Find the three consecutive integers such that the smallest and three times the largest is 330. What is the smallest integer?

The function that is represented by the graph is defined as follows:

A. f(x) = (x - 1)(x + 2)(x + 4).

The function represented by the graph is obtained using the Factor Theorem, as we can identify the roots of the function from the graph.

The Factor Theorem states that the function can be declared according to it's linear factors, as follows:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In which:

From the graph given in this problem, the roots of the polynomial are listed as follows:

-4, -2 and 1.

Hence the function can be defined as follows:

f(x) = (x - 1)(x + 2)(x + 4).

Considering a leading coefficient of 1, option A is correct.

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Answer: 14200%

Step-by-step explanation:

To convert 142 to percent multiply 142 by 100. The result is 14200 percent, or, using the percent sign, 14200 %.

Put simply, to change 142 to % move the ″.″ two places to the right.

Check out the next plus one section on how to express 142 as a percent. And, in case you have a number different from 142, then use our decimal to percent calculator above.

If our calculator has been of help to you make sure to bookmark it now. Besides 142 into percent, it can convert any decimal to percent and vice versa.

What is 142 as a Percent?

You already know the answer to what is 142 as a percent. Ninety-one as a percent is 14200%.

If you have been looking for 142 as %, 142 in %, 142 in percentage or what is 142 as a percentage then you have also found what you have been looking for.

Note that you can find many decimal to percent conversions, including 142 in percentage, by using the search form in the sidebar.

Enter, for instance, 142 to percents.

BTW: Similar conversions include, for example:

147 as a percent

148 as a percent

149 as a percent

Next we explain how do you write 142 as a percent.

Write 142 as a Percent

To write 142 as a percent multiply 142 by 100 to obtain 14200. Then append the percent sign (%). To learn about the spacing check out the reference section of decimal to percent.

In a table and in texts with space restrictions you write 14200%, whereas in a running text, like this one, you write it spelled out as 14200 percent in American English, and 14200 per cent else.

Particularly in the UK, the abbreviations pc, pct., and pct are also used sometimes, e.g. 14200pc.

These days, the old forms 14200 per centum and per cent followed by a period, 14200 per cent., are hardly seen anymore and can be considered obsolete in daily life.

There is no difference in meaning between the two-word per cent and percent. Choosing between 14200 per cent and 14200 percent is merely a matter of preference.

142 as a Percentage

142 as a percentage of certain number x can be calculated by dividing 142 by x, and multiplying the result by 100. For example, 142 as a percentage of 10 = (142 / 10) x 100% = 1420%.

Feel free to use our decimals to percents calculator below. Enter 142 in the number field, then insert your value in the field labelled “% of”.

To start over, press reset first.

At this stage the 142 in percent conversion will be conducted automatically. Observe that the result is rounded to ten decimal places.

[tex]142/100[/tex] can be written as [tex]142[/tex][tex]%[/tex]%.

The Latin word "per centum," which means "by the hundred," was the source of the English word "percentage." Fractions with a denominator [tex]100[/tex] are called percentages.

A percentage is a certain number or part of every hundred. It is a fraction with a denominator [tex]100[/tex], and the symbol for it is "%."

Finding the percentage of a whole in terms of [tex]100[/tex] is what percentage calculation refers to.

There is no dimension to percentages. As a result, it is known as a dimensionless number.

A fraction or a decimal can also be used to represent a percentage.

Therefore, the answer is [tex]142[/tex]%.

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The correct question is :

How do you write 142/100 as a percentage?

3 × 10² miles can you drive, if your car gets 25.00 miles per gallon and you have 12.00 gallons of gas.

Distance is the sum of an object's movements, regardless of direction. Distance may be defined as the amount of space an item has covered, regardless of its beginning or finishing position.

Given that,

car gets 25.00 miles per gallon.

In 1 gallon car covers 25 miles distance.

In 12 gallon the car will cover = 25 × 12 miles distance

                                                = 300 miles distance.

Thus, distance covered in 12 gallons = 300 miles.

                                                             = 3 × 10² miles.

