P(x) · Q(x) = R(x); if P(x) = x + 1 and R(x) = 2x³ + 2x²- 3x-3, what is Q(x)?
A. 2x² - 3
B. 2x² - 2
C. 2x² + 2
D. 2x² + 3

Answers

Answer 1

Answer: A

Step-by-step explanation:

[tex]P(x) Q(x)=R(x)\\\\(x+1)Q(x)=2x^3 + 2x^2 - 3x-3\\\\Q(x)=\frac{2x^3 + 2x^2 - 3x-3}{x+1}\\\\Q(x)=\frac{2x^2 (x+1)-3(x+1)}{x+1}\\\\Q(x)=2x^2 - 3[/tex]


Related Questions

Please help me with this !!!

Answers

Answer:

Step-by-step explanation:

I assume that QP = 18 cm and m∠Q = 72°

Answer:

[tex]\fbox {P = 6.76 cm}[/tex]

Step-by-step explanation:

Finding the missing angle :

22° + ∠R + 72° = 180°∠R = 180° - 94°∠R = 86°

Applying the Law of Sines :

[tex]\boxed {\frac{sin P}{P} = \frac{sin R}{PQ}}[/tex]

Substituting the known values :

sin 22° / P = sin 86° / 18P = sin 22° × 18 / sin 86°P = 0.374606593 × 18 / 0.99756405P = 6.76 cm

What is the missing number in the synthetic division problem below? NEED HELP FAST!

Answers

Answer:

9

Step-by-step explanation:

3 + 0 = 3

-2 + 6 = 4

2 + 18 = 20

From this:

1 + 8 = 9

Answer:

A.9

Step-by-step explanation:

✓3 + 0 = 3

✓ -2 + 6 = 4

✓ 1 + 8 = 9

✓ 2 + 18 = 20 beacuse of this the answer is 9

Which of the following steps would you perform to the system of equations
below so that the equations have opposite y-coefficients?
4x+2y = 4
12X - Y = 26
A. Divide both sides of the top equation by 3

B. Divide both sides of the bottom equation by 3
• C. Multiply both sides of the bottom equation by 2
• D. Multiply both sides of the top equation by 2

Answers

Answer: Choice C

Multiply both sides of the bottom equation by 2

Reason:

The y coefficient of the first equation is 2. For the other equation, that y coefficient is -1. We need these coefficients to be equal but opposite. One way to do this is to double everything in the bottom equation

The bottom equation 12x-y = 26 doubles to 24x - 2y = 52

At this point we have the equivalent system of

[tex]\begin{cases}4x+2y = 4\\24x-2y = 52\end{cases}[/tex]

And we can see that we have equal but opposite y coefficients (2 and -2). The y terms add to 0 since 2y + (-2y) = 0y = 0 meaning we've eliminated y.

A client has just inherited a property. the deed is quite old, but she knows where the front two corners of the property are and that the distance between them is 210 feet. the shape is an irregular quadrilateral and the other three sides have distances of 515 feet, 232 feet, and 542 feet in a clockwise direction from the front left corner. more importantly, it is known that the front left corner of the property is a right angle.

Answers

Answer:

sorry ❣️ bro you halp me

2. complete the table to summarize each student's conjecture: (2 points: 1 point for each row)
student
conjecture
trey
serena

Answers

The statements which summarize each student's conjecture are:

Trey thinks building 4 arch will be a reflection and then a double translation.Serena thinks building 4 arch will be a double reflection.  

What are the students trying to find out?

Trey and Serena are both trying to find the number of stones that were in the original arch or vault. Thus, when they identify the number of stones and its main features, they would be able to determine the type of arch or vault that was built there.

The statements which summarize each student's conjecture are:

Trey thinks building 4 arch will be a reflection and then a double translation.Serena thinks building 4 arch will be a double reflection.  

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Complete Question:

The Students' Conjectures: During an archeological dig, the students found a voussoir from a semicircular stone arch. A voussoir is a trapezoidal (wedge-shaped) stone used to build an arch or vault.

