If f(x) =3x^2 -2 and g(x) = 2x+ 4 , find (f - g) (x).

O A. 3x^2-2x-6
O B. 3x^2-2x+2
O C. x^2 +2
O D. 2x-3^2-2

Answer:

To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.

Use the slope  

−

1

2

and a given point  

(

0

,

0

)

to substitute for  

x

1

and  

y

1

in the point-slope form  

y

−

y

1

=

m

(

x

−

x

1

)

, which is derived from the slope equation  

m

=

y

2

−

y

1

x

2

−

x

1

.

Step-by-step explanation:

The two constants of proportionality for the relationship between distance in kilometers and number of hours are:

k = 50.

k = 1/50.

Another equation that relates d and t in this context is t = k/50.

In Mathematics, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical expression:

d = kt

Where:

From the information provided, an an equation that represents this situation is d = 50t. Therefore, the first constant of proportionality (k) is given by:

Constant of proportionality (k) = 50.

Next, we would determine the constant of proportionality (k) assuming distance is inversely proportional to time and then write another equation as follows:

d = 1/t

t = k/d

t = 1/50 × d

t = k/50

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If a radius is drawn to the point of tangency of a tangent line, then the radius is basically perpendicular to the tangent line.

Given that the radius is drawn to the point of tangency of a tangent line.

We are required to fill the blank with the appropriate word.

Radius is basically the line segment which joins the center to any point on the circumference of the circle.

Tangent line is basically a line which is drawn from an outside point on the circumference of the circle.

When the radius is drawn to the point of tangency of a tangent line, then the radius is perpendicular to the tangent line.

Hence if a radius is drawn to the point of tangency of a tangent line, then the radius is perpendicular to the tangent line.

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Answer:

-4

Step-by-step explanation:

y=2-9×(2/3)=2-6= -4

The dilation transformation of the triangle ABC by a scale factor of 3, with the point P as the center of dilation indicates;

Side A'B' will be parallel to side AB

Side A'C' will be parallel to side AC

Side BC will lie on the same line as side BC

A dilation transformation is one in which the dimensions of a geometric figure are changed but the shape of the figure is preserved.

The possible options, from a similar question on the internet are;

Be parallel to

Be perpendicular to
Lie on the same line as

The location of the point P, which is the center of dilation, and the lines PC and PA of dilation and the scale factor of dilation indicates that we get;

PB' = 3 × PB

PA' = 3 × PA

PC' = 3 × PC

Therefore; The side B'C' will be on the same line as the side BC

The Thales theorem, also known as the triangle proportionality theorem indicates that;

The side A'C' will be parallel to the side AC

The side A'B', will be parallel to the side AB

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\(\cfrac{2y}{3}-\cfrac{3}{4}=\cfrac{1}{12}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( \cfrac{2y}{3}-\cfrac{3}{4} \right)=12\left( \cfrac{1}{12} \right)}\implies 8y-9=1 \\\\\\ 8y=10\implies y=\cfrac{10}{8}\implies y=\cfrac{5}{4}\)

hi

0.25m +0.25 = 25

0.25m =  24.75

     m =  24.75/0.25

    m = 99

conclusion : you can phone for  99 minutes

The slope of Friday and Kwame's budget lines can be obtained by examining the given information;

1. Friday is willing to trade 2 fish for 1 coconut, this means that Friday's budget slope is;

We can also obtain this slope directly from the budget line by relating changes in coconut with fish;

2. Kwame is willing to trade 3 fish for 1 coconut, this means that Kwame's budget slope is;

We can also obtain this slope directly from the budget line by relating changes in coconut with fish;

Answer:

$26,986.29

Step-by-step explanation:

We can use the formula for calculating the depreciation of an asset over time:

wor

\(\bold{D = P(1 - \frac{r}{100} )^t}\)

where:

D= the current value of the asset

P = the initial purchase price of the asset

r = the annual depreciation rate as a decimal

t = the number of years the asset has been in use

In this case, we have:

P = $39,600

r = 12% = 0.12

t = 3 years

Substituting these values into the formula, we get:

\(D= 39,600(1 - \frac{12}{100})^3\\D= 39,600(1 - 0.12)^3\\D= 39,600*0.88^3\\D= 39,600*0.681472\\D=26986.2912\)

Therefore, the car is worth approximately $26,986.29 after 3 years of depreciation at a rate of 12% per annum.

Answer:

$26,986.29

Step-by-step explanation:

As the car's value depreciates at a constant rate of 12% per annum, we can use the exponential decay formula to create a function for the value of the car f(t) after t years.

