The question is in the image i need the answer at least 2 mins after sending the question

The extreme value of this equation has a minimum at the point (2,5).

Quadratic equations are the polynomial equations of degree 2 in one variable of type f(x) = ax^2 + bx + c = 0 where a, b, c, ∈ R and a ≠ 0. It is the general form of a quadratic equation where 'a' is called the leading coefficient and 'c' is called the absolute term of f (x).

All of given options contain quadratic functions. One way to determine the extreme value is squaring the expression with variable x.

Option B contain the expression where you can see perfect square. Thus, equation  y =-3(x-2)^2+5  (choice B) reveals its extreme value without needing to be altered.

To determine the extreme value of this equation, you should substitute x=2 (then x value that makes expression in brackets becomes equal to zero) into the function notation:

y =-3(x-2)^2+5

substitute x = 2,

y =-3(2-2)^2+5

y =0+5

y =5

Therefore, The extreme value of this equation has a minimum at the point (2,5).

To learn more about extreme value visit here : brainly.com/question/12938843

#SPJ4

The extreme value of this equation has a minimum at the point (2,5).

Now, According to the question:

All of given options contain quadratic functions. One way to determine the extreme value is squaring the expression with variable x.

Option B contain the expression where you can see perfect square. Thus, equation :

y = [tex]-(x - 2)^2 + 5[/tex]

(choice B) reveals its extreme value without needing to be altered.

To determine the extreme value of this equation, you should substitute x=2 (x-value that makes expression in brackets equal to zero) into the function notation:

y = [tex]-(2 - 2)^2 + 5[/tex]

Hence, The extreme value of this equation has a minimum at the point (2,5).

Learn more about Quadratic Function at:

https://brainly.com/question/27958964

#SPJ4

The complete question is this:

Select the correct answer from each drop-down menu.

Consider the equations below.

Use the equations to complete the following statements.

Equation __ reveals its extreme value without needing to be altered. The extreme value of this equation has a ____ at the point (__,__ ).

The area of the given figure is 51.63 m².

Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.

In the given combination figure, there are three geometrical shapes rectangle, triangle and semicircle.

Now, in triangle base =3 m and height =5 m

So, area of a triangle = 1/2 ×Base×Height

= 1/2 ×3×5

= 7.5 m²

In rectangle length= 6 m and width =5 m

Area of rectangle = Length×Width

= 6×5

= 30 m²

In semicircle, radius =6/2 =3 m

Area of a semicircle = πr²/2

= 3.14×3×3/2

= 14.13 m²

Total area = 7.5+30+14.13

= 51.63 m²

Therefore, the area is 51.63 m².

Learn more about the area here:

https://brainly.com/question/27683633.

#SPJ1

Answer:

x > or equal to $440

Step-by-step explanation:

66,000/150=440

The amount of garbage thrown away each year by William's family, based on the details of the word problem, is 1.5 tons

A word problem is a presentation of a mathematical question using complete sentences, rather than symbols and numbers, and for which the solution is obtained by using mathematical methods.

The amount (mass) of recyclable material a person produces each month = 50 pounds

The people in William's family are; His mother, father, two sisters

The number of people in Williams family = 5

The amount of recyclable material Williams family throw away each month = 50 × 5 pounds = 250 pounds

The number of months in a year = 12 months

The amount William's family throw away in a year = 12 × 250 pounds = 3000 pounds

1 pound = 0.0005 tons

Therefore;

3000 × 1 pound = 3,000 × 0.0005 tons = 1.5 tons

Learn more on word problems here: https://brainly.com/question/14294864

#SPJ1

Answer:

Step-by-step explanation:

i think 1

Therefore , the solution of the given problem of algebra comes out to be the value of expression is 17.

Algebra is one of the numerous variables of mathematics. Algebra is, broadly defined, the study of numeric and the rules for employing them in formulae. It is a common theme that goes through practically all of mathematics. Algebra is the branch of mathematics that provides the most assistance in describing circumstances or issues through the use of formulas. In algebra, we use integers, such like 2, 7, 0.068, etc., which have a defined or definite value. Algebra slight changes like x, y, & z in addition to utilizing integers.

Here,

Given :

a= -2

b= 3

c = -3

so,

=> -a- 2bc - |c|

=> 2 -2*3*-3 - |-3|

=> 2 + 18 -3

=> 17

Therefore , the solution of the given problem of algebra comes out to be

the value of expression is 17.

