In which quadrant does Ø lie if the following statement is true:

The product of the polynomials is [tex]15x^4 - 8x^3 - 6x^2 - 22x - 15.[/tex]

Polynomial is an equation written with terms of the form kx^n.

where k and n are positive integers.

There are quadratic polynomials and cubic polynomials.

Example:

2x³ + 4x² + 4x + 9 is a cubic polynomial.

4x² + 7x + 8 is a quadratic polynomial.

We have,

To find the product of the polynomials (3x² - 2x - 3) (5x² + 4x + 5), we can use the distributive property of multiplication to multiply each term in the first polynomial by each term in the second polynomial, and then combine like terms.

We can start by multiplying the first term in the first polynomial, 3x^2, by each term in the second polynomial:

3x² (5x² + 4x + 5)

= [tex]15x^4 + 12x^3 + 15x^2[/tex]

Next, we multiply the second term in the first polynomial, -2x, by each term in the second polynomial:

-2x(5x² + 4x + 5) = -10x³ - 8x² - 10x

Finally, we multiply the third term in the first polynomial, -3, by each term in the second polynomial:

-3(5x² + 4x + 5) = -15x² - 12x - 15

Putting these three results together, we have:

(3x² - 2x - 3) (5x² + 4x + 5)

= [tex]15x^4 + 2x^3 - 3x^2 + 12x^2 - 10x^3 - 10x - 15x^2 - 12x - 15[/tex]

Simplifying and collecting like terms, we get:

(3x² - 2x - 3)(5x² + 4x + 5)

[tex]15x^4 - 8x^3 - 6x^2 - 22x - 15[/tex]

Therefore,

The product of the polynomials is [tex]15x^4 - 8x^3 - 6x^2 - 22x - 15.[/tex]

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Answer:

34.86 unit²

Step-by-step explanation:

[tex]A_{triangle}[/tex] = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex] , where s = [tex]\frac{P}{2}[/tex] ; P = a + b + c

[tex]A_{hexagon}[/tex] = 6 × [tex]A_{triangle}[/tex]

[tex]A_{circle}[/tex] = [tex]\pi r^2[/tex]

[tex]\pi[/tex] ≈ [tex]\frac{22}{7}[/tex]

~~~~~~~~~~~~~~~~~~~

Answer:

B

Step-by-step explanation:

Just do the cheetah's speed divided by the horse's speed:

65/50

and thats your answer

Answer: Area = pie multiplied by radius multiplied by radius (pie × square of radius)

Step-by-step explanation: If you are given diameter, radius will be half of the diameter.

Simply multiply 3.14 by radius squared

Reflexive property of congruence

Here AC is common side

AC is congruent to itself

Answer:

a square angle

Step-by-step explanation:

because its a square agnle me barin is right :>

Answer:

1. Police station & mall

2. City hall & market

3. Church & park

4. Hospital & school

5. Park & city hall

6. Church & market

7. Police station & hospital

8. School & mall

9. City hall & mall

10. Church & hospital

See the image below for an illustration of each angle type.

Hope this helps!

The given circle has its center at (−3,3) and has a radius of 5 units. Then, the shortest distance D between the point and the circle is given by.

Answer: perimeter = sum of all side lengths

Step-by-step explanation:

To measure the amount of tape needed to section off a crime scene.

Hope This Helped!

Answer:

a=14/50 or 28%/0.28

b = the complement would be everything but b

c=36/50

they are reciprocals they are opposites

Step-by-step explanation:

Step-by-step explanation:

Divide both sides by cosine to get:

[tex] - 4tan(x) = 5[/tex]

Divide both sides by -4 to get:

[tex]tan(x) = - \frac{5}{4} [/tex]

Take the arctangent of both sides to get:

[tex]x = arctan( - \frac{5}{4} )[/tex]

Plus any integer rotation of pi (180 degrees)

Answer:

Angle a=92, angle c=88, angle b=100, angle d=80

Step-by-step explanation:

Step-by-step explanation:

x² x<1

—x²+4x—1 1≤x≤3

x—3 x>3

feel free to leave a comment if still something's confusing.

Answer:

13 Quarters, 22 Dimes

Step-by-step explanation:

.10d + .25q = 5.45

.10 (35 - q) + .25q = 5.45

3.5 - 10q + .25q = 5.45

.25q - .10q = 5.45 - 3.5

.15q = 1.95

q = 13

Plug the value of q to solve for d, or the number of dimes.

d = 35 - q

d = 35 - 13

d = 22

Answer:

a

Step-by-step explanation:

Answer:

1 and a half hours < 100 mins

Step-by-step explanation:

1 and a half hours is equal to :

1 hour = 60 mins

half hour = 30 mins

60 + 30 = 90 mins

90 min is less than 100 mins

Therefore / ∴ :

1 and a half hours < 100 mins

Answer:

Area = 84.1

OR Exact A = 392 - 98pi

Step-by-step explanation:

Calculate the area of the rectangle and subtract the area of the two circles. See image.

Answer:

201.06 in^3

Step-by-step explanation:

Volume of cylinder =  pi r^2 h

                                 = pi (2)^2 * 16  in^3           ( r = d/2 = 4/2 = 2)  

The equation of the line of best fit is an illustration of a linear function

The teenager would spend $9 on food if he or she is at the mall for three hours.

The equation of the line of best fit is given as:

y = 2x + 3

When the teenager spends 3 hours in the mall, it means that:

x = 3

So, we have:

y = 2 * 3 + 3

Evaluate the product

y = 6 + 3

Evaluate the sum

y = 9

Hence, the teenager would spend $9 on food if he or she is at the mall for three hours.

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Answer:

d. 19

Step-by-step explanation:

n.o of tables = 9

total n.o of chairs = 171

if there is equal n.o chairs in each table then,

171/9

=19

Answer: for sure the answer is increased rapidly

Step-by-step explanation:

The population of the city increased rapidly for the first four months and then slowly approached 7000 people.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

WE have given the  graph shows the population of a city n months after the establishment of a new automobile plant in the city.

We can see that at 4000 people, the graph increases and then become constant at the rate of 7000 people.

So we can conclude that the population of the city increases rapidly for the first four months and then slowly approached 7000 people.

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Answer:

35 strips :)

Step-by-step explanation:

1 foot; 12 inches

Now lets solve!!

12 x 9 = 108

Now we must divide :)

108/15 = 7

Since she has 5 rolls, we need to multiply 1 more time :)

7 x 5 = 35

Have an amazing day!!

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Answer:

35

Step-by-step explanation:

1 foot = 12 inches

so (multiply both by 9)

9 feet = 108 inches

108 divided by 15 = 7.2

the .2 part can't be used, so each roll can make 7 pieces of ribbon

Theres 5 rolls of ribbon so multiply 7 by 5 which is 35

Answer:

34a^2 + 21a - 20

Step-by-step explanation:

(12a^2 + 6a -8) - (-22a + 12 - 15a)

12a^2 + 6a - 8 + 22a + 12 - 15a

34^2 + 6a - 8 - 12 + 15a

34^2 + 21a - 20

Answer:

Vertical angles! Hope this helped!<3

Answer:

Vertical Angles

Step-by-step explanation:

Adjacent Angles are adjacent to each other and share the same side.

Complementary Angles add up to 90°

Vertical Angles are similar angles on opposite sides of each other

Reflex Angles are angles that are over 180°

Therefore Vertical Angles is the answer