If f(x)=x²-x³ + x² and g(x) = -x², where x # 0, what is (f/g)(x)?

Answers

Answer 1

The value of f(x)/g(x)=x-2 for f(x)=x²-x³ + x² and g(x) = -x² and where x # 0 and the definition of function defines "function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable)".

What is function?

A function is a type of rule that produces one output for a single input. This is illustrated by the equation y=x². Any input for x results in a single output for y. Considering that x is the input value, we would say that y is a function of x. The property that every input is related to exactly one output defines a function as a relationship between a set of inputs and a set of allowable outputs. A mapping from A to B will only be a function if every element in set A has one end and only one image in set B. Let A & B be any two non-empty sets.

Here,

f(x)=2x²-x³

g(x)=-x²

f(x)/g(x)=(2x²-x³)/-x²

=x²(2-x)/-x²

f(x)/g(x)=x-2

The definition of function defines "function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable)". The value of f(x)/g(x)=x-2 for f(x)=x²-x³ + x² and g(x) = -x² and where x # 0.

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Related Questions

− 5/7 . (−3) can someone write this in the simplest form

Answers

I’ll help you! (I tried btw)


If the algebraic problem is, - 5/7 TIMES -3….

Then, - 5/7 x (-3) = 15/7

When you simply 15/7, you should get 2 1/7.


Hope this helps!!

Beth and 8 of her friends are going bowling Saturday. Each game cost $x plus an additional $3.25 to rent shoes. Write an expression to represent the total cost of an afternoon of bowling if four friends bring their own shoes.

Answers

Answer:

9*X+5*3.25

Step-by-step explanation:

So, total 9 person; 4 person have their own shoe.

Cost for game = 9*X;

Cost for shoe = 5*3.25;

So the total cost = 9*X+5*3.25

Marshall is going to make an apple pie. He buys x pounds of apples and a pie crust that costs $4.50. The total cost in dollars. y. can be found using the equation below. y = 2.57x +4.5 What is the cost per pound of the apples

Answers

1) Considering that x is for pounds of apples and y is a total cost of an apple let's find the cost per pound of the apples, given that the y=2.57x +4.5

Let's turn that function into an equation

0=2.57x +4.5 Subtract 2.57x from both sides

-2.57x=4.5 Divide both sides by -2.57

x=-1.75

2) So if no one pie crust is sold, there is going to be a loss of $-1.75, according to that equation.

Therefore, we can infer that the cost per pound of the apples is $1.75

Which graph shows y=3⌊x⌋−4? Responses Graph of the function f open argument x close argument equals greatest integer on a coordinate plane. The horizontal x axis ranges from negative 10 to 10. The vertical f of x axis ranges from negative 10 to 10. The graph is a step function with 7 vertical line segments. Each line segment is one unit long, with a closed point on the left side and an open point on the right side. Moving left to right, each line segment is shifted to the right one unit and up one unit, compared to the line segment before it. The endpoints of the first three line segments are as follows. Segment one. Begin ordered pair negative 2 comma negative 10 end ordered pair and begin ordered pair negative 1 comma negative 10. Segment two. Begin ordered pair negative 1 comma negative 7 end ordered pair and begin ordered pair 0 comma negative 7 end ordered pair. Segment three. Begin ordered pair 0 comma negative 4 end ordered and 1 comma negative 4 end ordered pair. The pattern continues with the last line segment at an endpoint. Image with alt text: Graph of the function f open argument x close argument equals greatest integer on a coordinate plane. The horizontal x axis ranges from negative 10 to 10. The vertical f of x axis ranges from negative 10 to 10. The graph is a step function with 7 vertical line segments. Each line segment is one unit long, with a closed point on the left side and an open point on the right side. Moving left to right, each line segment is shifted to the right one unit and up one unit, compared to the line segment before it. The endpoints of the first three line segments are as follows. Segment one. Begin ordered pair negative 2 comma negative 10 end ordered pair and begin ordered pair negative 1 comma negative 10. Segment two. Begin ordered pair negative 1 comma negative 7 end ordered pair and begin ordered pair 0 comma negative 7 end ordered pair. Segment three. Begin ordered pair 0 comma negative 4 end ordered and 1 comma negative 4 end ordered pair.

Answers

The graph for the given equation is plotted below.

The given equation is y=3x-4.

What is the graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

Put x=0, 1, 2, 3, 4,....in the given equation and solve for y

When x=0, y=-4

When x=1, y=-1

When x=2, y=2

When x=3, y=5

Plot the coordinates (0, -4), (1, -1), (2, 2) and (3, 5) on the graph.

