For what value of k is 3x² 2kx 27?.

Quadratic equations in factored form can be solved by using the Zero Product Property, which states that if the product of two numbers equals zero, then at least one of the values must also equal zero.

The Zero Product Property can be used to resolve any factored quadratic equation, such as (a + b)(a b) = 0. In accordance with the zero product property, if a+b=0, then either an or b must also be equal to zero. This essential characteristic allows us to solve equations like (x+2)(x-5)=0.

The zero product property states that if two quantities are added together and the result is zero, then one or both of the individual quantities must also be zero. You can solve this problem by rewriting it as (x + 3) (2 x 1) = 0.

Learn more about quadratic equation Visit: brainly.com/question/1214333

#SPJ4

Answer:

(x - 5)² + (y + 3)² = 9

Step-by-step explanation:

The standard equation of a circle with center (a, b) and radius r is given by

(x - a)² + (y-b)² = r²

Here the center is (5, -3) and r = 3

Substituting values for a = 5, b = -3 and r = 3

(x - 5)² + (y-(-3))² = 3²

(x - 5)² + (y + 3)² = 9

It is OK to leave it in this form without expanding

The commutative property and associative property do not hold for subtraction and division, as the end results are completely different after changing the order of numbers.

The commutative property deals with the arithmetic operations of addition and multiplication. It means that changing the order or position of two numbers while adding or multiplying them does not change the end result.

For example, 4 + 5 gives 9, and 5 + 4 also gives 9. The order of two numbers being added does not affect the sum. The same concept applies to multiplication too.

Thus, The commutative property and associative property do not hold for subtraction and division, as the end results are completely different after changing the order of numbers.

To know more about commutative property visit: brainly.com/question/778086

#SPJ4

We need AC ≅ XZ to show that triangle ABC ≅ triangle XYZ by ASA congruence of triangle.

What is ASA congruence of triangle?

The two triangles are considered to be congruent according to the ASA rule if any two angles and the side located between the angles of one triangle are equal to the corresponding two angles and side located between the angles of the second triangle.

We are given the following:

1. ∠A ≅ ∠X

2. ∠C ≅ ∠Z

Now, in order to show the triangles as congruent by ASA congruence of triangle, we need the side which is in between both the angles.

The sides in between both the angles are AC and XZ.

Hence, we need AC ≅ XZ to show that triangle ABC ≅ triangle XYZ by ASA congruence of triangle.

Learn more about ASA congruence of triangle from the given link

https://brainly.com/question/9513034

#SPJ1

Answer:

1/32

Step-by-step explanation:

5 counters, 1/2 chance of it being yellow, therefore...

[tex](\frac{1}{2})(\frac{1}{2})(\frac{1}{2})(\frac{1}{2})(\frac{1}{2}) = (\frac{1}{32})[/tex]

The height of the wheel is 63 centimeters that is the diameter of the circular wheel.

Given data :

a) The height of the wheel is 63 centimeters that is the diameter of the circular wheel.

b) The distance traveled by the wheel when it goes all the way around one time is 198 centimeters that is the perimeter of the circular wheel.

c) The distance traveled by the wheel when it goes all the way around one time is the perimeter  of the circle. To estimate the value of t, divide the distance  traveled by the wheel when it goes all the way around by its height.

Completed question :

A bicycle wheel is 63 centimeters from top to bottom. When the wheel goes all the way

around one time, the bicycle travels 198 centimeters. How can this information be used to

estimate the value of ?

63 cm

Click the arrows to choose an answer from each menu.

Because the wheel is circular, the height of the wheel is the Choose...

of

the circle. The distance traveled by the wheel when it goes all the way around one time is the

Choose...

of the circle. To estimate the value of t, Choose... the distance

traveled by the wheel when it goes all the way around by Choose...

y

Learn more about distance refer to :

https://brainly.com/question/26046491

#SPJ4

Equivalence relations are important in maths because of the following parts,

A relation R on a set A is called an equivalence relation if and only if the relation R is recursive, symmetric, and transitive. An equivalence relation is a relation on sets, and is generally represented by the symbol “~”. For example: "Equal to (=)" is the equivalence relation on any set of numbers A for all elements a, b, c ∈ A,

Reflexive: a = a ,

Symmetric: a = b ⇒ b = a and

Transitive: a = b, b = c ⇒ a = c.

This means that (=) is recursive, symmetric, and transitive. Equivalence relations are used in several areas of mathematics.

does not satisfy || f || = 0 <=> f=0.

To learn more about equivalence relation , refer:

https://brainly.com/question/13098676

#SPJ4

Complete question:

Why is equivalence relation important in maths?.

The number of hats Sara bought is 7.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Sarah went shopping at a store and bought some hats that cost $6 each and 2 necklaces that cost $12 each.

The number of hats will be calculated as,

12N + 2H = 66

12 x 2 + 2 H = 66

2H = 66 - 24

2H = 42

H = 42 / 2

H = 21

To know more about an expression follow

https://brainly.com/question/19577202

#SPJ1

Answer:

it's 8

Step-by-step explanation:

I find it because 96÷8=12

and 64÷8=8

The range of the function FX = -2(6x) + 3 is [-3, +∞).

