is 333 is in the sequence 2,5,8,11,14...why​

Therefore , the solution of the given problem of quadratic equation comes out to be (x−1)(x+6).

The quadratic equation x ax2+bx+c=0 is an equations regression model in a single variable. a 0. According to the First Theorem of Algebra, this polynomial has at exactly one solutions because it is of second order. There could be simple or complex solutions. A four-variable equation is referred to as a quadratic equation. This implies that it must have at least one squared word. A typical formula for resolving math problems is "ax2 + bx + c = 0," where the numerical factors or constant a, b, and c stand in for the undefined variable "X."

Here,

Given : x²+5x+6

=> x²+bx+c.

Find two integers with the product c and the sum b.

Whose product in this instance is 6 and Whose summation is 5.

Put these integers to use in factoring the expression.

(x−1)(x+6)

Therefore , the solution of the given problem of quadratic equation comes out to be (x−1)(x+6).

To know more about quadratic equation visit:

https://brainly.com/question/30098550

#SPJ4

When cosx is negative and cotx is negative, an angle x lies in Quadrant II. Hence, the correct answer is B.

The correct answer is Quadrant II because the cosine and cotangent of an angle are related to the x- and y-coordinates of a point on the unit circle, respectively.

In Quadrants I and IV, the cosine function is positive, while in Quadrants II and III, it is negative. In Quadrants I and III, the cotangent function is positive, while in Quadrants II and IV, it is negative. This means:

Therefore, an angle x that satisfies both conditions of cos x being negative and cot x being negative must be in Quadrant II.

This question should be provided with answer choices, which are:

The correct answer is B.

Learn more about Trig Functions here: brainly.com/question/14361710

#SPJ4

The value of the expression will be:

9. 5(n + 5) = 5n + 25

10. -9(10 - 6r) = -90 + 54r

11. -6(m + 6) = -6m - 36

12. 3(4 - 6m) = 12 - 18m

An expression is simply used to show the relationship between the variables that are provided or the data given regarding an information.

The value of the expression will be:

9. 5(n + 5)

= (5 * n) + (5 × 5)

= 5n + 25

10. -9(10 - 6r)

= -90 -+ 54r

= -90 + 54r

11. -6(m + 6)

= -6m - 36

12. 3(4 - 6m)

= 12 - 18m

Learn more about expressions on

brainly.com/question/733406

#SPJ1

The question that can be answered by finding 4 1/2 ÷ 1/4 is this:

C. You are buying 1/4 pound containers of fruits at the store. How many containers do you need to buy to have 4 1/2 pounds of fruit?

The expression that is best represented by the question is statement C. Here, we are told to find how many containers we need to buy 4 1/2 pounds of fruit.

Let's assign the figure x to the number of containers we are to find. So,

1/4x = 4 1/2

Divide both sides by 1/4 to find x

x = 4 1/2 ÷ 1/4

Option C is the right answer.

Learn more about word problems here:

https://brainly.com/question/21405634

#SPJ1

The solution for given equations are: z = 4, b = -12, w = 5, c = -11

An equation is a mathematical statement that expresses the equality of two expressions.

Variables are symbols or letters used to represent unknown values in equations.

To solve for a variable, one must first isolate the variable by performing the same operations on both sides of the equation until the variable is alone on one side of the equation.

For example, if the equation is 2x + 4 = 10, the first step would be subtracting 4 from both sides of the equation to get 2x = 6. The next step would be to divide both sides of the equation by 2 to get x = 3. This is how one would solve for the variable in this equation.

According to question:-

A. 3(7z-6)=-(-18z+6)

21z - 18 = 18z - 6

3z = 12

z = 4

B. -8b+2(-5b-2)=212

-8b - 10b - 4 = 212

-18b - 4 = 212

b = -12

C. 4/5w+5 = 1/5w+8

4/5w-1/5w = 8-5

3/5w = 3

w = 5

D. (-c-8)-(7c-6)= 18c+284

-c-8-7c+6 = 18c + 284

18c + 8c = -2-284

26c = -286

c = -11

To know more about solving equations visit:

brainly.com/question/25678139

#SPJ1

The statement 7+5(x-3) = 22 is true for x = 6.