Therefore, the graph for the given equation is plotted below.

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Last month, Sally and Roger sold candy to raise money for their debate team. Roger sold 1/3 as much candy as Sally did. If Sally sold 2 9/10 boxes of candy, how many boxes of candy did Roger sell?

Answers

The boxes of candy sold by Roger are 29/30.

According to the question,

We have the following information:

Roger sold 1/3 as much candy as Sally sold.

Sally sold [tex]2\frac{9}{10}[/tex] boxes of candy.

Now, first we will convert the boxes of candy sold by Sally from the mixed fraction.

(More to know: there are three kinds of fraction: mixed fraction, proper fraction and improper fraction. We need to change mixed fraction in most of the cases to solve the questions further.)

We have:

29/10

Now, we know that the boxes of candy sold by Roger is 1/3 of 29/10.

So, we have the following expression:

[tex]\frac{1}{3}* \frac{29}{10}[/tex]

29/30

Hence, the boxes of candy sold by Roger is 29/30.

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The ratio of people to animals is 40 to 15. There are 27 animals. How many people are there?

Answers

40 x
—- = —-
15 27

15x = 1080
x=72
there are 72 people!!

Answer: is 72 people to 27 animals

Step-by-step explanation:


I can find the ratio by cross multiplying


40/15 to x/27


15x = 1080


x = 72


you can also divide 40/15 for a ratio percent = 8/3

multiply 27 animals x 8/3 = 72


two ways to solve for ratios

Given vectors a=(-2, 1) and b = (5, 4), find 5a - 3b.Write your answer in component form.5a - 3b = (0)X 5? ?

Answers

In order to find 5a-3b, lets find 5a. This is given by

[tex]\begin{gathered} 5a=5(-2,1) \\ 5a=(-10,5) \end{gathered}[/tex]

Similarly, -3b is given by

[tex]\begin{gathered} -3b=-3(5,4) \\ -3b=(-15,-12) \end{gathered}[/tex]

Then, by substituting our results into the expression 5a-3b, we get

[tex]5a-3b=(-10,5)+(-15,-12)[/tex]

This can can be done by adding entry by entry, that is

[tex]5a-3b=(-10-15,\text{ 5-12)}[/tex]

Therefore, the answer is

[tex]5a-3b=(-25,-7)[/tex]

Can someone please help! And thank you!

Answers

Answer:

x = 20

Step-by-step explanation:

X = 20 Because the values are Corresponding Angles This means that they are congruent

2. Write y=8x+2 in function notation.

Answers

Answer:

f(x) = 8x + 2

Step-by-step explanation:

Given

Equation y = 8x + 2

What is a function notation?

It is a representation of the functional relation with dependent and independent variables, normally, x- independent and f(x) - dependent variable.

We can write the given function as:

f(x) = 8x + 2

ABCD - FECG B 5 E 6 100° 5 A 60° С 4 120° G w D W = ? 1°

Answers

From the figure, draw from D parallel to AB.

Calculate angle D from triangle DWC = 180 - (90+60) = 180 - 150 = 30

Angle D = 30

Angle W = 90 + 30 = 120

Final answer W = 120

PLEASE HELP, thank u

Answers

The Nya will pay $46.42 for the sweater. The decimal equivalent of a 20 percent discount is 0.20. To calculate the savings in dollars, multiply the decimal discount by the item's price. For instance, if the item's original price is $24, you would multiply 0.2 by that amount to get $4.80.

Calculation of amount paid to sweater?

We have been given that Nya wants to buy a sweater that had an original price of $55. The sweater is now discounted 20%.

the price of sweater after20% discount is 55-20% of 55

The price of the sweater after discount =55-(20/100*55)

The price of the sweater after discount=55-(0.20*55)

The price of the sweater after discount=55-11

The price of the sweater after discount=44

SO  The price of the sweater after discount is $44

Now let us find the price of sweater after adding 5.5% sales tax

The price of sweater after sales tax =44+(5.5/100*44)

The price of sweater after sales tax=44+(0.055*44)

The price of sweater after sales tax=44+2.42

The price of sweater after sales tax=46.42

$46.42 is paid for sweater after sales tax

Hence, The Nya will pay $46.42 for the sweater.

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determine if two triangles are necessarily congruent. if so in a flowchart proof to prove the they are.

Answers

Yes the two triangles are necessarily congruent as they are right angled so both the angles are equal and having two sides equal by using SAS rule that is Side, Angle, Side rule by the property of congruency.

