Use the quadratic formula to find the complex roots
X^2+6x+14

Answer:

[tex]y=5x+3[/tex]

Step-by-step explanation:

Consider the points [tex](-3,-12)[/tex] and [tex](2,13)[/tex].

[tex]m=\frac{-12-13}{-3-2}=5 \\ \\ y-13=5(x-2) \\ \\ y-13=5x-10 \\ \\ y=5x+3[/tex]

The general form of the equation for the given circle is:

[tex](x-a)^2 + (y-b)^2 = r^2[/tex]

A circle is a closed shape consisting of all points that are a fixed distance, called the radius, away from a single point, called the center. It is a two-dimensional geometric shape and is defined by its diameter, which is the distance between two points on the circle that are opposite each other and pass through the center.

An equation is a mathematical statement that asserts the equality of two expressions. It typically contains one or more variables, which are placeholders for unknown numbers or values, and one or more constants, which are fixed numbers. The most common type of equation is an algebraic equation, which uses mathematical operations such as addition, subtraction, multiplication, and division to relate the variables and constants.

The general form of the equation for a circle is

[tex](x-a)^2 + (y-b)^2 = r^2[/tex]

where,

(a,b) is the center of the circle and

r is the radius of the circle.

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The probability that a randomly selected student takes both computer science and statistics courses as electives is 0.26

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

We can use the formula for the probability of the intersection of two events:

P(A and B) = P(A) + P(B) - P(A or B)

where A and B are the events of taking computer science and statistics courses as electives, respectively.

Given:

P(A) = 0.41 (probability of taking computer science)

P(B) = 0.48 (probability of taking statistics)

P(A or B) = 0.63 (probability of taking at least one of these two courses)

So,

P(A and B) = 0.41 + 0.48 - 0.63 = 0.26

Therefore, the probability is 0.26, rounded to two decimal places.

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Answer:

Step-by-step explanation:

A = x 14%=.14x

B=8 (4%)=.04(8)

  =8x   12%= .12*8x

.14x+.04(8)=.12(8x)

.14x+.32=96x-.14x

.32=.82x/x

.32/.82=.39

The amount of 14 % of ethanol that needs to mixed is A = 36 gallons

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

14% ethanol fuel mixture should be mixed with 8 gal of 3% ethanol fuel mixture to get a mixture that is 12% ethanol

So , the equation is

A ( 14 % ) + ( 8 ) ( 3 % ) = ( A + 8 ) ( 12 % )

On simplifying , we get

14A + 24 = 12A + 96

Subtracting 12A on both sides , we get

2A + 24 = 96

Subtracting 24 on both sides , we get

2A = 72

Divide by 2 on both sides , we get

A = 36 gallons

Therefore , the value of A is 36 gallons

Hence , the equation is A = 36 gallons

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The area represented by g(x) is the definite integral of g(x) with respect to t from t=0 to t=x:

g(x) = ∫(t^4) dt from 0 to x

To find g'(x) using Part 1 of the Fundamental Theorem of Calculus, we know that:

g'(x) = d/dx (∫(t^4) dt from 0 to x) = (t^4) evaluated at x = x^4

To find g'(x) using Part 2 of the Fundamental Theorem of Calculus, we can evaluate the integral:

g(x) = ∫(t^4) dt = (1/5)t^5 evaluated from 0 to x = (1/5)x^5

then take the derivative of g(x) with respect to x:

g'(x) = d/dx ((1/5) x^5) = (1/5) * 5x^4 = x^4

Both ways give the same result of g'(x) = x^4

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The expression y = 1/2x is required a multiplication equation as a factor with 1/2.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

here,
Given multiplication factor between the value is given as 1/2, So it is assumed that one of the dependent variables is equal to 1/2 times the independent variable. expression is given as,
y = 1/2x.

Thus, the expression y = 1/2x is required a multiplication equation as a factor with 1/2.

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Answer:

yes 5=89

Step-by-step explanation:

Consequently, the airplane's speed in still air 250 mph and Therefore, the wind's speed is 50 mph.

