For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y-intercept. Decide which table best illustrates these values for the equation: y = x squared minus 6 x.

The line of the best fit for the data points plotted in the scatter plot is y = 0.67x + 4.05

From the question, we have the following parameters that can be used in our computation:

The graph

Using the line of the best fit, we have"

(x, y) = (0, 4) and (7, 9)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 4

Using the points, we have

9 = 7m + 4

This gives

m = 0.71

So, we have

y = 0.71x + 4

The closest to this is

y = 0.67x + 4.05

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Answer:

Using Words: The total area of the house and deck is given by the sum: 40x20 + x(13x) .

Using Symbols: The total area of the house and deck is given by the sum: 800 + 13x^2 ft².

Step-by-step explanation:

Whale is 1628.87 feet far from the shoreline.

The angle of depression is the angle between the horizontal line and the observation of the object from the horizontal line. It is basically used to get the distance of the two objects where the angles and an object's distance from the ground are known to us.

Given,

Height of the tower = 200 feet

Angle of depression = 7°

Distance of whale from the shore line = x = AB = ?

In the figure

tan 7° = BC/AB = 200/AB

0.1228 = 200/AB

AB = 1628.87 feet = x

Distance of whale from the shoreline = 1628.87 feet.

Hence, Whale and shoreline are 1628.87 feet far from each other.

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Answer: x=7.6

Step-by-step explanation:

x-2.6=5

Step 1: Move 2.6 to another side of the equation with addition

X-2.6+2.6=5+2.6

X=7.6

Check your answer!

7.6-2.6=5 Correct!

Answer:

Step-by-step explanation:

x - 2.6 = 5    

x = 5 + 2.6

x =  7.6

--------------------------

7.6 - 2.6 = 5        

5 = 5

A triangle whose any one of the angles is an obtuse angle or more than 90°, then it is called an obtuse-angled triangle or obtuse triangle.

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The equation does not represent the graph

The equation is given as

f(x) =3x² + 6x - 24

Calculate f(0) and f(1)

f(0) =3(0)² + 6(0) - 24 = -24

f(1) =3(1)² + 6(1) - 24 = -15

On the graph, we have

f(0) = -16

This means that the equation is not the graph

This is when x = 0

So, we hav

f(0) = -16

From the question, we have the following parameters that can be used in our computation:

The graph

The vertex of a graph is the minimum or the maximum of a graph

In this case, it is a minimum and the minimum is located at (-1, -18)

Hence , the vertex is (-1, -18)

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Answer:(b)7m^4

Step-by-step explanation:
56m^8/8m^4
is can be said as

(7m^4 )(8m^4)/8m^4

8m^4 from both numerator and as well as denominator cancels so the final answer is 7m^4(7 m to the power 4)

Recursive  equation :

Thus,

For the given question;

Common ratio or difference : 90% or 0.9.

first term  = $26,500.

Thus, Recursive equation : f(n) = f(n - 1) + 9

Explicit  equation :

Thus,

Explicit equation : f(n) = 26,500 + (n - 1)(0.9).

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Answer:

121

Step-by-step explanation:

3x + 94 + x + 36 + 2x - 4 = 180

6x + 126 = 180

6x = 54

x = 9

m<AOC = 3x + 94

m<AOC = 3(9) + 94

m<AOC = 121

Three-dimensional space is a geometric concept that involves three values, known as coordinates, to determine the position of an object. These three coordinates are known as length, width, and height. It can also be referred to as x, y, and z coordinates.

1. Understand the concept of three-dimensional (3D) space. Three-dimensional space is a geometric concept that involves three values, known as coordinates, to determine the position of an object.

2. Identify the three coordinates. These three coordinates are known as length, width, and height. They can also be referred to as x, y, and z coordinates.

3. Determine the coordinates of a specific point. To find the exact coordinates of a point in 3D space, you must determine the length, width, and height of that point.

4. Use the coordinates to calculate the distance between two points. To calculate the distance between two points in 3D space, you must use the Pythagorean Theorem to determine the length of the hypotenuse.

5. Visualize the 3D space. To better understand 3D space, you can use tools such as 3D modeling software to create a virtual representation of the space.

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A two-step equation is an algebraic issue that can be resolved in two steps.

Two-step equations typically take the form ax b = c, where a, b, and c are real numbers.

For instance, 2 - 3x = 7 is an illustration of a two-step equation.

Use the following steps to solve 2-step equations:

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Answer:

Two step equations are algebraic equations and are the equations that can be solved in exactly two steps and gives the final value of the variable in two steps.

