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Answer:  w< -17

Step-by-step explanation:

It depends on the situation being modeled.

Assuming the vertex (8.33,236.67) is on a quadratic curve modeling height of an object in feet after t seconds.

Then t=8.33s is the time when the object reached the maximum height.

The maximum height is the y-value of the vertex, which is 236.67 feet.

In such a case the quadratic curve opens downwards.

The vertex is then the maximum point on this curve.

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Answer:

It means that the maximum of the graph is the total daily profit from the soccer balls, and can be maximized by selling them for 8.33$
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The equivalent fractions here are: 14/18 ,  21/27 , 28/36 , 35/45 , 42/54.

Given, the number 7/9

7/9 = (7/9 × 2/2) = 14/18

7/9 = (7/9 × 3/3) = 21/27

7/9 = (7/9 × 4/4) = 28/36

7/9 = (7/9 × 5/5) = 35/45

7/9 = (7/9 × 6/6) = 42/54

hence the equivalent fractions here are:

14/18 , 21/27 , 28/36 , 35/45 , 42/54

Equivalent fractions are those fractions that reflect the same value even if they may have distinct numerators and denominators. For instance, the fractions 9/12 and 6/8 are comparable as both, when simplified, equal 3/4.

When reduced to their most basic form, all equivalent fractions become the same fraction.

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A rational expression that would produce the given number line is f(x) = 1 /[(x + 4) · (x - 1) · (x - 3)].

Rational equations are equations of the form P(x) / Q(x), where P(x) and Q(x) are polynomials representing the numerator and the denominator of the expression. In this problem we assume a rational equation where P(x) = 1 and Q(x) is polynomial in factored form, where each root represents an indetermination. Then, we derive the following rational expression that observes the sign behavior on the number line:

f(x) = 1 /[(x + 4) · (x - 1) · (x - 3)]

This expression guarantees the sign behavior:

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Answer:

x≤−9/2 or x>7/4

Step-by-step explanation:

The height (h) of this rectangular prism is equal to 3 units.

Pythagorean theorem can be defined as a mathematical expression in Euclidean geometry that can be used to solve for any of the three (3) side lengths of a right triangle.

In order to determine the height (h) of this rectangular prism, we would first of all determine the diagonal of the base by applying Pythagorean theorem:

d² = l² + b²

d² = 4² + 3²

d² = 16 + 9

d² = 25

d = √25

d = 5 units.

Therefore, the diagonal of the base of this rectangular prism is equal to 5 units.

Now, we can determine the height (h) of this rectangular prism:

x² = d² + h²

h² = √34² - 5²

h² = 34 - 25

h² = 9

h = √9

Height, h = 3 units.

Therefore, the height (h) of this rectangular prism is equal to 3 units.

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From the graphed function, it is found that:

From this graph, it is found that:

Hence:

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A customer should buy minimum 16 boxes of pavers.

In this question, a customer is ordering brick pavers to cover a rectangular walkway that is 3 feet by 15 feet and a square sitting area that is 6 feet on a side.

First we find the total area that will be covered by  pavers.

Area of rectangle = length × width

Area of rectangle = 15 × 3

Area of rectangle = 45

And the area of square = side²

             area of square =   6²

             area of square =  36

So, the total area would be,

Total area = area of rectangle + area of square

Total area = 45 + 36

Total area = 81

So, the total area is 81 square feet.

one box of pavers covers 5.28 square feet.

So using unitary method,

81 / 5.28

= 15.534

≈ 16 boxes

This means, approximately 16 boxes will require to cover the above area.

Therefore, the customer should buy minimum 16 boxes of pavers.