Its simplest form is thought to be the number's smallest equivalent fraction. How to determine the simplest form. Look for shared factors in the denominator and numerator. A fractional number can be checked to discover if it is a prime number. A statement having two spherical geometry and an equal sign in the middle is referred to as a mathematical equation. Every variable's degrees are listed in descending order in the general form of any equation. The formula for a linear equation is x + b = 0.

given

Now solve any problem for one variable. In the first equation, I'll find the value of x:

200mph = p - w

On both sides, add w:

p = 200mph Plus w

Now that we have the x from the first equation, we can use it to solve for w in the second equation:

200 mph + w + w Equals 300 mph

Add related phrases together for 300 mph: 200 mph plus two

200 mph on both sides are subtracted:

100mph = 2w

50 mph divided by two is w.

Therefore, the wind's speed is 50 mph.

To find the plane's speed, enter the value we just discovered back into either equation. I'll enter it into the first equation.

200 mph = (p - 50 mph)

50 mph extra on both sides

250mph = p

Consequently, the airplane's speed in still air 250 mph .

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Citizens have the freedom and independence to choose their own career paths, as well as the ability to change jobs relatively easily if they desire.

Los números enteros están constituidos por todos los números que no tienen cifras decimales, por lo que sería verdadero afirmar que 5% es un numero entero.

¿Qué son los números enteros?

Los números enteros son un conjunto de números que se caracterizan por no tener cifras decimales. En general, los números enteros incluyen los positivos, negativos y el cero.

De acuerdo con lo anterior, podemos inferir que es verdadero afirmar que el 5% es un numero entero debido a que no tiene cifras decimales y es un número positivo. Por otra parte, si fuera 5.2% u otro valor con cifras decimales sería falsa la respuesta.

Nota: Esta pregunta está incompleta debido a que tiene información faltante. Aquí está la información faltante:

De acuerdo a reglas sobre los números, se puede concluir que 5 por ciento si es un número entero.

Opciones

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Answer:

enter this equation in desmos or symbolab, i cant do it here

Step-by-step explanation:

Answer: 240

Step-by-step explanation:

The difference in cost between the two plans after 18 months is $240.

This is because the cost of Company A is consistently $35 more per month than that of Company B, which therefore would add up to $630 after 18 months.

The linear equation representing the cost of Company A is Y = 35X + 40, while the linear equation representing the cost of Company B is Y = 50X.

After 18 months, X would equal 18, and substituting this value into the two equations, we get the following for Company A:

Meanwhile, for Company B, we get:

The difference between these two values for different internet service providers is:

This question should be provided with this following data:

Company A

Month, X : 1, 2, 3, 4

Total Cost ($), Y: 75, 110, 145, 180

Company B

Month, X : 1, 2, 3, 4

Total Cost ($), Y: 60, 110, 160, 210

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Answer:

x = 20

y = 20

Step-by-step explanation:

In the given triangle, we can deduce that angle x is congruent to angle y using the Isosceles Triangle Theorem. Hence, we can construct the equation xº = yº.

We also know that the measures of the interior angles of a triangle add to 180º. Hence, we can construct the equation xº + yº + 140º = 180º.

We now have a system of equations, and since we already have an identity for xº (and also for yº), we can solve the system using the substitution method.

xº + yº + 140º = 180º

↓ substituting xº for yº

xº + xº + 140º = 180º

↓ subtraction 140º from both sides

2xº = 40º

↓ dividing both sides by 2

xº = 20º

↓ removing degree sign from both sides

x = 20

Now that we have solved for x, we have also essentially solved for y, as plugging this x-value into the equation xº = yº will just yield:

20 = y

y = 20

Therefore, when comparing all the banks, Bank B has the lowest fees. Bank B is the best choice, thus.

The algebraic equation y=mx+b is known as a linear equation. M serves as the y-intercept, and B serves as the slope. The previous clause has two variables, y and x, and is sometimes referred to as a "linear equation with two variables". Bivariate linear equations are those with two independent variables. The following are a few examples of system of equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When an equation takes the form y=mx+b, with m denoting the slope and b denoting the y-intercept, it is referred to as being linear. The term "linear" refers to an equation having the form y=mx+b, where m stands for the slope and b for the y-intercept.

given

Charges are equal to $13.25 when 23 checks are signed from bank A.

