The parent graph for a linear function and an absolute value function are shown below. Compare and contrast the two functions. Please include information about the characteristics of each graph, including, but not limited to domain/range, shape of the graph, etc.

The dimensions of the fence that will maximize the area are-

Multiply the width by the height of a rectangle to find its area. If we know the lengths of two sides of a rectangle, we can calculate the height and width.

Now, as per the question;

Let 'L'  be the length and,

'W' width of the rectangular

Also, let the river is running along L.

Perimeter to be covered by fence:

P = L + 2W

2700 = L + 2W

Thus, L= 2700 - 2W

Substitute the value of L in the area

Area, A= LW

A = (2700 - 2W)W

A = 2700W - 2W²

This is a quadratic equation;

Now, the vertex of the rectangular with the greatest area will have the greatest width.

(W,A), where W= -b/2a where b = 2700 and a = -2

Solve for W,

W = -2700/2×(-2)

   = -2700/-4

W = 675 ft.

Substitute the value of W in L to find it.

L= 2700 - 2W

 = 2700 - 2×675

L = 1350 ft

Thus, the maximum area will become;

Maximum area A = 1350 × 675

Maximum area A = 911250 sq. ft

Therefore, the maximum area is found to be 911250 sq. ft

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The complete question is-

A farmer has 2700 feet of fencing available to enclose a rectangular area bordering a river. if no fencing is required along the​ river, find the dimensions of the fence that will maximize the area. what is the maximum​ area

Answer:

$64,286.51

Step-by-step explanation:

This is the arithmetic mean, and is calculated by adding a group of numbers and then dividing by the count of those numbers. In this case, you have the total number of employees and the total salary.

39,086,197.48 ÷ 608 = 64286.5090132

You would then round up.

Answer:

Step-by-step explanation:

69420 hello my name is 69420

D

S

Ed

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Answer:

60

Step-by-step explanation:

rid of precentage and zeros, multiply the numbers you have left.

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

4 %

Step-by-step explanation:

Answer:

Firstly, you need to divide by 36! That'll tells you how many yards there are. Then, divide the remainder by 12! That'll tells you how many feet are there. The final remainder tells you the number of inches!

Answer: u

Step-by-step explanation: go over 1 up 4

Answer:

a , b , e , f

Step-by-step explanation:

Answer:

41.666 =~41.67

Step-by-step explanation:

3a=125

a=125÷3

a=41.67

Answer:

41.667

Step-by-step explanation:

3a=125

a= 125/3

a=41.667

Hi!

Let's solve the equation for x!

[tex]\mid\bold{x-1\mid+5=2}[/tex]

Step 1:

[tex]\bold{\mid x-1\mid=-3}[/tex]

Now it's a little easier to solve! :')

Now, What does | | mean ?

Remember, It means "absolute value", and it's Always a positive number.

And this statement states: "take the absolute value of x-1, Whatever that happens to be, And it'll equal -3".

But that's impossible!

Therefore, this equation has no solutions.

I hope I helped you, have a wonderful day!

- stargazing [tex]\tiny\pmb{0.2}[/tex]

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{|x - 1| + 5 = 2}[/tex]

[tex]\large\text{Add }\rm{-5}\large\text{ to both sides: }[/tex]

[tex]\mathsf{|x - 1| + 5 - 5 = 2 - 5}[/tex]

[tex]\large\text{Simplify it:}[/tex]

[tex]\mathsf{|x - 1| = 2 - 5}[/tex]

[tex]\mathsf{|x - 1| = -3}[/tex]

[tex]\large\text{Since, the absolute value is SMALLER than 0, we have no solutions}[/tex]

[tex]\huge\boxed{\text{Answer: }\mathsf{No\ solutions}}[/tex][tex]\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

The inequality which can be used to determine the number of gigabytes is 41.5 + 5x < 50 and the solution is  x < 1.7

The given parameters are

Flat cost = $41.50

Rate = $5 per gigabyte

Budget = Under $50

The equation is represented as:

Total cost = Flat cost + Rate * Number of gigabyte

So, we have

y = 41.5 + 5x

The budget is under 50

So, we have

41.5 + 5x < 50

Subtract 41.5 from both sides

5x < 8.5

Divide by 5

x < 1.7

Hence. the inequality which can be used to determine the number of gigabytes is 41.5 + 5x < 50 and the solution is  x < 1.7

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Answer:

Diagonals linse

Step-by-step explanation:

The company's profit in the year 2003 is $3.1 million

Profit is defined as the amount of revenue generated after deduction of all the liabilities.