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Answer:

Step-by-step explanation:

f. 20.5-13.71= 6.79

g. 71.23-36.57-17.89= 16.77

h. 50.147-19.05-7.61= 23.487

i. 92.38-57.25-16.3= 18.83

j. 44.08-17.9-9.06= 17.12

Answer:   [tex]3\sqrt{6}[/tex]

Step-by-step explanation:

[tex]\sqrt{9}[/tex] × [tex]\sqrt{3}[/tex] × [tex]\sqrt{2}[/tex] = [tex]\sqrt{54}[/tex]

                    = [tex]3\sqrt{6}[/tex]

Answer:

T' = (-4, 0)

S' = (-4 , -10)

U' = (3 , 0)

V' = (3, -10)

Step-by-step explanation:

Answer:

Step-by-step explanation: 44.

f(x)=6x-4

x=8

f(8)=6(8)-4

f(8)= 48-4

f(8)=44

1/27 to a decimal is .0370

Given,

1/27

Divide 1 by 27 so we get

.0370

Decimal, Integers or whole numbers are numbers to the left of the decimal point, while decimal numbers are numbers to the right of the decimal point. It is critical to understand place value when comparing decimals, doing operations on decimals, and so on. This is how a decimal number's place value chart appears. Chart of Place Values

In the case of decimals, the place value system for the whole number component is the same as the full number. However, following the decimal point, a new realm of numbers emerges in which we employ decimal fractions.

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Answer:

yes

Step-by-step explanation:

so yea

The measure of the angle that complements m∠W is 17°. Option C

Complementary angles are defined as angles that sum up to 90 degrees.

They are also called angles at right angle.

Example:

If x and y are termed complementary angles, then

x + y = 90°

From the information given, we have that;

m∠W is complementary to another unknown angle x

This is represented as;

x + m∠W = 90°

But m∠W = 73°

Substitute the value into the equation

x + 73° = 90°

collect like terms

x = 90 - 73

x = 17°

Thus, the measure of the angle that complements m∠W is 17°. Option C

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Step-by-step explanation:

18^4 (18 with a smaller 4 on the top right corner)

Answer:

a.)

Step-by-step explanation:

|2x - 2| > 2 (greater than 2)

the dilution set is the set of all x values, for which this inequality is true.

and that means

|2x - 2| has to have greater value than the value 2, which is represented by the constant, horizontal line y = 2.

the y values are aligned with the y-axis, which goes up and down. the higher up, the larger the y value.

so, only the values of |2x - 2| higher than 2 keep the inequality true.

so, a.) is the right answer. it is above the line.

b.) below would mean "< 2".

c.) intersects would mean "= 2".

d.) does not intersect would mean "<> 2".

please consider, the intersection points with the line are NOT included, because we have "> 2".

if we had to include the intersection points, it would have to be ">= 2".

Answer:

more than 6 feet  for 20 feet horizontal

Step-by-step explanation:

Increasing the rise increases the pitch

The following statement that if n is a real  number, then 0n = 0 is always true.

The given question states that we have to determine whether the given statement is always true or sometimes true or never true.

The statement given in this question is that if n is a real number, then 0 n = 0.

To solve this question, it us important that we are familiar with real numbers.

Real numbers comprise of both rational numbers as well as irrational numbers. Rational numbers include natural number, whole numbers, fractions, etc. while irrational numbers consist of recurring decimal numbers such as √3, pi, etc.

We know that any real number multiplied with 0 will always return 0 as the answer.

Hence, we can say that the statement that if n is a real number, then 0 n = 0 is always true.

Therefore, we get the following statement that if n is a real number, then 0n = 0 as always true.

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Answer:

Step-by-step explanation:

h

Answer: Corresponding Angles

Step-by-step explanation:

Answer:

23 times 10 is

230 so your answer is 2 times 10

Answer: The answer is $1.13.

Step-by-step explanation:

There are 12 cups inside a 3-quart container.

A composite function exists as a function that depends on another function. A composite function exists formed when one function exists substituted into another function.

The value of f(g(x)) = (2x-6)/2 and g(f(x)) =  x - 6.

In mathematics, function composition exists as an operation ∘ that takes two functions f and g, and has a function h = g ∘ f such that h(x) = g. In this operation, the function g exists used to the result of applying the function f to x.

