Factor and solve: -3p^2 - p - 2 = 0

Please show step by step and how to factor trinomials when the leading coefficient is a negative number.

Answer:

a) (3a² + 1) - (4 + 2a²) =

3a² + 1 - 4 - 2a² =

a² - 3

b) (5p² - 3) + (2p² - 3p³) =

5p² - 3 + 2p² - 3p³ =

-3p³ + 7p² - 3

c) (5a + 4) - (5a + 3) =

5a + 4 - 5a - 3 = 1

d) (9r³ + 5r² + 11r) + (-2r³ + 9r - 8r²) =

9r³ + 5r² + 11r - 2r³ + 9r - 8r² =

7r³ - 3r² + 20r

so the right answer is -1.

Look at the attached picture⤴

Hope it will help u..

Answer:

-1

Step-by-step explanation:

p-3=-4

The amount of discount is always subtracted by the original price to find the sale price.

The formula is SP=MP-Discount

for eg: If MP is $5000 and discount given is $ 1000 then we have to find SP by using the formula:SP=MP-Discount

So it results to $4000.

Hope it will help u and make u understand...

Answer:

1. Payment History

2. Amount of Debt he or she owes

3. Credit Age/History

4. Credit Inquiries

Step-by-step explanation:

Answer:

all work is pictured and shown

The cost of a ticket for an adult is $12 while for children it is $10.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

Let's assume that cost for adults is A while for children it is C

Now,

2 adults and 4 children spend $64.

2A + 4C = 64

1 adult and 3 children spend $42.

A + 3C = 42

Multiply by 2

2A + 6C = 84

By subtracting equations

6C - 4C = 84 - 64

2C = 20

C = 10

A = 42 - 3(10)

A = 12

Hence "The cost of a ticket for an adult is $12 while for children it is $10".

For more about the equation,

https://brainly.com/question/10413253

#SPJ2

Answer:

y = 3

Step-by-step explanation:

This is a constant function

y = 3

The equation of a line can be predicted easily if two points are given. Thus, the equation of the required line is [tex]\bold{y=4}[/tex].

We need to determine the equation of the line with the help of the given graph.

Now, take two points from the graph. The points are ( 1, 4 ) and ( 2, 4 ).

The if a line passed through the two points say [tex](x_1,y_1)\;\rm{and}\;(x_2,y_2)[/tex], then the equation of the line can be formulated as:

[tex](y-y_1)=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Therefore, apply the formula and solve it further.

[tex]\begin{aligned} (y-4)&=\dfrac{4-4}{3-2}(x-1)\\y-4&=0\\y&=4 \end{aligned}[/tex]

Thus, the equation of the line is [tex]\bold{y=4}[/tex]

To know more about the equation of the line, please refer to the link:

https://brainly.com/question/20632687

Answer:

$0.06 per foot

Step-by-step explanation:

You can solve this by dividing 7 from 0.42.

$0.42 ÷ 7 = $0.06

Step-by-step explanation:

In a square,

we know that when diagonals bisect each other it is divided into two equal parts

so

TR = TP

So

PR = x +11 + x + 11

= 2x + 22

And

Both diagonals are equal so

QS = PR

7x - 3 = 2x + 22

7x - 2x = 22 + 3

5x = 25

x= 25 /5

x = 5

Now

PR = 2 * 5 +22= 10 +22 = 32

Answer:

PR = 34

Step-by-step explanation:

The diagonals of a square bisect each other, and are congruent, thus

QS = PR, that is

7x - 8 = x + 11 + x + 11 = 2x + 22 ( subtract 2x from both sides )

5x - 8 = 22 ( add 8 to both sides )

5x = 30 ( divide both sides by 5 )

x = 6

Thus

PR = 2x + 22 = 2(6) + 22 = 12 + 22 = 34

Answer:

All correct ones:

18in. x 36in. 1yrd.

18in. x 1ft 12in. x 1yrd 3ft

Step-by-step explanation:

The correct expressions to convert 18 inches into yards are:

18 in ⨉ 1yd/36 in. Thus, option a is correct.

Measurement conversion refers to the process of changing a quantity from one unit of measurement to another unit of measurement.

The first expression uses the conversion factor of 1 inch = 1/36  yards

Then, 18 inches = 18 × 1/36 yards  

or,

18 in ⨉ 1yd/36 in

The correct expressions to convert 18 inches into yards are:

18 in ⨉ 1yd/36 in. Thus, option a is correct.

To learn more about Measurement Conversion, Visit

https://brainly.com/question/174910

#SPJ1

Complete question:

Answer:

Step-by-step explanation:

yes it is a geometric sequence

a1=3

r=-3/3=-1

Answer:

True

Step-by-step explanation:

(10 x 2) x 3 = 60

10 x ( 2 x 3) = 60

They are the same. Order doesn't matter for multiplication.

