Please answer!!
No links
Picture is included

Answer:

The function is defined for all real numbers.

which can be denoted as >> R

Answer:

J+11=M

Step-by-step explanation:

What ever age MAcy is Josie is 11 years older than Macy I think the equation is correct sometimes  I struggle with those.

Answer:

shown below

Step-by-step explanation:

we know right triangle formula that a² + b² = c²

where  a is opposite, b is adjacent and c is hypotenuse

so, here a = (x + 6) , b  = (x -1) , c = (2x + 1)

(x + 6)² + (x -1 )² = (2x + 1)² ............simplify

x²+12x+36 + x² -2x +1 = 4x² + 4x +1 ...............collect terms

2x² + 10x+ 37 = 4x² + 4x +1  ...............add them

-2x² + 6x + 36 = 0  ................bring them to one side and subtract and add

-2(x²-3x-18) = 0  .........take -2 as coefficient

x²-3x-18 = 0 ...........our final result

Therefore shown that x²-3x-18 = 0

Hey there mate ;),

Let's crack this question now!

Given: x²-3x-18=0

So,

\((2x + 1)^{2} = (x + 6)^{2} + (x - 1)^{2} \)

\( = > 4 {x}^{2} + 4x + 1 = {x}^{2} + 12x + 36 + {x}^{2} - 2x + 1\)

\( = > 4 {x}^{2} + 4x + 1 = 2 {x}^{2} + 10x + 37\)

\( = > 4 {x}^{2} - 2 {x}^{2} + 4x - 10x + 1 - 37 = 0\)

\( = > 2 {x}^{2} - 6x - 36 = 0\)

Now, by taking 2 as common factor, we get:-

\( = > {x}^{2} - 3x - 18 = 0\)

The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.

     *look at the image I attached for a better explanation

By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation

    \(?^2+6^2 = 10^2\\?^2 + 36 = 100\\?^2 = 64\\? = 8\)

Thus the missing side length is 8 cm

Hope that helps!

Each step of this theorem is proved below.

Given that,

S is finite,

Now enumerate all of its elements as x₁, x₂,..., x\(_{n}\).

According to the cancellation rule,

This product is independent of the order of the factors.

As a result, we can define the identity element e as this product.

It is simple to demonstrate that e meets the criteria of an identity element.

Now, let's show that every element of S has an inverse.

Let a be any element of S. Consider the set {a, a, a, ...}.

Since S is finite,

There exist positive integers m and n such that

am = an   for some m > n.

By the cancellation law,

We can cancel a power of a from both sides to get a\({(m-n)}\) = e.

This means that a has an inverse, and we can conclude that S is a group.

Consider the set of all positive integers under addition, except 1, as an example of an infinite semigroup in which the cancellation laws hold but which is not a group.

This set clearly meets the cancellation laws, but it does not have an inverse for every element, because the inverse of 2, for example, is not an integer.

As a result, this is not a group.

To learn more about cancellation law visit:

https://brainly.com/question/31328698

#SPJ1

For the function \(f(x) = 5x^3 - ax^b\) to be odd (a) b must be an odd whole number.

If f(-x) = f(x) then the function is even and symmetric about the x-axis.

If f(-x) = -f(x) The function is odd and symmetric about the origin.

Given, \(f(x) = 5x^3 - ax^b\) is an odd function.

Now, for the function to be odd b must be an odd whole number

because we know an odd number raise to the power even or odd is an odd number.

learn more about odd and even functions here :

https://brainly.com/question/9854524

#SPJ1

Answer:

a

Step-by-step explanation:

wht not

Answer:

Step-by-step explanation:

2x - 10 + 65 - x = 90

x = 90 + 10 - 65

x = 100 - 65

x = 35

----------------------------

check

2 * 35 - 10 + 65 - 35 = 90

70 - 10 + 65 - 35 = 90

90 = 90

the answer is good

2x-10+65-x=90

x+55=90

x=90-55

x=35

Answer:

48x>+2

Step-by-step explanation:

Answer:

Step-by-step explanation:

3/4 of 16 would be 1/4 of 16 times 3.

So 1/4 of 16 is 4, and 4 x 3 = 12.

The equation y = \(-0.024x^2\) + 0.0791x + 4.873 represents a quadratic function with a downward-opening parabol

The given expression is a quadratic equation in the form y = -0.024x^2 + 0.0791x + 4.873. Let's analyze its components and characteristics.

The equation represents a quadratic function, where x is the independent variable and y is the dependent variable. The coefficients in front of each term determine the shape, position, and direction of the graph.

The term with the highest power of x is -0.024x^2, which indicates a downward-opening parabola. The coefficient -0.024 determines the steepness of the curve. A negative coefficient means the parabola is concave down.

