Why do we use the midpoint method?

To represent 2 is greater than 1 in math is presented as 2 > 1.

In math, there is a certain symbol to describe a certain condition of comparison. Here some of them:

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Answer:

Step-by-step explanation:

It is not possible to determine which system of inequalities is shown without a graph or more information about the inequalities. Without a graph, it is not possible to determine the region that is being represented by the system of inequalities. Additionally, without more information about the inequalities, it is not possible to determine which inequality is the upper bound and which is the lower bound. Therefore, the answer is "not enough information."

The solution of the system of inequalities is,

y > x and y > 2

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The graph of inequality is shown.

Now, We get;

The first graph is, y > x

And, The second graph is, y > 2

Thus, The solution of the system of inequalities is,

y > x and y > 2

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A collection of two or more inequalities in one or more variables is known as a system of inequalities.

Two or more inequalities in one or more variables make up a system of inequalities. When a problem calls for a variety of answers and those answers are constrained by multiple factors, systems of inequalities are used.

The intersection region of every solution in the system of inequalities is the system's solution.

Comparable to solving a system of linear equations, solving a system of linear inequalities involves locating the point (or points) of intersection, however this is not the case with inequalities. Instead, the area that fulfils each linear inequality will make up the solution set.

An inequality system's graph shows how the inequalities are resolved.

The system of inequality needs to be fixed by [tex]$y > \frac{2}{3}$ \\ and $x \leq \frac{16}{3}$[/tex]

Following is a description of the inequality system:

[tex]$y > 2 x+4$$x+y \leq 6$[/tex]

The charts for these are in the attached.

[tex]$y > 2 x+4$ and $x+y \leq 6$[/tex]

The graph shows us:

[tex]$y > \frac{2}{3}$$x \leq \frac{16}{3}$[/tex]

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Because the first equation is already solved for y we can substitute 3x−5 for y in the second equation and solve for x:

y=x−3 becomes:

3x−5=x−3

3x−5+5−x=x−3+5−x

3x−x−5+5=x−x−3+5

3x−1x−0=0+2

2x=2

2x/2=2/2

2x/2=1

x=1

Substitute

1 for x in the first equation and calculate y:

y=3x−5 becomes:

y=(3×1)−5

y=3−5

y=−2

The solution is x=1 and y=−2 or (1, -2)

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Answer:

$43

Step-by-step explanation:

each friend:

$165/5 = $33

Maria:

$33 + $10 = $43

Answer: $43

Step-by-step explanation:

First, divide the money amongst the friends.

165/5 = 33

Then add the ten.

33 + 10 = 43

The solution to the implicit differentiation problem is dy/dx = -16x/2y.

To solve this problem, we must use implicit differentiation. This means that we must differentiate both sides of the equation with respect to the independent variable, x. We can do this by taking the derivative of both sides of the equation.

The derivative of 8x^2 is 16x and the derivative of y^2 is 2y dy/dx.

Therefore, the equation becomes: 16x + 2y dy/dx = 0

We can then solve for dy/dx by dividing both sides by 2y, which gives us dy/dx = -16x/2y.

Therefore, the solution to the implicit differentiation problem is dy/dx = -16x/2y.

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The measures of the angle are a = 84°,  b = 84°, c = 96°, d = 58°, e = 38° and f = 142°

Angle geometry is a branch of mathematics that deals with the properties and relationships of angles in geometric figures.

Check the attached image for labeling

d = 180 - 122 = 58°    (sum of angles on a straight line)

c = 96°   (vertically opposite angles are equal)

a = 180 - 96 = 84°    (sum of angles on a straight line)

b = a  (vertically opposite angles are equal)

b = 84°

e = 180 - b -d  (sum of angles in a triangle)

e = 180 - 84 - 58 = 38°

f = 180 - e     (sum of angles on a straight line)

f = 180 - 38 = 142°

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Answer: i think its A

Answer:

Step-by-step explanation:

B)

Since both sides are equal, there are infinitely many solutions.

