Quadratic equation whose roots are -6 and 2 and whose leading coefficient is 2

Answers

Answer 1

Answer:

x² + 4x - 12

Step-by-step explanation:

Roots: -6 and 2

Leading coefficient: x²

(x + 6)(x - 2)

x(x - 2) + 6(x - 2)

x² - 2x + 6x - 12

x² + 4x - 12

I hope this helps!


Related Questions

a(n) ________ report displays a greater level of detail.

Answers

A drill-down report is a type of report that displays a greater level of detail as the user navigates through it.

A drill-down report is a type of report that allows the user to access a greater level of detail as they navigate through it. It is an interactive report that presents a summary of data initially and then allows the user to drill down to more detailed information.

The report provides a visual representation of data that can be explored at different levels of granularity, providing a deeper understanding of the underlying information. Drill-down reports are useful for decision-making because they provide insights into the root causes of issues or trends.

Learn more about drill-down at

https://brainly.com/question/13266014

#SPJ4

Please help! 2 people have already stolen my brainlist :(

Please help! 2 people have already stolen my brainlist :(

Answers

Answer:

a). xy

b).x^2

c). (2y-1) (y^2+3)

Parker has $137 in one, five, and ten dollar bills. He has just as many ten dollar bills as he has five and one dollar bills together. If he has 22 bills in all, how many of each type of bill does he have?

Answers

Step-by-step explanation:

(1$) 7+ ($5) 4 + ($10) 11=22 bills

7+20+110=137$

when the decimal point of a certain positive decimal number is moved four places to the right, the new number is four times the reciprocal of the original number. what is the orignal number?

Answers

If the new number is four times the reciprocal of the original number, then  the original number is 0.02.

Let us assume the original positive decimal number is = "x".

When we move the decimal point of x four places to the right,

We get,  "10000x", which is four times the reciprocal of x.

So, equation can be written as;

⇒ 10000x = 4(1/x),

On simplifying the equation,

We get,

⇒ 10000x² = 4,

Dividing both sides by 10000,

We get,

⇒ x² = 0.0004,

Simplifying further,

We get,

⇒ x = 0.02

Therefore, the original positive decimal number is 0.02.

Learn more about Decimal Number here

https://brainly.com/question/4708407

#SPJ4

Chemists graph xinetio data to determine rate constants and the order of reactions. Analyze this data a (2) Aler gathering rate data, a chemist grap 0.2.6 Ponts Earned 2/2Aflempts Remaining Chemists graph kinetic data to determine rate constants and the order of reactions. Analyze this data. If the slope is 0.0470 for this reaction, determine the rate constant, k, for this reaction.

Answers

To determine the rate constant (k) for a reaction based on the slope of a graph, we need to use the appropriate rate equation. The rate constant for this reaction is 0.0470.

In a first-order reaction, the rate equation is expressed as:

rate = k[A]

If the slope of the graph is given as 0.0470, we can equate it to the rate constant (k) in the first-order rate equation.

slope = k

Therefore, the rate constant for this reaction is 0.0470.

Learn more about constant here:

brainly.com/question/27983400

#SPJ11

True or false? We use multilinear regression analysis only when all the independent variables in the model are continuous.

Answers

Answer:

false

Step-by-step explanation:

False. We can use multilinear regression analysis when some or all of the independent variables in the model are continuous, categorical, or a combination of both.

Determine whether the quadrilateral is a parallelogram, answer Yes or No below

Determine whether the quadrilateral is a parallelogram, answer Yes or No below

Answers

The quadrilateral is a parallelogram so it is Yes.

What are the properties of a parallelogram?

If a quadrilateral has a pair of parallel opposite sides, it’s a special polygon called parallelogram .The properties of a parallelogram are as follows:

The opposite sides are parallel and equal

The opposite angles are equal

The consecutive or adjacent angles are supplementary

If any one of the angles is a right angle, then all the other angles will be at right angle.

The quadrilateral is a parallelogram since the adjacent interior angles 75° and 105° are supplementary meaning they sum up to 180°

In conclusion, yes, the figure is a parallelogram.

Learn more about parallelogram: https://brainly.com/question/3050890

#SPJ1

find all the expressions that are equal to 4*10^-3

Answers

Answer:

Attached to this answer are some of the ways you could rewrite \(4*10^{-3}\)

find all the expressions that are equal to 4*10^-3

8. A square has a side length of 11 V2 meters. What is the length of the diagonal
of the square?

Answers

The length of the diagonal of the square is 22 meters.