Finding the equation's solution is the concept of solving an equation. The value of the variable that may be used to verify the equation is known as a solution.

The same number added on both sides

Taking away the same amount from both sides

using the same integer on both sides when multiplying

using the same integer to divide into both sides

Here we have

7 + 5(x-3) = 22    

The above expression can be solved as follows

7 + 5(x-3) = 22      

Multiply 5 and (x - 3) terms

=> 7 + 5x - 15 = 22

=> 5x - 8 = 22        [ ∵ -15 + 7 = -8 ]    

Add 8 on both sides

=> 5x - 8 + 8 = 22 + 8

=> 5x = 30

Divided by 5 into both sides  

=> 5x/5 = 30/5

=> x = 6

Therefore,

The statement 7+5(x-3) = 22 is true for x = 6.

Learn more about Solving an equation at

https://brainly.com/question/20745180

#SPJ1

The radical form of the given expression 15x^(1/4) is equal to ( 15 ) × [tex]\sqrt[4]{x}[/tex].

As given in the question ,

Given expression is written as :

15x^(1/4)

Using th formula to conversion of the exponential form into the radical form in general form is given by:

( z )^ ( m / n ) = [tex]\sqrt[n]{z^{m} }[/tex]

in the given expression the value of :

z is equal to x

m is equal to 1

n is equal to 4

Now, Substitute the values  of the given variables in the formula of radical form we get,

15 x^(1/4)

= ( 15 ) ×  [x^(1/4) ]

= ( 15 ) × [tex]\sqrt[4]{x^{1} }[/tex]

Raising any variable or the number to the power one is always equal to same variable or the number itself.

=  ( 15 ) × [tex]\sqrt[4]{x}[/tex]

Therefore, the radical form of the given exponential form of the expression 11x^(1/4) is written as :  ( 15 ) × [tex]\sqrt[4]{x}[/tex].

learn more about radical form here

brainly.com/question/27272065

#SPJ4

Answer:

Below

Step-by-step explanation:

f(1)    -  2 = a(1) + b

        - 2 = a + b             (1)

f(5)     10 = a (5) + b

          10 = 5a + b            (2)

Multiply first underlined equation by -5  to get

      10 = -5a  - 5b       add this to the second equation (this will eliminate 'a')

      20 = - 4 b       so   b = -5

then the first equation becomes   - 2 = a +  (-5)

             which shows a = 3

so your function is just    f(x) = 3x  -5

Answer:

ok whats the question

Step-by-step explanation:

Answer: 52(4x+8) in simplified form is 208x + 416.

Step-by-step explanation:

To simplify 52(4x+8) we need to first use the distributive property, which states that:

a(b+c) = ab + ac

So, we can rewrite 52(4x+8) as:

52 * 4x + 52 * 8

Now we can just multiply the numbers:

52 * 4x = 208x

52 * 8 = 416

so the expression simplifies to:

208x + 416

So, 52(4x+8) in simplified form is 208x + 416.

Your friend's 80% average now represents 85% of the overall grade. This is because we are aware that the final, which is worth 15%, is the only thing left.

If your friend receives a 100 on the final, they will receive the highest possible course grade:

The following equation must be solved for "f," the result of the final test, in order to obtain a score of 75:

Therefore , the solution of the given problem of trigonometry comes out to be the reciprocal of both the cosine is the secant.

Trigonometry, a branch of mathematics, studies relationships between angles and sides of triangles. Trigonometric exists throughout all of geometry and can be reduced to a grouping of triangles from any horizontal form. Calculus, difficult or real trigonometry, algebra, and infinite series are only a few examples of the mathematics that are related to one another in a startlingly complex way.

Here,

The reciprocal of both the cosine is the secant. This is the fraction of a right triangle's hypotenuse towards the side closest to a particular angle.

The secant of slope in a right angled triangle is calculated by dividing the height of the y axis by the width of the neighboring side.

Thus, its fundamental formula is: sec X  =[tex]\frac{Hypotenuse}{Adjacent Side}[/tex]

Additionally, it is the cosine value's reciprocal.

