find the positive value of p if the expression 2x²-px+p leaves a remainder 6 when divided by x-p​

Answers

Answer 1

Explanation:

[tex]f(x) = 2x^2 -px + p\\given \ f(x) \ \ leaves ] remainder \ when \ divided \ by \ x - p \\\\Therefore, \\\\f(p) = 6\\\\=> f(p) = 2(p)^2 -p(p) + p = 6\\\\==>2(p)^2 - p^2 + p = 6\\\\=> p^2 + p - 6 = 0\\\\=>p^2 + 3p - 2p -6 = 0\\\\p(p+3)-2(p+3) =0 \\\\(p-2)(p+3) = 0\\\\p = 2, -3[/tex]

Answer : p = 2


Related Questions

A right cylindrical vase holds 2.50 L of water. If the radius of the vase is 9.00 cm, what is the height of the vase, rounded to the nearest hundredth of a centimeter? (Note: 1 cm3 = 0.001L)​

Answers

Answer: 9.82 cm

Step-by-step explanation:

What is the measure of BA (the minor arc) in the diagram below?
D
B
72"
A
C
A. 1440
B. 216°
C. 36°
D. 72°
helppp plsss

Answers

Answer:

144

Step-by-step explanation:

you have to use this formula

m CBA>= a

BA ( =2a

CBA>=72

BA )=72×2

hopefully its helpful

Answer:

A

Step-by-step explanation:

The inscribed angle ABC is half the measure of its intercepted arc AB, then

arc AB = 2 × ∠ ABC = 2 × 72° = 144° → A

HELPP i'll give brainliest for the CORRECT answer

Answers

Answer:

a = 105 in²

Step-by-step explanation:

Front and back, triangles

a = 2 * (1/2)(5 * 6)

a = 30

Sides, squares

a = 3 * (5 * 5)

a = 75

Total

a = 30 + 75

a = 105 in²

please help me!! i have no clue what i am doing on this one.

Answers

Answer:

yr answer is G. 21

stay safe healthy and happy..

log 2 (24) - log 2 (3) = log 5 (x)

log 2 (24 / 3) = log 5 (x)

log 2 (8) = log 5 (x)

log 2 (2^3) = log 5 (x)

3 × log 2 (2) = log 5 (x)

3 × 1 = log 5 (x)

3 = log 5 (x)

x = 5^3

x = 125

A rectangle has an area of 4y^2 – 49 square units. What are the dimensions of the rectangle?

A) (2y – 7) units by (2y – 7) units

B) (4y – 49) units by (y + 1) units

C) (2y – 7) units by (2y + 7) units

D) (y – 7) units by (4y + 7) units

Answers

The dimensions of the rectangle are (2y – 7) units by (2y + 7) units

Area of a rectangle

The formula for calculating the area of a rectangle is expressed as

Area = length * width

Given the following parameter

Area = .4y² - 49

Factorize the area

Area = (2y)² - 7²

Using the difference of two square

Area = (2y - 7)(2 y + 7)

Hence the dimensions of the rectangle are (2y – 7) units by (2y + 7) units

Learn more on area of rectangle here: https://brainly.com/question/25292087

#SPJ1

WHAT IS 8901 times 45378 Noo linkes

Answers

Answer:

403909578

Step-by-step explanation:

hey! i’ll give brainliest help thanks

Answers

Answer: The last one

Step-by-step explanation:

Answer:

D. 4th Option.

Explanation:

The cause is that a team is from your town and the effect is that you'll try to be a fan. The italicized words if and then indicate a cause and effect.

A corporate team-building event costs $2 for every attendee. Write an equation that shows the relationship between the attendees x and the cost y.

Write your answer as an equation with y first, followed by an equals sign.

Answers

Answer:

y = 2x

Step-by-step explanation:

1. attendee = x

2. cost = y

3. for each attendee [x], you have $2 of cost, so for each 1 x, you have 2 as result

4. Thus, y = 2x

helppppp make your answers clear

Answers

Answer:

189 yd²

Step-by-step explanation:

so in a prism, there are total 5 surfaces;

3 rectangular(all of same size)

2 triangular (of same sizes too)

so the area of trangle = 1/2× base × height = 1/2 × 6× 4 = 12yd²

for two triangles, Area= 24 yd²

area of a rectangle= length× breadth = 11× 5 = 55yd²

for three rectangles, area= 165yd²

now you add them

total surface area = 24+ 165= 189yd²

Tony's class needs more than $500 for the school dance.
So far, they have raised $200. They plan to have a car
wash, charging $8 a car, to raise more money. Tony
solved the inequality 8x + 200 > 500, and determined
that if they wash 37 cars, they will have enough money.
Is he correct? Explain.
(Please reply with sample answer if there is one!!)