1. What are the students trying to find out? (1 point)

2. Complete the table to summarize each student's conjecture: (2 points: 1 point for each row)

Answer:

Step-by-step explanation:

Put the steps in solving this inequality in the correct order…

Answers

Answer:

To solve this problem we first subtract 3 from both sides, giving the inequality -cw+3-3<= 15-3. We then simplify the equation to -cw<= 12. Next, we divide both sides by -c and flip the inequality. We flip the inequality because we are dividing by a negative. Now we have the inequality -cw/-c >= 12/-c. Lastly, we simplify to w >= -12/c.

Question 5(Multiple Choice Worth 5 points)

(05.05 LC)

PLEASE HELP!!!!
The base length of a triangle is 4 feet and the height is 2 feet. What is the area of the triangle?
2 square feet
4 square feet
6 square feet
8 square feet

Answers

Answer:

4 square feet

Step-by-step explanation:

Devon made a mosaic in art class with different-shaped tiles. She started by putting 2 rows of t triangle tiles at the top of the mosaic and 2 rows of c circle tiles at the bottom. She finished by putting 20 square tiles in between the triangle and circle tiles.

Answers

The expressions that represent number of tiles that Devon used on her mosaic:

A. 20 + 2t + 2c

D. 20 + t + t + c + c

What is an expression?

An expression refers to a mathematical equation which shows the relationship between two or more numerical quantities or variables.

For the expressions that represent number of tiles that Devon used on her mosaic:

Let the triangle tiles be t.Let the circle tiles be c.Two rows of t triangle tiles = t + t = 2t.Two rows of c circle tiles = c + c = 2t.

Mathematically, the expression is given by:

Total tiles = 20 + t + t + c + c

Total tiles = 20 + 2t + 2c.

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Complete Question:

Devon made a mosaic in art class with different-shaped tiles. She started by putting 2 rows of t triangle tiles at the top of the mosaic and 2 rows of c circle tiles at the bottom. She finished by putting 20 square tiles in between the triangle and circle tiles.

Pick all the expressions that represent how many tiles Devon used on her mosaic.

A. 20 + 2t + 2c

B. 20 + 4 ( t + c )

C. 2 ( 20 + t + c )

D. 20 + t + t + c + c

Could someone help me with the first two parts of this geometry question? I can do the third and fourth myself.

Answers

Answer:

see image

Step-by-step explanation:

see image. We can use the given info and definition of isosceles (congruent sides) and reflexive property (something is congruent to itself) to prove (i) by SSS.

The using "Corresponding Parts of Congruent Triangles are Conguent" (CPCTC) to get more info to prove (ii) by SAS

A container is the shape of an inverted right circular cone has a radius of 4.00 inches at the top and a height of 5.00 inches. At the instant when the water in the container is 2.00 inches deep, the surface level is falling at the rate of -2.00 in./s. Find the rate at which water is being drained.

Answers

The rate at which the water from the container is being drained is 24 inches per second.

Given radius of right circular cone 4 inches .height being 5 inches, height of water is 2 inches and rate at which surface area is falling is 2 inches per second.

Looking at the image we can use similar triangle propert to derive the relationship:

r/R=h/H

where dh/dt=2.

Thus r/5=2/5

r=2  inches

Now from r/R=h/H

we have to  write with initial values of cone and differentiate:

r/5=h/5

5r=5h

differentiating with respect to t

5 dr/dt=5 dh/dt

dh/dt is given as 2

5 dr/dt=5*-2

dr/dt=-2

Volume of cone is 1/3 π[tex]r^{2} h[/tex]

We can find the rate at which the water is to be drained by using partial differentiation on the volume equation.

Thus

dv/dt=1/3 π(2rh*dr/dt)+([tex]r^{2}[/tex]*dh/dt)

Putting the values which are given and calculated we get

dv/dt=1/3π(2*2*2*2)+(4*2)

=1/3*3.14*(16+8)

=3.14*24/3.14

=24 inches per second

Hence the rate at which the water is drained from the container is 24 inches per second.

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Which of the following systems of linear inequalities is represented by the
solution graphed below?
A. y 2 and ys x
B. x>2 and yz x
C. x22 and y> x
D. y 22 and y

Answers

The system is:

y < x

y ≥  2

So we conclude that the correct option is D.

Which system of inequalities is represented in the graph?

On the graph, we can see two lines. One with a positive slope that is dashed.

And a solid line that is constant of the form y = c.