Step-by-step explanation:

Example 1: Solve the two step equation (x/6) - 7 = 11

Solution: To solve the given two step equation, we will follow the steps discussed above in the article.

Step 1: Add 7 to both sides of the given two step equation

(x/6) - 7 + 7 = 11 + 7

= (x/6) = 18

Step 2: Multiply both sides of the equation by 6.

6 × x/6 = 6 × 18

= x = 108

Answer: Hence the solution to the given two step equation (x/6) - 7 = 11 is x = 108.

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The values of x and y that are solutions to the system of simultaneous equations are; y = 573/25 and x = 17.1

We are given the simultaneous equations;

²/₃x + ³/₅y = 12    -----(eq A)

⁵/₂y - 3x = 6       ------(eq B)

Multiply eq A by 9 and eq B by 2 to get;

6x + ²⁷/₅y = 108    -----(eq C)

5y - 6x = 12       ------(eq D)

Add eq C to eq D to get;

5y + ²⁷/₅y = 120

Multiply through by 5 to get;

25y + 27 = 600

25y = 600 - 27

25y = 573

y = 573/25

Thus;

5(573/25) - 6x = 12

6x = 5(573/25) - 12

6x = 102.6

x = 17.1

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The relationship between data items is displayed using tables of values. In science class, you might utilize a table of values. Some  methods are explained.

Tables of values are used by scientists and researchers to record their data, which is then examined for patterns. Then, they can use this pattern to make predictions.

Some steps to prepare the table are-

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The equation that represents circles that have a diameter of 12 units and a center that lies on the y-axis is,

⇒ x²+ (y - 6)² = 36

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Now, We know that;

The standard form for finding the equation of a circle is expressed as;

⇒(x - a)² + (y - b)² = r²

where; (a, b) is the center of the circle and r is the radius of the circle.

Here, we have;

⇒ Diameter = 12 units

⇒ Radius = 12/2 = 6 units

Since, The center lies on the y-axis,

Hence, the center will be at (0, 6).

Substituting into the formula, we will have;

⇒ (x - 0) + (y - 6)² = 6²

⇒ x² + (y - 6)² = 36

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Answer:

Step-by-step explanation:

Karine De Marchand is 54 years

Answer: 10 made the honor roll

Step-by-step explanation:

Answer:

x=10 guests and $250

Step-by-step explanation:

Cater A=15x+100

Cater B=20x+50

2x+50=15x+100

5x=50

x=10

The degree of 2x² 5x² 7 is 4.

The degree of a polynomial is the highest power of the variable in a given polynomial. In this case, the highest power of the variable is 4, making the degree of the polynomial 4.

We can calculate the degree by using the formula Degree = Max (exponent of x).

In this case, the exponent of x is 2 and 5 respectively, making the degree of the polynomial 4.

Therefore, the degree of the polynomial 2x² 5x² 7 is 4.

To calculate this, we can use the following formula:

Degree = Max (exponent of x)

For the given polynomial 2x² 5x² 7, we can calculate the degree as follows:

Max (2, 5) = 5

Therefore, the degree of the polynomial 2x² 5x² 7 is 5.

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f(x) = x⁵ – 8x⁴ + 16x³ at x = 4, does not cross the x-axis. at x = 0, crosses the x-axis. This relates to the x-axis end behavior of a graph of a function.

Let's now find the roots of this function;

f(x) = x⁵ - 8x⁴ + 16x³

Let's factorize it first to get;

f(x) = x³(x² – 8x + 16)(x² – 8x + 16) is a perfect square trinomial and can be expressed as (x – 4)(x - 4).

Thus; f(x) = x³ (x – 4)(x - 4)

C) Since we have found the factorized form to be;

f(x) = x³ (x – 4)(x - 4)

The roots are at f(x) = 0;

The roots are; x³ = 0; (x – 4) = 0 ; (x - 4) = 0

This indicates that x=0 and x=4 are f(xroots. )'s x = 4

As a result, the graph will touch the x-axis but not the repeated root of 4, which indicates that the graph has a repeated root.

D) The graph will cross at x = 0 because it is a root and does not cross at x = 4.

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50%

because a coin only has 2 sides, resulting with a 50/50 chance of either option

Answer:

I think of bills/notes.

Step-by-step explanation:

Money is the mode or medium of exchange for goods and services.

Currency is a type of money that is used as a medium of exchange in a specific country or region. It is a standardized unit of value that is accepted as payment for goods and services within the jurisdiction where it is used. Currency can take the form of physical banknotes and coins, or digital representations of money that can be used for online transactions.

