5x – 3= 17
X=?
Find what x equals to.

The roots of this quadratic equation are real and equal.

given equation:

[tex]x^{2}[/tex] - 6x + 9 =0

now we need to find discriminant

discriminant = D = [tex]b^{2}[/tex] - 4ac

from the given equation

a = 1

b = -6

c = 9

D = [tex](-6)^{2}[/tex] - 4(1)(9)

  = 36 - 36

D = 0

1.  [tex]b^{2}[/tex] - 4ac < 0 there roots are imaginary

2.  [tex]b^{2}[/tex] - 4ac = 0 there roots are real and equal

3. [tex]b^{2}[/tex] - 4ac >0  there roots are real and  distinct

The roots of this quadratic equation are real and equal.

A quadratic equation is graphically represented by a parabola with vertex located at the origin , below the x-axis , or above the x-axis . Therefore , a quadratic function may have one ,two or zero roots.

If the quadratic function is always more than zero that means, when graphed on coordinate system, the function never have intersects the

x-axis. That means that quadratic equation has no real roots.

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The monthly payment amount is (8000 - 2600) / 12 = $500.

1. The cot of a car is given as 8000. The depoit is given as 2600.

2. The formula for the cot of buying a car is cot = 12 x monthly payment depoit.

3. To find the monthly payment, we can rearrange the formula to monthly payment = (cot - depoit) / 12.

4. Substituting in the values, we get monthly payment amount = (8000 - 2600) / 12 = $500.

The cost of a car can be calculated using a simple formula. The formula is cot = 12 x monthly payment deposit. In this case, the cost of the car is given as 8000 and the deposit is given as 2600. To find the monthly payment, we can rearrange the formula to solve for the monthly payment amount. This gives us the equation monthly payment = (cot-deposit)/12. When we plug in the given values, we get monthly payment = (8000-2600)/12 = $500. This means that the monthly payment amount for this car is $500.

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The coordinate pairs that represent possible solutions to the inequality graph are;

(4, 4)

(0, 0)

When it comes to inequality graphs, the shaded portion usually contains all the possible coordinates that represent solutions to the given inequality.

Now, from the inequality graph, we say that the shaded part is below the line and so our possible solutions will be located in that direction.

Thus, the possible solutions from the graph are the coordinates;

(-5, -5), (-4, -4), (-3, -3), (-2, -2), (-1, -1), (0,0), (1, 1), (2, 2), (3, 3), (4, 4)

Lookin at the given options, the only ones that are possible solutions are options B and E.

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Total surface area = 2(lb+bh+hl)

TSA = 2(25×20+20×15+15×25)

TSA= 2(500+300+375)

TSA= 2(1175)

TSA= 2350 cm²

Lateral surface area = 2(l+b)h

LSA= 2(25+20)15

LSA,= 2(45)15

LSA= 1350 cm²

h=25 cm

l=20 cm

b=15 cm

Total surface area is 2(lb+bh+hl)

2(20×15+15×25+25×20)

2(300+375+500)

2(1175)=2350 cm 2

Answer:

  C.) The only extreme point is (-1, 18).

Step-by-step explanation:

You want the local and global extrema of f(x) = -2x² - 4x + 16.

Unless the domain is restricted to a particular interval, the extrema of a polynomial function will be its turning points. The number of possible turning points is 1 less than the degree of the equation.

An even-degree polynomial equation will always have at least one global extreme on the domain of all real numbers.

The given 2nd-degree equation will have exactly one extreme point: its vertex at (-1, 18).

__

Additional comment

The vertex of ax² +bx +c is located at x=-b/(2a). Here, that is x=-(-4)/(2(-2)) = -1. The value of f(-1) is -2 -(-4) +16 = 18, so the extreme point is (-1, 18). A graphing calculator finds it quickly.

Answer:

-6r+48

Step-by-step explanation:

The answer above is what you end up when you use distributive property.

For the given function 3x + 2y = 10 the slope of the function is equal to -3/2.

As given in the question,

Given function is equal to 3x + 2y = 10

Standard form  of the equation representing slope intercept form is given by :

y = mx  + c

'm' is the slope of the given function

'c' is the value of y-intercept of the given function.