Define square

A square is a four-sided two-dimensional geometric shape in which all sides are equal in length and all angles are right angles (90 degrees).It is a unique instance of a rectangle with equal sides. The opposite sides of a square are parallel to each other and the diagonals bisect each other at right angles.

A square is divided into two 45-45-90 triangles by its diagonal.

In a 45-45-90 triangle, the hypotenuse (the side opposite the right angle) is √2 times as long as each leg.

Therefore, in this square, the length of the diagonal (d) can be found by multiplying the length of one side (s) by √2:

d = s√2

In this case, the side length of the square is 11√2 meters, so:

d = 11√2 × √2 = 11 × 2 = 22 meters

Therefore, the length of the diagonal of the square is 22 meters.

To know more about rectangle, visit:

https://brainly.com/question/28993977

#SPJ1

question 1: find the area of a triangle whose vertices are (-2, 0), (-2, 6), and (5, 0).

answer choices are 9, 15, 21, or 42 (edit- the answer was 21)


question 2: if the measures of the angles in a triangle are in the ratio 3:4:5, the measure of an exterior angle of the triangle can not be

answer choices are 165, 135, 120, or 105

Answers

Can you post a picture of the triangle? it would make this way easier.

The angle by which AB turns clockwise about point B to coincide with BC is _ degrees. If from point B, a point E is drawn directly opposite point C so that B, E, and C are on the same straight line, the angle by which AB turns counterclockwise to coincide with BE is _ degrees.

Answers

The requried, to find the angle by which AB turns clockwise about point B to coincide with BC, we need to first identify points A, B, and C on a diagram.

What is the transformation of geometry over the coordinate plane?

Transform the shapes on a coordinate plane by rotating, reflecting, or translating them. Felix Klein introduced transformational geometry, a fresh viewpoint on geometry, in the 19th century.

Here,
To find the angle by which AB turns clockwise about point B to coincide with BC, we need to first identify points A, B, and C on a diagram. Once we have done that, we can draw a line from B to C, and then compare the direction of AB to the direction of BC. The angle between these two lines will be the angle by which AB turns clockwise to coincide with BC.

Similarly, to find the angle by which AB turns counterclockwise to coincide with BE, we need to identify points A, B, C, and E on a diagram. Once we have done that, we can draw a line from B to E, and then compare the direction of AB to the direction of BE. The angle between these two lines will be the angle by which AB turns counterclockwise to coincide with BE.

Learn more about transformation here:
brainly.com/question/18065245

#SPJ1

Write 2 2/7 as an improper fraction. Give your answer in its lowest terms.​

Answers

Answer:

16/2

Step-by-step explanation:

2 2/7  = 16/2

2 times 7 = 14 + 2 = 16/2

So, the answer is 16/2

Answer:

2 2/7 = 17/7

Step-by-step explanation:

The way I learnt it is that when you take 2 2/7 we just have to multply the denominator (7) by the whole number (2) which gives us 14 and then we have to add the numerator (2) which gives us our numerator which is 16 and the denominator stays the same meaning our answer would be 17/7. (It is the simplest form)

For what values of a does lim x→ar(x)=r(a) if r is a rational function?
Choose the correct answer below.
(a) Those values of a for which the denominator of the function r is not zero.
(b) Those values of a for which the numerator of the function r is zero.
(c) Those values of a for which the denominator of the function r is zero.
(d) Those values of a for which the numerator of the function r is not zero.

Answers

The correct answer is (d) Those values of a for which the numerator of the function r is not zero.

For a rational function r(x), the limit of r(x) as x approaches a can be determined by evaluating r(a) if the numerator of the function is not zero. This is because when the numerator is not zero, the limit of the function is defined and equal to the value of the function at that point.

However, if the numerator of the function is zero, then further analysis is required to determine the limit. In this case, the limit may be defined or undefined, depending on the behavior of the function as x approaches the point of interest.

In general, for a rational function, the limit exists and is equal to the value of the function at that point if and only if the numerator of the function is not zero at that point.

Learn more about numerator :

https://brainly.com/question/7067665

#SPJ4

Find the area of the shaded region in the following figures



solve any one ​

Find the area of the shaded region in the following figures solve any one

Answers

The area of the shaded region in the following figure (d) is 23 cm².