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1. The cost 7 Books is $10. 85

2. He can lay 336 bricks

3. n= 1

4.   n= 1

5.   n= 18

6. n= 5

7.n= 3

8.  n=6

9. n= 6

10. n= 2

11.n= 12

12. n= 66

13. n= 10

14. n= 5

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

for example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

1. The cost 7 Books is =  7.75/ 5 x 7

                                    = $10. 85

2. He can lay = 144/3 x 7

                      = 336 bricks

3. 4/24 = n/6

6 x4 = 24n

n= 1

4. 30/5 = 6/ n

 30 n = 30

 n= 1

5. n/6 = 27/ 9

  9n = 162

  n= 18

6. 50/ 70= n/7

n= 5

7. 14/7 = 6/n

2n= 6

n= 3

8. n/15= 2/5

 n=6

9. 4/10 = n/ 15

n= 6

10. 4/200 = n/ 100

n= 2

11. 6/n= 5/10

n= 12

12. 32/22 = 96/ n

n= 66

13. 6/3 = n/5

n= 10

14. 2/n = 4/ 10

n= 5

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The price is $14 for each novel and $25 for each Cookbooks when a bookstore made $167 on the sale of 3 new novels and 5 copies of a new cookbook.

Given that,

A bookstore made $167 on the sale of 3 new novels and 5 copies of a new cookbook. Three cookbook copies and one copy of the brand-new book were sold the next day, bringing in $89 for the company.

We have to find what the cost of each book was.

We know that,

A bookstore took in$ 167 on the sale of 5 copies of a new cookbook and 3 copies of a new novel.

The next day it took in $ 89 on the sale of 3 copies of the cookbook and 1 copy of the novel.

An algebraic expression-based system of equations is a collection of relationships between several unknown variables.

Now,

Let x= cookbook and y= novel.

So,

On first day, 5x + 3y = 167----->equation(1)

On second day, 3x + 1y = 89----->equation(2)

These equations must be solved in order to determine the cost of each book.

From equation(2), we get;

y = 89 - 3x

Now we use this x solution to solve our first equation.

We get;

5x + 3(89-3x) = 167

5x + 267 - 9x = 167

267-167 = 9x - 5x

100 = 4x

x = 25

So, The price is $25 for the each Cookbooks.

Now, By substituting $25 for x in the second equation, we must get the value of y.

y=89-3(25)

y=89-75

y=14

So, The price is $14 dollars for each novel.

So,

Therefore, The price is $14 for each novel and $25 for each Cookbooks when a bookstore made $167 on the sale of 3 new novels and 5 copies of a new cookbook.

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Answer:

[tex]1 \, \dfrac{3}{8}[/tex]

Explanation:

It's 1/8 less than 1 1/2.

[tex]1 \, \dfrac{1}{2} - \dfrac{1}{8} = 1 \, \dfrac{4}{8} - \dfrac{1}{8} = 1 \, \dfrac{3}{8}[/tex]

calculator is going to be the most accurate

Answer: x = -9 , y = -13

Step-by-step explanation:

Multiply the second equation by 5, then add the equations together.

(−5x+3y=6)

5(x−y=4)

Becomes:

−5x+3y=6

5x−5y=20

Add these equations to eliminate x:

−2y=26

Then solve −2y=26 for y:

−2y = 26

Divide both sides by -2

y= -13

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

−5x+3y=6

Substitute−13 for y in −5x+3y=6:

−5x+(3)(−13)=6

−5x−39=6 (Simplify both sides of the equation)

−5x−39+39=6+39 (Add 39 to both sides)

−5x=45

Divide both sides by -5

x = -9

hope it help

you can proof it in the first equation if you want

The distance between the two parallel lines with the equations y = 7 and

y = -1 is 8 units

What is the distance of a line between 2 points?

The distance of a line between 2 points is always positive and given by the formula

Let the first point be A ( x₁ , y₁ ) and the second point be B ( x₂ , y₂ )

The distance between A and B is D , and the distance D is

[tex]Distance D = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2} }[/tex]

Given data ,

Let the equation of line be y = 7 and y = -1

Now , the slope of both the lines is 0

Slope m = 0

And the y intercept of the equation 1 or line 1 is = 7

So , the point is ( 0 , 7 )

And the y intercept of the equation 2 or line 2 is = -1

So, the point is ( 0 , -1 )

Now , the distance between the points ( 0 , 7 ) and ( 0 , -1 )  is given by the equation ,

[tex]Distance D = \sqrt{(x_{2}-x_{1})^{2} + (y_{2}-y_{1})^{2} }[/tex]

Substituting the values in the equation , we get

Distance D = √ ( 7 - ( - 1 ) )²

Distance D = √ ( 8 )²

Distance D = 8 units

Therefore , the value of D is 8 units

Hence , The distance between the two parallel lines with the equations y = 7 and y = -1 is 8 units

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Answer:

Si es un chiste, me reiría. Pero si es un insulto, agradecería que se preocuparan por mí.