The term 0.0791x is the linear term and determines the slope of the line. A positive coefficient indicates an upward or positive slope. It affects the overall direction and position of the graph.

The constant term 4.873 is the y-intercept. It indicates the point at which the graph intersects the y-axis when x = 0.

To analyze the graph of the quadratic equation further, we can calculate the vertex. The x-coordinate of the vertex can be found using the formula x = -b/(2a), where a and b are the coefficients of x^2 and x, respectively. In this case, a = -0.024 and b = 0.0791. Substituting these values into the formula, we have x = -0.0791 / (2 * -0.024) ≈ 1.643. By substituting this x-coordinate into the equation, we can find the y-coordinate of the vertex.

Overall, the equation y =\(-0.024x^2 + 0.0791x\) + 4.873 represents a quadratic function with a downward-opening parabola. The specific properties, such as the vertex and other key points, can be determined by further calculations and analysis of the equation.

for more such question on quadratic visit

https://brainly.com/question/1214333

#SPJ8

Answer:

If im not wrong, if every question is 2 points of 100 points in total means that are 50 questions, so if he gets 10 wrong then he would be losing 20 points which his final grade would be 80!

Answer:

Score with 10 questions wrong: 80

Score with x questions wrong: 100−2x

Step-by-step explanation:

each point is deducted by 2 pts and so, with 10 question, he got an 80.

100 is the availability of the points and 2x means which the points were lost

Answer:

The rate of change is 28.

Step-by-step explanation:

The equation is in slope-intercept form,  y = mx + b, where m is the slope, and b is the y-intercept.

Answer: 20 r 19

Step-by-step explanation:

48 can go into 87 to times witch is 86 =1 bring down the 9 makes it 19 so 48 cant go in 19 so 19-0=0 witch gives you the answer 20 r 19

r=remainder

Answer:

the pattern is add 5 then addd 10

Step-by-step explanation:

look at what you typed

Answer:

The answer is 41.

Step-by-step explanation:

To find the mean you have to add up all the numbers and then divide it by how many numbers there are.

Explanation:

In this case the median value is more representative of the 'center' of the population. The median is a better measure when the data set is skewed, has fat tails as compared to a normal didtribution, or has outliers. Otherwise you should use the arithmetic mean.

Answer:

The answers are:x = ±7/4x = ±3/2x = ±11/8

yww:)

Answer:

Option A, \(x =\) ± \(11/8\)

Step-by-step explanation:

Step 1:  Add 144 to both sides

\(64x^2 - 144 = -23\)

\(64x^2 - 144 + 144 = -23 + 144\)

\(64x^2 = 121\)

Step 2:  Divide both sides by 64

\(\frac{64x^2}{64} = \frac{121}{64}\)

\(x^2 = 1.890625\)

Step 3:  Square root both sides

\(\sqrt{x^2} = \sqrt{1.890625}\)

\(x =\) ± \(1.375\)

\(x =\) ± \(11/8\)

Answer: Option A, \(x =\) ± \(11/8\)

The equation of the shifted line is y = x + 2

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

y = x

Shift left 2 units

To shift the equation y = x to the left by 2 units, we can replace x with (x + 2) in the equation.

i.e. (x. y) = (x + 2, y)

So, we have the new equation to be y = x + 2

This is the same line as the original equation but shifted 2 units to the left.

Read more about transformation at

https://brainly.com/question/4289712

#SPJ1

The value of w is 6.25.

What is an algebraic expression?

A mathematical expression with variables, constants, and mathematical processes is called an algebraic expression. It might also have origins or exponents. Algebraic expressions are frequently used in the framework of problem-solving in mathematics to represent quantities and relationships between quantities.

Algebraic expressions can take many different forms, but some common examples include:

3x + 7

2a² + 5ab - 3b²

(x + 2)(x - 5)

4x² - 9

To find the value of w, we need to isolate it on one side of the equation.

By multiplying both parts of the equation by 4, we can accomplish this:

4w = 25

w = 25/4

Therefore, the value of w is 6.25.

To learn more about algebraic expression from given link

https://brainly.com/question/19245500

#SPJ1

Answer:

350 hamburgers

Step-by-step explanation:

Let x = the number of hamburgers sold

Let x - 53 = the number of cheeseburgers sold

x + x - 53 = 647

2x = 700

x = 350 hamburgers

Answer:

\(Width = x + 4\)

Step-by-step explanation:

Given

Shape: Rectangle

\(Area = x^2 + 11x + 28\)

\(Length = x + 7\)

Required

Determine the width

For a rectangle:

\(Area = Length * Width\)

Substitute values for Length and Area

\(x^2 + 11x + 28 = (x + 7) * Width\)

Factorize the expression on the left hand side

\(x^2 + 7x + 4x + 28 = (x + 7) * Width\)

\(x(x + 7) + 4(x + 7) = (x + 7) * Width\)

\((x + 7)(x + 4) = (x + 7) * Width\)

Divide both sides by x + 7

\(Width = x + 4\)

The quotient is 33x-8 and the remainder is 44.