Answer:

True

Step-by-step explanation:

10•2) •3 = 60

&

10•(2•3) = 60

The variables are rearranged, yet without the parentheses the outcome could be faulty.

I hope this was the brainliest answer & helped you better understand!

Answer:

[tex](A) B=\pi (12.1)^2[/tex]

Step-by-step explanation:

Given a cylinder with the following dimensions

Radius of the Cylinder =12.1 cm

Height of the Cylinder =3.8cm

Volume of a cylinder = Base Area X Height

The base area is a circle, therefore the expression that can be used to find the value of B, (in square centimeters), for this cylinder is given as:

[tex]Base Area =\pi r^2\\B=\pi (12.1)^2[/tex]

The correct option is A. (12.1)  expression can be used to find the value of B, in square centimeters, for this cylinder.

To find the value of B, which represents the area of the base of the cylinder, we can use the formula for the volume of a cylinder, V = Bh, where V is the volume, B is the area of the base, and h is the height.

We are given the volume V = 12.1 cm³ and the height h = 8 cm.

We can rearrange the formula to solve for B:

[tex]\[ B = \frac{V}{h} \][/tex]

Substituting the given values:

[tex]\[ B = 1.5125 \text{ cm}^2 \][/tex]

Since the volume and height are both given in centimeters, the unit for B will be in square centimeters.

The expression that can be used to find the value of B is indeed the volume divided by the height, which simplifies to the given volume of 12.1 cm³ divided by the height of 8 cm, resulting in [tex]\( B = \frac{12.1}{8} \) or \( B = 1.5125 \).[/tex]

 Therefore, the expression to find the value of B, in square centimeters, for this cylinder is [tex]\( B = \frac{12.1}{8} \),[/tex] which is option A. (12.1).

Answer

-8/2

Step-by-step explanation:

The required return for the market can be calculated using the Capital Asset Pricing Model (CAPM), which takes into account the risk-free rate, beta value, and market risk premium.

The required return for the market can be calculated using the Capital Asset Pricing Model (CAPM). The CAPM formula is:

Required Return = Risk-Free Rate + Beta * Market Risk Premium

In this case, the risk-free rate is given as 8%, and the market risk premium is given as 2%. To calculate the required return for the market, we need to know the beta value, which represents the stock's sensitivity to market movements.

Once we have the beta value, we can substitute it into the formula to find the required return for the market.

Final answer:

The required return for the market, when the risk-free rate is 8 percent and the market risk premium is 2 percent, is 10 percent according to the Capital Asset Pricing Model.

Explanation:

The student is inquiring about the concept of the required return of the market, which is a fundamental concept in finance related to the Capital Asset Pricing Model (CAPM). According to CAPM, the required return on a market portfolio (the market) is the sum of the risk-free rate and the market risk premium. In this case, with an 8 percent risk-free rate and a 2 percent market risk premium, the required return for the market would be the sum of these two figures, which equals 10 percent.

Answer:

equation d

Step-by-step explanation:

The equation that best describes the relationship between the number of students and the number of tables is N = 40t. This equation can be obtained by observing the given data points and identifying the pattern. It can be verified by substituting the values of the number of students and tables.

The equation that best describes the relationship between the number of students and the number of tables is N = 40t, where 'N' represents the number of students and 't' represents the number of tables. This equation is obtained by observing the given data points and identifying the pattern. For example, when the number of tables is 18, the number of students is 720, which can be represented as 720 = 40 * 18.

To verify this equation, let's check the other given data points. When the number of tables is 15, the number of students is 600, which can be represented as 600 = 40 * 15. Similarly, when the number of tables is 24, the number of students is 960, which can be represented as 960 = 40 * 24. Therefore, the equation N = 40t best represents the relationship between the number of students and the number of tables.

https://brainly.com/question/28974922

#SPJ12

Answer:

The correct net is attached.

Answer:

15.15

Step-by-step explanation:

Answer:

15.15

i worked it out on paper

Answer:

[tex]26\sqrt{3}[/tex]

Step-by-step explanation:

We want to find [tex]4\sqrt{3} +11\sqrt{12}[/tex]. [tex]11\sqrt{12}[/tex] can be written as [tex]11\sqrt{4*3}=11*\sqrt{4} *\sqrt{3}=11*2*\sqrt{3}=22\sqrt{3}[/tex], so we can now write our original equation as: [tex]4\sqrt{3}+22\sqrt{3}[/tex].

We can combine like terms: [tex]4\sqrt{3}+22\sqrt{3}=26\sqrt{3}[/tex]

Hope this helps!

Answer:

17 radical 3

Step-by-step explanation:

4(rad)3+11(rad)12

factor 12 into 13(rad)3

add 11 and 13 now that they have the same radical

keep inside rad of 3 and put 17 on the outside bc 4+13...

