Dividing the polynomial P(x) by x+5 yields a quotient Q(x) and a remainder 6 of . If Q(5)=2, find P(5) and P(-5).

Answers

Answer 1

9514 1404 393

Answer:

  P(5) = 26

  P(-5) = 6

Step-by-step explanation:

The remainder statement tells us ...

  P(x) = Q(x)·(x +5) +6

Evaluating this for x=5, we get ...

  P(5) = Q(5)(5+5) +6

  P(5) = (2)(10) +6

  P(5) = 26

And for x = -5, we have ...

  P(-5) = Q(-5)(-5 +5) +6

  P(-5) = 0 +6

  P(-5) = 6


Related Questions

What is the definition of mathematic

Answers

Answer:

   Mathematics   :Mathematics is the science that deals with the logic of shape, quantity and arrangement. Math is all around us, in everything we do. It is the building block for everything in our daily lives, including mobile devices, architecture (ancient and modern), art, money, engineering, and even sports.

Since the beginning of recorded history, mathematic discovery has been at the forefront of every civilized society, and in use in even the most primitive of cultures. The needs of math arose based on the wants of society. The more complex a society, the more complex the mathematical needs. Primitive tribes needed little more than the ability to count, but also relied on math to calculate the position of the sun and the physics of hunting.

Anyone know how to do this?

Answers

Answer:

any number that satisfies this equation is imaginary.

Step-by-step explanation:

if you take the square root of both sides to find x, you will get a negative 1 in the house. You can't have a negative number in the house, therefore, any number that satisfies this equation is imaginary.

A rectangular prism has the following dimensions.

length: 18 inches

width: 1 foot

height: 14 inches

If all the dimensions of this prism are tripled, what will be the surface area of the new figure?

7,632 in. 2
11,448 in. 2
3,816 in. 2
27,216 in. 2

Answers

Answer: 11,448

Step-by-step explanation: I’m not sure if this is correct but I saw this answer a few times on another website similar to Brainly, and I thought it could help you all, if it’s correct.

The surface area of new rectangular prism is 11448 square inches.

What is a rectangular prism?

A rectangular prism can be defined as a 3-dimensional solid shape which has six faces that are rectangles.  It has 8 vertices, 6 faces, and 12 edges in which all the pairs of opposite faces are congruent.

For the given situation,

Length of the rectangular prism = 18 inches

Width of the rectangular prism = 1 foot = 12 inches

Height of the rectangular prism = 14 inches

All the dimensions are tripled, so multiply all the dimensions by 3.

Length, l = [tex](18)(3)[/tex]

⇒ [tex]l=54[/tex]

Width, w = [tex](12)(3)[/tex]

⇒ [tex]36[/tex]

Height, h = [tex](14)(3)[/tex]

⇒ [tex]42[/tex]

The formula of surface area of rectangular prism is

[tex]A=2(lw+wh+lh)[/tex]

⇒ [tex]2((54)(36)+(36)(42)+(42)(54))[/tex]

[tex]2(1944+1512+2268)[/tex]

⇒ [tex]2(5724)[/tex]

⇒ [tex]11448[/tex]

Hence we can conclude that the surface area of new rectangular prism is 11448 square inches.

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angle d is a vertical angle to angle f. The measure of angle d is 53 degrees. What is the measure of angle f?

Answers

Answer:

53 degrees

Step-by-step explanation:

Answer:

53

Step-by-step explanation:

Angle D = Angle F as they are vertical angles :)))

I know one answer is C

Answers

Answer:

A&C

Step-by-step explanation:

As, you said, the first answer is C. Now, we are given seven, and when we are adding a negative number, we move in the direction of left, and since we are moving by 7, we would be moving 7 to the left. Therefore, the other answer is A.

If y varies inversely as x, and y= 12 as x=2, how do you find the y for the x-value of 6?

Answers

Answer: X=4 and y=4

Step-by-step explanation:

Answer:

x =4

Explanation: As x and y are inversely proportional, the equation can be represented as x=k/y.

Substituting x=2 and y=12, we get 2=k/12=> k=12⋅2 => k=24.Equation can be represented as x=24/y. So, when y=6, we get x=24/6 => x=4

Find the exact value of tan 270º in simplest form with a rational denominator.

Answers

Answer:

the tangent of 270 is undefined

Step-by-step explanation:

Tan is sin/cos

270 is at (0,-1), so the cos is 0 and sin is -1

tan is -1/0  which is undefined

What is the vertex of x2 + 8x + 12?

Answers

Answer:

(-4,-4)

YW :))

Or you could of just looked it up cause thats what I did!!

4 1/4 ÷2equals please help

Answers

Answer:

2.125

Step-by-step explanation:

Answer:17/8, 2 1/8, and 2.125

Step-by-step explanation:

Convert to improper fraction then multiply by the reciprocal!

Jeanne is making black beans and rice. She ha 3/4 cup black beans. Each serving requieres 3/16 cup of black beans. Jeanne will use the expression below to calculate how many servings she can make. 3/4 divided by 3/16 What expression can also be used to calculate the nimber of servings Janne can make?

