whats the solution to the equations

Based on given polynomial, The complete equation is = x² - 6x - 3.

A polynomial can be multiplied in just three steps.

The first step is to multiply each term in one polynomial by each term in the other polynomial using the distributive law.

Use the exponent rule to sum powers of related variables.

Then, to simplify the resulting polynomial, add or eliminate like elements.

The fact that multiplying two polynomials always yields a degree higher than the degree of the original polynomials should not be overlooked.

If a variable has the same exponent but various exponents for the provided polynomials, we must use the exponent law.

Given,

                a______________

x²       (b) __         -6x³             (c)__

9x      9x³              (d)___        -27x

We know that (a) is some polynomial in the form Ax² + Bx + c

Based on the above table,

It is clear that

on multiplying x² ×  1 term = (b)

x² × 2 term = -6x³

⇒ 2 term = -6x³ / x² = -6x                             (1)

x² × 3 term = (c)

Now,

9x × 1 term = 9x³

⇒ 1 term = x²                                                  (2)

9x × -6x = (d)

⇒ d = -54x²                                                     (3)

9x × 3 term =  -27x

3 term = -3                                                      (4)

From (1), (2) and (4),

The complete equation is = x² - 6x - 3

Value of (b) =  x² ×  1 term = (b)= x² × x² = x⁴

Value of (c) = x² × 3 term = (c) = x² ₓ -3 = -3x²

Value of (d) =  -54x²    [From (3)]

So the complete table is -

                (a) x² - 6x - 3

x²       (b) -6x         -6x³           (c) -3

9x      9x³           (d) -54x²     -27x

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Answer: To rewrite the given expressions as equivalent rational expressions with the denominator (5a+2)(a−4)(a+2), we need to factor the denominators of the given expressions and cancel out any common factors between the numerator and denominator.

2/5a^2-18a-8

We can factor the denominator: 5a^2-18a-8 = (5a+8)(a-1)

Now we can cancel out the common factor of (a-1) from the numerator and denominator

2/(5a+8)

8a/5a^2+12a+4

We can factor the denominator: 5a^2+12a+4 = (5a+4)(a+1)

Now we can cancel out the common factor of (a+1) from the numerator and denominator

8a/(5a+4)

Now we can multiply the numerators and denominators of both expressions with (5a+2)(a−4)(a+2)

(2*(5a+2)(a−4)(a+2)) / (5a+8)(a-1)(5a+2)(a−4)(a+2) = 2(a−4)(a+2) / (5a+8)(a-1)

(8a*(5a+2)(a−4)(a+2)) / (5a^2+12a+4)(5a+2)(a−4)(a+2) = 8a(5a+2) / (5

Step-by-step explanation:

Here we are interested in finding the slope of the line. From the given graph we can see that that the line passes through points (-5,0) and (0,-3) . We know that slope can be calculated by ,

[tex]\longrightarrow slope \ (m)=\dfrac{y_2-y_1}{x_2-x_1} =\tan\theta [/tex]

hence here ,

[tex]\longrightarrow m =\dfrac{y_2-y_1}{x_2-x_1}\\[/tex]

[tex]\longrightarrow m =\dfrac{0-(-3)}{-5-0}\\[/tex]

[tex]\longrightarrow m =\dfrac{3}{-5}\\ [/tex]

[tex]\longrightarrow m =\dfrac{-3}{5}\\ [/tex]

[tex]\longrightarrow \underline{\underline{ m = -0.6}}[/tex]

And we are done!

Answer: B = 50 - 0.06x

Step-by-step explanation:

This equation shows that the remaining balance on the gift card (B) is equal to the initial amount of the gift card (50) minus the cost of the prints (0.06x) where x is the number of prints purchased.

Answer: 1/15

Step-by-step explanation: 3*5=15

The total amount of interest due on the account is $8.36.

What is the simple interest?

Simple interest is a method of calculating the interest on a loan or deposit. It is calculated as the principal amount multiplied by the interest rate, multiplied by the number of time periods (usually in years).

