let p be a polynomial function where p(x)=x4- dx3 + 8x2 - 10x + 4 if (x-2) is a factor of the polynomial, what is the value of d?

Answers

Answer 1

Answer:

d = 4

Step-by-step explanation:

If (x -2) is a factor of polynomial p(x), then the remainder will be zero.

⇒ p(2) = 0

[tex]\sf \bf 2^4-d*2^3 + 8*2^2 -10*2 + 4 = 0\\\\[/tex]

       16 - 8d + 8*4 - 20 + 4 = 0

        16 - 8d + 32 - 20 + 4 = 0

                   -8d  +  32       = 0

                              -8d      = - 32

                                      d = -32/(-8)

[tex]\boxed{d = 4}[/tex]


Related Questions

Let's say you want to know how many pages your 10 favorite books have. After checking
your bookshelf, you could simply write down the numbers in a list. But when data is written
as a list of numbers, it can be difficult to make sense of the information. Which book is the
longest, and which is the shortest? Which book is right in the middle?
Showing data visually can help you understand the information you collected. You could
make a bar graph, which would make it easy to see the smallest and largest values of the
data set. But a box plot, often called a box and whisker plot, gives you even more
information than a bar graph. With a box and whisker plot, you can clearly see the smallest
value, the largest value and the median, or the middle value of all the data. You can also see
the interquartile range, or the middle 50 percent of the data.
RDS
ME
According to the passage, why might one choose to use a box and whisker plot instead
of a bar graph?
A
A box and whisker plot shows less information than a bar graph.
B
A box and whisker plot shows more information than a bar graph.
с
Box and whisker plots show data visually, but bar graphs do not.
D
Box and whisker plots have nothing in common with bar graphs.

Answers

Considering that we want to find a measure of center of the number of pages in the books, the correct option is:

B A box and whisker plot shows more information than a bar graph.

When to use a bar graph and a box and whisker plot?

It we are interest in the extremes of the distribution, that is, the smallest and largest amounts, we use a bar graph.If we are interested in the central measures of the distribution, we use a box and whisker plot, as it contains more information.

In this problem, we want to find the average number of pages in the books, which is a measure of center, hence option B is correct.

More can be learned about a box and whisker plot at https://brainly.com/question/12343132

constant term of this

Answers

3, it does not have variables

You have a home with a market value of $144,700, which has an assessment value of 72% of that amount. your city has a property tax rate of 0.039. you know that 65% of your property tax dollars go to public schools. to the nearest dollar, how much of your taxes went to funding schools? a. $4,063 b. $3,668 c. $2,641 d. $6,772 please select the best answer from the choices provided a b c d

Answers

Your taxes went to funding schools will be $2641.The tax is divided into different parts based on the percentage.

What is tax?

A government-mandated contribution to state revenue is placed on employees' wages and corporate earnings or added to the cost of certain products, services, and transactions.

The given data in the problem is;

The market value of the home = is $144,700

They assessed a value of 72% of that amount.

The city has a property tax rate of 0.039.

The assessment value is found as;

[tex]\$ \ 144,700 \times 0.72 = \$ \ 104,184[/tex]

The tax on the property will be;

[tex]\$ \ 104,184 \times 0.039 = \$ \ 4,063.176[/tex]

The amount which goes to funding schools is;

[tex]\$ \ 4,063.176 \times 0.65= \$ \ 2641.0644[/tex]

Hence your taxes went to funding schools will be $2641.

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Answer:

2641

Step-by-step explanation:

Share $420 in the ratio of 2:5:7

Answers

Answer:

If you split it up it would be 60, 150, 210

what is the percent change from 18 to 26

Answers

Answer:

44.44%

Step-by-step explanation:

35+(-1)+(-64)+(-8) anwer of this question
Addition

Answers

Answer:

[tex]\underline{\boxed{\sf -38}}[/tex]

Step-by-step explanation:

[tex]\sf 35+(-1)+(-64)+(-8)[/tex]

Subtract 1 from 35= 34

[tex]\sf 34-64-8[/tex]

Subtract 64 - 34= -30

[tex]\sf -30-8[/tex]

Subtract 8 - 30 = -38

[tex]\sf -38[/tex] ← Answer

Answer: 90

Steps:

Step 1.
Group the positive and negative terms in 35 + (-1) + (64) + (- 8) together and factor out the minus sign. Also remove the parenthesis.

Step 2.
35 - 1 + 64 - 8
(35 + 64) - (1 + 8)

Step 3.
Evaluate 35 + 64.
35 + 64 = 99

Therefore we have 99 - (1 + 8)

Step 4.
Evaluate 1 + 8.
1 + 8 = 9

Therefore we have 99 - 9.

Step 5.
Subtract 9 from 99.
99 - 9 = 90

(please help me)
Amelie spins the following spinner, which has 10 equally sized spaces numbered 1 through 10. The numbers 1 and 7 are colored blue; the numbers 2, 4, and 6 are red; and the numbers 3, 5, 8, 9, and 10 are green.

A spinner as described in the text.




What is the probability that Amelie spins either an odd number or a red number?