What is Congruency?

Two figures are considered to be "congruent" if they can be positioned precisely over one another. Both of the bread slices are the same size and shape when stacked one on top of the other. Congruent refers to things that are exactly the same size and shape.

What are the rules of congruency?

If two triangles meet all 5 requirements for congruence, then they are congruent. They are right angle-hypotenuse-side (RAHS), angle-side-angle (ASA), angle-angle-side (AAS), side-side-side (SSS), and side-angle-side (SAS) (RHS).

Here the ΔCED and ΔPOR,

∠CED=∠POR

Side PR=CD

Side ED=PO

by using SAS rule,

ΔCED≅ΔPOR

Yes, the two triangles are inherently congruent because they have right angles, which means that both of their angles are equal, and because their sides are equal according to the SAS rule, which stands for Side, Angle, Side.

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Find the area of the region that is inside the square and outside the circle. The circle has a diameter of 8 inches. Round to the nearest tenth.

Answers

The area of the region within the square and without the circle is equal to 13.7 square inches.

What is the area of a region generated by a square and a circle?

In this problem we find the case of figure generated by a square and an inscribed circle. Then, the area of the region is found by subtracting the area of the circle from the area of the square. Then, the area is:

A = L² - 0.25π · D²

Where:

L - Side length, in inches.D - Diameter, in inches.A - Areas, in square inches.

If we know that D = L = 8 in, then the area of the region is:

A = (8 in)² - 0.25π · (8 in)²

A = 64 in² - 50.265 in²

A = 13.735 in²

The area of the region is equal to 13.7 square inches.

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Plssss help due tomorrow!!

Answers

Answer:

  y = -1/3x +1

Step-by-step explanation:

You want the slope-intercept form equation of the line through the points (-3, 2) and (-9, 4).

Slope

The slope is given by the formula ...

  m = (y2 -y1)/(x2 -x)

  m = (4 -2)/(-9 -(-3)) = 2/-6 = -1/3

Y-intercept

The y-intercept is given by the formula ...

  b = y1 -m(x1)

  b = 2 - (-1/3)(-3) = 1

Slope-intercept equation

The slope-intercept equation of the line is ...

  y = mx +b

  y = -1/3x +1

What kinds of quadrilateral is the shape shown? The matching arrow labels indicate that two opposite sides are parallel. (Remind me about the shapes 5 5

Answers

The quadrilateral in the picture is a square since all four sides are equal.

The angles are all equal and all are right angles.

Clearly, the quadrilateral is a square.

Is (x-3) a factor of 2x^3 -4x^2-6?

1) (Type yes or no in the first blank)


2) What is the remainder?

(Type the answer in the second blank)

Answers

1. x - 3 is not a factor

2. The remainder is 32.

1. How to determine if x - 3 is a factor of 2x³ - 4x² - 6?

Using the remainder theorem, which states that for a polynomial p(x), if x - a is a factor, then p(a) = 0.

So, p(x) = 2x³ - 4x² - 6 If x - 3 is a factor, then

p(3) = 0

So, substituting x = 3 into the equation, we have

p(3) = 2x³ - 4x² - 6

= 2(3)³ - 4(2)² - 6

= 2(27) - 4(4) - 6

= 54 - 16 - 6

= 54 - 22

= 32

Since p(3) ≠ 0.

x - 3 is not a factor

2. What is the remainder?

Since p(3) = 32,

The remainder is 32.

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How to find x and y of these figures?
Image is attached

Answers

The value of x is 40 and the value of y is 25.

What is consecutive interior angles?

Pairs of angles that are between two lines and on the same side of the line that cuts through the two lines are referred to as consecutive internal angles. According to the theorem, if two lines are parallel, then successive interior angles are supplementary to one another.

Angles that add up to 180 degrees are referred to as supplementary angles.

As we know that the sum of three angles of triangle is 180 degrees.

So from the first figure we get,

2x + x + y + y + 10 = 180

3x + 2y = 170          ...(1)

From the second figure we get,

4x - y + x + 5 = 180         (Since they are consecutive interior angles)

5x - y = 175             ...(2)

After solving equation (1) and (2), we get

x = 40 and y = 25

There the value of x is 40 and the value of y is 25.