To calculate the interest due on the account, we first need to determine the number of days for which the interest will accrue. Since the payment was made on the 9th day and the charge was made on the 28th day, the interest will accrue for 28 - 9 = 19 days.

We then use the formula for simple interest: Interest = Principal x Rate x Time

In this case, the Principal is the beginning balance of $660, the Rate is the APR of 26% (which must be converted to a decimal by dividing by 100), and the Time is the number of days for which the interest will accrue (19 days).

So the Interest = $660 x 0.26 x (19/365) = $8.36

Therefore, the total amount of interest due on the account is $8.36.

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By applying Trigonometry functions it can be concluded that cos θ = -√2/2 will be met if θ = 135° or 225° (option D)

Trigonometry is a branch of mathematics that studies the relationship between side lengths and angles of triangles.

Trigonometry functions can be defined by means of a right triangle, where ABC is a right triangle, a and b are the sides of the triangle and c is the hypotenuse of the triangle.

sin A = opposite side (a) / hypotenuse (c)

cos B = adjacent side (b) / hypotenuse (c)

tan C = opposite side (a) / adjacent side (b)

There are some special angles whose sin, cos, and tan values are frequently used:

          0°     30°       45°       60°     90°    

sin      0      1/2      √2/2     √3/2      1

cos     1     √3/2    √2/2       1/2       0

tan      0    √3/3        1          √3       ~

These values change over the interval:

We have to find all values in the interval [0,360°) that have the given function value cos θ = -√2/2.

cos θ = √2/2

      θ = 45°

Since cos will have a negative value in the interval [90°,270°], then we get the value of θ is 135° and 225°.

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Answer:

10, 8

Step-by-step explanation:

Let x be the number of salads and y be the number of burgers.

We know that:

x + y = 28 (the total number of people)

8x + 4y = 152 (the total cost in dollars)

We can use the first equation to solve for one variable in terms of the other.

x = 28 - y

Now we can substitute this expression into the second equation:

8(28 - y) + 4y = 152

224 - 8y + 4y = 152

224 = 12y

y = 18 (burgers)

We can then use this value to find the number of salads

x = 28 - y = 28 - 18 = 10 (salads)

So the manager bought 10 salads and 18 burgers

We frequently have no idea of their distance from us when we observe things in the night sky. For instance, although having the appearance of being inside a sphere with a very big radius that surrounds the Earth, the stars are actually all located at vastly different distances from our Solar System.

The angle that an object makes (subtends) as observed by an observer is its angular diameter. This is illustrated in the image below, where an observer at A (who is closer to the object) perceives the object's angular diameter as being larger than an observer at B. The terms "angular diameter" and "distance between two objects, measured on the celestial sphere" are interchangeable.

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If several students wonder which is a better buy a 40 pack of pencil top The option that is the best is option 2 because it is cheaper.

Option 1

40 pack of pencil top erasers  =  2.82/ 40

40 pack of pencil top erasers = 0.07

40 pack of pencil top erasers = 7 cent cost of each pack

Option 2 :

2 pack of pencil top erasers =0.12/ 2  

2 pack of pencil top erasers = 0.06        

2 pack of pencil top erasers = 6ent  a pack

Based on the above calculation  the second option is better than the first option based on the fact that you tend to get pencils cheaper per pack.

Therefore option 2 is better.

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The sum of interior angles of the given 22 sided convex polygon is; 3600°

When it comes to finding the sum of the interior angles of a a convex polygon that has n sides, we can say that its interior angle sum is given by the following equation:

S = ( n − 2) × 180°.

where;

n is the number of sides of the convex polygon

Thus, for a 22 sided convex polygon;

S = (22 - 2) × 180°

S = 20 × 180°

S = 3600°

That represents the sum of interior angles of the given polygon.

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Hey there!

We are given the expression [tex]n + 23[/tex].

Hence, 23 is the constant.