What is an area?

An area is the extent or measurement of a surface or region, typically measured in square units such as square inches, square feet, or square meters.

It is the amount of space occupied by a two-dimensional figure or shape.

We are going to solve ques (d).

given:- length of rectangle = 9cm ,width = 8 cm, radius of circle = 7 cm.

first we find the area of rectangle,

therefore, area of rectangle =l × b

= 9 cm × 8 cm

= 72 cm²

Now,area of circle = a²

= (7 cm)²

= 49 cm²

Area of the shaded region is =  area of square - area of circle

                                                = 72 cm² - 49 cm²

                                                = 23 cm²

To know more about area of circle visit:

https://brainly.com/question/11952845

#SPJ1

i need help oi would help me alot sorry i am putting it like this brainly is weird

i need help oi would help me alot sorry i am putting it like this brainly is weird

Answers

Answer:

ok so i dont care lol

Step-by-step explanation:

Answer:

The first one (1/6 divided by 1/2)

Step-by-step explanation:

Since Alice is splitting 1/6 of the box of cereal into 1/2, you need to divide.

Given a rectangle with width equal to (2x+1) units, length equal to (2x−1) units, and area equal to 35 square units, find the width of the rectangle.

Answers

Answer:

The width of the rectangle is 7 units

Step-by-step explanation:

Here, we want to find the width of the rectangle

Mathematically, the area of the triangle is length * width

(2x + 1)(2x-1) = 35

4x^2 - 1 = 35

4x^2 = 36

x^2 = 9

x = 3

Substituting 3 in 2x + 1

we have 2(3) + 1 = 6 + 1 = 7 units

The area of a trapezoid can be found using the expression
1/2h(b1+b2)
where h is the height and b1 and b2 are the lengths of the bases
a trapezoid has a height of 12 units and bases or (2x+3) and (3x+1).
which expression represents the area of the trapezoid?

answer options:
5x+4
6x+3
30x+42
60x+48

Answers

The area of the trapezoid is 30x + 42. Option C

How to determine the expression

The formula for calculating the area of a trapezoid is expressed as;

A = 1/2h(b1+b2)

Such that the parameters are enumerated as;

A is the areab1 and b2 are the bases of the trapezoidh is the height of the trapezoid

Now, substitute the values, we get;

Area = 1/2 × 12(2x + 3 + 3x + 4)

collect the like terms, we have;

Area = 6(5x + 7)

Expand the bracket, we get;

Area = 30x + 42

Learn more about area at: https://brainly.com/question/25292087

#SPJ1

what kind of operator is the = in the statement x = y + z

a. Assignment

b. Relational

c. Arithmetic

d. Logical

Answers

The = operator in the statement "x = y + z" is an assignment operator.The correct answer is option A.

In programming languages like C++, Python, Java, and many others, the = symbol is used to assign a value to a variable. It takes the value on the right-hand side (in this case, the sum of y and z) and assigns it to the variable on the left-hand side (x).

The assignment operator is fundamental in programming as it allows us to store and manipulate data by assigning values to variables.

The assignment operator is different from relational, arithmetic, and logical operators. Relational operators, such as == (equal to), > (greater than), < (less than), are used to compare values and return a Boolean result (true or false).

Arithmetic operators, like + (addition), - (subtraction), * (multiplication), / (division), perform mathematical operations. Logical operators, such as && (logical AND), || (logical OR), ! (logical NOT), are used to combine or negate Boolean values.

Therefore, the = operator in the statement "x = y + z" is an assignment operator, specifically used for assigning the value of the expression (y + z) to the variable x.

For more such questions operator,click on

https://brainly.com/question/20628271

#SPJ8

Find the result graphically. Click and drag the arrows to represent each term. Type in the result.
3+(-10)

Answers

The arrow is in -7 on the number line since 3 + (-10) = -7.

What is a number line?

A number line is a pictorial representation of numbers on a straight line.

It is a horizontal line that has equally spread number increments.

We have,

3 + (-10)

This can be written as:

= 3 - 10

= -7

We can draw a number line to represent graphically:

                         <↓-------(subtracting 10)-------------->

< ---------(-9)-(-8)-(-7)-(-6)-(-5)-(-4)-(-3)-(-2)-(-1)-0-1-2-3-4-5-6-7-8------------->

Thus the equation can be represented graphically with an arrow in -7 on the number line since 3 + (-10) = -7.