Therefore , the solution of the given problem of trigonometry comes out to be the reciprocal of both the cosine is the secant.

To know more about trigonometry , visit

brainly.com/question/12068045

#SPJ4

Answer:

Step-by-step explanation:

The six types of triangles are: isosceles, equilateral, scalene, obtuse, acute, and right.

If a number is completely divisible by another number then the quotient will be a whole number and the remainder will be zero.

As the name suggests, divisibility tests or division rules in Maths help one to check whether a number is divisible by another number without the actual method of division.

Finding the product of two or more corresponding integers is done mathematically through the action of multiplication. It is frequently represented by the letters "x" or "*." In order to discover the result of multiplication, a multiplicand, also known as the multiplicand, is multiplied by a multiplier, also known as the multiplier. The result of the two integers, for instance, is 56 if the multiplicand and multiplier are both 8. A multiplication process always yields a greater number as the outcome than either of the initial factors. Multiply is also used to describe the process of adding a number to itself a certain number of times, as in "7 multiplied by 3 equals 21."

How to solve?

For instance, if the multiplication error is 8 x 7 = 56, then the matching division error  56/8 = 7, demonstrating that the result of the division is the other component that was used in the multiplication.

This connection is true for every multiplication and division problem as long as the numbers are utilised consistently in both operations.

To learn more about divisible, visit:

brainly.com/question/24327297

#SPJ4

The expression that represents the perimeter of the triangle is P = (106f² + 50g² + 85h² + 18fg + 90fh + 28gh) centimeters. This result is obtained by adding up the lengths of the three sides of the triangle.

A perimeter of a triangle is the sum of the side lengths of the triangle. It can be expressed as

P = a + b + c

Where

The side lengths of a triangle are

Find the perimeter!

P = a + b + c

P = (9f+g)(9f+g) cm + (5f+9h)(5f+9h) cm + (2h+7g)(2h+7g) cm

P = (81f² + 9fg + 9fg + g² + 25f² + 45fh + 45fh + 81h² + 4h² + 14gh + 14gh + 49g²) cm

P = (106f² + 18fg + 50g² + 90fh + 85h²+ 28gh) cm

P = (106f² + 50g² + 85h² + 18fg + 90fh + 28gh) centimeters

Hence, the perimeter's expression is P = (106f² + 50g² + 85h² + 18fg + 90fh + 28gh) centimeters.

Learn more about perimeter of a triangle here:

brainly.com/question/19214072

#SPJ4

Answer:

8g+11h+14f

Step-by-step explanation:

A 3 action sequence is a set of three actions that are related and follow one another in a logical order.

It is a technique used to break down complex tasks into smaller, more manageable steps. For example, if you want to cook a meal, a 3 action sequence could be: (1) gather ingredients, (2) prepare ingredients, and (3) cook meal. Each of these three steps is related and follows the one before it.

The 3 action sequence is a great tool for breaking down complicated tasks into more manageable parts. It can help you stay on track and keep focus when working on a task. It can also be used to create a timeline for completing a task, or to create a checklist of items that need to be completed.

Learn more about 3 action sequence here:

https://brainly.com/question/18151128

#SPJ4

1111 is not a prime number. It is a composite number, which means it can be factored into smaller integers. The factors of 1111 are 11 * 101. Prime numbers are numbers that are divisible by only 1 and itself. Only numbers that are greater than 1 and are not divisible by any other number except 1 and itself are prime numbers.

1, 11, 101, and 1111 are all divisors of the number 1111. A number must have exactly two elements in order to be deemed a prime number. 1111 is not a prime number since it has more than two components, namely 1, 11, 101, and 1111.

Learn more about a prime number here:https://brainly.com/question/145452

#SPJ4

Answer: I don't speak spanish

Step-by-step explanation:

Answer: To solve the equation 4x^2 + 5 = 6 by factoring, we need to start by isolating x^2 on one side of the equation.

We have:

4x^2 + 5 = 6

subtracting 5 from both sides:

4x^2 = 1

Dividing both sides by 4:

x^2 = 1/4

Taking the square root of both sides:

x = ± √(1/4)

x = ± 1/2

So the solutions are x = 1/2 or x = -1/2.