To know more about algebra visit:

brainly.com/question/24875240

#SPJ1

Answer:

The number of apples

Step-by-step explanation:

It would need apples to multiply into 4 so i believe thats the right answer

The final value of the given expressions are:

1) 12√(33)c

2) 8√5 (3√2 + 8√3)

3) 3

4) -12√6

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

1)

√99c . √48c

√(9 x 11)x . √(16 x 3)c

3√11c . 4√3c

12√(11 x 3)c²

12√(33)c

2)

2√(80) ( √18 + 4√12 )

2 √(16 x 5) ( √(9 x 2) + 4√(4 x 3) )

2 x 4√5 ( 3√2 + 8√3 )

8√5 (3√2 + 8√3)

3)

(√2 - √5) . (-√2 - √5)

= -2 - √10 + √10 + 5

= 3

4)

√(48) x -√18

= √(16 x 3) x -√(2 x 9)

= 4√3 x -3√2

= -12√6

Thus,

The value of each of the expresssion is given above.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

Answer:

Step-by-step explanation: 40$

A drop of water is denser than a ping-pong ball.

Usually, water is made of particles that are firmly pressed together. In differentiation, plastic (the material ping pong balls are made of) may be a lightweight fabric and the particles are not as firmly stuffed together.

The thickness of a ping pong ball is 0.0840 g/cm³, though water’s thickness is 997 kg/m³. Subsequently, ping pong balls aren’t about as thick as water and will continuously coast and surface greatly quickly.

The ping pong ball appears to oppose gravity and coast within the air.

Ping-pong balls drift within the water since they are amazingly lightweight, empty, and filled with air. Too, the water’s surface pressure makes it simple for the ping pong ball to drift.

In expansion, water is denser than ping pong balls, making them look for the most noteworthy point of water.

Learn more about density at

brainly.com/question/15164682

#SPJ4

The sound which we hear when the pig pong ball is bounced on the floor

is 19.48 DB

The repeating of sounds, especially in rhyme, is the form of repetition that most people connect with poetry. Alliteration, assonance, and onomatopoeia are other sound patterns in poetry that give additional meaning in addition to rhyme. Every one of these audio elements has a certain purpose in a poem.

a) [tex]\sum \ log(n)[/tex]

by expanding the series for each value of n is

log (1) + log (2) + log(3) + log (4) + ......... + log ( 96)

simplify the expanded form we get

0 + 0.3010 + 0.4771+0.6020 ......................... + 1.982

=> 149.9963

b) [tex]\sum_{n=0}[/tex] to infinity [tex]\sqrt{0.9^n}[/tex]

formula for the sum of number in geometric progression

is  a/1-r

to find the ratio of the successive terms

plugging into the formula

r = [tex]\frac{a_{n+1}}{a_n}[/tex]

r = [tex]\frac{\sqrt{0.9^{n+1}} }{\sqrt{0.9^n} }[/tex]

=> r = [tex]\frac{\sqrt{0.9^n \times 0.9} }{\sqrt{0.9^n} .1}[/tex]

=> r = [tex]\frac{\sqrt{0.9} }{1}[/tex]

=> r = [tex]\sqrt{0.9}[/tex]

=> a = [tex]\sqrt{0.9^0}[/tex]

=> a = [tex]\sqrt{1}[/tex]

=>  a= 1

by applying the formula having the value a =1 is

[tex]\frac{1}{1-\sqrt{0.9} }[/tex]

rationalize the denominator by multiplying with [tex]1+\sqrt{0.9}[/tex]

=> [tex]\frac{1+\sqrt{0.9} }{(1-\sqrt{0.9} ) (1+\sqrt{0.9}) }[/tex]

=> 19.4868

To learn more about Sound :

https://brainly.com/question/30168219

#SPJ4

Answer:

5 Dance lessons

Step-by-step explanation:

The cost of taking x dance lessons is 50 + 20x dollars. This should be less than or equal to the amount of money Alexis has, which is 150 dollars. We can represent this relationship with the following inequality:

50 + 20x ≤ 150

This inequality can be simplified to the following:

20x ≤ 100

Dividing both sides of the inequality by 20 gives us the following:

x ≤ 5

Therefore, Alexis can take up to 5 dance lessons within her budget.

