What is 130% of 139.7

Answer:

[tex]56a+40b[/tex]

Step-by-step explanation:

[tex]43a+13a-12b+52b=56a+40b[/tex]

Answer:

56a+40b

Step-by-step explanation:

43a-12b+13a+52b

--> (43a+13a)+(52b-12b)

--> (56a)+(40b)

--> 56a+40b

Hope that helps

Using algebra, the inverse of the function is [tex]f^{-1} (x) = \sqrt{y+4} +1[/tex].

An inverse in mathematics is a function that "undoes" another function. Therefore, if f (x) generates y, which is subsequently transformed into x by applying y to the inverse of f(x).

Given that [tex]f(x) = (x-1)^{2} -4[/tex].

Let us consider f(x) = y.

[tex]y = (x-1)^{2} -4[/tex]

Add 4 on both sides of the equation.

[tex]y+4= (x-1)^2 -4 +4\\y + 4 =(x-1)^2[/tex]

Square root on both sides of the equation.

[tex]\sqrt{y+4} = \sqrt{(x-1)^2}\\\\ \sqrt{y+4} = x-1[/tex]

Add 1 to both sides of the equation.

[tex]\sqrt{y + 4} +1 =x -1 +1\\\\\sqrt{y + 4} +1 =x[/tex]

Hence the value of [tex]f^{-1} (x) = \sqrt{(y+4)} +1[/tex].

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Answer:

i can help you but please can you send full questions

The value of a is 1 and c is 16. The equation is x^2+8x+16=0. The solution is obtained using discriminant.

What is discriminant?

In mathematics, a polynomial's discriminant is a function of the polynomial's coefficients. It is useful for figuring out a polynomial equation's sort of solutions without actually finding them. In other words, it distinguishes between the equation's solutions (as equal and unequal; real and nonreal), giving rise to the term "discriminant." . Any real number may represent the discriminant's value (i.e., either positive, negative, or 0).

We know that ax² + 8x + c = 0 has one real solution,

Therefore, D=0

So, b^2-4ac=0

⇒ 64-4ac=0

⇒ ac=16

So, when a=1, c=16.

Hence, the value of a is 1 and c is 16. The equation is x^2+8x+16=0.

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Since, there are multiple questions so the question I answered is attached below.

Answer:

Step-by-step explanation:

x² = 8² + 1²

x² = 64 + 1

x² = 65

x = √65

or

x = 8.06

2v+3b=214 and 3v+4b=302 are a linear system to model the situation

Two or more expressions with an Equal sign is called as Equation.

Given that R took two high schools to the Atlanta Hawks Game.

Let v represent the van and b represents the buses.

B took 2 vans and 3 buses with 214 students

2v+3b=214

W took 3 vans and 4 buses with 302 students

3v+4b=302

So the two linear equations are 2v+3b=214 and 3v+4b=302

Hence, 2v+3b=214 and 3v+4b=302 are a linear system to model the situation

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The first step in creating parallel lines is to use a straightedge to draw a line that intersects the first line.

How do parallel lines work?

In a plane, two lines are said to be parallel if they do not cross, even when extended in both directions indefinitely.

To create a parallel line with a ruler and compass, follow these steps:

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Answer: (5,1)

Step-by-step explanation:

Substitution is where you "plug in" an equation equal to a variable to another equation that contains that variable.

Here you would subtract x from the second equation, leaving you with

-5y = -x.

You can multiply both sides by -1 to get 5y = x

Then, because 5y is equal to x, you plug in 5y where it says x on the first equation.

Now you have 4(5y) + 3y = 23. That simplifies to 20y + 3y = 23, and then 23y = 23

Divide and you get "y = 1"

Now you that you know what y is equal to, you plug in the value for y to either equation and solve for x to find the (x,y) coordinates.

4x + 3(1) = 23

4x + 3 = 23

4x = 20

x = 5

Final answer is (5,1)

Answer:

Point Form:

(5,1)

Equation Form:

x= 5,y= 1

Step-by-step explanation:

:)

So, the equation |x-10|=17 can be transformed into the following two linear equations:

x = 27

x = -7

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, separated by the 'equal' sign.

The non-negative value of a real number x, regardless of its sign, is its absolute value (or modulus), | x |. For instance, 5 has an absolute value of 5, and 5 has a value of 5. One way to think about a number's absolute value is its distance from zero on the real number line.

To transform the equation |x-10| = 17 into two linear equations, we need to consider the two possible cases for the absolute value: x-10 = 17 and x-10 = -17.

When x-10 = 17, x = 27

When x-10 = -17, x = -7

So, the equation |x-10|=17 can be transformed into the following two linear equations:

x = 27

x = -7

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Considering the figure, the equation AB rests is on

A linear function consists of functions where the variables has exponents of 1.

The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + c

The slope is represented as m, The slope by definition is the ratio of change of the output values to the change in the input values. The slope can also be called the rate of change

When a line slopes from top left to bottom right, the line is said to have a negative slope. This coincides with the line in the figure hence the line will have a negative slope.

