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

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.

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.

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

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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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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The statements which summarize each student's conjecture are:

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:

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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:

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

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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The system is:

y < x

y ≥  2

So we conclude that the correct option is D.

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:

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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Answer:

L' (-1, 1)

M' (1, 2)

N' (1, -1)

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

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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Answer:

Corresponding parts of similar triangles are congruent.

Step-by-step explanation:

The transformation that produces same image are:

The transformation that produces different image are:

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:

The transformation that produces different image are:

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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.

Answer:

sorry ❣️ bro you halp me

Answer:

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

Step-by-step explanation:

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

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.

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

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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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.

The function type in the graph is a decreasing 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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Answer:

10 just find the difference between the two

Step-by-step explanation:

16-6=10

Wangmo have 6 years of teaching experience.

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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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.

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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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

Answer:

4 square feet

Step-by-step explanation:

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

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

A. 20 + 2t + 2c

D. 20 + t + t + c + c

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:

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

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.

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

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

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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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 :

Applying the Law of Sines :

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

Substituting the known values :