Step-by-step explanation:

Answer:

635 kg

Step-by-step explanation:

1 pounds = 0.453592 kg

1400 = 0.453592 x 1400

=635.0288

=635 kg

Answer:

12

Step-by-step explanation:

12 .........

The table that represents the relationship between the number of hours Khalil works and his total earnings is Table A.

The ratio connecting two given values in what is known as a proportional relationship is the constant of proportionality. The constant of proportionality may also be referred to as the constant ratio, constant rate, unit rate, constant of variation, or even the rate of change.

Mathematicians use the constant of proportionality to determine whether a relationship is direct or indirect and what kind of proportionality it is. Equations involving ratios and proportions can be resolved with the aid of the proportionality constant.

It should be noted that the information given relates to a constant of proportionality. In this situation, Khalil earns $106.50 for 6 hours of work.

The amount that will be earned per hour will be:

= Amount earned / Number of hours

= $106.50 / 6

= $17.67

In this case, 7 hours will be:

= $17.67 × 7

= $123.7

The correct option is A.

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Answer:

subtraction property of equality

Step-by-step explanation:

If the number of subscribers increases by 75% each year, then the number of subscribers each year is 175% the number of the previous year.  So we need to multiply by 1.75 each year to get the next years number.

Since 2008 is 23 years after 1985, we'd have to multiply the 1985 number by 1.75 twenty-three times:

     285 (1.75)^23 ≈ 110,845,988

That seems a bit crazy, since Glenwood is a small town, but so is a 75% growth each year for 23 years.

The largest number of cubes that can be placed in the rectangular box is 42

The problem is solved by solving for the volume of the rectangular box and dividing by the given size of cube

The formula for the volume of rectangular box is given by

= length  * width  * height

= 40 * 35 * 30

= 42000 cm³

A cube of length 10 cm has a volume of 1000

= 10 * 10 * 10 = 1000

the largest number of  cubes of length 10 cm that can be placed inside the box.

= 42000 / 1000

= 42

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The zeros of the polynomial function should be between

The zeros of a polynomial function is the  point where the polynomial crosses the x axis

At this point, the y axis has a value of zero. This point can be seen on the graph easily as the graph will show the x intercept,

For the table, examining the values of the y coordinate to see where the signs change will help to know where the zero will lie.

The table shows that the y values changed sign at  1.1 to -0.8 and -0.3 to 0.7 and hence the zeros will lie between (2.5, 1.1) & (3.0 -0.8) and (4.0, -0.3) & (4.5, 0.7)

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Answer:

answer is 124 degree ....

Answer:

The number 3 represents the fixed cost in the equation which is the flat charge.

Line of reflection for the image vertices are A'(5, 1), B'(3, –1), and C'(7, –1) will be x = 2..

What is mean by Reflection?
Reflection is the process of taking the time to think deeply about the experiences, events, and choices that shape our lives. Reflection allows us to consider how our views and opinions have changed over time, and to take stock of our successes and failures. Reflection can also help us understand our personal values and beliefs and how we can use them to make more informed decisions in the future. Reflection involves looking inward and assessing our thoughts and feelings, as well as looking outward and considering our interactions with the world around us. Taking time for reflection can help us gain insight into our behaviors and motivations, as well as identify areas of our lives that need improvement. It can also help us stay mindful of our goals and stay on the path to achieving them. Reflection is an important part of personal growth and development, and can be a valuable tool for gaining self-awareness and increasing our emotional intelligence.

Given that;
After a reflection of the figure,
The image vertices are A'(5, 1), B'(3, –1), and C'(7, –1).
And, In the figure;
The vertices are A(-1, 1), B'(1, –1), and C'(-3, –1).
Now, When we take the reflection about the line x = 2.
Then, we get the image vertices are A'(5, 1), B'(3, –1), and C'(7, –1) of the vertices A(-1, 1), B'(1, –1), and C'(-3, –1).
Therefore, Line of reflection for the image vertices are A'(5, 1), B'(3, –1), and C'(7, –1) will be x = 2.