There is not enough information to get the y intercept, hence the line will be

y = mx

where m = -6/9 = -2/3

therefore y = -2/3 x

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Answer: 14 in^2

Step-by-step explanation: The base b is 3 inches greater than the height, the height is 4 inches so to find b we simply do 4+3=b.

This gives us 7=b.

The area of a triangle is defined as A=1/2bh or half times base times height. Since we know both our height and base, we can plug in our numbers.

A=1/2*7*4 to get 14.

So A= 14 in^2

Answer:

x = 64

Step-by-step explanation:

The given polygon is a quadrilateral — a closed figure with 4 sides. We know that the measures of the interior angles of a quadrilateral sum to 360º (e.g., the measures of a rectangle's four angles: 90º + 90º + 90º + 90º = 360º). Using this information, we can construct an equation with xº and the rest of the angle measures given in the diagram.

xº + 100º + 130º + 66º = 360º

To solve this equation, we can subtract (100 + 130 + 66)º from both sides.

xº = 360º - (100 + 130 + 66)º

xº = 360º - 296º

xº = 64º

x = 64

Answer:

  (4, 7)

Step-by-step explanation:

You want the nearest integer solution to the system of equations ...

The graph shows the point with integer coordinates that is nearest the solution to these equations is (4, 7).

The line intersect closest to the integer coordinates (4, 7).

<95141404393>

Measuring and recording the length of each side of a parallelogram means using a measuring tool, such as a ruler or a tape measure, to determine the length of each of the four sides of the parallelogram and then recording that measurement.

The measurement should be noted with the appropriate unit of measurement (inches, centimeters, etc.) and recorded in a way that is easy to understand and reference later.

To measure and record the length of each side of a parallelogram, the following steps can be taken:

It is important to note that a parallelogram has opposite sides of equal length and opposite angles of equal measure. Therefore, after measuring and recording the length of two sides, you can use this property to measure the other sides without measuring them again.

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Evaluation of the expression gives  1/ 9. Option A

Index form is the power or exponent raised to a number or variable.

In mathematics, an index (or indexes) is the power or exponent that is added to a number or variable. For instance, the index of 2 in the number 24 is 4. Indexes is the plural form of the word. Constants and variables are concepts found in algebra. A constant is a number that cannot be altered. As opposed to a fixed quantity, a variable quantity's value can be altered or assigned any number. In algebra, indices are discussed in terms of numerical values.

From the information given, we have the expression to be.

= (3^(-4) )^(1/2)

Expand the bracket

= (3)^(-4*1/2)

= (3)^(-4*1/2)

= (3)^(-4/2)

= (3)^(-2)

Take the inverse of the square of 3

=1/3^2

=1/9

The expression is simplified to 1/ 9

Thus, evaluation of the expression gives  1/ 9. Option A

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The expression is simplified to 1/ 9

Now, According to the question:

Let's Know:

What is index form?

Index form is the power or exponent raised to a number or variable.

From the information given, we have the expression to be.

[tex]= (3^-^4 )^(^1^/^2^)[/tex]

Multiply the powers:

= [tex](3)^-^4^/^2[/tex]

= [tex](3)^-^2[/tex]

Take the inverse of the square of 3

[tex]=1/3^2[/tex]

=1/9

The expression is simplified to 1/ 9.

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Check the picture below.

so for the equation y = 40 + 20x, what's an appropriate domain? or namely, what could be some valid values for "x"?

well, Jessica is going to put in 20 bucks only for 12 weeks, so whatever "x" is going to be, is must be from 0 to 12, or in interval notation [0 , 12].

the automobile's average speed in  40 miles per hour.

What is speed?

The speed of an object, also known as v in common parlance and kinematics, is the size of the change in position per unit of time or the size of the change in position over time; as such, it is a scalar quantity. The average speed of an object in a given period of time is equal to the distance traveled by the object divided by the length of the intervalthe instantaneous speed is the upper limit of the average speed as the length of Velocity and speed are different concepts.

formula d=rt, d represents the distance in miles , r represents average speed in miles per hour and t represents time in hours .

given

distance=60m

and time=1.5hr

average speed= 60/1.5 = 40 miles per hour.

Hence, the automobile's average speed in  40 miles per hour.

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The triangle given here, using distance formula, is found to be isosceles.

First, let's calculate the length of the sides of the triangle, by calculating the distance between the given points.

Use the following formula:

[tex]d = \sqrt{(x_{2} - x_{1}) ^2 + (y_{2} - y_{1}) ^2}[/tex] (the distance formula)

where (x1,y1) and (x2,y2) are the limits of a segment with length d.

Then, the distance between points X and Y is:

[tex]d_{XY} = \sqrt{(-5-2)^2 + (-4-(-1))^2} = \sqrt{49+9} = \sqrt{58}[/tex]

The distance between points Y and Z is:

[tex]d_{YZ} = \sqrt{(-2-(-5))^2 + (3-(-4))^2} = \sqrt{9+49} = \sqrt{58}[/tex]

and the distance between points Z and X is:

[tex]d_{ZX} = \sqrt{(2-(-2))^2 + (-1-3)^2} = \sqrt{16+16} = \sqrt{32}[/tex]

Then, you have two sides with the same length, which are sides XY and YZ and another side with a different length. When a triangle has two sides with the same length, such a triangle is isosceles.