The GCF of 10c and 12d using the distributive property is 2.

The largest of all the common factors between any two or more numbers is known as the GCF (Greatest Common Factor).

A single term can be multiplied by the sum or difference of two or more other words according to the distributive property.  

According to Distributive property,

=> ab + ac = a(b + c)  

Where 'a' will be the GCF of ab and ac.

Here we have

10c and 12d    

By using the Distributive property,

=> 10c + 12d = 2 (5c + 6d)

Therefore,

The GCF of 10c and 12d using the distributive property is 2.

Learn more about Greatest Common Factor at

https://brainly.com/question/18994312

#SPJ1

We can simplify the given expression -6x - 12 + 8y + 16x to get:

10x - 12 + 8y

Here we want to simplify the expression below:

-6x - 12 + 8y + 16x

To simplify this we need to try to find common factors, the only common factor that we can see on the equation is "x", then we can rewrite the expression:

-6x - 12 + 8y + 16x

-6x + 16x - 12 + 8y

Now we can rewrite the first two terms as:

(-6 + 16)*x - 12 + 8y

10x - 12 + 8y

That is the simplified expression.

Learn more about the simplification of expressions at

https://brainly.com/question/723406

#SPJ1

The equation that represents the situation could be 3/4(18 + s) = 31.50 and the solution is s = 24 thus option (D) is correct.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

In another word, the equation must be constrained with some constraints.

Part (A)

Given that;

Cost of skirt = s

cost of blouse = $18

She bought it at 3/4 of that cost,

The Total pay = 3/4 of the total cost

3/4(18 + s) = 31.50

Part (B)

By the distributive property of multiplication then we get;

3/4(18) + 3/4(s) = 31.50

3/4(s) = 31.50 - 13.5

3/4(s) = 18

s = 18 x  4/3 = 24

Hence "The answer is s = 24"

For more about the equation,

brainly.com/question/10413253

#SPJ1

The slope(m) of the line that passes through the points (1, −3) and (3, −5) is m = -1.

The slope of a line determines the inclination of the line with the positive x-axis.

The slope of the line passing through (x1, y1) and (x2, y2) is given by m =(y2 - y1) / (x2 - x1)

Given that,

Here, (x1, y1) = (1, −3) and (x2, y2) = (3, −5)

m = (y2 - y1) / (x2 - x1)

m = [-5 - (-3)] / [3 - 1]

m = [-5 + 3] / [2]

m = [-2] / 2

m = -1

Slope = m = -1

Thus, The slope(m) of the line that passes through the points (1, −3) and (3, −5) is m = -1.

To know more about slope visit: brainly.com/question/3605446

#SPJ4

We can rewrite m^91 + 2m^90 as (m+2m^90)^2 - m^90.

We are looking for values of m such that m+2m^90 is an integer.

For m = 30, m+2m^90 = 30 + 230^90 = 30 + 2(30^90) = 60, which is an integer.

For m = 24, m+2m^90 = 24 + 224^90 = 24 + 2(24^90) = 48, which is also an integer.

For the other values of m, m+2m^90 is not an integer. Therefore, the only values of m for which m^91 + 2m^90 is the square of an integer are m = 24 and m = 30.

To build 60 birdhouses, Seth will need 40 boxes of nails

A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls. 0.25 are boys (by dividing 1 by 4)

Seth uses 20 nails for a birdhouse. This means that to build 60 birdhouses, Seth will need 60×20 = 1200 nails

In each box there are 30 nails;

This means that 1200 nails will contain 1200/30 boxes = 40 boxes.

Therefore the number of boxes of nails Seth will need to build 60 birdhouses is 40.

learn more about proportion from

https://brainly.com/question/19994681

#SPJ1

On solving the provided question, we can say that - the function value will be [tex]g(x) = -3 + 12x + 15[/tex] and

The topic of numbers, formulae and associated structures, forms and the areas where they exist, quantities and their variations, and spaces where they exist are all included in the field of mathematics. An association between a collection of inputs, each of which has an output, is known as a function. A function is, to put it simply, a relationship between inputs and outputs, where each input has a single, specific outcome. A domain and a codomain, or scope, are assigned to each function. Typically, f is used to represent functions (x). input is x. Four different sorts of functions are available. Based on the following items: One-to-one functions, many-to-one functions, on functions, one-to-one functions, and within functions.