Now simplify the given function 3x + 2y = 10  in standard form ,

3x + 2y = 10

⇒2y = -3x + 10

⇒ y = 1/ 2(-3x + 10 )

⇒ y = -3/2x + 5

Compare with the standard form of the equation ,

Slope of the given function is m = -3/2.

Therefore, for the given function 3x + 2y = 10 the slope of is given by

m = -3/2.

The given question is incomplete , the complete question is:

What is the slope of the function 3x + 2y =  10?

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The equation y = (-2/3)x + 4 in standard form is 2x + 3y = 12.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

We have,

y = (-2/3)x + 4

The equation of a line in standard form is ax + by = c

Now,

y = (-2/3)x + 4

3y = -2x + 12

Adding 2x on both sides.

2x + 3y = 12

Thus,

The equation in standard form is 2x + 3y = 12.

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Based on Paul's batting scores for cricket in a season, his mean score to the nearest whole number is equal to 13.

In Mathematics, a mean is sometimes referred to as an average and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.

Mathematically, the mean for this set of scores can be calculated by using the following formula:

Mean = [F(x)]/n

For the total scores, we have;

F(x) = 17 + 23 + 9 + 0 + 8 + 21 + 12

F(x) = 90.

Now, we can determine the mean score as follows;

Mean score = 90/7

Mean score = 12.86 ≈ 13.

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Step-by-step explanation:

this is answered by "how often does 3/4 fit into 3 1/2 ?".

and that is what division is for :

3 1/2 / 3/4

(3×2 + 1)/2 / 3/4

7/2 / 3/4 = (7×4)/(2×3) = 28/6 = 14/3 = 4 2/3

Maddy can make 4 bows.

and she has some tape left, but not enough to make a 5th.

Using the concept of conditional probability and using the values provided, The answer is 0.4.

Probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood of various outcomes.

The possibility of an event or outcome happening contingent on the occurrence of a prior event or outcome is known as conditional probability. The probability of the prior event is multiplied by the current likelihood of the subsequent, or conditional, occurrence to determine the conditional probability.

p(h)=0.5

p(f)=0.3

p(h ∩ f) = 0.2

p(f/h) = p(h ∩ f) / p(h)

=0.2/0.5

=0.4

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The point of intersection of these two lines is (2,1)

Point of intersection means the point at which two lines intersect.

These two lines are represented by the equation a1x + b1y + c1= 0 and    a2x + b2y + c2 = 0, respectively.

When the graphs of y = f(x) and y = g(x) intersect, both graphs have exactly the same x and y values.

So we can find the point or points of intersection by solving the equation f(x) = g(x)

We have been given that line l1  is horizontal and passes through the point (1,1). The line l2 is vertical and passes through points (2,2). We are asked to find a point of intersection between line l1 and line l2.  

Line l1 is a horizontal line so the y-coordinate will be 1 for any value of x. Line l2  is a vertical line, so the x-coordinate will be 2 for any value of y.

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No, the Square root of an integer is not always irrational because the square root of perfect squares is not irrational.

Any real number that cannot be written as p/q, where p and q are both integers, the quotient of two integers.

If a number is not a perfect square, the square root of that number is not rational.

For example, the square root is 4 is 2.

The square root of 9 is 3.

But whereas the square root of 5 is 2.23606797755555...... which is irrational

The square root of 8 is 2.8284271247555..... which is irrational.

So, therefore square root of a number is not irrational always it can be rational also.

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There is a mode formula, that is Mode = l + [(f₁-f₀)/(2f₁-f₀-f₂)] * h

Where,

l = lower limit of the modal class

h = size of the class interval

f₁ = frequency of the modal class

f₀ = frequency of the class preceding the modal class

f₂ = frequency of the class succeeding the modal class

The value that consistently appears in a given set is the mode. The mode or modal value in a data set is sometimes referred to as the value or number that occurs most frequently in the data set. In addition to mean and median, it is one of the three measures of central tendency.

A mode is described as the value in a group of values that occurs more frequently. The value that appears the most frequently is this one.

To find the mode we use the formula Mode = l + [(f₁-f₀)/(2f₁-f₀-f₂)] * h

Where,

l = lower limit of the modal class

h = size of the class interval

f₁ = frequency of the modal class

f₀ = frequency of the class preceding the modal class

f₂ = frequency of the class succeeding the modal class

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The example of Triangle inequality theorem 2 is 4 + 8 = 12, which is less than 15 in total. Triangle Inequality Theorem is not satisfied by this set of side lengths.

