:

10⁹ + 10⁸ + 10⁷ = 10⁷ (10² + 10¹ + 10⁰)

… = 10⁷ × 111

Factorize 10 as 2 × 5, then distribute the power of 7:

… = 2⁷ × 5⁷ × 111

Pull out a factor of 5 and multiply it with 111:

… = 2⁷ × 5⁶ × 5 × 111

… = 2⁷ × 5⁶ × 555

So 555 divides 10⁹ + 10⁸ + 10⁷.

someone help me for this algebra task please

Answers

Answer:

200

Step-by-step explanation:

Substitute 15 for y

[tex] \frac{1}{5} x - \frac{2}{3} (15) = 30[/tex]

[tex] \frac{1}{5} x - 10 = 30[/tex]

[tex] \frac{1}{5} x = 40[/tex]

[tex]x = 200[/tex]

Determine the values of xfor which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001.(Enter your answer using interval notation. Round your answer to four decimal places.)

Answers

Answer:

The values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001 is 0 < x < 0.3936.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

Determine the values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001. f(x) = e^x ≈ 1 + x + x²/2! + x³/3!, x < 0

The explanation of the answer is now provided as follows:

Given:

f(x) = e^x ≈ 1 + x + x²/2! + x³/3!, x < 0 …………….. (1)

[tex]R_{3}[/tex] = (x) = (e^z /4!)x^4

Since the aim is [tex]R_{3}[/tex](x) < 0.001, this implies that:

(e^z /4!)x^4 < 0.0001 ………………………………….. (2)

Multiply both sided of equation (2) by (1), we have:

e^4x^4 < 0.024 ……………………….......……………. (4)

Taking 4th root of both sided of equation (4), we have:

|xe^(z/4) < 0.3936 ……………………..........…………(5)

Dividing both sides of equation (5) by e^(z/4) gives us:

|x| < 0.3936 / e^(z/4) ……………….................…… (6)

In equation (6), when z > 0, e^(z/4) > 1. Therefore, we have:

|x| < 0.3936 -----> 0 < x < 0.3936

Therefore, the values of x for which the function can be replaced by the Taylor polynomial if the error cannot exceed 0.001 is 0 < x < 0.3936.

determine the period of this function​

Answers

Answer:  C) 6

Explanation:

The function is somewhat sinusoidal but not entirely. Its composed of piecewise line segments when we should have a single continuous smooth curve; however, it's still periodic since it repeats itself.

Let's start at the top at the left most corner. This point has x coordinate of x = 1.

The other endpoint of this top left flat portion is when x = 2. Then the function curve goes downhill until it reaches x = 4. From x = 4 to x = 5, we're at the flat bottom part. From x = 5 to x = 7 is when the function increases.

Once we get to x = 7, the process described earlier starts all over again. So this is when the cycle ends and the length of the period is 7-1 = 6 units. The function repeats itself every 6 units, or you can say the length of each cycle is 6 time units (eg: 6 seconds).

Can someone help me explain this question? :( I have to record myself answering it and send it to my teacher

What is the effect on the graph of f(x) if it is changed to f(x) + 7, f(x + 7) or 7f(x)?

Answers

Step-by-step explanation:

The function f(x)+7 will shift the parent function up 7 units.

The function f(x+7) will shift the parent function to the left 7 units.

The function 7f(x) will stretch vertically by a factor of 7.

Which explains whether or not her solutions are correct? (Algebra ll) *URGENT*

Answers

Answer:

I believe its A

Step-by-step explanation:

Substitue vales into the equation and check! Lmk if it was ccorrect!

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