Here,

Money is medium of exchange or a unit of account that is used to purchase goods and services. It is a tangible or intangible asset that represents value and is accepted by individuals, businesses, and governments in exchange for goods or services. Money is a fundamental component of modern economies, and its importance cannot be overstated.

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Answer:

Should be right and scalene

Answer:

see below

Step-by-step explanation:

a. 1+3x = 3x + 1 --> infinite, it's the same thing

b. 4x + 1 = 3x + 2 --> x=1 one solution

c. 5x + 1 = 5x - 2 --> no solution. it's not possible

d. -3(x+1)=-3x+3 --> x=-1, one solution

The given statement "number 3 to exponent 4" in exponential form is be written as 3⁴ , and the value of this expression is 81 .

The Exponential expression represented as "xⁿ" is read as the number x multiplied by itself "n" number of times .

we have to write "3 to exponent of 4" in exponential form ,

So , the exponential form is 3⁴ , it means that the number 3 is multiplied itself four times ;

the value of this expression is calculated as :

⇒ [tex]3^{4} = 3\times 3\times 3\times 3[/tex]

⇒ [tex]9\times 9[/tex]

⇒ 81 .

Therefore , the exponential form of "3 to the exponent of 4 " is 3⁴ .

The given question is incomplete , the complete question is

What is the exponential form of 3 to the exponent 4 ?

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Answer:

$11.90

Step-by-step explanation:

.85(9.86 + 2.15 + 1.99)

.85(14)

11.90

If we take off 15% from 100%, that leaves 85%.  85% as a decimal is .85

Answer:

$11.90 total bill after discount.

Step-by-step explanation:

the original amount is $14.00 with 15% discount it will come down to $11.90. Your discount was $2.10.

There is a linear relationship between exercise intensity and cardiac output. Therefore, when one rises, the other rises as well.

Cardiac output quantifies the volume of blood that your heart can pump in a minute. The phrase "exercise intensity" refers to how hard your body is working throughout a workout. These two are directly related to one another in some way.

The increase in cardiac output is linearly associated with exercise intensity up until the point of exhaustion. This happens as a direct result of the interaction between the heart rate and stroke volume reactions to the intensity of activity. Therefore, cardiac output will increase as exercise intensity does.

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Therefore , the solution of the given problem of inequality comes out to be (x,y) = (1,4).

An inequality in mathematics is a relationship between two concepts or variables that isn't comparable. Therefore, inequality follows imbalance. When two integers are not equal, there is an inequality in mathematics. Egality and inequality are different. When two values aren't genuinely equal, the not equal basic is usually used to indicate this (). The values, whether tiny or huge, are contrasted using a variety of inequalities. By alternating the two characteristics until the constants integers become the only thing left, it is possible to solve many straightforward inequalities. However, a few things promote inequality: Negative values are halved or added to either side.

Here,

Given :

y≤ 3x+1

x-y>1

To find the value of x and y :

y≤ 3x+1

put the value of y

=> x - 3x -1 > 1

=> -2x -1>1

=>-2x > 2

=> -x>1

=>x >-1

x =1

Thus,

y≤ 3(1)+1

=> y ≤  4

Therefore , the solution of the given problem of inequality comes out to be (x,y) = (1,4).

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It is not possible to construct a triangle whose sides are 3 cm 4 cm and 7 cm because the sum of two sides(3 cm and 4 cm) are equal to the third sides(7 cm). The equal sides can not form a triangle.

In the given question, we have to check that it is possible to construct a triangle whose sides are 3 cm 4 cm and 7 cm.

To check whether the given sides can make a triangle or not, we have to check that the sum of two sides always grater than the third side.

To check this we firstly add the 3 and 4

3 + 4 = 7

7 = 7

Now we add 3 and 7

3 + 7 > 4

10 > 4

Now we add 4 and 7

7 + 4 > 3

11 > 3

It is not possible to construct a triangle whose sides are 3 cm 4 cm and 7 cm because the sum of two sides(3 cm and 4 cm) are equal to the third sides(7 cm). The equal sides can not form a triangle.

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The complete question is:

Can you form a triangle using lengths 3cm 4 cm and 7 cm?

Out of 50 people, there are 50C5 = 50!/(5!*45!) ways to select 5 of them.

A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to express probabilities.

How many of those methods involve picking a particular person (you)? If you are selected, there are only 4 more options left out of the remaining 49. There are thus 49C4 = 49!/(5!*44!) ways to select both you and the other 4 individuals.

Therefore, (49C4)/(50C5) = 1/10 is the probability.

The probability that you are one of the five individuals chosen from 50 is 5/50, or 1/10, as a second check.

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