Answers

Answer:

yes hes correct.

Step-by-step explanation:

37x8=296. 296+200= 596. 596>500

Answer:

No, Tony is not correct. Solving the inequality tells us that x is greater than or equal to 37.5 Since the class must wash a whole number of cars, they need to wash at least 38 cars.

Step-by-step explanation:

I did the assignment, this is the Sample Response.

Carlos makes a 15% commission on the mattresses that he sells to customers. If he sells $8,500 worth of mattresses, what is his commission?

Answers

Answer:

Net commission= $1,275

Step-by-step explanation:

Giving the following information:

Sales= $8,500

Sales commission rate= 15% = 0.15

To calculate the net commission, we need to use the following formula:

Net commission= sales * Sales commission rate

Net commission= 8,500 * 0.15

Net commission= $1,275

WILL GIVE BRAINLIEST IF RIGHT IG....PLEASE get it RIGHT....
find the volume of a cone with a diameter of 12m and a height of 8m.
ANSWER CHOICES
oA. 96m^3
oB. 384 pi m^3
oC. 96 pi m^3
oD. 288 pi m^3

Answers

Answer:

V = 96 pi m^3

Step-by-step explanation:

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

Radius = 1/2(Diameter)

R = 1/2(12)

R = 6

Input.  

V = (1/3) pi(6^2)8

Solve.

V = (1/3) pi(36)8

V = (1/3) 904.32

V = 301.44

V = 301.44/pi

V = 96 pi m^3

Answer:

The correct answer is option (C) 96π m³.

Step-by-step explanation:

As per given question we have provided that :

Diameter = 12 mRadius = 12/2 = 6 mHeight = 8 m

Here's the required formula to find the volume of cone :

[tex]{\longrightarrow{\pmb{\sf{V_{(Cone)} = \dfrac{1}{3}\pi{r}^{2}h}}}}[/tex]

➝ V = Volume➝ π = 22/7➝ r = radius➝ h = height

Substituting all the given values in the formula to find the volume of cone :

[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{3}\pi{r}^{2}h}}}[/tex]

[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{3}\pi{(6)}^{2}8}}}[/tex]

[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{3}\pi{(6 \times 6)}8}}}[/tex]

[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{3}\pi \times {(36)} \times 8}}}[/tex]

[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{3} \times \pi \times 36 \times 8}}}[/tex]

[tex]{\implies{\sf{V_{(Cone)} = \dfrac{1}{\cancel{3}} \times \pi \times \cancel{36} \times 8}}}[/tex]

[tex]{\implies{\sf{V_{(Cone)} = \pi \times 12 \times 8}}}[/tex]

[tex]{\implies{\sf{V_{(Cone)} = \pi \times 96}}}[/tex]

[tex]{\implies{\sf{V_{(Cone)} =96\pi}}}[/tex]

[tex]\star{\underline{\boxed{\sf{\red{V_{(Cone)} =96\pi \: {m}^{3}}}}}}[/tex]

Hence, the volume of cone is 96π m³.

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

PLEASE HELP ME!!! I WILL GIVE YOU BRAINLIEST

Answers

Answer:

hi i think you answer will be 28 square units

Look at the picture

Answers

Its d because 16/12=1.33 same with 20/15 and 40/30 so its 24x1.33 which is 32 there for d is correct

PLEASE HELPPP! TWO DIFFERENT GRAPHS, TWO DIFFERENT QUESTIONS,


#1 Which statement is true? Select all that apply. (There are multiple correct answers, select ALL.) + (This is for the SUBMARINE graph.)


A: The relationship is proportional.

B: The slope is -6.

C: The slope is negative.

D: The y-intercept is -3.