Answers

Hopes this helps:

Answer: G

Have a great day.

ILL GIVE BRAINLYEST TO WHOEVER IS CORRECT PLEASE


The dot plots show the amounts, in dollars, that two
waiters made in tips at different tables.
Waiter A: Tips (dollars)
4 6 8 10 12 14 16 18 20 22 24
Waiter B: Tips (dollars)
4 6 8 10 12 14 16 18 20 22 24
Which of the following statements is correct?
A. The mean for waiter B is higher than the mean for waiter A.
B. The mean for waiter A is the same as the mean for waiter B.
C. The mean for waiter A is higher than the mean for waiter B.
O D. There are more tips shown for waiter A than for waiter B in the dot
plots.

Answers

Answer:

A The mean for waiter B is higher than the mean for waiter A.

Answer:

The mean for waiter B is higher than the mean for waiter A.

Step-by-step explanation:

Test approved

Find the quotient: 2 2/3 ÷ 3 1/4

Answers

Answer: =32/39 (Decimal: 0.820513)

Step-by-step explanation: Hope this help :D

A teacher decorated her classroom with 3 times as many balloons as paper fans. She used 12 fewer streamers than twice the number of paper fans. If the teacher had a total of 120 balloons, paper fans, and streamers, how many of each kind of decoration did she use?

Answers

Answer:

Hi– I didn't answer this problem but someone else did.

Step-by-step explanation:

https://brainly.com/question/23533871

When using a general linear programming optimization model for transportation problems, if there are 4 sources and 3 destinations, which of the following statements is true? There are typically 12 decision variables and 7 constraints. There are typically 4 decision variables and 3 constraints. There are typically 12 decision variables and 12 constraints. There are typically 7 decision variables and 7 constraints.

Answers

Answer:

There are typically 12 decision variables and 7 constraints. ( option A )

Step-by-step explanation:

Given that there are 4 sources and 3 destinations The true statement is :

There are typically 12 decision variables and 7 constraints.

Because : In general linear programming optimization

number of decision variables in transportation  = destination * source

                                                                               = 3 * 4 = 12 variables

number of constraints = destination + sources = 3 + 4 = 7 constraints

La frase lingüística "cuatro veces un número dividido por la suma de dos

números", escrita como una frase algebraica es:Opción única.

(1 Punto)


4 + +


4 ÷ +


4 +


4 +

Answers

Answer:

Las opciones no se pueden ver, así que responderé de una forma general.

Primero rompamos la frase en partes más cortas

"cuatro veces un número..."

Esto se escribe como 4*N, donde N es el número.

"... la suma de dos

números"

Esto se escribe como K + M

donde K y M son dos números, entonces K + M es la suma de dos números.

Entonces:

"cuatro veces un número dividido por la suma de dos

números"

Se escribirá como:

(4*N)/(K + M )

graph the solution -3(x+2)+2(4x-6)>22

Answers

Step-by-step explanation:

-3x - 6+ 8x - 12 >22

5x -18 >22

5x -18 +18 >22 + 18

5x/5 > 40/5

x > 8

S.s { 1,2,3,4,5,6,7}

Probability and Statistics
Acellus
The probability distribution for a
random variable x is given in the table.
Help Resources
-10
-5
0
5
10
15
20
.20
.15
.05
.1
Probability
.25
.1
.15
Find the probability that x> 5

Answers

The probability distribution for a random variable x is given in the table x > 5 is 0.5.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

We are given that;

The table

Now,

Using these facts, we can find the probability that x > 5 from the given table:

The possible values of x that are greater than 5 are 10, 15, and 20. We need to add their probabilities to get the probability of x > 5.

The probability of x = 10 is 0.25, the probability of x = 15 is 0.1, and the probability of x = 20 is 0.15. Adding them together, we get:

P(x > 5) = P(x = 10) + P(x = 15) + P(x = 20)

P(x > 5) = 0.25 + 0.1 + 0.15

P(x > 5) = 0.5

Therefore, the probability will be 0.5.

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9. A shipping box is shaped like a rectangular prism. The dimensions of the box are in inches, as shown below.
(w+5) inches
(w+4) inches."
(2w) inches
Which expression describes the volume, in cubic inches, of the box?
A. 2w3 + 9w + 20
B. 243 + 182 + 402
C. 2u2 + 18w + 40
D. 2w2 + 4w+5

Answers

Given:

The dimensions of the box are (w+5) inches, (w+4) inches, (2w) inches.

To find:

The expression that describes the volume of the box.

Solution:

We know that the volume of a rectangular prism is:

[tex]V=length\times breadth \times height[/tex]

Substituting the given values, we get

[tex]V=(w+5)\times (w+4) \times 2w[/tex]

[tex]V=(w^2+5w+4w+20)2w[/tex]

[tex]V=(w^2+9w+20)2w[/tex]

Using distribution property, we get

[tex]V=(w^2)2w+(9w)2w+(20)2w[/tex]

[tex]V=2w^3+18w^2+40w[/tex]

Therefore, the volume of the box is [tex]2w^3+18w^2+40w[/tex] cubic inches.

Note: All the options are incorrect.