Enter your answer as a reduced fraction, like this: 3/14

Answers

The probability Amelie spins either an odd number or a red number is:

P = 4/5

How to find the probability?

We want to find the probability of spinning a red or odd number, this is equal to the quotient between the number of odd numbers + the number of red numbers and the total number of numbers in the spinner.

We know that there are 10 numbers in the spinner.2, 4, and 6 are red, so we have 3 red numbers.1, 3, 5, 7, and 9, are odd, so we have 5 odd numbers.

Then there are 5 + 3 = 8 numbers that are either red or odd, and a total of 10 numbers, this means that the probability of spinning an odd number or a red number is:

P = 8/10 = 4/5

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Answer number 10 please thank you

Answers

8%

have a lovely day/afternoon/night!! <3

what is the volume of this cube? WHO EVER AWNSERS GETS 100 POINTS

Answers

0.125 is the volume of the cube
Because one side is 0.5 you do

0.5x0.5x0.5=0.125

So the answer is 0.125

Please help me with this problem! (Scam answers will be reported)

Answers

Answer:

C looks good. if u have 2 attempts and c wrong it has to be B

Help
Two walls are 15 feet apart. Two ladders, one
25 feet long and one 18 feet long, are placed at
the bottoms of the walls leaning against the
opposite walls. How far from the ground is the
point where the two ladders cross?

Answers

Answer:

im in 6° but it's a computer so I can't tell

Paula makes two slices through a three-dimensional object. One plane is
parallel to the base; the cross-section is a circle. The other plane is
perpendicular to the base; the cross-section is atriangle. What three-
dimensional shape did Paula cut?
• A. Rectangular prism
O B. Cone
O C. Cube
• D. Cylinder

Answers

The answer to your question that you asked is cone or B

How many ways can you choose 5 players from 14

Answers

Answer:2002 combinations

Step-by-step explanation:I did the math on my paper

Find the slope of the line through the points (4, -1) and (-2, -1).
The slope is

Answers

Answer:

0

Step-by-step explanation:

use a slope calculator

if you plot the two points:

(4,-1) right 4 down 1

and (-2,-1) left 2 down 1

and draw a line through those two points you end up with a flat line.

The slope of a flat line is 0

I hope this helps and is the BRAINLIEST!

Good Luck with your studies!

Gary is using 96 1 cm cubes to build a rectangular prism he wants the rectangular prisms have a height of 6 cm which of these shows dimensions Garrett cannot you

Answers

The dimension Garet must not use to construct the rectangular prism is 10 cm × 2 cm × 6 cm.

He is using 96  1cm cubes to build a rectangular prism . He wants the rectangular prism to have a height of 6 cm.

Volume of a cube?

volume of a cube = l³

where

l = side length

Therefore, each volume of the cube is as follows:

volume of cube = 1³ = 1 cm³

The total volume of the whole 96 cubes = 96 cm³

Therefore, the volume of the rectangular prism should be the same with the volume of the whole cubes. But must have a height of 6cm.

Hence, the dimension that Garret must not use is 10 cm × 2 cm × 6 cm.

learn more on rectangular prism here: https://brainly.com/question/12481486

Pls help !!!
No links pls and ty<3

Answers

Answer:

that would be 700ft^2

Step-by-step explanation:

The rectangle on top has area of 23 × 14 = 322ft^2
the rectangle on bottom has area of 23 × 12 = 276ft^2

Two triangles make 1 rectangle with area 17 × 12 = 102ft^2

Add them all up 700ft^2

Answer:

that would be 700ft^2

Step-by-step explanation:

The rectangle on top has area of 23 × 14 = 322ft^2

the rectangle on bottom has area of 23 × 12 = 276ft^2

Two triangles make 1 rectangle with area 17 × 12 = 102ft^2

Add them all up 700ft^2

If 30% of a number equals to 25 what is 60% of that number

Answers

Answer:

50

Step-by-step explanation:

25*2

60% is double 30% so 60% of the number would be 50

Which function can be used to represent the graphed geometric sequence?

f(x) = 80(One-fourth) Superscript x minus 1
f(x) = 320(One-fourth) Superscript x minus 1
f(x) = 80(4)x – 1
f(x) = 320(4)x – 1

Answers

Answer:

A) 80(One-fourth) Superscript x minus 1

Step-by-step explanation:

Used the table function on my calculator. 1/4 of 80 is 20 and 1/4 of 20 is 5. f(1) = 80 f(2) = 20 f(3) = 5 and so on. Hope that made sense!

Answer:

f(x) = 80 [tex](\frac{1}{4}) ^{x-1}[/tex]

Step-by-step explanation:

the nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

given the points (1, 80 ) , (2, 20 ) , (3, 5 )

then

x |    1    2    3

y |  80  20  5

with a₁ = 80 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{20}{80}[/tex] = [tex]\frac{1}{4}[/tex] , then

f(x) = 80 [tex](\frac{1}{4}) ^{x-1}[/tex]

What is the distance between -4 and -14?