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Interval 1: 10 a.m. to 12 p.m., Frequency: 6, Interval 2: 12 p.m. to 14 p.m., Frequency: 8, Interval 3: 14 p.m. to 16 p.m., Frequency 5, Interval 4: 16 p.m. to 18 p.m., Frequency 2, and Interval 5: 18 p.m. to 20 p.m., Frequency 1.

The first lower limit of the sample frequency distribution for the provided data is fixed at $10.00, with an interval width of $2.00. The frequency of Interval 1 is 6, and it runs from 10:00 to 12:00. The frequency of Interval 2 is 8, and it lasts from 12:00 to 14:00. With a frequency of 5, interval 3 runs from 14:00 to 16:00. The frequency of interval 4 is 2, and it lasts from 16:00 to 18:00. With a frequency of 1, interval 5 runs from 18.00 to 20.00. The data range and frequency of each value are shown in this table, giving a comprehensive picture of the data. You can use this table to determine suitable pricing strategies for the product.

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The solution to  x^2 – 10x = 24 is 12 or -2. The solution is obtained by solving the algebraic equation.

What is algebraic equation?

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression (addition, subtraction, etc.). For the algebraic equation, the expression must contain an equals to sign.

We are given equation as x^2 - 10x = 24

This can be re-written as x^2 - 10x - 24 = 0

In order to find the solution, we need to solve the equation for x.

So,

⇒x^2 - 10x - 24 = 0

⇒x^2 - 12x + 2x - 24 = 0

⇒x (x - 12) + 2 (x - 12) = 0

⇒(x - 12) (x + 2) = 0

⇒x = 12 , -2

Hence, the solution to x^2 – 10x = 24 is 12 or -2.

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Since there are multiple question, so the question answered above is

The solution to x2 – 10x = 24 is

✔ 12 or –2

The figures cone Z and cylinder Y have the same volume.

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic metre (m3), a derived unit, is the SI unit of volume. Volume is another word for capacity.

Given, Prism M and pyramid N have the same base area and the same height. Cylinder P and prism Q have the same height and the same base perimeter. Cone Z has the same base area as cylinder Y, but its height is three times the height of cylinder Y.

The formula for volume of the cone Z is given by

Volume = 1/3* pi * radius *radius *height

The formula for volume of the cylinder Y is given by

Volume =  pi * radius *radius *height

Since, it is given that Cone Z has the same base area as cylinder Y, but its height is three times the height of cylinder Y.

Thus, substituting  in the formula of volume of the cone Z, we get,

Volume = 1/3* pi * radius *radius *3*height

Simplifying, we have,

Volume =  pi * radius *radius *height

Hence, the volume of the cone Z = volume of the cylinder Y

Thus, the figures cone Z and cylinder Y have the same volume.

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The volume of a tank can be calculated by multiplying its length, width, and height.

Therefore, the expression to calculate the total amount of water a tank can hold in gallons can be represented by V = lwh, where V is the volume, l is the length, w is the width, and h is the height of the tank.

To find out how many -gallon buckets of water it takes to fill the tank, we can divide the total amount of water the tank can hold by the size of each bucket. This can be represented by the expression: n = V/g, where n is the number of buckets, V is the total amount of water the tank can hold, and g is the size of each bucket.

For example, if the tank is 8 feet long, 4 feet wide, and 2 feet tall and each bucket holds 1 gallon of water, the total amount of water the tank can hold is V = (8)(4)(2) = 64 gallons. Thus, the volume of a tank buckets of water needed to fill the tank would be n = 64/1 = 64 buckets.

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Complete question : Raul has a tank with a capacity of 200 gallons and wants to use buckets that hold 5 gallons each. How many buckets does he need to fill the tank?

Answer:

It is not possible to determine the average movie ticket price in each of these countries with the given information. The statement "Average movie prices in the United States are in general lower than in other countries" is not relevant to determine the average movie ticket price in Japan and Switzerland. The information provided is the cost of 3 tickets in Japan and 2 tickets in Switzerland, and also the cost of 3 tickets in Switzerland and 2 tickets in Japan. This information cannot be used to determine the average movie ticket price in each country as it is not clear how many people are going to the movies and the different prices of the movies. More information is needed.