Thus, the triangle given here, using distance formula, is found to be isosceles.

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The number of times that the heart beat in one year is 4.20 x 10^7.

Scientific notation is used to compress large numbers in smaller numbers. It is used to transform large numbers into smaller number.

In order to write a number in scientific notation, the number is written as a decimal number, between 1 and 10 and multiplied by a power of 10. For example, the notation 7 x 10² is equivalent to 700

The number of heart beat in one year = average heart beat per day  number of days in a year

(1.15 x 10^5 x (3.65 x 10^2)

= (1.15 x 3.65) x (10^5 + 2)

= 4.20 x 10^7

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The volume of sum of the volume of the cylinder and rectangular prism will be 388.26 cubic cm.

Volume is a measurement of three-dimensional space that is utilized. It is frequently mathematically quantified using SI-derived units or different imperial or US traditional units. The concept of length is linked to the notion of capacity.

A bottle consists of a cuboid and a cylinder.

The volumes are given as,

V = πr²h + L × W × H

V = 3.14 × (3/2)² × 4 + 10 × 8 × 4.5

V = 28.26 + 360

V = 388.26 cubic cm

The volume of sum of the volume of the cylinder and rectangular prism will be 388.26 cubic cm.

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Answer:

$64.36 or 63.63

Step-by-step explanation:

[tex]22.9+27.6 = 50.5[/tex]

To find tax multiply by .08 and then add to the total

[tex]50.5*.08 = 4.04[/tex]

[tex]50.5 + 4.04 = 54.54[/tex]

I'm not sure of the tip is including the tax or not. However, with tax, multiply the total after tax by .18. Without tax multiply the total beforehand by .18. Then add to the total.

Tip after tax:

[tex]54.54*.18 = 9.82[/tex]

[tex]54.54+ 9.82 = 64.36[/tex]

Tip without tax:

[tex]50.5*.18 = 9.09[/tex]

[tex]54.54+9.09 = 63.63[/tex]

Use the chain rule to get the derivative (the slope), then use the given point to write the equation.

y = sin(sinx)

dy/dx = cos(sinx) cos(x)

x = 3π

sin(3π) = 0

cos(sin(3π)) = cos(0) = 1

cos(3π) = -1

m = dy/dx|x=3π = -1

y = -x + b

0 = -3π + b

b = 3π

y = -x + 3π

Answer:

3/s

Step-by-step explanation:

Answer:

3/s

Step-by-step explanation:

i had the same question our teacher went over it

Answer:

4

Step-by-step explanation:

36 ÷ 9= 4

you just want to take the 36 glasses and put them into nine rows of four

Answer: 3.25 (Add on 0.25 each week)

Step-by-step explanation:

3 + 1/4 = 13/4 = 3 1/4 = 3.25

[tex]9w+6=33[/tex]

Subtract 6 from both sides:

[tex]9w+6-6=33-6[/tex]

[tex]9w=27[/tex]

Divide both sides by 9:

[tex]\dfrac{9w}{9} =\dfrac{27}{9}[/tex]

[tex]\fbox{w = 3}[/tex]

Check:

[tex]9(3)+6=33\\27+6=33[/tex]

[tex]\checkmark[/tex]

The solution to the linear function y = 1/4x + 5/4 is (1, 1.5)

A linear equation is an equation that can be written in the form ax + b = 0, where a and b are constants and x is a variable. It is a type of equation that describes a straight line when graphed.

The linear function given is y = 1/4x + 5/4

The solutions given are (1, 1.5) and (12, 4)

Let's test for the values.

For (1, 1.5)

y = 1/4(1) + 5/4

y = 1/4 + 5/4

y = (1 + 5)/4

y = 6/4

y = 1.5

This solution is true.

Let's test for (12, 4)

y = 1/4(12) + 5/4

y = 4.25

This solution is not true

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Persons who regularly interact with the system as part of their jobs are called operational stakeholders

A person who has an interest in the project, is connected to it, or is positively or negatively impacted by it is referred to as a stakeholder. Operation, on the other hand, refers to any ongoing process or action, such as hospital management or any manufacturing activity.

Operational stakeholders must be involved, their needs should be recorded in the stakeholder register, and the risk management plan should take into account any influence they may have, whether good or negative.

Some Instances of operational stakeholders (based on the business) are: Operators of manufacturing facilities, managers of production lines, instructors, help desk personnel, customer service representatives, salesperson, etc.

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We can manually convert a scatter plot to a four-quadrant graph. For this conversion we shall have to follow the steps noted below :

1) At first, we shall have to delete the trend line from our scatter diagram.

2) Then, we shall have to reformat our X-axis.

3) After that, we shall have to reformat our Y axis.

4) At last, once we have updated both the X and Y axis values, we should have an XY Scatter Diagram with Four Quadrants.

The goal of the XY Scatter chart with quadrants is to create a chart in Excel that plots data points on a percentage scale for X and Y and also shows quadrants with a different scale. Instead of the normal 0 to 100, the X and Y axis run from 100% to 0%.

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