Answers

Answer:

the distance between -4 and -14 is 10

Step-by-step explanation:

they both as negative numbers

Answer:

Distance = 10

Step-by-step explanation:

⇒ Distance = Larger integer - Smaller integer

In this case, the larger integer is -4 and the smaller integer is -14. Keep in mind that if two integers are negative, the integer that is closest to 0 is greater than the other integer.

⇒ Distance = (-4) - (-14)

Simplify the expression on the R.H.S:

⇒ Distance = -4 + 14                                                            [-1 x -1 = 1]

Distance = 10

The volume of Solid A is 28m^3 and the volume of solid B is 1,792m^3. If the solids are similar what is the ratio of the surface are of solid A to the surface area of solid B

Answers

The ratio of the surface area of solid A to the surface area of solid B is 1/64

How to calculate the ratio of similar shapes

The volume is the amount of substance an object contains

Given the following parameters

Volume of solid  A = 28m^3

Volume of solid B =  1,792m^3.

Calculate the ratio of the surface area

Ratio = A/B
Ratio = 28/1792
Ratio = 1/64

Hence the ratio of the surface area of solid A to the surface area of solid B is 1/64

Learn more on similar shapes here: https://brainly.com/question/2644832

mr.spencer has 7 1/5 liters of juice he wants to pour equal amounts of juice into 3 punch bowls how many liters of juice should he pour in each bowl?

Answers

Answer:

2.4

Step-by-step explanation:

1/5=0.2

7.2/3=2.4

What is an
equation of the line that passes through the points
(1,4) and (3,0)?

Answers

Answer:

y = -2x +6

Step-by-step explanation:

A rectangle’s length is 5 inches more than twice its width. its area is 50 square inches. which equation can be used to find its width, w? 2w(2w 5) = 50 2w(w 5) = 50 w(2w 5) = 50 w(w 5) = 50

Answers

The equation of the area of the rectangle is w(2w + 5) = 50. Then the correct option is C.

What is a rectangle?

It has four sides and is a polygon. The internal angle adds up to 360 degrees. The opposite sides of a rectangle are parallel and equal, and each angle is 90 degrees. Its diagonals are equally equal, intersecting in the middle.

A rectangle’s length is 5 inches more than twice its width. its area is 50 square inches.

Let the width of the rectangle be w, then the length of the rectangle will be (2w + 5).

Then the area of the rectangle is given as

Area = l × w

Then we have

w(2w + 5) = 50

More about the rectangle link is given below.

https://brainly.com/question/10046743

0.905 x 0.234 how do you multiply this? working it out without the decimals then adding the decimal back doesn't give me the correct answer.

Answers

0.21177 is the answer



A consumer charges a $2,530.16 purchase on a credit card. the card has a daily interest rate of 0.042%. if the balance is paid off at the end of 30 days, how much interest will the consumer pay? a. $0.32 b. $3.19 c. $31.88 d. $318.78

Answers

The total interest consumer pay on the credit card which has a daily interest rate of 0.042% is $32.08.

What is compound interest?

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

[tex]A=P\times\left(1+\dfrac{r}{100}\right)^{t}\\[/tex]

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate r of in the time period of t.

In the given problem,

A consumer charges a P, $2,530.16 purchase on a credit card. The card has a daily interest rate r of 0.042%. The balance is paid off at the end of 30 days. Thus the time t is 30.

Put these values in the above formula as,

[tex]A=2530.16\times\left(1+\dfrac{0.042}{100}\right)^{30}\\\\A=2562.24[/tex]

The interest amount paid is,

[tex]I=A-P\\I=2562.24-2530.16\\I=32.08[/tex]

Thus, the total interest consumer pay on the credit card which has a daily interest rate of 0.042% is $32.08.

Learn more about the compound interest here;

https://brainly.com/question/24274034

Answer:

The correct answer is C

Step-by-step explanation:

how do you know the order in P.E.M.D.A.S

Answers

Answer:

Paranthesis, Exponents, Multipilication, Division, Addition, Subtraction

Step-by-step explanation:

The way I learned it was by saying a phrase that goes like, "Please Excuse My Dear Aunt Sally". I repeated this many times and it got stuck in my mind ever since.

For the function f(x) = −3x + 1, what is the value of f −1(x) for x = 4?

Answers

Answer:

-1

Step-by-step explanation:

inverse is -(x-1)/3

-(4-1)/3 is -1

What’s this answer please?

Answers

answer:

157.08 square cm (when rounded to hundredths)

unrounded - 157.0796327

please help, i would really appreciate your help

Answers

Answer:

x = 7

Step-by-step explanation:

Since the lines are parallel, we know that the two angles are equal. So you can write (7x - 4) = (5x + 10). Then you just solve for x.

7x - 4 = 5x + 10

add 4 from both sides to get

7x = 5x + 14

subtract 5x from both sides to get

2x = 14

divide both sides by 2 to get

x = 7

Corresponding angles are Same

7x-4=5x+107x-5x=10+42x=14x=14/2x=7

true or false if two half planes never intersect, then their system of inqeualities has no solution

Answers

Answer:

True

Step-by-step explanation:

If two of the half planes never intersect, there is no way for the lines to reach each other hence giving no soultion

Answer:

its false

Step-by-step explanation:

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