Learn more about number line here:

https://brainly.com/question/13425491

#SPJ1

Question 6: please help me out here :(((

Question 6: please help me out here :(((

Answers

Answer:

m∠1 = 106

Step-by-step explanation:

Given: m∠5 = 106

Vertical angles are congruent

The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent.

Therefore: m∠1 = 106

Round to the nearest tenth. I need help ​

Round to the nearest tenth. I need help

Answers

Answer:

118.0

Step-by-step explanation:

using Trigonometry,

\(x = 99tan(50) \\ = 118.0\)

What is the Pythagorean triplet whose one member is 14

Answers

Answer:

14, 48 and 50

Step-by-step explanation:

NEED HELP!; At Sunset Grove High School, 13% of students walk to school and 28% ride the bus. If the rest drive to school, what percentage of students at the high school drive to school?

A. 41%
B. 59%
C. 69%
D. 31%

Answers

Answer:

59% would be the answer.

Step-by-step explanation:

I believe this is correct, if not feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.

Find the sum of (x + 4) and (3x + 2) *

Answers

Answer:

4x+6

Step-by-step explanation:

(x+4)+(3x+2)

=x+4+3x+2

=4x+6

SOMEBODY HELP ITS 30 POINTS
The distance in miles a car travels over time in minutes is shown in the table.

Distance (miles)
Time (minutes)
10
15
20
30
30
45
40
60

Kwame is not sure whether to use a line graph or a line plot to display the data. Which best explains which graph is a better representation of the data?
The line graph because it shows how the number of miles increases over the number of minutes.
The line graph because the numbers in the data table are equally spaced.
The line plot because numbers can be plotted on a number line.
The line plot because there are only a few data points.

Answers

Answer:

The line graph because it shows how the number of miles increases over the number of minutes.

Step-by-step explanation:

ake it or leave it

The best explanation graph is a better representation of the data below: "The line graph because it shows how the number of miles increases over the number of minutes."

What is a graph?

A graph can be defined as a visual representation or a diagram that represents data or values.

The distance in miles a car travels over time in minutes is shown in the table.

Distance (miles)    Time (minutes)

    10                                 15

   20                                 30

   30                                 45

   40                                 60

A line graph is a good choice for representing data that show a change in value over time. In this case, the value being measured is the distance in miles traveled, and the time is being used as the variable. A line graph is a good choice because it can show the change in distance over time, which is what the data represents.

Hence, the correct answer would be an option (A).

Learn more about the graphs here:

brainly.com/question/16608196

#SPJ2

1.open intervals on which the function is increasing
2. open intervals on which the function is decreasing
3. open intervals on which the function is constant

Answers

The function is :

f(x)=3

Increasing: nowhere

Decreasing: nowhere

Constant:  (−∞,∞)

Increasing and Decreasing Functions:

A function is called increasing if the graph of the function goes up from left to right. A function is increasing when its derivative f′(x)>0. Similarly, a function is called decreasing if the graph of the function goes down from left to right. A function is decreasing when its derivative f′(x)<0. A function is called constant if the graph of the function is a flat horizontal line. A function is constant on an interval if f′(x) =0 on that interval.

To determine where all of the functions are increasing, decreasing, or constant, we will examine the derivatives of the functions.

The domain of this function is all real numbers

f(x)=3

f′(x)=0

Since the derivative is always zero, this function is constant everywhere.

Increasing: nowhere

Decreasing: nowhere

Constant:  (−∞,∞)

Learn more about Function at;

https://brainly.com/question/21145944

#SPJ4

The given question is incomplete, complete question is:

Determine the open intervals on which the function is increasing, decreasing, or is constant.

f(x) = 3

Which technique is most appropriate to use to solve each equation?

Drag the name of the technique into the box to match each equation.

Which technique is most appropriate to use to solve each equation?Drag the name of the technique into

Answers

The most appropriate technique to use to solve each equation is as follows:

x ² + 4 x = 15: Completing the square2x ( x - 3) = 0: Zero product property

How to solve the equations ?