First, let's simplify the equation.

FX = -2(6x) + 3

FX = -12x + 3

To determine the range of the function, start by graphing the equation.

The graph will be a line with a slope of -12 and a y-intercept of 3.

To find the range, we need to determine the y-values of the graph as x-values increase. Since the slope is negative, the y-values will decrease as x-values increase.

The range of the function is all real numbers less than or equal to 3.

Therefore, the range of the function FX=-12x+3 is all real numbers less than or equal to 3.

To know more about the range function visit:

https://brainly.com/question/21027387

#SPJ4

The value of x is -3 for the given equation.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression 4 *3 + 4*x = 0

Simplify the equation using PEMDAS

=> 4*3 + 4*x = 0

=> 12 + 4x = 0

=> 4x = -12

=> x = -3

Therefore, the simplified value of the Given equation is x = -3.

Learn more about expression here:

https://brainly.com/question/23246712

#SPJ1

Answer:

x > 10.4

Step-by-step explanation:

Isolate X by adding 3.5 to each side of the inequality

That leaves you with x > 6.9 + 3.5

The circumcenter of the triangle is at the point (22, 36). This is the point where the three thin strips of wood cross and where Mike attached the kite's string.

The point of concurrency of the lines perpendicular to the sides of a triangle is known as the circumcenter of the triangle. To find the circumcenter of a triangle with vertices at (x1, y1), (x2, y2), and (x3, y3), you can use the following formula:

x = (x1 + x2 + x3) / 3

y = (y1 + y2 + y3) / 3

Plugging in the coordinates of the three vertices, we get:

x = (0 + 44 + 0) / 3 = 22

y = (58 + 36 + 0) / 3 = 36

So the circumcenter of the triangle is at the point (22, 36).

To know more about the circumcenter visit:

https://brainly.com/question/28912364

#SPJ1

A polynomial of degree 3 is called a cubic polynomial.

A polynomial is described as an expression that consists of variables, constants, and exponents, which might be mixed with the use of mathematical operations along with addition, subtraction, multiplication, and department (No division operation by a variable).

In arithmetic, a polynomial is an expression that includes indeterminates and coefficients, that entail best the operations of addition, subtraction, multiplication, and fine-integer powers of variables. An instance of a polynomial of an unmarried indeterminate x is x² − 4x + 7.

Polynomials are sums of phrases of the form k⋅xⁿ, in which okay is any wide variety and n is a positive integer. for example, 3x+2x-5 is a polynomial. advent to polynomials.

To learn more about Polynomials visit here:

brainly.com/question/11536910

#SPJ4

The amount of water to add is 45 grams

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

Sugar = 15 grams

Proportion of syrup = 25%

So organizing the information given in the statement we have that:

In this way, we can calculate the missing value for this percentage as:

25% of x = 15 grams

Express as decimal

So, we have

0.25 * x = 15

Divide both sides by 0.25

x = 60

This means that the total amount is 60 grams

If the syrup contains 25% of sugar, then 75% would be water (assume no other item is present)

So, we have

Water = 75% * 60g

Water = 45g

Hence, the amount is 45 grams

Read more about percentage at

brainly.com/question/8011401

#SPJ1

Answer: 45 g of water

Step-by-step explanation:

There are a lot of linear solutions to problems. In fact, there are an infinite number of them.

Linear solutions are the most common type of solution. They're also the easiest to solve. These solutions are used in algebra and geometry. There are six different types of equations in which a linear solution exists. These are:

1) One variable equals zero

2) Two variables are equal

3) Three variables are equal

4) Any equation with one constant and one other variable

5) Two variables have an equal ratio to another variable

6) Two variables are equal to a certain number One solution that's linear is a quadratic equation with two variables. It has the form x2 + bx + c = 0 To solve this equation, you can use basic algebraic skills like factorization, substitution, and addition.

Learn more about linear solutions at

https://brainly.com/question/7718604

#SPJ4

Answer:

7 < x < 11

Step-by-step explanation:

Answer:

I believe the first one

Step-by-step explanation:

After solving, the remainder when [tex]-x+3x^2-1[/tex]  is divided by x + 1 is 3.

In the given question, we have to find the remainder when [tex]-x+3x^2-1[/tex]  is divided by x + 1.

The given polynomial is [tex]-x+3x^2-1[/tex].

We have to find the remainder of the polynomial when we divide this polynomial x + 1.

To find the polynomial we equate x+1 equal to zero to find the value of x.

x + 1 = 0

x = -1

Now putting x = -1 in the given equation [tex]-x+3x^2-1[/tex].

P(x) = [tex]-(-1)+3(-1)^2-1[/tex]

P(x) = 1 + 3×1 - 1

P(x) = 1 + 3 - 1

P(x) = 3

Hence, the remainder when [tex]-x+3x^2-1[/tex]  is divided by x + 1 is 3.