Given that in the year 2000 profit = $2.2 million

Each year increase in profit = 13% =0.13

Total number of year = 2003-2000=3 years

Profit is denoted by

[tex]profit=initial profit(1+each.year.increase)^{years}[/tex]

Substituting the values we get

profit=[tex]2.2(1+0.13)^3[/tex]

=[tex]2.2(1.13)^3=2.2*1.442897[/tex]

=3.174373

=3.1 million

Therefor , the company's profit in the year 2003 is $3.1 million

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The answer to this question is:

Size of a square's side = 11 cm

A Square is a flat geometric shape with four right angles and equal sides. The square's four sides are equal to one another or congruent. The square's opposing sides run parallel to one another. The square's diagonals form a 90° angle with one another. The two diagonals of the square are equivalent to one another. The square is made up of four vertices and four sides.

Area of square = ( Side )²

Given that:

Area of square = ( Side )² = 121 cm²

Dimensions of a square's side = √ Area

so, the length of the square's side = √ 121

                                          = √ 11*11

                                          = √ ( 11 )²  

                                          = 11

Thus, side of the square = 11 cm

Therefore, side length of square = 11cm

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Answer:

750 students are boys, 250 are girls.

Step-by-step explanation:

1/4 of 1000 is 250.

250 + 250 + 250 = 750 boys.

if 3/4 are boys, then 1/4 (the rest of the school population) are girls.

150 students are girls.

Using Trigonometric ratios, we can conclude the length of the indicated side is 12.70m.

It can be solved using Trigonometric ratios and Pythagoras theorem

Firstly using Trigonometric ratios

Using Sinθ,

Sinθ = perpendicular / hypotenuse(h)

Sin 39 = 8 / h

0.63 = 8 / h

h = 8 / 0.63

h = 12.70

∴ The length of indicated side is 12.70m

Secondly, using Pythagoras theorem,

(hypotenuse)² = (Altitude)² + (Base)²

⇒ (H)² = 8² + 10²

⇒ (H)² = 64 + 100

⇒ (H)² = 164

⇒ H = √164

⇒ H = 12.80

∴ The length of indicated side is 12.80m

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The cube of 2.4 is 13.824

A cube can be described as when a number is multiplied three times. This means a product of the same number three times

From the question we are asked to calculate the cube of 2.4

(2.4)³

= 2.4 × 2.4 × 2.4

= 13.824

Hence the cube of 2.4 is 13.824

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The value of the s for the school crossing sign is (s = 18).

The total distance round the shape is described as its perimeter.

The perimeter of school crossing board is 120 inches.

2s + s + s + ( s + 6 ) + ( s + 6 ) = 120 (perimeter)

6s + 12 = 120

6s = 120 – 12

6s = 108

s = 108/6

s = 18 units

Therefore, for the school crossing sign, the value of s is found as (s = 18) inches.

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The correct question is-

Write and solve an equation to answer the question. The perimeter of the school crossing sing is 120 inches. What is the value of s?

False,  there is not enough information provided to Prove that both the triangles are congruent.

Triangles have three sides and three angles, as we discovered in pre-algebra. We also discovered that a triangle's total angle is 180 degrees.

Congruent triangles are two triangles that are the same size and shape. Two congruent triangles remain congruent even if we flip, turn, or rotate one of them.

Two triangles must have the same angles and, as a result, must be congruent if their sides are the same. If two triangles are congruent or not, we may determine this simply by looking at their sides.