Charges will be equal to $11.50 when 23 checks are signed from bank B.

Charges are equal to $15 when 23 checks are signed from bank C.

Charges are equal to $12.30 when 23 checks are signed from bank D.

Therefore, when comparing all the banks, Bank B has the lowest fees. Bank B is the best choice, thus.

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The complete question is :-

The checking account fees for Banks A, B, C, and D are shown in the table below.

Monthly Service Fee Per-­Check Fee

Bank A $7.50 $0.25

Bank B None $0.50

Bank C $15.00 None

Bank D $10.00 $0.10

If a customer writes 23 checks per month, which bank will charge her the least in fees? Show your work.

Answer:

[tex]2 \, \dfrac{4}{25} \textrm{ ft}[/tex]

Step-by-step explanation:

First, solve for how many feet Jason has dug after 40 minutes:

[tex]\dfrac{\dfrac{3}{5} \textrm{ ft}}{10 \textrm{ min}} \times 40 \, \textrm{min} = 2 \dfrac{2}{5} \, \textrm{ft}[/tex]

So, the hole he has dug is 2 2/5 ft deep.

Next, we can solve for how deep the hole will be after placing a plant in by simply multiplying 9/10 by the depth of the hole dug.

[tex]2\, \dfrac{2}{5} \times \dfrac{9}{10} = \dfrac{12}{5} \times \dfrac{9}{10} = \dfrac{6 \times 9}{5 \times 5} = \dfrac{54}{25} = 2 \, \dfrac{4}{25} \textrm{ ft}[/tex]

The total cost of 0.6 pounds of blueberries and 1.8 pounds of clementine's is, $6.6.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

A pound of blueberries costs $3.50 and a pound of clementine's costs $2.50.

Hence, We get;

The total cost of 0.6 pounds of blueberries and 1.8 pounds of clementine's is,

⇒ 0.6 × $3.50 + 1.8 × $2.50

⇒ $2.1 + $4.5

⇒ $6.6

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To find the approximate difference in the percentage of people that liked pepperoni on their pizza and the percentage of people that only liked cheese pizza, we need to find the percentage of people that liked pepperoni and the percentage of people that only liked cheese, and then subtract the smaller percentage from the larger percentage.

From the graph, we can see that 30 people liked pepperoni, 20 people liked mushrooms, 15 people liked sausage, and 10 people liked cheese and olives.

The total number of people Jimmy asked is 30+20+15+10 = 75

The percentage of people that liked pepperoni is 30/75*100 = 40%

The percentage of people that only liked cheese is 10/75*100 = 13.33%

The difference between 40 and 13.33 is 26.67%.

So, the approximate difference in the percentage of people that liked pepperoni on their pizza and the percentage of people that only liked cheese pizza is 26.67%.

On solving the provided question, we can say that in these equation  Y= -2/3x + 3 and y = 2x-5 let x  = 1, Y = 7/3 and y = -3

A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.

in these equation

Y= -2/3x + 3

y = 2x-5

let x  = 1

Y = 7/3

y = -3

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The solution ax2 + bx + c = 0 can be solved using  quadratic equation

x = (-b (b2 - 4ac))/2a to get the roots of the problem.

Just using equations x = ax2 + bx + c = 0 and a 0, a quadratic function is a 2nd polynomial problem in one variable. It is a third polynomial problem, hence the foundational theorem of algebra guarantees that there is least one solution. There may also be real or sophisticated solutions. The quadratic formula makes solving any quadratic equation easier for us. In order to solve this equation, we must first change its form to appear as ax2+bx+c=0, in which a, b, and d are the coefficients. Therefore, we add these coefficients to the method: (-b(b2-4ac))/ (2a).

Here,

The problem ax2 + bx + c = 0 can be solved using

the method x = (-b (b2 - 4ac))/2a to get the roots of the problem.

D = b² - 4ac provides the discriminant value. If D > 0, the equation has two genuine, separate roots.

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The price of each bag of popcorn and the price of each drink is $7.5 and $4 respectively.

Let the drinks be represented as d.