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Simplify (10y - 5g)(3s + 6g) using foil method

Answers

The answer is 30ys+60yg-15gs-30g^2.
The solution is on the paper.

given the figure, find the value of y for which the quadrilateral must be a parallelogram

Answers

For the figure to be a parallelogram, then y must be equal to 12

Here, we want to get the value of y for which the the quadilateral must be a parallelogarm

Mathematically, the diagonals of a parallelogarm bisects each other

That means the lengths on either sides are equal

Mathematically, we can get two equations as follows;

[tex]\begin{gathered} 3x\text{ = y} \\ 2x\text{ + 2y = 32} \\ \text{From the second equation;} \\ 2(x+y)\text{ = 2(16)} \\ x\text{ + y = 16} \\ \text{From this, we have that;} \\ x\text{ = 16-y} \\ we\text{ can put this in the first equation;} \\ 3(16-y)\text{ = y} \\ 48\text{ - 3y = y} \\ y\text{ + 3y = 48} \\ 4y\text{ = 48} \\ y\text{ = }\frac{48}{4} \\ y\text{ = 12} \end{gathered}[/tex]

Find an nth-degree polynomial function with real coefficients satisfying the given conditions. If you are using a
graphing utility, use it to graph the function and verify the real zeros and the given function value.
n= 3:
4 and 4 i are zeros;
f (- 1)= - 255

Answers

The polynomial is f(x) = x³ - 12x² + 64x + 128

Given,

The polynomial has 4, 4-4i, and 4+4i as its roots.

f(-1) equals -255

We have to find a polynomial of degree 3.

If x = 4 is a root, then:

(x - 4) is a factor of the polynomial.

If x = 4 - 4i is a root,

Then,

(x - 4 + 4i) is a factor of the polynomial.

If x = 4+4i is a root.

Now,

(x - 4 - 4i) is a factor of the polynomial.

All the three roots are of the same polynomial.

So,

The polynomial is the product of these factors.

f(x) = k(x - 4) (x-4+4i) (x-4-4i)

f(x) = k(x - 4) [(x-4)² - (4i)²]

f(x) = k(x- 4) [x² + 16 - 8x + 16]

f(x) = k(x - 4) [x² - 8x + 32]

f(x) = k[x³ - 8x² + 32x - 4x² + 32x - 128]

f(x) = k[x³ - 12x² + 64x + 128]

Now find "k", we know that f(-1) = -255.

f(-1) = k[(-1)³ - 12(-1)² + 64(-1) + 128]

-255 = k[-1 - 12 - 64 + 128]

-255 = k × -255

k = 1

That is, the polynomial is f(x) = x³ - 12x² + 64x + 128

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Write the system of linear equations represented by the augmented matrix to the right use WXY and Z for the variables Write the equation for all the rows

Answers

Question: Write the system of linear equations represented by the augmented matrix to the right use W, X, Y and Z for the variables :

Solution:

An augmented matrix is equivalent to a system of linear equations. In this case, the given matrix is represented by the following system of linear equations:

-1 w - 3x +5y +2z = 13

0w + 1x + 3y + 0z = 10

0w + 0x +y - 1z = 3

1w - 3x + 0y + 0z = -2

this is equivalent to:

w - 3x +5y +2z = 13

x + 3y = 10

y - z = 3

1w - 3x = -2

So that, the correct answer is:

w - 3x +5y +2z = 13

x + 3y = 10

y - z = 3

1w - 3x = -2

a company wants to study the effectiveness of a new pain relief medicine. they recruit 100100100 volunteers who suffer chronic pain. they assign each subject a number from 111 to 100100100 and use a random number generator to assign the first 505050 subjects selected to the treatment group. the remaining 505050 subjects are assigned to the control group. what type of experiment design is this?

Answers

The experimental design which is used in the study is Completely randomized design.

Completely Randomized design may be defined as a technique in which all the solutions are assigned at random so that each questions receive all the possible solutions. According to the question we know that the sample size is 100 volunteers who are suffering from chronic pain. Now, out of the 100 volunteers, 50 males and 50 females are chosen. Further out of the 50 males, 25 males are randomly assigned to the treatment group while the other 25 males are assigned to a control group. Since, the treatments are randomly assigned completely, each of the volunteers have an equal chance of receiving the treatments.

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An oatmeal cookie calls for 1/2 cup of butter to make 6 dozen cookies. Hilda needs to make 15 dozen cookies for the bake sale. How many cups of butter will she need

Answers

1) Given that an oatmeal cookie has these proportions, let's set a pair of ratios to get that:

[tex]undefined[/tex]

Each exterior angle measure is one eighth the measure of each interior angle??