-Hope this helps!

The value of the expression  is 512x³-9x²

You should be aware that an expression is a mathematical statement that is not an equation but have variables. It is also an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

The given expression is

8x to the third power -9x

This is expressed as follows

(8x)³-9x²

In this expression, every term inside the bracket is raised to the third power

⇒8³ * x³ - 9 *x

= 512*x  - 9x²

= 512x³-9x²

In conclusion, the value of the expression is 512x³-9x²

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Answer:

[tex]I'(-2,-4), J'(-4,4), K'(4,4)[/tex]

Step-by-step explanation:

Assuming the dilation is centered at the origin, it is known that for a dilation of scale factor [tex]k[/tex] centered at the origin, [tex](x,y) \to (kx,ky)[/tex].

Answer:

-4/5

Step-by-step explanation:

Just simply use your knowledge to eliminate the d

In 2006 we have 93.3 people per sq mile .

What is linear equation ?

Linear equation can be defined as equation in which highest degree is one.

In order to determine the equation for this relationship, we need to first find the slope between these two values. There are two ways to do this:

1. Create a graph

*Create a graph with the x-axis representing the years past 2000 (so 2000 would be 0 and 2003 would be 3 and so on)

*Use the fact that slope=rise/run to get slope=2.7/3 (because we rise 87-84.3=2.7 and run 3 (from 2000 to 2003), and 2.7/3=27/30=9/10

*Plug this and the point (0, 84.3) into the formula y=mx+b to find the y-intercept of your equation

--> 84.3=(9/10)(0)+b --> b=84.3

So, your equation can be written now as y=(9/10)x+84.3

[Note: To check, if you plug in 3 you should get 87, and you do, so it works!]

2. Use the slope formula

Alternatively, you could have did slope=(y2-y1)/(x2-x1)=(87-84.3)/(3-0)=2.7/3=9/10

The process here would be the same as above

b) Here, just plug 10 into the equation above (since 10 is the number of years 2010 is after 2000, or 2010-2000=10). Doing this we get:

y=(9/10)(10)+84.3=9+84.3=93.3

So, in 2006 we have 93.3 people per sq mile

Therefore, In 2006 we have 93.3 people per sq mile .

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Answer:

[tex]f(f(2))=184[/tex]

Step-by-step explanation:

[tex]f(x)=2x^2+3x-5\\f(2)=2(2)^2+3(2)-5=2(4)+6-5=8+1=9\\f(f(2))=f(9)=2(9)^2+3(9)-5=2(81)+27-5=162+22=184[/tex]

Compare to last year the population of the Boom town increased by 25%  which is equal to 6000 then population of the last year is 4800.

As given in the question,

Present year population of the Boom town is equal to 6000

Let us consider 'y' be the population of Boom town last year.

Percentage of increase in population = 25%

Equation formed for the given condition is :

y + 25%y = 6000

⇒ y + (25/100)y = 6000

⇒ (100 + 25 / 100 )y = 6000

⇒ y  =  ( 600,000 / 125 )

⇒ y  = 4,800 population of Boom town last.

Therefore, last year population of the Boom town is equal to 4,800.

The above question is incomplete, the complete question is:

Compared to last year, the population of Boom Town has increased by 25%. The population is now 6,000. What was the population last year?

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a) The factored function is given as follows: f(x) = 4(x + 1.25)(x - 3).

b) The x-intercepts are given as follows: x = -1.25 and x = 3.

c) The end behavior is given as follows: Due to the positive leading coefficient, the function increases to left and right.

d) The graph of the function is given by the image presented at the end of the answer.

The quadratic function for this problem is defined as follows:

f(x) = 4x² - 7x - 15.

The coefficients are given as follows:

a = 4, b = -7, c = -15.

Inserting these coefficients into a quadratic function calculator, the roots, which are the x-intercepts, are given as follows:

x = -1.25 and x = 3.