E: The equation of the line is y=-3x


#2 PART A: What is the slope of the line? (Only one is correct.) + (This is for the water in the sink graph)

m = 2

m = -2

m = 1/2

m = -1/2


#2 PART B: Connor says the graph shows that water is flowing at a rate of 2 gallons per minute. Is he correct? (Yes or no)

Answers

Answer:

I am not 100%

#1 = C,D,E

#2 = 1/2

mean absolute deviation of 50 51 56 59

Answers

i think it’s 3.5

The mean deviation is a measure of dispersion, A measure of by how much the values in the data set are likely to differ from their mean. The absolute value is used to avoid deviations with opposite signs cancelling each other out.

What is the mean of this data set? (Round to the nearest whole number)

14, 79, 77, 11, 14, 78, 77, 65, 31, 56, 16
77
14
47
56

Answers

Answer:

47

Step-by-step explanation:

to find the mean we add all numbers and divide by how many there are

14+79+77+11+14+78+77+65+31+56+16/ 11 ≈ 47

PLZ HELP ASAP :( I need to show work and this is my very last assignmenttt
(part 2)

Answers

Answer:

3. 60°

4. 378.542

Step-by-step explanation:

in the picture

4) 9i(5) + 5i(3)– 10i​

Answers

Answer:

50i

Step-by-step explanation:

The length of a rectangle is 8 cm. Its diagonal measures 14
cm. What is its width?

Answers

Answer:

width is 2√33 cm

Step-by-step explanation:

you will make a right triangle with hypothenuse 14 , one side 8 and the other side x is the width.

use Pythagorean Th.

14² = 8² + x²

x² = 14² -8²

x² = 132

x = √132 = 2√33

Sally's math grade average went from an 84 to a 98. What was the percent of increase in her grade average?
A. 14% B. 14 2/7% C. 16 2/3% D. 22%
Please answer with clear explanation not just the answer please

Answers

Answer:

98 - 84 = 14(this is the change) now we convert this to a percent

14/1 x 100/100 = 14%

Ella builds a rectangular sandcastle with a length of 41 inches and a width of 32 inches. What is the perimeter of her sandcastle?

Answers

Answer: [tex]146\ in.[/tex]

Step-by-step explanation:

Given

The dimension of the rectangular sandcastle is

length [tex]l=41\ in.[/tex]

width [tex]w=32\ in.[/tex]

Perimeter is the sum of the sides of rectangle

[tex]\therefore\ \text{Perimeter= }2\left(l+w\right)\\\Rightarrow \text{Perimeter= }2(41+32)\\\Rightarrow \text{Perimeter= }2\times 73\\\Rightarrow \text{Perimeter= }146\ in.[/tex]

Can you help me, its due in a few minutes ?

Answers

Answer:

96 miles

Step-by-step explanation:

180 * 4/5 =144

144/ 3/2 =96

Pls answer if u dont get answer right u. Get the boot no points and a report if u scam

Answers

Answer:

.65

Step-by-step explanation:

4.58/7=.65

The pool at the hotel where Gabriel is staying is symmetrical and shaped like the letter "W" below. A pool is made up of 3 rectangles. One rectangle has a base of 10 yards and height of 10 yards. Another has a base of 20 yards and height of 10 yards. Another has a base of 20 yards and height of 10 yards. The bottom surface of the pool is flat and needs new tile. If each tile covers StartFraction 1 Over 9 EndFraction of a square yard and costs $3, what is the cost of the tiles to retile the bottom of the pool? $1,500 $4,500 $10,800 $13,500

Answers

Answer:

So its just 4,500 yw

Step-by-step explanation:

4,500 so b i think                                              

if u = 1 + 3i and v= -4 - 5i, find u + V.

Answers

Answer:

-3-2i

Step-by-step explanation:

u+V= 1+3i+(-4-5i)=1+3i-4-5i= -3-2i

Jackie And her friends of their favorite organization. Jackie received four times the votes warren received .there were 200 ballots cast how many votes did Jackie receive

Answers

Answer:

800

Step-by-step explanation:

Need help with 2 and 3 ASAP PLEASE SHOW WORK

Answers

Answer:  #2; 25.13274,  #3; 167.55161

Step-by-step explanation:

What is this distance in standard form??

Answers

the correct answer is b 226000

Decide if the following biconditional statement
is true or false;
A triangle is equilateral if and only if three sides
are congruent.
True
False

Answers

Answer:

True

Step-by-step explanation:

Pretty sure it's true.

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