Here,

[tex]y =a(x-x1)(x-x2),[/tex] y equals a(x-5)(x+1)

g(x) = -3(x-5)(x+1)

[tex]g(x) = -3(x-5)(x+1)[/tex]

g(x) = -3 + 12x + 15

y-intercept of g(x) is (0,15)

Therefore , the solution to the given problem of the equation comes out be  y-intercept of g(x) is (0,15).

To know more about function visit:

https://brainly.com/question/28193995

#SPJ1

The 4 examples of data types are Integer - a whole number that can be positive, negative, or zero. Float - a number with decimal points. String - text or characters. Boolean - a true or false value.

Data types are the different kinds of data that can be stored in a computer system. They are used to define the type of data a variable can hold.

The four most commonly used data types are Integer, Float, String, and Boolean.

An Integer is a whole number that can be either positive, negative, or zero. Integers are used for counting and manipulating whole numbers.

A Float is a number with decimal points. It is used for storing numerical values that require a more precise representation.

A String is a set of characters and text. It is used for storing textual information such as names and addresses.

A Boolean is a true or false value. It is used for evaluating logical expressions and making decisions based on certain conditions.

Overall, data types are used to specify the kind of information that a variable can store and to ensure that data is stored in a consistent and organized manner.

Learn more about datatype here

brainly.com/question/29977626

#SPJ4

Answer:

not sure

Step-by-step explanation:

not sure sqauredxfree bagdes

=answer

Answer: 25

Step-by-step explanation:

The actual value of the bill can either be $90 or $81 or $18 or $54 or $27 or $72 or $36 or $63 bill.

A digit is a part of a set that, when taken as a whole, makes up a numeration system. A digit is a number in that particular circumstance. The members of the set 0 through 9 make up the digits of the decimal (base-10) Arabic numbering system.

The bill of customer was mistakenly interchanged by $45.

The sum of the two digits of the bill is 9.

Now,

9 = 9 + 0 or,

9 = 8 + 1 or,

9 = 1 + 8 or,

9 = 5 + 4 or,

9 = 2 + 7 or,

9 = 7 + 2 or,

9 = 3 + 6 or,

9 = 6 + 3

Therefore, $45 bill can be mistakenly interchanged by $90 or $81 or $18 or $54 or $27 or $72 or $36 or $63 bills.

To Learn more about bill visit:brainly.com/question/16405660

#SPJ4

If a shopkeeper undercharges a customer by interchanging the digits of the bill by $45 and the sum of the digits is 9, then the actual value of the bill is 72 dollars.

Therefore the answer is $72.

Let the tenth and once place value digits of the actual value of bill be x and y. Then actual value of bill in dollars is expressed by

10x + y

The value of bill obtained by interchanging the two digits in dollars is

10y + x

It is said that by interchanging digits the shopkeeper undercharged him by $45.0, that is

(10x + y) - (10y + x) = 45

9x - 9y = 45

Dividing by 9

[tex]\frac{9x + 9y}{9} = \frac{45}{9}[/tex]

x - y = 5

He remembers that the sum of the digits is 9, that is

x + y = 9

Solving the system of equations

x + y = 9

x - y = 5

Adding the equations

(x + y) + (x - y) = 9 + 5

2x = 14

Dividing by 2

x = 7

Substituting x = 7 in first equation

7 + y = 9

y = 2

The actual value of the bill is

10x + y = 10×7 + 2 = 72

To know more on solving system of equations

https://brainly.com/question/21840646

#SPJ4

The difference in length between Mahi-Mahi and White Shark will be 14 feet 4 inches.

The expression has to do with the relationship between the variables that are provided or the data given regarding an information.

Since the length of Mahi-Mahi: 3 ft 8 in and the length Great White Shark: 18 ft. The difference in length will be:

= 18 - 3 feet 8 inches

= 14 feet 4 inches.

The difference in length is 14 feet 4 inches.

Learn more about expressions on:

brainly.com/question/723406

#SPJ1

Complete question

length of Mahi-Mahi: 3 ft 8 in.

length Great White Shark: 18 ft

What is the difference in length

The maximum possible outcome for the given situation is 36.

The number of favorable events to all the events in an experiment is the ratio that makes up the probability formula. Theoretical probability, Experimental probability, and Axiomatic probability are the three categories into which probability can be divided.