Considering the leading coefficient of 4 and the linear factors of the function, the factored function is given as follows:

f(x) = 4(x + 1.25)(x - 3).

The x-coordinate of the vertex is given as follows:

x = -b/2a = 7/8.

Hence the coordinates of the vertex are:

(7/8, f(7/8)).

Then the graph is made considering:

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In light of this, the scorer circles the S on the scorecard at the end of a set to designate the team that would serve first after a coin flip.

Following are the circles that are drawn at the end of a set on the NCAA women's volleyball scorecard:

who has the first opportunity to serve:

Based on our existing knowledge of how NCAA Women's Volleyball functions, we can see that each period is divided into sets and that there is a scorecard where each team's points are given. In light of this, the scorer circles the S on the scorecard at the end of a set to designate the team that would serve first after a coin flip.

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Answer:

$1.35

Step-by-step explanation:

15% of $9

= [tex]\frac{15}{100}[/tex] × $9

= 0.15 × $9

= $1.35

Taking the subject A and solving the equation, the resultant value of A will be 1,150.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions.

For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

So, we have the equation:

4/5*A=920

Now, calculate the equation taking A as the subject:

4/5 * A = 920

4A  = 920 * 5

4A = 4,600

A = 4,600/4

A = 1,150

Therefore, taking the subject A and solving the equation, the resultant value of A will be 1,150.

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The 2 with an exponent of 1 is represented as 2¹ and the value of 2 with an exponent of 1 is 2 .

When the number "a" is multiplied by itself "n" number of times , then it can be represented in Exponential Form as "aⁿ " , the number "a" is called the base and the number "n" is called the exponent or power .

we have to find the value of 2 with an exponent of 1 ;

So , it is represented as ⇒  2¹ ;

and the value of this exponential expression is ⇒ 2 .

Therefore , the value of 2 with an exponent of 1 is 2 .

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The product of two numbers, x and x + 3 , is 550, then x²+3x = 550: Option C

You should be aware that a quadratic equation is an equation whose highest power of its variable is two. A quadratic equation in the form x can be written as ax²+bx+c = 0 where a, b and c are positive or negative integers

The given expression is

The product of two numbers, x and x + 3 , is 550

this implies x(x+3) = 550

Opening the brackets to get

x²+3x = 550

This in conclusion means that the best option is x²+3x = 550

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A $50,000 car with a 30% ($15,000) residual value is financed over five years. In this case, the loan is repaid in full in five years for $35,000, with the final $15,000 being paid as a balloon payment.

In statistical or machine learning models, the differences between actual and expected data values are referred to as residuals.

They act as a diagnostic instrument for assessing the caliber of a model. They are also known as errors.

The primary column, Inflation, of the table below provides details on US inflation for each month of 2017. Forecasts from a model that seeks to predict the rate of inflation are shown in the Predicted column.

Following are the calculations for the residuals: Residual is equal to predicted inflation.

The Residual column contains them.

The model predicted 1.8% for the data for January 2017, while the actual inflation rate was only 0.5%, leaving a residual of -1.3%.

Hence, A $50,000 car with a 30% ($15,000) residual value is financed over five years. In this case, the loan is repaid in full in five years for $35,000, with the final $15,000 being paid as a balloon payment.

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The probability of being a senior citizen and white is: (0.63)(0.3) = 0.189.

Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can vary from 0 to 1, with 0 being an impossibility and 1 denoting a certainty.

Given that the probability of identifying white is 0.63.

Then the probability of not white is:

1 - 0.63 = 0.37

Given that the probability of being a senior citizen is 0.3.

Then the probability of not a senior citizen is:

1-0.3 = 0.7

Hence, the probability of being a senior citizen and white is:

(0.63)(0.3) = 0.189

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In slope-intercept form, the equation of a line is represented as y = mx + b. So the equation in slope-intercept form is y = (1/2)x + 2

Slope is a measure of the steepness of a line or a linear function. It is often represented by the letter "m" and is calculated as the ratio of the change in the y-coordinates of two points divided by the change in the x-coordinates of those same two points. In other words, it is the ratio of the "rise" to the "run" of the line. The slope of a line can be positive, negative, zero, or undefined.