Answer:

97.4

Step-by-step explanation:

According to the given information in the question the volume of the cylinder is approximately 1232.5 cm³.

A three-dimensional object's volume is the area it takes up, and it is expressed in cubic units. Cm3 and in3 are examples of cubic units.On the other hand, an item's mass can be used to calculate how much matter it contains. The weight of an object is a common way to determine mass (in units like pounds or kilograms).

The most popular units of volume in the decimal system of measurement are ml. and liters.

V = * r² * h is the formula for a cylinder's volume.

V = π * (8.8 cm)² * 4.7 cm

V = π * 77.44 cm² * 4.7 cm

V ≈ 1232.5 cm³

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7 × 10000 + 5 × 1000 + 2 × 100 + 3 × 10 + 2 × 1

A fraction of the rectangle is shaded = 1/4

Consider following diagram.

The rectangle below consists of 8 unit squares.

To find: fraction of the rectangle is shaded

We know that the fraction is used to represent the portion or part of the whole thing.

The fraction has two parts: numerator and denominator.

The top part of fraction is numerator and the bottom part is denominator.

consider a fraction 1/8.

Here, numerator is 1, denominator is 8

When certain thing is divided into 8 equal parts then each part of is represented by fraction1/8

Here, a rectangle consists of 8 unit squares. Out of 8 unit squares, 2 squares are shaded.

So, the fraction would be 2/8

We simplify above fraction 2/8 = 1/4

So, 1/4 of the rectangle is shaded.

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Answer: The current ratio is a measure of a company's ability to meet its short-term obligations, it is calculated by dividing the current assets by current liabilities. If Hill Sports paid $10 million of its accounts payable on June 30, 2019, it would have reduced its current liabilities by $10 million.

To find out the current ratio after the payment, we need to know the current assets and current liabilities as of June 30, 2019.

If we assume that the current assets were $40 million and the current liabilities were $20 million as of June 30, 2019,

The current ratio = current assets / current liabilities = 40/20 = 2

After the company paid $10 million of its accounts payable, the current liabilities would be reduced by $10 million to $10 million.

So the new current ratio would be:

current assets / current liabilities = 40/10 = 4

So, Hill Sports' current ratio would have been 4 on June 30, 2019, if the company were to have paid $10 million of its accounts payable.

Step-by-step explanation:

The current ratio of a company, a liquidity ratio, would increase if a company pays part of its accounts payable thus reducing its current liabilities. However, the exact current ratio cannot be determined without specific financial figures for Hill Sports' current assets and liabilities.

The current ratio of a company is a liquidity ratio that measures a company's ability to pay short-term obligations or those due within one year. It is calculated by dividing a company's Current Assets by its Current Liabilities. Accounts payable is generally counted as a current liability.

So, if Hill Sports was to pay $10 million of its accounts payable, this would decrease its current liabilities by $10 million. Assuming the current assets remains the same, this would result in an increase in the current ratio because the denominator (current liabilities) is decreasing.

Without specific numbers for Hill Sports' current assets and liabilities, we cannot calculate the exact current ratio. However, the change in the ratio can be estimated if the original figures are known.

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Correct conclusion , Proportion of viewers is not less than 0.20.

What is proportion ?

A proportion is a way to express the relationship between two or more quantities or values. It is a statement that asserts that two ratios or fractions are equal, such as "2/5 is equal to 4/10". Proportions can be written in different ways, such as "2 to 5 is equal to 4 to 10", or "2:5 = 4:10".

the proportion of viewers who watch the particular show is less than 0.20. The p-value of 0.47 is greater than the level of significance of 0.05, meaning that the results of the test are not statistically significant and do not provide enough evidence to reject the null hypothesis that the proportion of viewers who watch the particular show is greater than or equal to 0.20. Therefore, the marketing agency cannot conclude that the proportion of viewers who watch the particular show is less than 0.20.