It's important to note that we can't factor any x^2 term as it's a squared term and it's not possible to factor it out with any integer or variable.

The second ship's route also goes through another site, which is (0, 44)

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively.

The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope.

In the coordinate plane, it describes the slope of the line.

Finding the slope between two separate points and calculating the slope of a line are related tasks.

In general, we require the values of any two separate coordinates on a line in order to determine its slope.

According to our question-

Parallel lines have equal slopes.

Therefore,

m₁ = m₂

The equation for one ship's trajectory is

y = - 13x + 4

utilizing the slope-intercept model

y = mx + b

m = -13

slope = -13

The second vessel sails by the points (3, 5). The second argument could be

located below. Remember that they share a slope.

Therefore,

y = -13x + b

using (3, 5) b, the following is obtained:

5 = -13(3) + b

5 = -39 + b

5 + 39 = b

b = 44

The second ship's equation will be as follows:

y = -13x + 44

y = -13(0) + 44

y = 44

The key could be (0, 44)

learn more about slope click here:

https://brainly.com/question/16949303

#SPJ4

A sentence for the equation 4m=52 is,

B) Four times m is equal to fifty-two.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

Here, given that,

4m=52

i.e. we have,

4×m = 52

Hence, A sentence for the equation 4m=52 is,

B) Four times m is equal to fifty-two.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ1

Answer: In a triangle, the sum of the angles is 180 degrees. Therefore, if we know two of the angles, we can use this property to find the measure of the third angle.

In this case, we are given angle B = 27 degrees and we want to find the measure of angle C. We can use the following equation to find angle C:

Angle B + Angle C + Angle A = 180

27 + Angle C + 90 = 180

Angle C = 180 - 27 - 90

Angle C = 63 degrees

Additionally, we can use the Law of Cosines to find the measure of angle C.

c² = a² + b² - 2ab * cos(C)

c² = 28² + 18² - 2 * 28 * 18 * cos(C)

c² = 784 + 324 - 1008 * cos(C)

c = √(1108 - 1008*cos(C))

We know that cos(C) = (a² + b² - c²) / 2ab

cos(C) = (784 + 324 - c²) / (22818)

We can substitute the value of c² that we obtained from the first equation and find cos(C) and thus angle C.

So the measure of angle C is 63 degrees.

Step-by-step explanation:

Equation represents the comet's orbit [tex]\frac{x^{2} }{100} -\frac{(y-6)^2}{64} =1[/tex], So correct option is C.

A coordinate plane, also known as a Cartesian plane, is a two-dimensional surface that is used to graph points, lines, and shapes. It is named after the mathematician René Descartes, who is credited with inventing the system in the 17th century.

The coordinate plane is divided into four quadrants by two perpendicular lines called the x-axis and y-axis. The point where the two axes intersect is called the origin and is assigned the coordinates (0,0). The x-axis runs horizontally and is used to measure values along the horizontal (or "x") direction, while the y-axis runs vertically and is used to measure values along the vertical (or "y") direction.

Each point on the coordinate plane can be represented by an ordered pair of numbers, called coordinates, that indicate its position in relation to the x- and y-axes. The coordinates of a point are written as (x, y), where x is the point's distance from the y-axis and y is the point's distance from the x-axis.

The equation that represents the comet's orbit is:

[tex]\frac{x^{2} }{100} -\frac{(y-6)^2}{64} =1[/tex]

This is the standard equation for a hyperbola in the center form, where the center is at (0,6), the distance between the center and the vertex is 8 and the distance between the center and the focus is 2.

To know more hyperbola  visit:

https://brainly.com/question/28989785

#SPJ1

The intersection of plane TUYX and plane VUYZ is found as UY.

For the stated question-

According to the supplied figure, TUYX is one side of both the rectangular prism while UVYZ is its opposite side.

One edge, which is represented by the line segment UY, has both sides intersecting perpendicularly.

It is depicted in the figure.

Thus, UY is the line that intersects as a result.

To know more about the intersection of plane, here

https://brainly.com/question/12227980

#SPJ1

The correct question is attached.

Answer:

36 square units

Step-by-step explanation:

The figure is made up of a rectangle above with length 6 and width 4.