The slope-intercept form of a linear equation is a way to represent the equation of a line in the form of y = mx + b, where m is the slope and b is the y-intercept of the line. The y-intercept is the point where the line crosses the y-axis, and it is represented by the value of b. This form of the equation is useful because it allows us to easily identify the slope and y-intercept of a line, as well as to graph the line using these values.

The first step is to add 12y to both sides:

6x - 12y + 12y + 24 = 12y

6x + 24 = 12y

The next step is to divide both sides by 12 to get y by itself on one side:

y = (6/12)x + (24/12)

y = (1/2)x + 2

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The length of  the outside arc of each piece compared to the inside arc is 5.57 inches

Length of outer track = sum of length of 10 pieces = circumference of the outer circle

if R is the Radius of outer circle then...

Circumference of the outer track = 2pi*R

Similarly the circumference of the inner track (with radius r) = 2pi*r

length of each outer piece is 3.5 inch more than length of inner piece

So total outer length is 10*3.5 =35 inches more than the inner length.

=> Outer Circumference - Inner Circumference = 35 inches

=> 2pi*R - 2pi*r = 35

=> 2pi(R -r) = 35

=> R-r = 35/2pi = 5.57 inches

=> R-r = Width of the track = 5.57 inches

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Answer:

There are 6

Step-by-step explanation:

There are two within each circle.

Answer: 18.84 radians

Step-by-step explanation:

A touchdown in football count for 6 point. If n and for the number of touchdown, then the equation which represents number of points in n touchdown y = [tex]6n[/tex]

Given that,

A touchdown in football count for 6 point.

If n and for the number of touchdown,

We are given that a touchdown in football counts for 6 points.

We have to find an equation which represents number of points in n touchdown.

In order to find the number of points in n touchdown we will multiply 6 with n.

Number of points in one touchdown y = 6

Number of points in n touchdown y = [tex]6*n[/tex]

Number of points in n touchdown y = [tex]6n[/tex]

Therefore,

A touchdown in football count for 6 point. If n and for the number of touchdown, then the equation which represents number of points in n touchdown y = [tex]6n[/tex]

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Increasing or decreasing the size of a figure (referred to as the preimage) to produce a new figure is a type of transformation termed dilation. How much the dilation image will enlarge or reduce in size relative to the preimage is determined by the scale factor, r. Every time, k will have a value larger than 0.

A transformation in geometry is an action that shifts, rotates, or modifies an existing shape to produce a brand-new shape.

Increasing or decreasing the size of a figure (referred to as the preimage) to produce a new figure is a type of transformation termed dilation.

How much the dilation image will enlarge or reduce in size relative to the preimage is determined by the scale factor, r.

A two-scale factor dilation has been applied to Image A in relation to its origin. It is important to note that every coordinate point in the dilation picture is twofold that of the preimage.

The notation shown below can be used to represent a dilation with a scale factor close to the origin:

Dk (x , y ) = (kx, ky)

there will always be a number greater than 0 in the equation.

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The zeroes of the polynomial x5-x3+2x-2 are 0.618033988749895 and -1.618033988749895.

The given polynomial is x5-x3+2x-2. To find the zeroes of the polynomial, it should be set equal to zero.

Thus, x5-x3+2x-2 = 0

To solve this equation, the quadratic formula can be used. The quadratic formula is x = [-b ± √(b2 - 4ac)]/2a.

In this equation, a = 1, b = -1 and c = -2.

Thus, x = [-(-1) ± √((-1)2 - 4(1)(-2))]/2(1)

x = [1 ± √5]/2

The zeroes of the equation are

x = 0.618033988749895 and x = -1.618033988749895

Therefore, the zeroes of the polynomial x5-x3+2x-2 are 0.618033988749895 and -1.618033988749895.

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