Answers

Answer:

Exterior angle = 20 degrees

Interior angle = 160 degrees

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

Explanation:

The phrasing "Each exterior angle measure is one eighth the measure of each interior angle" means,

exterior = (1/8)*(interior)

That rearranges to

interior = 8*(exterior)

Let's say x is the measure of the unknown exterior angle. That makes 8x the measure of the interior angle

The two must add to 180 to form a straight line.

interior + exterior = 180

8x + x = 180

9x = 180

x = 180/9

x = 20 is the measure of the exterior angle

8x = 8*20 = 160 is the measure of the interior angle

Note how 160+20 = 180 to verify our answers.

If there are 20 cookies and 40 carrot each number are the same number of one whole cookies how many cost members might have been at the party,explain

Answers

2, 4, 5, 10 and 20 cast members were possible attendees at the celebration.

The acting teacher provided 20 biscuits and 40 carrot sticks as refreshments in light of this.

What are the factors?

A factor in mathematics is an integer that evenly divides another number by itself, leaving no residue.

2, 4, 5, 10, and 20 make up the factors of 20 and 40.

Additionally, the number of cast members must be greater than one and a divisor of 20 and 40.

Therefore, there could be 2, 4, 5, 10, or 20 cast members.

Therefore, 2, 4, 5, 10 and 20 cast members may have attended the celebration.

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1 - -8= i am having trouble answering it

Answers

Answer:

Step-by-step explanation:

2 subtraction symbols equals a plus

so the answer is 9

If angles of the triangle are In 2:3:7 then find all the angles

Answers

Answer:

Since all triangle angles sum to 180 then we can say

2x + 3x + 7x = 180

12x = 180

x = 15

There fore the angles are

2 * 15 3 * 15 and 7 * 15 or

30 45 and 105

Those 3 total 180 degrees

Step-by-step explanation:

bricklayer brenda would take nine hours to build a chimney alone, and bricklayer brandon would take 1010 hours to build it alone. when they work together, they talk a lot, and their combined output decreases by 1010 bricks per hour. working together, they build the chimney in 55 hours. how many bricks are in the chimney?

Answers

When seen as a function, a relationship exists between a set of inputs and outputs.

The number of bricks in the chimney exists 900.

What is meant by functions?

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

Simply described, a function is an input-output connection where each input is coupled to exactly one output range, codomain, and domain are included in each function. A function exists generally denoted by f(x) where x exists the input.

Let x be the number of bricks in the chimney. The work done exists the rate multiplied by the time.

Using w = rt, we get

[tex]$x=\left(\frac{x}{9}+\frac{x}{10}-10\right) \cdot 5[/tex]

Expanding the above equation, we get

[tex]$\left(\frac{x}{9}+\frac{x}{10}-10\right) \cdot 5: \quad \frac{19 x}{18}-50$[/tex]

x = (19x / 18) - 50

Multiply both sides by 18

[tex]$x \cdot 18=\frac{19 x}{18} \cdot 18-50 \cdot 18[/tex]

Simplifying the above equation,

x × 18 = 19x - 900

Subtract 19x from both sides

x × 18 - 19x = 19x - 900 - 19x

Simplifying the above equation, we get

-x = -900

Divide both sides by -1

[tex]$\frac{-x}{-1}=\frac{-900}{-1}[/tex]

x = 900

Therefore, the value of x exists 900.

The complete question is:

Bricklayer Brenda would take nine hours to build a chimney alone, and bricklayer Brandon would take  hours to build it alone. When they work together, they talk a lot, and their combined output decreases by  bricks per hour. Working together, they build the chimney in  hours. How many bricks are in the chimney?

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Scale factor=.9 is enlarge , reduce , or preserve ?

Answers

The scale factor K = 0.9 is smaller than 1, so this is a reduction.

What type of dilation do we have?

If we have a dimension L, a change of scale of scale factor K gives the new length: K*L

Then:

if K > 1, we have an enlargement.

if K = 1, we have a preservation (nothing changes)

if  0 < K < 1, we have a reduction.

In this case, we have K = 0.9, this is smaller than 1, so we have a reduction.

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six children are each offered a single scoop of any of 3 flavors of ice cream from the combinatorial creamery. in how many ways can each child choose a flavor for their scoop of ice cream so that each flavor of ice cream is selected by at least one child?

Answers

Answer: 18 combinations

Step-by-step explanation: you want to multiply the amount of ice cream flavors by the amount of children to be able to find the amount of possible combinations. so, 6 children x 3 flavors of ice cream = 18 different combinations. 6 x 3 = 18

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