Correct conclusion , Proportion of viewers is not less than 0.20.

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The perimeter of the plane figure which is a quadrilateral with four straight sides is equal to 16 inches.

To know the perimeter of a plane figure, we add up all the length of its sides or boundaries together. That is the sum total of the length of a plane figure is called its perimeter.

The plene figure has for sides who two of it is 5 inches each and the other two is 3 inches each.

thus we calculate for the perimeter as follows:

perimeter of the plane figure = 5 in + 5 in + 3 in + 3 in

perimeter of the plane figure = 16 inches

Therefore, the perimeter of the plane figure which is a quadrilateral with four straight sides is equal to 16 inches.

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Answer:

chnbntyehjejejdbhdhehgeuru382863yrh

At the locations where the acceleration graph veers off, the particle changes course. It accelerates at positive slope acceleration graph intervals and decelerates during negative slope acceleration graph intervals.

At the locations where the acceleration graph veers off, the particle changes course. At these locations, the particle's acceleration is zero and the slope of the graph flip-flops from positive to negative. The particle changes direction at this point. The particle either speeds up or slows down in the intervals before and after the point of inflection. The particle is speeding up during the intervals where the acceleration graph has a positive slope, and slowing down during the intervals where the acceleration graph has a negative slope. We can determine how the particle is changing direction and whether it is speeding up or slowing down by examining the slope of the acceleration graph.

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A linear function is a function that represents a straight line on the coordinate plane. So the pairs 3x-y=4 and 6x-2y=8 make each system of linear equations with the correct number of solutions.

What is meant by linear?

3x - y = 4                                      6x-2y = 8

3x=4+y                                          6x = 8 + 2y

3x/3 = 4/3 + y/3                             6x/6 = 8/6 + 2y/6

x = 4 + y/3                                    x = 4 + y/3

-3+y=7                                            -2x-4y = -8

y = 7 + 3                                           -2x = -8 +4y

y = 10                                               -2x/-2 = -8/-2 + 4/-2

                                                        x = -2(y-2)

y=-4x-5                                                     y=-4x+1

Axis interception points of -4x-5:           Axis interception pointsof -4x+1:

X Intercepts (-5/4,0),                               X Intercepts (1/4,0),

Y Intercepts (0,-5).                                  Y Intercepts (0,1).

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Answer: To convert a temperature from degrees Celsius (°C) to degrees Fahrenheit (°F), you can use the following formula:

°F = (9/5) x °C + 32

So, to convert 280°C to °F:

°F = (9/5) x 280 + 32 = 536 + 32 = 568°F

So the equivalent of 280°C in °F is 568°F

Step-by-step explanation:

The circumference of the walkway is 26 x + 16 when two words are added together.

A walkway around a rectangular garden.

The garden's size is 4(4.5 x + 1.5) square meters.

The garden's and the walkway's combined area is 5.5(8 x + 4)

We must locate the location of the walkway.

By deducting the size of the pathway from the area of the

from the combined area, a rectangle

Simplify it to provide the combined area as 5.5(8 x + 4)

The total area is equal to 5.5(8 x) Plus 5.5. (4)

∴Area added together: 44 x + 22

Simplify: The garden's area is 4(4.5 x + 1.5).

The garden's size is equal to 4(4.5 x) Plus 4. (1.5)

The garden's size is equal to 18 x + 6.

Subtract the garden's area from the total area now.

The walkway's area is equal to (44 x + 22) minus (18 x + 6)

Area of the walkway is equal to 44x + 22 - 18 x - 6

- Add similar phrases.

The walkway's size is equal to (44 x - 18 x) +. (22 - 6)

Walkway area equals 26 x plus 16

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Answer: all of the above

Step-by-step explanation:

Answer: square,Rectangle,Rhombus and trapezoid

Step-by-step explanation:

they all have pairs of parallel sides

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