We can see that the shaded region is above the constant line and below the line with a positive slope, so the system of inequalities is of the form:

y < line.y ≥ constant line (≥ is used because this line is solid).

The only option that has this form is option d:

y < x

y ≥  2

So we conclude that the correct option is D.

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The mass of a proton is about 1.7 x 10^-24 g. The mass of a neutron is about the same as a proton. The nucleus of an atom of carbon has 6 protons and 6 neutrons. The mass of the nucleus is about 2 x 10^-26 units. Circle the best choice for the units this measurement is given in: g/kg/tons​

Answers

The density of proton exists [tex]1.7*10^{-24}/2 * 10^{-26}cm^3[/tex].

How to estimate the density of proton?

Given:

[tex]$r = 2 * 10^{-26[/tex] units.

[tex]mass = 1.7 * 10^{-24[/tex] grams

Formula, V [tex]= 4/3 * \pi * r^3[/tex]

Density = mass / Velocity

Put the givens into the formula.

Find the value for [tex]r^3[/tex]

[tex]V = (4/3) 3.14 * (1 * 10^{-13})^3[/tex]

To estimate the volume indicate divide by 3  

[tex]V = (4/3) 3.14 * 1 * 10^{-39[/tex]

[tex]V = 1.256 10^{-38/3[/tex]

[tex]V = 4.1867 * 10^{-39[/tex]

Density = mass / velocity

Density = [tex]1.7*10^{-24}/2 * 10^{-26}cm^3[/tex].

Therefore, the density of proton exists [tex]1.7*10^{-24}/2 * 10^{-26}cm^3[/tex].

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write a sequence with these terms
a​​​​)are multiple of 10​
b)all even numbers
c)are multiple of 10
d) include 60​​​​​and 70
e)end with 80​​

Answers

Answer:

a) 10, 20, 30, ...
b) 2, 4, 6, ...
c) 10, 20, 30, ...
d) 61, 66, 71, 76, ...
e) 180, 280, 380, ...

i dont know if this is correct but hope it helps

Geometry question need help finding the answers to this

Answers

Answer:

L' (-1, 1)

M' (1, 2)

N' (1, -1)

A: Identify the function type in the graph, and then describe a relationship that could be modeled by the function represented by the graph.

B: Identify and interpret the key features of the function in the context of the situation you described in part A.

Answers

The function type in the graph is a decreasing function.

What is a function?

It should be noted that a function is simply used to illustrate the relationship between variables.

In this case, the function type in the graph is a decreasing function. As the number in X axis increases, the value in the y axis is decreased.

This illustrates a decreasing function.

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On a coordinate plane, a curved line with minimum values of (negative 2, 0) and (1.05, negative 41), and a maximum value of (negative 0.5, 5), crosses the x-axis at (negative 2, 0), (0, 0), and (1.5, 0), and crosses the y-axis at (0, 0).
Which statement is true about the end behavior of the graphed function?

As the x-values go to positive infinity, the function’s values go to positive infinity.
As the x-values go to zero, the function’s values go to positive infinity.
As the x-values go to negative infinity, the function’s values are equal to zero.
As the x-values go to negative infinity, the function’s values go to negative infinity.

Answers

The statement which is true about the end behaviour of the graphed function is; As the x-values go to positive infinity, the function’s values go to positive infinity.

Which statement is true about the end behaviour of the graphed function?

The graph given according to the task content is described to have its first minimum at (-2,0), and then a maximum at; (-0.5, 5) and finally a minimum at; (1.05, -41).

Additionally, since the graph has 3 zeroes as given, it follows that the graph is that of a cubic function which takes the w-form.

Consequently, it can be inferred from the statements above that; As the x-values go to positive infinity, the function’s values go to positive infinity.

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Answer:

A

Step-by-step explanation:

edge 23

Given: ΔABC is a right triangle and CD ⊥ AB.
Prove: AC2 + BC2 = AB2
Which reason completes the proof?

A.
Corresponding sides of similar triangles are proportional.
B.
Corresponding parts of congruent triangles are congruent.
C.
Corresponding parts of similar triangles are congruent.
D.
Corresponding sides of congruent triangles are proportional.

Answers

C

Proves ac2+ bc2 = ab2

Answer:

Corresponding parts of similar triangles are congruent.