These two triangles are also equivalent if we know that two sides of one triangle and the angle between them are congruent to two sides and the angle between them of another triangle.

If we know that two angles and the side between them in one triangle are congruent with two angles and the side between them in another triangle, then these two triangles are probably congruent.

When two angles and a non-included side in one triangle are congruent to the corresponding angles and side of another triangle, we are left with the final scenario that results in congruent triangles.

The given data doesn't satisfy any of the conditions.

Hence, there is not enough information provided to Prove that the two triangles are congruent.

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Answer:

tru but u gotta put a picture next time man

Step-by-step explanation:

The below mentioned are the factors of given equations

Factorization:

In mathematics, factorization or factoring is the method of expressing a quantity or another numerical component as a product of many factors, typically small or easier components of the same kind.

In the case of integers, ancient Greek mathematicians were the first to consider factorization. They demonstrated the fundamental theorem of arithmetic, which states that any positive integer can be taken account into a prime number product , which cannot be factored into integers greater than 1. Furthermore, this factorization is unique until the order of the factors is changed.

1)[tex]9a^{2}-18a=9a(a-2)[/tex]

2)[tex]16a^{3}b^{3} +32ab=16ab((ab)^{2} +2)[/tex]

3) inappropriate question

4)[tex]3x^{5} +4x^{4} -5x^{2} =x^{2} (3x^{3} +4x^{2} -5)[/tex]

5)[tex]2x^{3} -x=2(x-1)(x+1)[/tex]

Therefore,The above mentioned are the factors of the given questions.

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Regarding the quadrants, we have that:

Leila is correct, as most y-coordinates are also negative, meaning that most points are in quadrant 3.

There are four quadrants of points (x,y), and their signals are given as follows:

For this problem, we have that Leila is correct, as most y-coordinates are also negative, meaning that most points are in quadrant 3.

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True ,A 'variable' is defined as when a characteristic of interest differs in kind or degree among various observations.

How do nominal and ordinal differ?

What in statistics is a ratio variable?

Multiplicity of ratio variables (statistics) a variable with interval characteristics as well as meaningful ratios between any two of its values, which makes multiplication and division operations comprehensible.

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The function with the largest slope would be f(x) = 1.5

What is the slope in math?

For f(x), choose any two points say (-3,-10) and (-1,-7) where

x1 = -3 ; y1 = -10 ; x2 = -1 ; y2 = -7

Find the slope (m)

m=(y2 - y1) / (x2 - x1) = (-7 - -10)/ (-1 - -3) = 3/2 or 1.5

slope of f(x) = 1.5

g(x) = 1/2 x  + 3

standard formula: y = mx + b where m is the slope.

slope of g(x) = 1/2 or 0.5

Since lance gains 1 level every time he plays,

slope = 1/1 = 1 so, slope of h(x) = 1

the function with the largest slope would be f(x) = 1.5

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Answer:

The answers are below

Step-by-step explanation:

The greater sign is > and the less then symbol is <

Using the red arrows on the number line, you can tell which one is bigger or less. The dot is colored in so it has to have a line under it. So for the first one (top, left), The red arrow is pointing to the right side meaning x is bigger than 3. Therefore x ≥ 3.

In the next one (top, right) the arrow is pointing to the negative side so that one must be less than 3. The dot is also colored in meaning it is: x ≤ 3

In the next one (bottom, left) the arrow is pointing to the right, the dot not colored in, so it has no line. Therefore it is  x > 3

Last one (bottom right) the arrow is pointing left, dot is white meaning that the answer is x < 3

If you're wondering what the open dots and closed dots mean:

An open dot is used to show that the ray's endpoint is not a component of the solution when the inequality is "strict" ( < or >).

A closed dot is used to denote that the endpoint is a component of the solution for the other types of inequalities (≥ and ≤ ).

Answer:

24

Step-by-step explanation:

18/3 = 6

6*4 = 24

hi

18 = 6*3

so  18* 4/3 =  6*3*4 /3 =   24