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In mathematics 4 is called a numerical term or a number.

A mathematical expression is a combination of two or more terms along with operator or symbols. Here, term defines the numbers and variables. variables are denoted by alphabets. When an expression contains only numbers and symbols then it is called numerical expression.

As example 1024 + 234 is a numerical expression.

4 is a whole number. In a mathematical expression 4 is a numerical term.

A numerical term can be acted as a constant or coefficient depending on the types of expression given.

Suppose we have an expression 2x + 3Y - 4 in where 4 is a number act as a constant term. In the other hand, we imagine an expression

16z- 3y + 4x -10 in where 4 is a number accompanied by variable x so 4 is the coefficient of x.

If we write a linear equation, y = 4X + 5

        here, 4 is the slope of equation

Whenever we write a square root of √16

                                                 we get 4

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The first 3 consecutive odd numbers are 1,3,5. x and x + 2 are consecutive odd numbers if x is an odd number.

Consecutive numbers are those that always appear in the same order, from smallest to largest.

For instance:

The numbers 1, 2, 3, 4, 5, 6, and so on are consecutive.

consecutive odd numbers:

Let's call the odd number "x." The subsequent term becomes "x + 4" and the next consecutive odd number becomes "x + 2."

Numbers that begin with 1, 3, 5, 7, or 9 are considered odd. 1, 3, 5, 7, 9, 11, 13, 15, and so on are examples of consecutive odd numbers.

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By completing the squares we will see that the solutions are:

a) For 2x^2 + 8x - 1 = 0:

x = -2 ±√4.5

b) For x^2+4x-7 = 0

x = ±√11 - 2

Remember that the perfect square trinomial is:

(a + b)^2 = a^2 + 2ab + b^2

The first quadratic equation is:

2x^2 + 8x - 1 = 0

Dividing by 2 we get:

x^2 + 4x - 1/2 = 0

We can rewrite this as:

x^2 + 2*2*x - 1/2 = 0

Adding and subtracting 2^2 = 4, we get:

x^2 + 2*2*x + 4 - 4 - 1/2 = 0

(x + 2)^2 - 4 - 1/2 = 0

(x + 2)^2 = 4.5

Now we can solve this:

x + 2 = ±√4.5

x = -2 ±√4.5

These are the two solutions.

The other quadratic equation is:

x^2+4x-7 = 0

We can rewrite this as:

x^2 + 2*2*x - 7 = 0

Again, add and subtract 4 to get:

x^2 + 2*2*x + 4 - 4 - 7 = 0

(x + 2)^2 = 11

Solving this we get:

x = ±√11 - 2

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Answer: 3,385.00

Step-by-step explanation: To find the number of student tickets sold, we need to first figure out the total number of tickets sold at the football game. We can do this by dividing the total amount of money collected by the cost of each ticket. In this case, we have:

Total number of tickets = 8,816.00 / (5.00 + 8.00)

                      = 8,816.00 / 13.00

                      = 677.5

Since the total number of tickets sold must be an integer, we can round this number down to 677. This means that 677 student tickets were sold at the football game.

We can verify this answer by calculating the total amount of money collected from the student tickets and checking that it is equal to the total amount collected at the game:

Total amount collected from student tickets = 677 * 5.00

                                          = 3,385.00

Since the total amount collected from the student tickets is less than the total amount collected at the game, we know that this is the correct answer.

Answer: f(0) = 7

Step-by-step explanation:

f(x) = x² + 6x + 7

f(0), we just need to put 0 in for all the x

f(0) = 0^2 + 6(0) +7

f(0) = 0 + 0 + 7

f(0) = 7

Answer:

y=4

Step-by-step explanation:

slope doesn't exist

so y=0x+4 >>>>> y=4

Factors that are needed to be considered by producer when deciding on the kind of  good to supply are :

1) The supply of a good's flexibility.

2)There is rivalry in the market.

3)The capacity to efficiently generate the good

What is the importance of supply of goods in market?

Supply is crucial because it ensures that there is sufficient production of the items needed to keep up with consumer demand. Typically, the price of that commodity will rise if supply is less than demand. This supply schedule, or curve, establishes the quantity of an item that is produced at a given price.