Let the popcorn be represented as p.

From the information, Xochitl went into a movie theater and bought 6 bags of popcorn and 4 drinks, costing a total of $65. Thus will be:

6p + 4d = 65

Alonso went into the same movie theater and bought 9 bags of popcorn and 8 drinks, costing a total of $107.50. This will be:

9p + 8d = 107.50

Equating the equation

6p + 4d = 65 ..... i

9p + 8d = 107.50 ..... ii

Multiply equation i by 8

Multiply equation ii by 4

48p + 32d = 520

36p + 32d = 430

12p = 90

Divide

p = 90/12

= 7.5

6p + 4d = 65 .

6(7.5) + 4d = 65

4d = 65 - 45

4d = 20

d = 20/4

drink = 5

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Ms. McCarty uses 1/10 fraction of the sheet of paper to make a flower

Ms.McCarty uses 1/2 of a piece of construction paper

She uses 1/5 of this quantity to make a flower

Therefore the fraction of the sheet of paper used to make the flower can be calculated as follows

1/2 × 1/5

= 1/10

Hence she uses 1/10 of the sheet of paper to produce the flower

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50% of 1.6 km, or 0.8 km, is how far Andre lives from school, which is 1.6 km away.

A number or ratio that is expressed as a fraction of 100 is known as a percentage in mathematics. There are also sporadic uses of the acronyms "pct.," "pct," and "pc." However, the percent sign "%" is widely used to signify it. There are no dimensions to the percentage amount. Percentages are essentially fractions because they have a numerator of 100. Put the percent sign (%) next to a number to indicate that it is a percentage. For instance, you would score a 75% if you answered 75 out of 100 questions on a test correctly (75/100). Divide the money by the total to get percentages, then multiply the result by 100. The formula (value/total) x 100% is used to determine the percentage.

given

Of means multiply and is means equals

W = 50% of 1.6

Change to decimal form

W = .50 * 1.6

W  = .8 km

50% of 1.6 km, or 0.8 km, is how far Andre lives from school, which is 1.6 km away.

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Answer:

[tex]a^2+b^2[/tex]

Step-by-step explanation:

The SUM of the SQUARES of a and b

The square of a is a^2

The square of b is b^2

The sum of them is: a^2 + b^2

Answer:

well if its about a right triangle its c^2 if not its just a^2+b^2

Step-by-step explanation:

The corrective action that offices that consistently charged excessive fees would be subject to by JTFH is a. The office will immediately be terminated from the Program.

JTH Financial, LLC (JTHF)  is a company that was formed in 2010 in Virginia and their goal and mode of operation is to help customers with tax settlement products that can help them get the best amount to pay for taxes.

JTH Financial, LLC has affiliate offices that engage in tax preparation for clients around the United States but they monitor these offices to ensure that their tax preparation fee averages is not excessive. If an office consistently has excessive fees charged to its customers, then JTH Financial terminates them from the program to protect its customers.

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Answer:

80

Step-by-step explanation:

80,80,83,84,85,87,91,96,97

in this numbers there is one mode which is 80 . it is mono.

Answer:

The unit of length that a microscope best helps to see is 1 millimeter.

Step-by-step explanation:

Microscopes are instruments used for viewing objects that cannot be seen with eyes. The unit length of an object that a microscope can view should be a length that is very small

Answer: y = 40deg, x = 80deg

Step-by-step explanation:

1. Because we see that there are parallel lines in the triangle to the left, we know that two of the angles of that triangle are 50deg

2. using the fact that triangles have a total of 180deg we get x = 80deg

To solve for y, we also know that there are two angles in that triangle which are the same, and one of them is y, therefore 2y + 100deg = 180deg, meaning 7 = 40deg

The statement  means "whenever x is close to (but not equal to) a, then f(x) is a large positive number.

When x is close to (but not equal to) a, then f(x) is a large positive number, according to the expression limxaf(x)=. In other words, f(x) grows larger and larger without bound as x approaches a.

For a rational function, we divide the numerator and denominator by the highest power of x that appears in the denominator to get the limits at infinity. This establishes which term in the overall expression controls how the function behaves at high x values.

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