Nina purchases a gallon of milk for $3 and some tomatoes for $2 per pound
from the grocery store. Which equation represents the relationship
between the number of poundsp of tomatoes purchased and the total
amount x Nina spent at the grocery store? *

Answers

Answer:

x = 3 + 2p        (2p is 2 times p)

Identify all of the transformation effects on the graph of the function f(x) = x when f(x) is replaced with -f(x + 4) - 6.
A)
shifted up 6 units
B)
shifted down 6 units
shifted left 4 units
D)
shifted right 4 units
E)
reflected over x-axis

Answers

Answer: B,C E put as brainliest

Step-by-step explanation:

If the perimeter of the rectangle below is cut in half, what is the area of the new rectangle?

No links, docs, files, drives etc
I will mark the correct answer brainlyest
You earn many points​

Answers

50. 20 turns to 10 and 10 turns to 5. Ten times is 50

A cylinder has a height of 3 meters and a radius of 5 meters. What is its volume? Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

141.37 m^2

Step-by-step explanation:

V = (pi)r^2h

V = (3.14)(3 m)^2(5 m)

V = 141.37 m^2

Two cell phone companies offer a monthly discount. The table shows the original
monthly charge and the monthly discount for both companies.
Monthly Discount
Original Monthly
Charge
$86.25
$5.15
Company R
Company S
$73.25
$2.75
In one year, how much more does a Company R customer pay than a Company S
customer?
(Note: Express the answer as dollars.cents.)

Answers

Answer:

243

Step-by-step explanation:

you see its math.

LINK = REPORT

Simplify.
(-8^3)^2

A) (-8)
B) (-8)^5
C) (-8)^6
D) 16^3


And please answer this one if you can!

(4^3)^5

A). 4^-2
B). 4^3
C). 4^8
D). 4^15

I will give brainliest if the answer is right!

Answers

Answer:

Part 1:

(-8)^6

Part 2:

4^15

When raising a number to a power and then that value to another power, you can multiply the exponents.

Emily works 8 hours and made $80. How much does she make if she works 30 hours? *​

Answers

Answer:

$300

Step-by-step explanation:

hourly rate

80 / 8 = $10/hr

Working 30 hrs

30 * 10 = $300

Answer: She would make $300

Step-by-step explanation: If Emily worked 8 hours and received $80, that means she's being paid $10 an hour. Just multiply 30 x 10 and you'll get 300 :)

Lillian wraps a gift box in the shape of square pyramid 7.4cm , 8.6 cm . How much wrapping paper did she use in centimeters?

Answers

Answer:

Step-by-step explanation:

Lillian used 201.24 square centimeters of wrapping paper.

Daniel is very extraverted.He admits that he is not comfortable unless surrounded by other people,and he energetically pursues activities that require the company of others.His cousin Bill,about the same age,is very introverted.Bill is self-reflective and prefers more solitary pursuits.Regardless of their personality characteristics,which of the following is likely to contribute most to their long-term happiness?
A) They are good friends who are willing to help each other in difficult times.
B) They bought a lottery ticket together and were lucky enough to win a huge jackpot.
C) They both have jobs that require very little effort.
D) They both have very few responsibilities and are careful to avoid committing themselves to any community service.

Answers

Answer:

A is the most likely answer

Step-by-step explanation:

but how is this a math question?

Please help, if you can use explanations would be much better

Consuela is a photographer and must mix a chemical in the ratio of chemical:water = 1:9. If she uses 15 fl oz of water in the mixture, how many fl oz of the chemical should she use

Answers

Answer:

x= 15/9 fl oz

Step-by-step explanation:

 write the such that chemicals are on one side of : and water on the other

   chemical : water

                 1 : 9

x chemical : 15 of water

now we know that

x/1 = 15/9  cross multiply to find x

x= 1*15/9 = 15/9  ≈ 1.67 fl oz

A company making tires for bikes is concerned about the exact width of their cyclocross tires. The company has a lower specification limit of 22.8 mm and an upper specification limit of 23.2 mm. The standard deviation is 0.15 mm and the mean is 23 mm. (Round your answer to 4 decimal places.) What is the process capability index for the process

Answers

Answer:

For this process, the capability index is 0.4444

Step-by-step explanation:

Given the data in the question;

Lower specification limit = 22.8 mm

Upper specification limit = 23.2 mm

The standard deviation σ = 0.15 mm

Mean μ = 23

capability index Cpk = ?

Now, Using the formula;

Cpk = min{ [(USL - μ)/3σ], [(μ - LSL)/3σ]

where USL is the Upper specification limit, LSL is the Lower specification limit, σ is the standard deviation, μ is the mean

so we substitute

Cpk = min{ [(23.2 - 23 )/(3×0.15)], [(23 - 22.8)/(3×0.15)] }

Cpk = min{ [0.2 / 0.45 ], [0.2 / 0.45] }

Cpk = min{ [ 0.4444 ], [0.4444] }

Therefore, for this process, the capability index is 0.4444

is anyone good at geometry? i need help with a few assignments i'll literally do anything

Answers

Answer:

what is the problem

Step-by-step explanation:

it doesnt show anything

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