The bottom part is a triangle with a base of 6 and a height of 4.

total area = area of rectangle + area of triangle

total area = LW + bh/2

total area = 6 × 4 + 6 × 4/2

total area = 24 + 12

total area = 36

Answer:

36 square units

Step-by-step explanation:

We can split the given figure into two familiar figure by drawing a line segment as shown in the attached figure

This splits the composite figure into a rectangle at the top and an inverted triangle at the bottom

The rectangle has a length(horizontal portion) of 6 units and a width(vertical portion) of 4 units

Area of rectangle = length x width = 6 x 4 = 24 square units

The triangle has a base of 6 units and a height of 4 units

Area of rectangle = 1/2 x base x height = 1/2 x 6 x 4 = 1/2 x 24 = 12 square units

Area of figure = 24 + 12 = 36 square units

The evaluation of the algebra tiles are as follows;

A) The area of the algebra tiles is; 2·x² + 3·x

The perimeter of the tiles is; 6·x + 6

B) If the algebra tiles were rearranged, the area remains 2·x² + 3·x

Algebra tiles are figures that can be manipulated to help explore and understand concepts such as expanding algebraic expressions, factoring expressions, and equations.

Please find attached the possible shape in the question created with MS Word.

A) The area of the of the shape is the sum of the areas of the individual shapes, which are found as follows;

The perimeter is the sum of the width and lengths of the rectangles as follows;

The width of the rectangle with area x = 1 unit

The width of the boxes with area x² = x

The length of the sides of each rectangle = x unit

The perimeter, P, of the figure is therefore;

B) The area of the each of the algebra tiles remain the same when the tiles are rearranged, such that the area, of the new shape, which is the sum of the areas of the individual tiles remain the same.

Learn more on algebra tiles here: https://brainly.com/question/26414942

#SPJ1

The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in familiar algebraic notation, a2 + b2, are equal to the squares on the legs.

Greek philosopher Pythagoras made significant contributions to mathematics, astronomy, and music theory. Although the Babylonians were aware of the theorem 1000 years prior to Pythagoras, he may have been the first to demonstrate it.

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides, according to a theory put forth by Pythagoras.

To know more about hypotenuse visit:-

brainly.com/question/12156590

#SPJ1

Answer:

3.here,tan45°=10/n

or,1=10/n

:.n=10

Now from Pythagoras theorem,

m²=(10)²+n²

or,m=√100+100

:.m=10√2

*mark me brainliest

28) The constant of proportionality is (k = 2)

29) x and y do not change in the same way

30) The constant of proportionality (k = 5/xy)

x = 2y shows direct variation because as x increases, y also increases and as x decreases, y also decreases. The constant of proportionality, also known as the "k" value, is 2, it represents the ratio of x to y. (k = 2)

y - x = 6 does not show direct variation because the relationship between x and y is not constant, x and y do not change in the same way.

xy = 5 shows direct variation because as x increases, y also increases and as x decreases, y also decreases. To find the constant of proportionality, we can divide both sides by xy.

k = 5/xy

In this case, the constant of proportionality is not a fixed value, it is a variable depending on the values of x and y. It represents the ratio of xy to the product of x and y.

To know more about constant of proportionality visit: https://brainly.com/question/22620356

#SPJ1

The angle which would be tangent  a 90 degree in the given diagram would be ∠JYQ, ∠JYW  , ∠FYG and ∠FHG

A circle's tangent is a single-pointed line that intersects the circle. The point of tangency is the location where the circle and the tangent cross. The circle's radius, where the tangent touches it, is perpendicular to it.

Therefore, JY is perpendicular to QW which means

∠JYQ=∠JYW=90 degrees

Since, J is the center of circle and GF is diameter, there is a theorem which says that angle substended by diameter at any point of circle is 90 degree.

Therefore, ∠FYG =∠FHG=90 degrees.

Hence, ∠JYQ, ∠JYW  , ∠FYG and ∠FHG are all the equal to 90 degree.

To know more about tangent visit https://brainly.in/question/5149349

To know more abut the tangent visit :

https://brainly.com/question/19064965

#SPJ1