Function composition is a mathematical procedure where two functions, f, and g, are taken and a function, h = g ∘ f, is produced such that h(x) = g(f(x)). The function g exists used in this operation on the outcome of applying the function f to x.

Let the given functions be f(x) = x-3/2 and g(x) = 2x - 3

f(g(x)) = f(2x-3)

simplifying the above equation, we get

f(g(x)) = f(2x-3) = ((2x-3) - 3)/2

f(g(x)) = f(2x-3) = (2x-6)/2

f(g(x)) = (2x-6)/2

g(f(x)) =  g(x-3/2)

simplifying the above equation, we get

g(f(x)) =  g(x-3/2) = 2((x-3)/2) - 3

g(f(x)) =  g(x-3/2) = x - 6

g(f(x)) =  x - 6

Therefore, the value of f(g(x)) = (2x-6)/2 and g(f(x)) =  x - 6.

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The correct option is (c) 16 daisies

If the bouquet contains 24 flowers then total 16 daisies are in the bouquet.

In mathematics, polynomial function can be defined as the equation which consist of coefficient, variables and exponents. All the equations such as quadratic equation, cubic equation which has non  negative number as their powers are part of polynomial equation.

Some examples of polynomial equation are :

Now, for the given  question,

let d = number of daisies

     t = number of tulips

according to statement polynomial equation  is,

  d + t = 24    , say equation (i)

Twice as many daisies as tulips:

  d=2t

Put the value of d in equation (i)

  2t + t = 24

  3t = 24

  t = 8

As, number of daisies = 2 (number of tulips)

Therefore, d = 2t = 2 (8) = 16

Thus,  total 16 daisies are in the bouquet.

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Answer:

I think the first

Step-by-step explanation:

Answer:

15/36

Step-by-step explanation:

Multiply the top and bottom factors together, i.e.,

3 x 5

4 x 9

this ends up with the answer 15/36.

Answer:

5/12 = 0.416666667

Factor:

5/2^2.3 = 0.416666667

The difference between a number (n) and eleven is written as;

⇒ 11 - n

The exception statement is;

''a number minus five''

What is Number system?

A system of writing to express the number is called number system.

Now, Let a number is 'n'

Then, The difference between a number (n) and eleven is,

11 - n

And, Find the mathematical expression of all the statement as;

Let x is a number.

1. a number minus five = x - 5

2. five more than a number = x + 5

3. the sum of a number and five = x + 5

4. a number increased by five = x + 5

So, Clearly the exception statement is;

''a number minus five''

Therefore, The difference between a number (n) and eleven is written as;

⇒ 11 - n

The exception statement is;

''a number minus five''

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midpoint of the line segment is (1/2 , -3)

A midpoint of a line segment is the point on a segment that bisects the segment into two congruent segments.

Let (a1, b1) and (a2, b2) be the ending point of the line segment. The midpoint formula of a line segment joining these two points is given as:

(a , b ) = ((a₁ +a₂)/2 , (b₁ +b₂)/2)

Here ,

a₁ =-2

a₂=3

b₁=-1

b₂= -5

(a , b ) = ((-2 +3)/2 , (-1 -5)/2)

(a , b ) = (1/2 , -3)

midpoint of the line segment is (1/2 , -3)

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Answer:

7

Step-by-step explanation:

You have to do the square root of: (5-(-2)) squared pluse (2-2) squared

Now you have the square root of 7 squared

7 squared is 49, so you have the square root of 49

that equals 7

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The function f₁(x) can be either vertical stretch or vertical compress: TRUE

Here are a few examples of logarithmic functions:

So,

Given function:

Then,

Now, Put bˣ=f(x):

We discovered that:

So, depending on the values of b and h, c can be greater than or less than one.

Therefore, the statement "the function f₁(x) can be either vertical stretch or vertical compress" is TRUE.

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