When engaging in the process of completing the square, it is advisable to relocate the constant variable to the opposite side of the equation. Calculate the square of half of the coefficient of the term containing x. You can balance the equation by adding this numerical value to each side of it. Compute the square root for each end of the equation.

x ² + 4x = 15

x ² + 4x - 15 = 0

( x + 2) ² = 16

x + 2 = 4 or x + 2 = -4

x = 2 or x = -6

For the zero product property, Factor the left side of the equation. Set each factor equal to 0 and solve for x.

2x ( x - 3) = 0

2x = 0 or x - 3 = 0

x = 0 or x = 3

Find out more on the zero product property at https://brainly.com/question/1626209

#SPJ1

(x - 1)(x + 3) ≤ 0
how tol solve this algebric inequalities and how to show them in the number line ?

Answers

Answer:

refer to the attachment

(x - 1)(x + 3) 0 how tol solve this algebric inequalities and how to show them in the number line ?

Can someone help me??

Can someone help me??

Answers

Answer:

the answer is 100% d I'm sure

Answer:

$1.17

Step-by-step explanation:

change = 20 - (3.99(3) + 2.99(1) + 3.09(1) + 0.78)

            = 20 - (11.97 + 2.99 + 3.09 + 0.78)

            = 20 - 18.83

            = 1.17

g do you think that the model suffers from omitted variable bias and the estimate for age is unbiased? explain.

Answers

When a crucial variable is excluded from a regression model, the results are referred to as omitted variable bias.

Regression analysis frequently encounters the issue of omitted variable bias, which occurs when an important independent variable is left out of the model and affects the estimates of the coefficients for the included variables.

This happens because one or more of the included independent variables as well as the dependent variable may be correlated with the variable that was left out. As a result, the intercept and coefficients of the included independent variables may be overestimated or underestimated.

Based on prior knowledge and theory, researchers should carefully consider which variables to include in the model to address this issue. They should then test for potential correlations between the included and

Learn more about omitted variable bias:

https://brainly.com/question/26424928

#SPJ4

Other Questions
Ashley wants to empty her fish tankbefore she cleans it. The fish tank holds34 gallons. She is using a one-quartcontainer to empty the tank by hand.How many full containers will she needto empty the tank? in his speech about the fourth of july, how did frederick douglass critique the founding of the united states? Which of the following is consistent with an endothermic reaction that is spontaneous only at low temperatures? H>0,S>0,G Lessons on Linear and Non-linear text guide me to reflect on... describe the characteristics of an ideal enlightened ruler. do any of the eighteenth century rulers discussed in this section have the characteristics of an ideal ruler? If all possible rearrangements of the word REVISIONS are sorted alphabetically, the n-th word is VISIONERS. What is the remainder when n is divided by 100? in a regression analysis, a(n) is used to predict a(n) . a. ordinal variable, ratio variable b. independent variable, dependent variable c. nominal variable, independent variable d. response variable, explanatory variable what is ciliary body? a circle has radius of 10cm what is the area in m square. with explantion Briefly describe earthing system How far can a caterpillar; traveling at 0.06m/s, move in 60 seconds? Pleaseeee answer correctly !!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!! Explain well !!!!!!!!!!!!! Plssssssss Help!!!!! How are Platos divisions different from Athenian democracy? Why do some ladders have a white tip or reflective tape attached to the tip? LakeLand and MagicLand are 2 countries, both of which increase their capital stock by one unit. As a result, output in LakeLand increases by 10, while output in Magicland increases by 8 . Other things being equal, "diminishing returns" implies that LakeLand is poorer than MagicLand; if Lakeland adds yet another unit of capital, output will increase by more than 10 units poorer than MagicLand; if Lakeland adds yet another unit of capital, output will increase by less than 10 units richer than MagicLand; if Lakeland adds yet another unit of capital, output will increase by more than 10 units richer than MagicLand; if Lakeland adds yet another unit of capital, output will increase by less than 10 units Fund of Oper Mgmt Question:Layout can be really critical for a business, manufacturing orservice. Give us your example of a good or bad layout and tell uswhy. stephan average 32.3 points a game. lebron averaged 29.4 points a game . what was the difference between their average How do you solve economic equations when they add percentages like 200% & add another # with it? Alice wants to have a portrait painted of her family. What career pathway would be best for Alice to contact?BroadcastingPerforming ArtsPrinting TechnologyVisual Arts What percentage of respondents to the national crime victimization survey suggested that the offenders in their cases were believed to have been under the influence of alcohol?