To learn more about finding the remainder link is here

brainly.com/question/19905209

#SPJ4

The complete question is:

When [tex]-x+3x^2-1[/tex]  is divided by x + 1 then remainder will be?

Answer:

I'm sorry, but the formula you provided "F G )( X" is not a valid mathematical notation, it doesn't make sense in mathematical or scientific context. Please provide more information or context about the formula or correct the formula if it has any typo.

Answer: A or C i would go with C but ur instict

Step-by-step explanation:

Answer:

A or C

Step-by-step explanation:

Good Luck!

Answer:150

Step-by-step explanation:

suppose he asks 300 and only 1/2 say yes,

Answer:

the answer is A because you can know

Answer:

Points B, C, and D are on line n

Step-by-step explanation:

Answer:

лттьло. ьнеь е екбюедку к е. еккд

According to the information, the correct option is C. . 4x^2 − 13x + 9, since the expression is a polynomial.

To add the expressions we must add each of its components (those that are similar) to form a single expression. Below is the procedure:

Now we must reassemble the expression that would look like this.

4x^2 - 13 + 9. Additionally, we know that it is a polynomial because none of the terms related to x are affected by a square or fractional root.

Learn more about polynomials in: https://brainly.com/question/11536910

#SPJ1

Answer:

a

Step-by-step explanation:

Answer:

Step-by-step explanation:

NOOOOOO FIGURE IT OUT YOUR SELF THATS WHY THEY TEACH YOU DUHHHHHHHHHHHHH

The equation -x² + 3x - 3 = 0 has the sum of the roots as 3. Given that a quadratic equation's roots add up to three.

A quadratic polynomial in terms of the zeroes (α,β) is given by

x2 - (sum of the zeroes) x + (product of the zeroes)

f(x) = x2 -(α +β) x +αβ

From the options,

A) 2x² - 3x + 6 = 0

Dividing by 2,

x² - 3/2x + 3 = 0 ------------------ (2)

Comparing (1) and (2),

α + β = 3/2

Therefore, the sum of the roots of the equation is 3/2.

B) -x² + 3x - 3 = 0

The equation can be written as x² - 3x + 3 = 0 ------------- (3)

By comparing (1) and (3),

α + β = 3

Therefore, the sum of the roots of the equation is 3.

C) √2x² - 3/√2x + 1 = 0

Dividing by √2,

x² - 3/2x + 1/√2 = 0 ------------ (4)

By comparing (1) and (4),

α + β = 3/2

Therefore, the sum of the roots of the equation is 3/2.

D) 3x² - 3x + 3 = 0

Dividing by 3,

x² - x + 1 = 0 -------------------------- (5)

By comparing (1) and (5),

α + β = 1

The equation's roots are added together, and the result is 1.

To know more about the quadratic polynomial visit:

https://brainly.com/question/22816139

#SPJ4

The probability that both cards are sevens is 0.0044
What is probability?

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

There are 52 cards, 4  are sevens.  

So the probability of picking the first 7 is 4/52.  

If you don't replace the card, then there are only 51 cards left, 3 of which are sevens.

So the probability of picking a seven on the second draw is 3/51.  

The probability of picking sevens on both draws is:

P(picking two sevens) = (4/52)·(3/51) =0.076*0.058=0.0044

To learn more about the probability from the given link

https://brainly.com/question/24756209

#SPJ1

The graph of the linear equation:

y = -x + 4

can be seen on the image at the end.

Here we want to graph the following linear function:

y = -x + 4

To graph it, we need to find two points that lie on that line, and to get that we need to evaluate the line.

When x = 0.

y = -0 + 4

y = 4

So we have the point (0, 4)

When x = 2

y = -2 + 4

y = 2

So we have the point (2, 2)

Now we just need to graph these two poins and connect them with a line, we will get:

The vertex, zeros, and y-intercept for the given quadratic equation f(x)=       -x² - 4x+5 are respectively,

Vertex- (2, 1)

Zeros-  (2 + i)

Y-intercept- 5

An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.

For example, 3x+2y=0.

Types of equation

1. Linear Equation

2. Quadratic Equation

3. Cubic Equation

Given that,

f(x) = y =  -x² - 4x+5

y = -x² - 4x+5

For making it perfect square, we can add and subtract square value of half of coefficient of x

So,  adding and subtracting +4 and -4 in the given equation

y = -x² - 4x+5+4-4

  = -x² - 4x+4+5-4

  = (-x +2)² +1

y-1 = (-x +2)²

So, for vertex

-x +2 = 0

x = 2

y-1 = 0

y = 1

For Zeros, y = 0

y-1 = (-x +2)²

(-x +2)² = -1

x = 2 + i,   -2-i

the zeros are imaginary

For y intercept, x = 0

y-1 = (-x +2)²

y   = 1 + (2)²

y   = 5

Hence,  vertex, zeros, and y-int. are respectively (2, 1), (2 + i), 5

To know more about Equation check:

https://brainly.com/question/1529522

#SPJ1