\(\boxed{f(t)=a(1-r)^t}\)

where:

In this case, the initial value is $39,600, and the rate of depreciation is 12% per year. Therefore, the function that models the value of the car after t years is:

\(f(t)=39600(1-0.12)^t\)

\(f(t)=39600(0.88)^t\)

To calculate the value of the car after 3 years, substitute t = 3 into the function:

\(\begin{aligned} f(3)&=39600(0.88)^3\\&=39600(0.681472)\\&=26986.2912\\&=26986.29\;(\sf 2\;d.p.)\end{aligned}\)

Therefore, the car is worth $26,986.29 after 3 years.

If one number is increased by a factor of 12 and the other is decreased by a factor of 4, the product of the two numbers will be multiplied by a factor of 3.

Let's suppose we have two numbers, A and B, and we want to know how their product will change if one number is increased by a factor of 12 and the other is decreased by a factor of 4.

The initial product of the two numbers is:

A x B

If we increase A by a factor of 12, the new value of A will be 12A. If we decrease B by a factor of 4, the new value of B will be B/4. Therefore, the new product of the two numbers will be:

(12A) x (B/4) = (12/4) x A x B = 3AB

So the new product of the two numbers will be three times the initial product. In other words, if one number is increased by a factor of 12 and the other is decreased by a factor of 4, the product of the two numbers will increase by a factor of 3.

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The expected total dollar net operating Income for next year = $70,000

1) The contribution format income statement for the game last year, and the degree of operating leverage is computed below:

Contribution format income statement for the game last year Sales (15,000 × $20) = $300,000

Variable expenses (15,000 × $6) = $90,000

Contribution margin = $210,000

Fixed expenses = $182,000Net operating income = $28,000

Degree of operating leverage = Contribution margin / Net operating income= $210,000 / $28,000= 7.5 2)

The expected percentage increase in net operating income for next year:

The expected sales in next year = 18,000

games selling price per game = $20

Therefore, Total sales revenue = 18,000 × $20 = $360,000

Variable expenses = 18,000 × $6 = $108,000

Fixed expenses = $182,000

Expected net operating income = Total sales revenue – Variable expenses – Fixed expenses

= $360,000 – $108,000 – $182,000= $70,000

The expected percentage increase in net operating income = (Expected net operating income - Last year's net operating income) / Last year's net operating income*100= ($70,000 - $28,000) / $28,000*100= 150%

The expected total dollar net operating income for next year = $70,000

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Given:

There is a equation of line given as:

Required:

We need to find the parallel line to the given line which is passes through (3,-1)

Explanation:

Here compare given equation with

so the m=2/3 which is the slope of given line

We need to find the parallel line to the given line it means the slope of both lines is same

so the slope of required line is also m=2/3

now to find the required line which is passes through (3,-1)

there is a formula

where

now substitute the all values in the formula

Final answer:

Parallel line to the given line is

Answer:

it is y<106

Step-by-step explanation:

remember to add 85 and 21 together :)

Answer: is 14 square feet bro

Step-by-step explanatio

Answer:

look at the picture i have sent. thanks for the points

Answer: Should be 275%

Step-by-step explanation:

The best answer is C: II and III.

To protect her gains, Mary should consider strategies that limit her potential losses. Of the choices listed, the best strategies to protect Mary's gains would be to close out her short position (III) or buy puts on XYZ (II).

Buying calls on XYZ (I) would not protect Mary's gains, as it would only allow her to potentially make more money if the price of XYZ goes up. Buying more XYZ using leverage (IV) would also not protect Mary's gains, as it would expose her to even more risk if the price of XYZ goes down.

Therefore, The best answer is C: II and III.

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The data correlation in the scatter plot above include the following: B. positive.

In Mathematics, a positive correlation is used to described a scenario in which two variables move in the same direction and are in tandem.

This ultimately implies that, a positive correlation exist when two variables have a linear relationship or are in direct proportion. Therefore, when one variable increases, the other variable generally increases, as well.

By critically observing the scatter plot shown in the image attached above, we can reasonably infer and logically deduce that there is a positive correlation between the x-values and y-values because they both increase simultaneously.

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Problem 1

Answers:

It costs 1.72 dollars to send a letter that is 1.5 ounces

It costs 1.72 dollars   to send a letter that is 2 ounces

In short, both answers are  1.72 dollars

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

Explanation:

The piecewise function may seem really ugly and complicated, and I can understand why many don't like them, but they aren't too bad once you get used to it.

A piecewise function is simply a collection of many functions glued together. Instead of listing four different functions, your teacher has combined them all into one super function of sorts.

Here are the rules for this function

As you can see, the definition of F(w) will change depending on what w is.

If the weight is w = 1.5 ounces, then we're on the interval \(1 < w \le 2\) since 1.5 is between 1 and 2. So we go for the second definition shown above and we conclude that it will cost $1.72 to send this 1.5 ounce letter.