What is quotient?

In arithmetic, a quotient is described as a quantity produced by the division of two numbers.

The quotient has widespread use throughout mathematics, and is commonly referred to as the integer part of a division, or as a fraction or a ratio.

The result of dividing 23-2-11x-8 by x+1 using synthetic division is:

23 | -2  -11x -8

x+1 | 23  21  11x

          44  33x-8

I conclusion, synthetic division is also an arithmetic method for manually performing Euclidean division of polynomials, with less writing and fewer calculations than long division.

Learn more about synthetic division at: https://brainly.com/question/29638766

#SPJ1

Answer:

Step-by-step explanation:

n = 41

There are 41 students on each bus.

There are 20 students have more than 2 pets.

We have to given that;

A line plot titled Number of Pets of Third Grade Students.

Here, By given information we get;

Number of students have more than 2 pets are,

⇒ 4 + 2 + 3 + 0 + 1 + 5 + 1 + 1 + 3

⇒ 20

Thus, There are 20 students have more than 2 pets.

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ1

Answer:

1.  x = -1  y= -2
2. infinitely many solutions

3. x = 6 y= -7

4.no solution

5. x = -3 y = -17

6. x= 3 y = 7

Step-by-step explanation:

1) y=x-1

7x+6y= -19

6y= -19 -7x

y= (-7x-19)/6

since x-1 and (-7x-19)/6 are both equal to y they are equal to each other

this is how to get x

x-1 = (-7x-19)/6

6x-6 = -7x-19

13x = -13

x = -1

now put back -1 in the equation to get y

y=x-1

y = -1 -1

y= -2

2)-10x+2y=-12

y=5x-6

2y= -12 + 10x

y= -6 + 5x

y = 5x - 6

5x-6 = 5x - 6

0 = 0

when something is

equal to itself its

infinitely many solutions

(when something is not equal to something its no solution)

((when something is equal to just one answer its one solution)

3) y= -4x+17

y=x-13

-4x+17 = x-13

30 = 5x

x = 6

y=x-13

y=6-13

y= -7

4) -3x-15y=8

x+5y=5

-3x-15y=8 -> y = -1/15(3x-8)

5y=5-x -> y= 1/5 (5-x)

-1/15(3x-8) = 1/5 (5-x)

-x-8/3 = 5-x

0 = 23/3

(when something is not equal to something its no solution)

5) -3x+6y=-3

3x-y=8

-3x+6y= -3 -> y = 1/6(3x-3)

3x-y=8 -> y = 3x-8

1/6(3x-3) = 3x-8

3x-3 = 18x-48

x-1 = 6x - 16

5x = -15

x = -3

3x-y=8

3(-3)-y=8

-9-8 = y

y = -17

6) -6x+6y=24

-3x-8y=1

-6x+6y=24 -> y = 1/6(6x+24) -> y = x+4

-3x-8y=1 -> -3x-1 = 8y -> y = 1/8 (-3x-1)

1/8 (-3x-1) = x+4

-3x-1 = 8x+32

11x = 33

x= 3

-6x+6y=24

-6(3)+6y=24

-18 + 6y = 24

6y = 24 + 18

6y = 42

y = 7

Answer:

H= 2x+3

brainliest please :)

The value of ∠H will be -6x +4 for the given figure.

Geometry is one of the oldest branches of mathematics, along with arithmetic. It is concerned with spatial properties such as figure distance, shape, size, and relative position.

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.

The angle will be calculated as,

∠H + 3x - 10 + 3x + 6 - 180 + 180 = 0

∠H +6x -4 = 0

∠H = -6x + 4

To know more about geometry follow

https://brainly.com/question/25716982

#SPJ2

Answer:

172   ft^3

Step-by-step explanation:

Treat the whole thing as a slid....then subtract the cut out part

8 x 6 x 4     -    2 x 5 x 2     = 172 ft^3

Answer:

y = 10x

Step-by-step explanation:

Independent variable (x) = time (minutes)

Dependent variable (y) = distance (feet)

The line passes through the point of origin (0, 0), which means it represents a proportional relationship. Therefore, the equation would be in the form of y = mx. Where,

m = slope = y/x

Using any point on the line, say (5, 50),

m = 50/5

m = 10

To write the equation, substitute m = 10 into y = mx

Thus:

y = 10x