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Answer: 27

Step-by-step explanation: 46 22 46 49 45 39 40 42 41 39 40 36

The range is calculated by subtracting the lowest value from the highest value.

So the lowest number is 22 and the highest is 49.

Then we subtract 22 from 49 to find the range.

Answer:

4 liters

Step-by-step explanation:

We need to first figure out what the proportional value is.

(Y ×? = X)

10(Y) × 2.5 = 25 (X)

If the capacity of X is equivalent to 10 liters, then we need to use the same proportional value to get the number of liters for Y.

10 ÷ 2.5 = 4

Trough Y can contain 4 liters

The number of child tickets sold is 99.

A system having more than two equations is known as a system of equations.

Given that, the cost of a child ticket and the cost of an adult ticket are $5.60 and $9.50 respectively.

Let the number of child tickets sold and the number of adult tickets sold be s and a, then

s + a = 170

a = 170 - s

The total cost of s child tickets and a adult tickets is:

5.6s + 9.5a = 1228.90

Substitute a= 170 -s into the above equation:

5.6s + 9.5(170 - s) = 1228.90

5.6s + 1615 - 9.5s = 1228.90

3.9s = 386.1

s = 99

Hence, the number of child tickets sold is 99.

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Answer: 1200 percent increase

Step-by-step explanation:

Increase = New Number - Original Number

divide the increase by the original number and times 100

3.25-0.25=3

3/0.25=12*100

1200 percent

Answer:

a

Step-by-step explanation:

ik my math

Answer: (5,6)

Step-by-step explanation: 5 units right is adding 5 to your X. 5 units up is adding 5 to your Y.

For left and down, you'd subtract 5. For instance, "What is the image point of (8,9) after a translation of 5 units left, and 5 units down. The answer would be (3,4)

The probability of losing 10 to 20 suitcase between a week is 0.8313 by the airline company.

Given what we know,

μ = 15. 5 and σ = 3. 6

Additionally, the weekly distribution of missing baggage along a particular route is roughly average.

z =( x - μ ) / σ

Therefore,

z(20) = (20-15.5)/3.6

= 1.25

P(x < 20)

= P(z < 1.25)

= 0.8944

Therefore, the probability that during a given week the airline will lose between 10 and 20 suitcases = 0.8313

The ratio of good outcomes to all possible outcomes of an event is known as the probability.

The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an event can be calculated using the following formula.

Probability(Event) = Positive Results/Total Results

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No, the hypotenuse-leg congruence property cannot be applied, because we don't know if the hypotenuses are congruent.

What is hypotenuse?

The side opposite to the right angle is always the hypotenuse of a right triangle . It is also the longest side in a right triangle.

what is hypotenuse-leg congruence property?

HL (hypotenuse-leg) congruence Property: The hypotenuse-leg congruence property only applies to the right triangles.

According to hypotenuse-leg congruence property, in any two right angle triangles if the length of the hypotenuse of both the triangles are same and the length of one leg of the triangle is the same in both then the triangles are congruent in nature.

In the given case , leg of one triangle is congruent to a leg of the other triangle and also the triangles are right triangles but the hypotenuse-leg congruence property cannot be applied, because we don't know if the hypotenuses are congruent.

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Answer:

132 square inches

Step-by-step explanation:

The surface area of a pyramid is the sum of the areas of all of its faces. Since the base of the pyramid is a square with an edge length of 6 inches, the area of the base is 36 square inches (6 inches x 6 inches).

To find the surface area of the pyramid, you also need to find the area of the lateral faces of the pyramid. The lateral faces of a pyramid are the triangular faces that are not the base. The lateral faces of a pyramid are all congruent, meaning that they are all the same size and shape.

To find the area of a lateral face of the pyramid, you can use the formula for the area of a triangle: A = 1/2bh, where A is the area of the triangle, b is the base of the triangle, and h is the height of the triangle.

In this case, the base of the triangle is 6 inches (the edge length of the base of the pyramid) and the height of the triangle is 8 inches (the slant height of the pyramid). The area of each lateral face of the pyramid is therefore 1/2 x 6 inches x 8 inches = 24 square inches.

Since there are 4 lateral faces on the pyramid, the total area of the lateral faces is 4 x 24 square inches = 96 square inches.

To find the surface area of the pyramid, add the area of the base to the area of the lateral faces: 36 square inches + 96 square inches = 132 square inches. Therefore, the surface area of the pyramid is 132 square inches.