Given, Ruby is designing a new board game and is trying to figure out all the possible outcomes. she flips a coin, rolls a fair die in the shape of a cube that has six sides labeled 1 to 6, and spins a spinner with three equal-sized sections labeled Walk, Run, Stop.

Since there are three things happening simultaneously and favorable moments will be chosen by all three.

Thus Maximum possible outcome = 2 * 6 * 3 = 36

Therefore, For the given situation, 36 outcomes are available in total.

Learn more about the probability here:

https://brainly.com/question/13012411

#SPJ1

Answer:relative frequency table

Step-by-step explanation:

The graph would be a straight line with a slope of 4, passing through the origin.

The equation f(x) = 4x can be expressed in slope-intercept form as y = 4x + 0, where the slope is 4 and the y-intercept is 0. This means that the graph of f(x) = 4x is a straight line with a slope of 4 that passes through the origin (0, 0).

The graph of f(x) = 4x is a line with a positive slope that passes through the origin and extends infinitely in both the positive and negative directions. The y-intercept is 0 and the x-intercept can be found by setting y = 0 and solving for x, which gives x = 0. For any given x-value, the corresponding y-value can be found by substituting the x-value into the equation f(x) = 4x and solving for y. As x increases, y increases proportionally, so the graph represents a linear, increasing relationship.

Learn more about graph here

https://brainly.com/question/17267403

#SPJ4

The total number of ways to seat the people in a row such that John, Wilma, and Paul refuse to sit in three consecutive seats is 4320.

There are a few different ways to approach this problem, but one possible method is to use the principle of inclusion-exclusion.

We start by counting the total number of ways to seat the people in a row of chairs without any restrictions. Since there are n chairs, there are n! ways to seat the people in a row.

Next, we count the number of ways to seat the people in a row such that John, Wilma, and Paul are seated in three consecutive seats. Since there are n-2 chairs between the three chairs that John, Wilma, and Paul are not allowed to sit in, there are (n-2)! ways to seat the people in a row such that John, Wilma, and Paul are seated in three consecutive seats.

Finally, we use the principle of inclusion-exclusion to find the total number of ways to seat the people in a row such that John, Wilma, and Paul are not seated in three consecutive seats.

The total number of ways to seat the people in a row such that John, Wilma, and Paul are not seated in three consecutive seats is n! - (n-2)!

For example, if there are 7 chairs, the total number of ways to seat the people in a row such that John, Wilma, and Paul are not seated in three consecutive seats is 7! - (7-2)! = 5040 - 720 = 4320

So, the total number of ways to seat the people in a row such that John, Wilma, and Paul refuse to sit in three consecutive seats is 4320.

Learn more about inclusion-exclusion here: brainly.com/question/10927267

#SPJ4

3y + 2x = 44 is the equation of the line through (10, 8) and (4, 12).

A linear equation has the slope-intercept form y = mx + b. Variables in the equation are x and y. When x is 0, the integers m and b provide the line's slope (m) and the value of y. Because (0,y) is the location where the line crosses the y-axis, the value of y when x is 0 is referred to as the y-intercept.

Given, two coordinates of a line [tex]\left(10,8\right) and \left(4,12\right)[/tex]

The slope of the line formula is:

[tex]m = \frac{y₂ - y₁}{ x₂ - x₁}[/tex]

Let's substitute our numbers.

[tex]m = -\frac{8 -12}{4-10}[/tex]  =  -4/6

The GCF of these two numbers is 2

So, our slope  =  -2/3

The general equation of a line is y = mx +c

Therefore the equation of the line is y = -2/3x + c

Since, this line passes through ( 10, 8 )

Hence, it must satisfy these coordinates

8 = -2/3 * 10 + c

44/3 = c

Thus the equation of the line is y = -2/3x +44/3

the equation of the line is 3y + 2x = 44.

Therefore, The equation of the line that passes through (10, 8) and (4, 12) is 3y + 2x = 44.

Learn more about Line here:

https://brainly.com/question/30003330

#SPJ1

Answer:

Step-by-step explanation:

This should help

Answer:

Step-by-step explanation:

A spot height shows exact heights by a black dot with a number next to it. The number is the height above sea level in metres. Trig points or Triangulation Pillars are another way of spotting the top of a mountain on a map