Step-by-step explanation:

Help ASAP will give 20 points!!!!!
use six unit multipliers to convert 33 cubic feet to cubic centimeters

Answers

Converting 33 cubic feet to cubic centimeters would give 934454. 4 cubic centimeters

How to determine the conversion

It is important to note that conversion of units requires the appropriate equivalent values

For

I cubic foot is equivalent to 28316. 8 cubic centimeters

But we were given

33 cubic feet for the conversion

If 1 cubic foot = 28316. 8 cubic centimeters

Then 33 cubic feet = x

Cross multiply, we get

x = 28316. 8 × 33

x = 934454. 4 cubic centimeters

Thus, converting 33 cubic feet to cubic centimeters would give 934454. 4 cubic centimeters

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Desiree opens an account with one deposit of $6500. she receives a statement twice a year, just after the interest is applied. which type of account is desiree most likely using?

Answers

From Longman Dictionary of Contemporary English opens an account to start an account at a bank or other financial organization by putting money into it Mary was in the bank to ask about opening a current account.

Step 1: Visit the official website of the bank in which you wish to open an account. Step 2: Fill in the application form online along with a digital copy of address proof, identity proof, age proof, income/employment proof, and photographs.

You need to be at least 18 years old to open an account. However, you can open a joint account as a minor with a parent or legal guardian as an account co-owner. Some banks do offer accounts tailored for minors.

Please check the attached file for a complete answer.

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A jar is filled with 50 different colored marbles, 8 of which are red, 20 of which are blue, and 22 of which are green. a player is asked to draw a single marble from the jar and if they draw a red marble they will win $20, if they draw a blue marble they will lose $10, and if they draw a green marble they will lose $5. round your answer to the nearest cent.

Answers

The expected value of drawing a  marble from the jar is -$0.8.

Given that jar is filled with 50 coloured marbles out of which 8 are red , 20 are blue and 22 are green and we have to find the expected value that a player will get by drawing one marble from the jar if the prize of drawing red marble is $20 and loss of $10 if blue marble is drawn.

Probability that a red marble is drawn from jar=8/50

Probability that a blue marble is drawn from jar=20/50

Probability that a green marble is drawn from jar=22/50

Value that player can expect by drawing a red marble from jar=

=P(X=red)*20-P(X=blue)*10+P(X=green)*0

=8/50*20-20/50*10+0

=16/5-20/5

=-4/5

=-0.8

It is negative ,means that player will not get any money. In fact player will lose $0.8.

Hence the expected value that player can expect is -$0.8.

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Question is incomplete as it should include that calculate the expected value of drawing a marble.

if you start at the number -27 on the number line and move 5 integers to the right what is the absolute value of the number that you're at

Answers

The absolute value of the number upon the given evaluation is; 22.

What is the absolute value of the number arrived at?

It follows from the task content that the number given is; -27 on the number line and subsequently, there's a movement of 5 integers to the right.

On this note, the absolute value of the result upon the evaluation is; |-27+5| = |-22| = 22.

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In the figure shown, line AB is parallel to line CD. Part A: What is the measure of angle x? Show your work. (5 points)

Part B: Explain how you found the measure of angle x by identifying the angle relationships that you used along the transversal. (5 points) A 65⁰ P 120⁰ R B O​

Answers

a) ∠PQR=65° (alternate interior angles theorem)

∠PRQ = 60° (linear pair)

x = 55° (angles in a triangle add to 180°)

b) ∠APQ and ∠PQR are congruent alternate interior angles.

PLEASE HELP FAST!

The question is below:

Answers

The transformation that produces same image are:

Translate 3 units right and 5 units down. Then rotate 90 degrees about the origin.Translate 2 units up and 4 units left. Translate 6 units down and 4 units right

The transformation that produces different image are:

Rotate 90 degrees about the origin. Then Dilate using a scale factor of 1/2Dilate using a scale factor of 5. Translate 4 units left and 2 units up

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

Translation, reflection and rotation are rigid transformation which produces same image while dilation produces similar shapes.