Applies to be checked are:

1) A producer must first conduct market research by taking into account a number of Factor before he can supply a good.

2) One of the most important factors to take into account is competition because when there is a lot of it, sales may not be as high.

3) Reliable production How are you going to stand out if the goods, given that there are so many competitors?

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Supply is crucial because it ensures that there is sufficient production of the items needed to keep up with consumer demand. Typically, the price of that commodity will rise if supply is less than demand. This supply schedule, or curve, establishes the quantity of an item that is produced at a given price.

Applies to be checked are:

A producer must first conduct market research by taking into account a number of Factor before he can supply a good.

One of the most important factors to take into account is competition because when there is a lot of it, sales may not be as high.

Reliable production How are you going to stand out if the goods, given that there are so many competitors?

The difference between transform and fit_transform is that transform() method is used to perform scaling whereas fit_transform does both the fitting and the transforming in one step.

In this question we need to describe the difference between methods transform() and fit_transform()

We know that the methods like transform(), and fit_transform() provided by the scikit-learn package.

Both are the methods of class sklearn.preprocessing.StandardScaler()

The transform() method is used to perform scaling using mean and standard deviation which is calculated using the .fit() method.

The fit_transform() method does both fits and transform i.e., fit_transform() calculates the mean and standard deviation for a given feature and also perform scaling.

Therefore, transform() changes the data and fit_transform does both the fitting and the transforming in one step.

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The volume of the given solid. bounded by the coordinate planes and the plane 6x + 8y + z = 48 is 384.

In the given question, we have to find the volume of the given solid. bounded by the coordinate planes and the plane 6x + 8y + z = 48.

Cut by a plane at x = x(0) = constant, then z= 48-6x-8y while you are moving with y at x=x(0) constant

At this plane (x = x(0)), an element of area will be dA = z dy and an element of volume dV = dA dx

So , V = [tex]\int\int zdydx[/tex]

v = [tex]\int_{0}^{8}\int_{0}^{(48-6x)/8}(48-6x-8y)dy.dx[/tex]

v = [tex]\int_{0}^{8}[48y-6xy-4y^2]_{0}^{(48-6x)/8}dx[/tex]

v = [tex]\int_{0}^{8}[48\times((48-6x)/8)-6x\times((48-6x)/8)-4((48-6x)/8)^2-0]dx[/tex]

v = [tex]\int_{0}^{8}[9/4(x-8)^2]dx[/tex]

Let u = x-8

v = [tex]9/4\int_{0}^{8}(u)^2[/tex]

v = [tex]9/4\left[\frac{(u)^3}{3}\right]^{8}_{0}[/tex]

v = [tex]3/4[(x-8)^2]_{0}^{8}[/tex]

v = 3/4[(8-8)^3+(0-8)^3]

v = 3/4[0-(-512)]

v = 384

The volume of the given solid. bounded by the coordinate planes and the plane 6x + 8y + z = 48 is 384.

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If the spheres are connected by a long thin wire, then the two spheres are at the same potential.

In math, the term sphere refers a three dimensional solid, that has all its surface points at equal distances from the center.

Here we have given that the two conducting spheres, here one having twice the diameter of the other, that are separated by a distance large compared to their diameters. Then the smaller sphere (1) has charge q and the larger sphere (2) is uncharged.

And we need to find If the spheres are connected by a long thin wire.

While we looking into the given question when these two conducting spheres are connected together through a thin wire then charge from the smaller sphere will travel through the wire.

Therefore, here this charge will continue to travel towards the neutral sphere until the charge on both the spheres will become equal to each other.

Therefore, their potential will also become equal.

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Answer:

  c. $350.24, the april balance plus the late fee

Step-by-step explanation:

You want to know the required total payment when the balance being repaid is $325.24 and a late fee of $25 is charged.

Arthur must pay both the balance due and the late fee. The total amount he must pay is ...

  balance + late fee = $325.24 +25.00 = $350.24

Answer:

number line with a closed circle at point 12, shaded to the left

Step-by-step explanation:

Because it say he had no less than 12 newspapapers

Which mean he had smaller than or equal to 12 nnewspapapers

Because there is equal, so it will be a close circle, and shaded to the left because it is less than !