Answer:

Step-by-step explanation:

hello :

  Completing The Square   x²-4x-2= (x²-4x+4)-4-2 = (x-2)²-6

the vertex is : (2 , -6)

now calculate the solutions : (x-2)²-6 =0

(x-2)²= 6   means :  x-2 =√6   or   x-2 = -√6

x = 2+√6   or x =  2-√6

Answer:

y=4x

Step-by-step explanation:

First, find the slope

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

We know 2 points, (2,8) and (12,48).

(2,8) can be (x1, y1)

(12,48) can be (x2, y2)

We can say that y2 is 48, y1 is 8, x2 is 12, and x1 is 2. Substitute them in

[tex]m=\frac{48-8}{12-2}[/tex]

[tex]m=\frac{40}{10}[/tex]

m=4

Now, we can use the point slope formula, since we have a point and the slope

[tex]y-y_{1} =m(x-x_{1})[/tex]

We know m, the slope is 4. We also know a point (2,8), which is (x1, y1). Substitute them in

y-8=4(x-2)

Distribute the 4

y-8=4*x-2*4

y-8=4x-8

Add 8 to both sides

y=4x

Answer:

y=4x

Step-by-step explanation:

You are given 3 points that are on this line. (0,0) which is the origin, (2,8) and (12,48)

Find the slope with (2,8) and (12,48)

Remember the slope formula:

(y2-y1) / (x2 - x1)

So:

(48 - 8) / (12 - 2)

40/10 = 4

And the y- intercept is 0 because the line goes through the origin.

So the equation is:

y=4x

Hope this helps!!

Answer: f = 3

Step-by-step explanation:

3(6 - f) - 4 = 3f - 4

(Distribute the 3 on the left side)

18 - 3f - 4 = 3f - 4

(Combine like terms on the left (18 and -4))

14 - 3f = 3f - 4

(add 3f to both sides)

14 = 6f - 4

(Add 4 to both sides)

18 = 6f

(Divide by 6 on both sides)

3 = f

Answer:

(a - b)(5x - 2y)

Step-by-step explanation:

Given

5x(a - b) - 2y(a - b) ← factor out (a - b) from each term

= (a - b)(5x - 2y) ← in factored form

The polynomial 5x(a-b)-2y(a-b) can be factored into (a-b)(5x-2y). This is achieved by taking out the common factor of (a-b) from both terms.

To factor the polynomial

5x(a-b)-2y(a-b)

, you first notice that the terms have a common factor, (a-b). Factoring is a process where you write the expression as a product of its factors. In this case, you can pull out the common factor from both terms. This leaves you with

(a-b)(5x-2y)

. So, the factored form of the given polynomial is (a-b)(5x-2y). By applying the distributive property, you can check your work: (a-b)*5x gives the first term and (a-b)*(-2y) gives the second term, confirming the factored form is correct.

https://brainly.com/question/28315959

#SPJ2

Answer:

x=9b/7

Step-by-step explanation:

b(b/7x=9)

(7x=9b)/7

x=9b/7

Answer:

Step-by-step explanation:

It means there is no solution and the lines are parallel. It is called an inconsistent system.

I hope this helps

The system has no solution. Thus, the lines are parallel to each other.

The system of the equation has no solution. The expression leads to the value that is 0=4, which means you concluded the final result as 0=4.

Do you think practically it is possible, never, it is not possible to equate zero with four, same in the solutions of the system in the lines, this kind of results will not be taken by the intersecting lines.

Hence, the above expression is the condition for "No Solution"

If we try to evaluate the solution of the system that has no solution or an infinite number of solutions, then the variables are canceled out and only the constant values are left that are not equal.

Therefore, The lines are parallel and the system of the equation has no solution.

To know more about it, please refer to the link:

https://brainly.com/question/2648990

Answer:

6s + 2r = 21

Step-by-step explanation:

Please kindly see the attached file for explanaion

The correct equation showing the relationship between s and r is 6s + r = 21

To derive this equation, we consider the total time Diego spends on the competition, which is the sum of the time he spends spinning and the time he spends running.

Since Diego spins around in a circle six times and each spin takes time s, the total time spent spinning is 6s

After spinning, he runs to the tree, which takes time r.

Therefore, the total time from the start of the spinning until Diego reaches the tree is the sum of the time spent spinning and running.

 Given that Diego reaches the tree 21 seconds after he starts spinning, we can set up the following equation to represent this relationship:

6s + r = 21

 This equation states that six times the time spent on each spin plus the time spent running equals 21 seconds.

Solving this equation for either s or r would give us the time spent on each activity, provided we know the total time of 21 seconds.

Answer:

The answer is D What is your overall point, and how do you support it?

Step-by-step explanation:

Answer:

What are the reasons you question the author's professionalism?

Step-by-step explanation:

AP3X