The transformation that produces same image are:

Translate 3 units right and 5 units down. Then rotate 90 degrees about the origin.Translate 2 units up and 4 units left. Translate 6 units down and 4 units right

The transformation that produces different image are:

Rotate 90 degrees about the origin. Then Dilate using a scale factor of 1/2Dilate using a scale factor of 5. Translate 4 units left and 2 units up

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Sample Response: First, I wrote each ratio as a fraction. Then I found a common denominator of 20. The fraction 4/10 is 8/20. Comparing numerators, 8 is less than 12, so the ratio 4:10 is smaller. Which did you include in your answer? Check all that apply. Write the ratios as fractions. Find a common denominator. Compare the numerators to see that 4:10 is the smaller ratio

Answers

In the case above, the option that one need to include in your answer is to Find a common denominator.

What is Fraction in lowest terms?

When the numerator and denominator of a fraction are known to not have common factor other than 1, then a person can say that the fraction in its simple form or say its in its lowest term.

Since there is a common numerator and the common denominator will be between 10 and 20. Since 10 is less that than 20, the common denominator will be 20 as both can divide it.

Hence, In the case above, the option that one need to include in your answer is to Find a common denominator.

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8) Find m/A.
Need the answer asap please some1 respond

Answers

The measure of angle A in the isosceles trapezoid is:  106°.

What are the Angles in an Isosceles Trapezoids?

In an isosceles trapezoid, the base angles are equal while the opposite angles are supplementary or have a sum of 180°.

The diagram given is an isosceles trapezoid. Therefor we would have:

m∠A = 180 - 74 [supplementary angles]

m∠A = 106°

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I need help please! This is urgent!

Answers

Answer:

first 35 out of 100 then second person 34 out of 99

Step-by-step explanation:

Volume =
Help me please thanks

Answers

Step-by-step explanation:

Volume of the right circular cone=31πr2h=31×π×6×6×10=120πcm3

Answer:

Volume =  405π unit^3

which is

1272.35 unit^3 to nearest hundredth.

Step-by-step explanation:

Volume of the given cone

= 1/3 πr^2 h

= 1/3π(6)^2*10

=  120π unit^3.

The cone similar to it with radius 9 will have a volume equal to

(9/6)^3 times the given cone

= 120π * 729/216

= 405π unit^3.

5. Jigsel has 6 more years of teaching experience than Wangmo, and the two of themhave 16 years of teaching experience altogether. How many years of teaching experience does Wangmo have?​

Answers

Answer:

10 just find the difference between the two

Step-by-step explanation:

16-6=10

Wangmo have 6 years of teaching experience.

What is an equation?

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Let Wangmo has x years of experience.

Jigsel has 6 more years of teaching experience than Wangmo.

So, Jigsel has x + 6 years of experience.

According to the question,

the two of them have 16 years of teaching experience altogether.

That means,

we have the equation,

(x+6) + x = 16

2x = 16 -6

2x = 10

x = 10/2

x = 5

Therefore, Wangmo has 6 years of experience.

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The soccer team at your school wants to spray paint a design on the middle of the
playing field. The design will include this soccer ball. You have been asked to enlarge the drawing of this ball to use for the painting on the field. Write a brief essay in which you explain how to accurately enlarge or reduce the size of objects
such as the soccer ball. Include the steps that should be taken in order to complete a project like this.
Include scale factor, proportions, dilations, and similarity.

Answers

Gdassduhhrjjdhdudjdhhdjdjdjsj I’m bout a dead man just got hit by the fire pit I’m bout a man I’m going to get

PLEASE HELP AND EXPLAIN!!!

Answers

Initially, as x increases, y decreases.

The slope of the graph is equal to 1 for all x between x=0 and x=3.

Starting at x=3, the function value y increases as x increases.

The slope of the graph is equal to 3 for x between x=3 and x=5.

For x between x=0 and x=4, the function value y decreases then increases to 0.

For x between x=4 and x=8, the function value y increases and decreases to 0.

From the graph, initially the it goes down when x increases up-to the x value 3. After that from x value 3 to 5, the graphs goes up. After that from the x value 5 it goes down to zero.

Slope of the line:

The slope of the line is the measurement of inclination of that line from the positive x-axis. It can be calculated by the following formula.

[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

The slope of the graph between x=0 to x=3

[tex]Slope=\frac{-3-0}{3-0}=-1[/tex]

The slope of the graph between x=3 to x=5

[tex]Slope=\frac{3-(-3)}{5-3}=3[/tex]

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