If you wanted, you could rewrite those four bulleted points into this equivalent form

which is a less mathematical way of stating it. It might also help to make it into a chart, which would help customers better who may not want to deal with math.

A letter that's 2 ounces will cost $1.72 as well since w = 2 makes \(1 < w \le 2\) true.

In short, both the 1.5 ounce and 2 ounce letters cost $1.72 each.

===========================================================

Problem 2

Answer: The graph is shown below (attached image)

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

Explanation:

We have what is called a step function, or a staircase function. Either name will work. The graph consists of the horizontal portion of the stairs, but the vertical parts of the stairs are not drawn (or else we wouldn't have a function due to the vertical line test).

Note the placement of the open and closed endpoints. An open endpoint excludes the value in question, while a closed endpoint includes the value.

For instance, we have an open endpoint at (1, 1.72) while there's a closed endpoint at (1, 1.15). Each closed endpoint is directly connected to the "or equal to" portion of the inequality sign, and each open endpoint does not have the "or equal to" portion.

As the graph shows, we basically have the a certain flat cost for the four different regions. This corresponds to the costs given in the piecewise function. Each height is drawn from the list {1.15, 1.72, 2.29, 2.86}

The point labels of A,B,C,D,E,F,G,H are optional. I only put them in there to help identify which endpoints are open or closed. Points on the left side of each segment, or horizontal stair component, are open endpoints. Points on the right side are closed endpoints.

Answer:

The answer is

Step-by-step explanation:

The distance between two points can be found by using the formula

\(d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\\)

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(5, 3) and (-2, 8)

The distance between them is

\( d = \sqrt{( {5 + 2})^{2} + ( {3 - 8})^{2} } \\ = \sqrt{ {7}^{2} + ({ - 5})^{2} } \\ = \sqrt{49 + 25} \\ = \sqrt{74} \: \: \: \: \: \: \: \: \: \: \)

We have the final answer as

\( \sqrt{74} \: \: \: \: units \\ \)

Hope this helps you

The coldest temperature recorded in Vostok station in Fahrenheit is -89.2°F

An equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.

It is important to note that an equation is the mathematical statement which can be made up of two expressions which are connected by an equal sign.

The coldest temperature recorded in Vostok station in Fahrenheit is:

= -22.3 × 4

= -89.2°F

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Answer:

The original price was $25

Step-by-step explanation:

Answer:

Step-by-step explanation:

To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2.

6 * 10 : 2 =

30cm²

The length of the string in cm is; 20 cm

We are told that the string is wound symmetrically around a circular rod.

Now, the circumference of the rod is 4 cm and length is 15 cm.

Now, circumference is also the length of a circle. Thus, one wound of the string will be equal to the circumference of the rod.

Thus, one wound = 4 cm

Since the string makes 5 turns about the rod, then;

Length of string = 5 × 4 = 20 cm

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Answer:

Its stupid by like todoroki =(

Step-by-step explanation:

Answer:

Bruh u already know Todoroki he reminds me of Zuko from Avatar.

Anyways have u seen The Seven Deadly Sins?

Answer:

It would by 1/8 divided by 5! Which will equal 1/40

Step-by-step explanation:

Given statement solution is :-  The Vector Calculations and Addition results are as follows:

ü -< -3, -7 > = < -3, -7 >

=< 4, -2 > - < -4, -32 > = < 0, -34 >

< 7, -3 > - < -8, -30 > = < 15, 27 >

< 5, -11 > + < 2, 0, 0, 0 > = < 7, -11, 0, 0 >

And 4 + 20 = 24.

To find the sum of 4 + 20, we simply add the two numbers together:

4 + 20 = 24

As for the given vectors, let's perform the requested calculations:

ü -< -3, -7 > = < -3, -7 >

=< 4, -2 > - < -4, -32 > = < 4 + (-4), -2 + (-32) > = < 0, -34 >

< 7, -3 > - < -8, -30 > = < 7 - (-8), -3 - (-30) > = < 15, 27 >

< 5, -11 > + < 2, 0, 0, 0 > = < 5 + 2, -11 + 0, 0 + 0, 0 + 0 > = < 7, -11, 0, 0 >

Therefore, the Vector Calculations and Addition results are as follows:

ü -< -3, -7 > = < -3, -7 >

=< 4, -2 > - < -4, -32 > = < 0, -34 >

< 7, -3 > - < -8, -30 > = < 15, 27 >

< 5, -11 > + < 2, 0, 0, 0 > = < 7, -11, 0, 0 >

And 4 + 20 = 24.

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Answer:

1

Step-by-step explanation: