PLEASE HELP ME, THANK YOU!!!!!

PLEASE HELP ME, THANK YOU!!!!!

Answers

Answer 1

The standard form of the given polynomial is x⁶ + 53x⁵ + 2x⁴ - 2 which has a highest degree of 6 while the leading coefficient is 1. This polynomial is called a quadrinomial because it has 4 terms

What is a Polynomial

A polynomial is an equation that only uses addition, subtraction, multiplication, and non-negative integer exponents of variables and consists of variables (also known as indeterminates) and coefficients. Algebra, calculus, and numerical analysis are just a few of the mathematics and scientific disciplines that use polynomials.

In the presented problem, we must determine the terms, variables, coefficients, and other properties of the polynomial f(x).

f(x) = 2x⁴ + 53x⁵ - 2 + x⁶

The standard form of this polynomial is x⁶ + 53x⁵ + 2x⁴ - 2

The degree of the polynomial is 6

The leading coefficient is 1 which is the coefficient of the degree of the polynomial

This is called a Quadrinomial because it has 4 terms

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Related Questions

What percentage of the shape is pink?
Write your answer using a percent sign (%).

Answers

Answer:

13%

Step-by-step explanation:

Since this is a ten by ten square there are 100 small squares located in the whole shape. There are 13 pink squares and 13/100 can be written as 13%. Anything over 100 can be put as a percentage.

What is the following sum?
2(√/16x³y)+4[2√/54x6y5)
0 4x(2/2y) + 12x²y[2√/2y²)
8x(3√x+12x³y² (3/6y)
16x³y (2√/2y²)
O 48x³y (2/2y)
O

Answers

The sum of the given expressions is:

2(√/16x³y)+4[2√/54x6y5)

0 + 4x(2/2y) + 12x²y[2√/2y²)

8x(3√x+12x³y² (3/6y)

16x³y (2√/2y²)

48x³y (2/2y)

This simplifies to:

2(√/4x³y) + 4(√/9x²y) + 4x(1/y) + 12x²y(√/y) + 8x(3√x/3y) + 16x³y(1/y) + 48x³y(1/y)

Which further simplifies to:

(4/x²y) √ + (8/3xy) √ + (4/y) x + (12/y) x²y + (8/3y) x √ + (16/y) x³y + (48/y) x³y

This is the final simplified form of the sum.

Carrie is making a colorful beaded necklace. She has 3 times as many green beads as red beads, and twice as many blue beads as green beads. If she has 150 beads all together, how many of the beads are blue? O 30O 45O 90O 75

Answers

The number of blue beads is; 90

If Carrie has 150 beads all together, and 3 times as many green beads as red beads, and twice as many blue beads as green beads. Then we can set up the following equation:

x + (3x) + (2(3x)) = 150

where x is the number of red beads.

Solving for x, we get:

x + 3x + 6x = 150

10x = 150

x = 15

So there are 15 red beads, 45 green beads (3 * 15), and 90 blue beads (2 * 45).

Therefore, the answer is 90 blue beads.

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Point A is at (-2,4) and point C
is at (4,7).


What are the coordinates of point B on AC such that the ratio AB to AC is 1:3

Answers

The coordinates of point B on the line is (-1/2, 19/4)

How to determine the coordinates of point B on the line?

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

Point A is at (-2,4) and point C is at (4,7).

Also, we have the ratio of AB to AC to be 1 : 3

The partition involves dividing the line into subsegments

This means that

(x, y) = (-2, 4) and (4, 7)

m : n = 1 : 3

The coordinates of the partition are calculated as:

Point = 1/(m + n) * (mx₂ + nx₁, my₂ + ny₁)

Substitute the known values in the above equation, so, we have the following representation

Point = 1/(1 + 3) * (1 * 4 + 3 * -2, 1 * 7 + 3 * 4)

Evaluate the products

So, we have the following representation

Point = 1/4 * (-2, 19)

Evaluate the quotients

Point = (-1/2, 19/4)

Hence, the coordinate of the partition is (x,y) = (-1/2, 19/4)

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Select the correct answer.

What is the range of the function f(x) = 4x + 9, given the domain D = {-4, -2, 0, 2}?

A. R = {-7, -1, 9, 17}

B. R = {-17, -9, -1, 17}

C. R = {1, 7, 9, 17}

D. R = {-7, 1, 9, 17}

Answers

The range of the function f(x) = 4x + 9 is R = {-7, 1, 9, 17}. Option D is the correct option.

What is a function?

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.

Given function is f(x) = 4x + 9.

The domain of the function is  D = {-4, -2, 0, 2}.

To find the rage of the function putting x = -4, -2, 0, 2 in the given function:

When x = -4

f(-4) = 4(-4) + 9

f(-4) = -16 + 9

f(-4) = -7

When x = 0

f(0) = 4(-0) + 9

f(0) = 0+ 9

f(0) =9

When x = 2

f(2) = 4(2) + 9

f(2) = 8 + 9

f(2) = 17

The set of the value of f(x) at  x = -4, -2, 0, 2 is the range of the function.

The range of the function is R = {f(-4), f(-2), f(0), f(2)} = {-7, 1, 9, 17}

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12 more than one-fourth of a number is 3

Answers

Answer:

Step-by-step explanation:

-36

Connie can file 100 papers an hour, while Eric can file 80 papers an hour. Working together, how long will it take them to file 900 papers

Answers

Answer:

5 hours

Step-by-step explanation:

100t + 80t = 900

First, you can add 100t to 80t because they are both like terms.

100t + 80t = 900

180t = 900

Now you multiply,

when t = 2,

180*2 = 360

when t = 4,

180*4 = 720

When t = 5,

180*5 = 900

So, it will take them 5 hours to make 900 papers

can i get estimates too
with my answer

Answers

Answer: Yes, you may

Step-by-step explanation: You can get estimates with answers, unless if not noted or specifies if it's a dead-exact answer. Estimates are a great strategy for finding the right path for a correct answer.

a blind taste test will be conducted with 9 volunteers to determine weather people can taste a difference between bottled water and tap water

Answers

The probability that at least 8 out of 9 participants will correctly identify the tap water is 0.0195.

How to illustrate the probability?

From the information, a blind taste test will be conducted with 9 volunteers to determine whether people can taste the difference between bottled water and tap water

Let x be the number of people that correctly identify tap water.

The probability that at least 8 out of 9 participants will correctly identify the tap water will be:

P(x ≥ 8) = P(x = 8) + P(x = 9)

= ⁹C₈ × 0.5⁸ × 0.5^(9-8) + 9C9 × 0.5⁹ × 0.5^(9 - 9)

= 0.0195

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A blind taste test will be conducted with 9 volunteers to determine whether people can taste a difference between bottled water and tap water. Each participant will taste the water from two different glasses and then identify which glass he or she thinks contains the tap water. Assuming that people cannot taste a difference between bottled water and tap water, what is the probability that at least 8 of the 9 participants will correctly identify the tap water?

The Miller family likes to paddle along the North River.
1. They paddled the same distance each day throughout the course of 3 days, traveling a total of 14 miles.
How many miles did they travel each day?
2. If the Millers went half their daily distance each day, but extended their trip to twice as many days, how
far would they travel?

Answers

1) The number of miles that they travelled each day is; 4²/₃ miles

2) The total distance that they will travel here is; 42 miles

How to find the average mean?

1) We are told that the Miller family paddles  the same distance each day throughout the course of 3 days, traveling a total of 14 miles.

Thus;

Total number of miles = 14 miles

Total number of days = 3 days

Thus number of miles that they travelled each day = 14/3 = 4²/₃ miles

2) Now, we are told that they want to go half their daily distance each day. Thus;

Number of miles per day = 14/2 = 7 miles

Total number of days = 2 * 3 = 6 days

Thus, the total distance that they will travel = 7 * 6 = 42 miles

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The length of a rectangle is twice it’s width if the area of the rectangle is 128 cm^2 find it’s perimeter

Answers

Step-by-step explanation:

the area of a rectangle is

length × width

the perimeter of a rectangle is

2×length + 2×width

we know the area of this rectangle :

128 = length × width

and we know that the length is twice the width :

128 = 2×width × width = 2×width²

64 = width²

width = 8 cm

therefore, length = 2×8 = 16 cm

the perimeter is then

2×16 + 2×8 = 32 + 16 = 48 cm

Given that 1 inch = 2.54 cm, how many centimeters are there in 8 feet? Answers may be written using the decimal form and should be rounded to the nearest hundredth when necessary.

Answers

Answer:

243.84 cm

Step-by-step explanation:

(8 ft)(12 in/ft) = 96 in

(96 in)(2.54 cm/in) = 243.84 cm

what is the coefficient of x^8y^9 in the expansion of (3x+2y)^17

Answers

The coefficient of x^8y^9 in the expansion of (3x+2y)^17 is 34459425.

What is coefficient ?

A coefficient is a number or a letter that is used to multiply a variable or a set of variables in an algebraic expression or equation. It is a measure of the strength of the variable with respect to other variables in the equation. Coefficients are often used to represent different physical properties or constants in mathematical models and equations.

To find ,

(a + b)^n = C(n,0)a^n*b^0 + C(n,1)a^(n-1)b^1 + C(n,2)a^(n-2)b^2 + ... + C(n,n-1)a^1b^(n-1) + C(n,n)a^0b^n

Where C(n,k) = n! / (k!(n-k)!) is the binomial coefficient.

In this case, the coefficient of x^8y^9 in the expansion of (3x+2y)^17 is C(17,8) = (1716151413121110)/(87654321) = 34459425.

So the coefficient of x^8y^9 in the expansion of (3x+2y)^17 is 34459425.

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How many swaps are required to sort the given array using bubble sort 4 5 6 7?

Answers

It will take 3 passes to sort this array.

The bubble sort makes multiple passes through a list. It compares adjacent items and exchanges those that are out of order. Each pass through the list places the next largest value in its proper place. In essence, each item “bubbles” up to the location where it belongs.

Bubble sort repeatedly steps through the list to be sorted , compares each pair of an adjacent items and swap them if they are in wrong order.

The pass through the list is repeated until no swap are needed, which indicated that the list is sorted.

Array element : 4 5 6 7

Bubble sort will take maximum n-1 passes to completely sort array of n elements. So here array size is 4,

It will take 3 passes to sort this array.

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Write the piecewise function

Answers

The piecewise function is f(x) = {f(x)=2x, if x≤2

f(x) = {f(x)=2, if x>-4.

What are piecewise functions?

Piecewise functions are functions that have multiple pieces, or sections. They are defined piece by piece, with various functions defining each interval. Piecewise functions can be split into as many pieces as necessary. Each piece behaves differently based on the input function for that interval. Pieces may be single points, lines, or curves.

From the graph,

Domain of one part of line is x>-4 and domain of other part of the line is x≤2.

For increasing part of line m=4/2 =2

Which is intersecting y-axis at (0, 0), so y-intercept is c=0

Then, the function is y=2x+0

So, f(x)=2x

For the second part of line in III quadrant, slope=m=0

Substitute m=0 and (x, y)=(-1, 2) in y=mx+c, we get

2=0(-1)+c

c=2

So, equation is y=2

Now, the piecewise function is

f(x) = {f(x)=2x, if x≤2

f(x) = {f(x)=2, if x>-4

Therefore, the piecewise function is f(x) = {f(x)=2x, if x≤2

f(x) = {f(x)=2, if x>-4.

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At Kinsley's Beading Boutique, 12 out of the 30 beads on clearance are plastic. What percentage of beads on clearance are plastic?

Answers

The percentage of the beads on clearance that are plastic, given the number of beads at Kinsley's Beading Boutique, is 40 %

How to find the percentage ?

To find the percentage, you need to use the proportion of the beads which are plastic, as a portion of the total, and then multiply this figure by 100 %.

In other words, the percentage of the beads on clearance which are plastic can be found by the formula :

= Number of plastic beads / Total beads on clearance x  100 %

Number of plastic beads = 12 beads

Total beads on clearance = 30 beads

The percentage of plastic beads is:

= 12 / 30 x 100%

= 40 %

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Consider f(x) = 3^x. Describe how the graph of each function compares to f.
1. g(x)=3^x+4 2. h(x)=(1/4)^x-5 3.j(x)=3^x+6 -2

Answers

Considering f(x) = 3^x. the graph of each function compares to f as follows

1. g(x) = 3^(x + 4) : translation 4 units to the left

2. h(x) = (1/4)^(x - 5) : vertical stretch by a factor of 12 and translation 5 units to the right.

3. j(x) = 3^(x + 6) - 2 : translation 6 units to the left and 2 units down

How to find the transformation of each functions

Translation say x units to the left is represented by positive x units while to the right is represented by negative x values. the left and right translation is restricted to the x values.

Translation say x units up is represented by positive x units while to the down is represented by negative x values. the top and down translation is restricted to the y values or the function itself.

Using the problem, comparing f(x) = 3^x and g(x) = 3^(x + 4) the difference is +4 hence it results to moving 4 units to the left

Comparing f(x) = 3^x and h(x) = (1/4)^(x - 5)

A factor of 12 is used to to make 1/4 equal to 3 since 1/4 * 12 = 3. this is called a vertical stretch

then (x - 5) is translation of 5 units to the right

Comparing f(x) = 3^x and j(x) = 3^(x + 6) - 2

(x + 6) is a translation 6 units to the left while the -2 represents a translation 2 units down since it is negative 2.

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The post office is 3 miles west of your home. Your school is 2 miles north of the post office. How far is your home from your school? Round your answer to the nearest tenth.

Answers

The post office is 3 miles west of your home. Your school is 2 miles north of the post office therefore the distance of the home from your school is 3.6mile.

What is Distance?

This is referred to as the length of the space between two points and is usually measured in miles or meter.

We were given sides 3 miles west and 2 miles north and the distance will be the hypotenuse of the formed triangle.

c² = a² + b²

c² = 3² + 2²

c² = 9 + 4 = 13

c = √13 = 3.6miles.

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What is 3x0.2
Helppp pliss

Answers

0.6

Step-by-step explanation:

Viscous heating in laminar tube flow (asymptotic solutions). (a) Show that for fully developed laminar Newtonian flow in a circular tube of radius R, the energy equation becomes pè pouma [-- (R)]2+7() -Na (3) (113.2-1) if the viscous dissipation terms are not neglected. Here v may is the maximum velocity in the tube. What restrictions have to be placed on any solutions of Eq. 113.2-12 (b) For the isothermal wall problem (T = T, at r = R for 2 >0 and at z = 0 for all r), find the as- ymptotic expression for T() at large z. Do this by recognizing that at /az will be zero at large z. Solve Eq. 113.2-1 and obtain HUB T-T, = [1-() (113.2-2) 4K (c) For the adiabatic wall problem (q, = 0 at r = R for all z > 0) an asymptotic expression for large z may be found as follows: Multiply Eq. 113.2-1 by rdr and then integrate from r = 0 to r = R. Then integrate the resulting equation over z to get T. - To = (4uV, max/pCR) (113.2-3) in which T, is the inlet temperature at z = 0. Postulate now that an asymptotic temperature profile at large z is of the form T-T, = (44v,max/pĈ,RO)2 + for) (113.2-4) Substitute this into Eq. 113.2-1 and integrate the resulting equation for fr) to obtain 4 доллах T-T; 2 + pĈ R² (113.2-5) after determining the integration constant by an energy balance over the tube from 0 to z. Keep in mind that Eqs. 113.2-2 and 5 are valid solutions only for large z. The complete solu- tions for small z are discussed in Problem 110.2.

Answers

This asking for solutions to the energy equation for fully developed laminar Newtonian flow in a circular tube of radius R.

(a) The energy equation (Eq. 113.2-1) is given with the viscous dissipation terms not neglected.

(b) For the isothermal wall problem (T = T, at r = R for 2 >0 and at z = 0 for all r), the asymptotic expression for T(r) at large z is T-T, = [1-() (113.2-2) 4K

(c) For the adiabatic wall problem (q, = 0 at r = R for all z > 0), an asymptotic expression for large z is given by T-T, = (44v,max/pĈ,RO)2 + for) (113.2-4) and then integrate the resulting equation for fr) to obtain 4 доллах T-T; 2 + pĈ R² (113.2-5) after determining the integration constant by an energy balance over the tube from 0 to z. These solutions are only valid for large z and the complete solutions for small z are not provided in the question.

The expression of temperature

This expression of temperature for a fluid flowing through a circular tube, considering two different conditions of the walls (isothermal and adiabatic) and for large values of distance. The solutions are only asymptotic and only for large values of distance.

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Does the table or graph represent a linear or nonlinear function? explain.

Answers

The table represents a linear function while the graph represents a nonlinear function.

How are linear and nonlinear functions different ?

Linear functions are functions where the relationship between the independent variable (x) and the dependent variable (y) is a straight line. This means that the graph of a linear function is a straight line and the slope (or rate of change) of the line is constant.

On the other hand, nonlinear functions are functions where the relationship between the independent variable (x) and the dependent variable (y) is not a straight line. The graph of a nonlinear function is often a curve, and the slope (or rate of change) of the curve can vary.

In the table, the rate of change is -3 and variables are moving constantly with one increasing and the other decreasing, which makes it a linear function.

The graph is a nonlinear function as the graph is a curve.

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Shaniece has a loyalty card good for a 5% discount at her local hardware store. What would her total in dollars and cents be, after the discount and before tax, if the total cost of all the items she wants to buy is $28.40? Round to the nearest cent.

Answers

The total cost of all the items after the discount is $26.98.

What is the total cost after discount?

A discount makes the price of a good or service cheaper. After a discount is applied, the carrying price of the item drops. If the discount is 5%, the price of the items declines by 5%.

Total cost after the discount = (100 - discount) x total cost of all the items

Total cost after the discount  = (100 - 5)% x $28.40

Total cost after the discount  = 95% x $28.40

Total cost after the discount  = 0.95 x $28.40

Total cost after the discount  = $26.98

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please help i will give brainliest to the best answer that makes sense

Answers

Answer:

  see attached

Step-by-step explanation:

You want a graph of the equation y = -5x +2.

Intercept

The y-intercept is the point where the line crosses the y-axis. It is the value of y when x=0. In the equation, the y-intercept is the constant: +2.

Slope

The slope of the line is the coefficient of x. It is the ratio of "rise" to "run." The equation tells you the slope is -5. This means the line drops 5 units for each unit to the right.

Another point on the line will be (0, 2) +(1, -5) = (1, -3).

The line can be drawn through these points: (0, 2) and (1, -3).

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Solve the following equation for x. 2e^2x - 2e^x - 24 = 0

Answers

Answer:

  x = ln(4) ≈ 1.3862944

Step-by-step explanation:

You apparently want the solution to the equation 2e^(2x) -2e^x -24 = 0.

Solution

This is effectively a quadratic in e^x. Dividing by 2, we get ...

  (e^x)^2 -(e^x) -12 = 0

Factoring gives ...

  ((e^x) -4)((e^x) +3) = 0

Solutions will be the values of x that make the factors zero.

  e^x -4 = 0   ⇒   e^x = 4   ⇒   x = ln(4)

  e^x +3 = 0   ⇒   e^x = -3   ⇒   x = ln(-3) . . . . not defined for real numbers

The only real solution is x = ln(4) ≈ 1.3862944.

__

Additional comment

In the complex numbers, the other solution is x = ln(-3) = ln(3) +πi.

Make x the subject:

Q15) [tex]\frac{\sqrt[2]{x+5} }{4} = y[text] (x plus 15 to the square root over 4 equals y)

Answers

Taking the square of both sides to change the subject of formula, the value of x is 16y² - 5

What is Change of Subject of Formula

By transferring all other terms to the other side of an equation, changing the subject of a formula is a technique for manipulating algebra that is used to isolate a variable on one side of an equation. It is also referred to as "rearranging" or "transposing" a formula.

In order to simplify expressions, solve word problems, or solve equations, it can be helpful to change the subject of a formula.

It's crucial to keep in mind that altering a formula's subject can also alter the function's domain, which could be limited to a particular range of values.

In short, changing a formula's subject allows you to isolate a variable that is on one side of an equation by transferring all other terms to the opposite side of the equation. It's sometimes referred to as "rearranging" or "transposing" a formula. It's a helpful method for resolving equations.

In the given question;

y = √(x + 5) / 4

Square both side;

y² = x + 5 / 16

16y² = x + 5

x = 16y² - 5

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Ashley is comparing banks she has 1,055 to put into a savings account.Bank #1 offers her an annual interest rate of 4.6% while bank #2 offers her a monthly interest rate of 0.3%.If she leaves the money in the account for 2 years,which bank will she earn more interest with?

Answers

The bank that Ashley will earn more interest with, given the annual interest and monthly interest offered, is Bank #1.

How to find the better interest rate for saving ?

To find the bank that is offering her better interest on her savings, which in other words means the bank that Ashely will earn more with, convert the monthly interest to an annual figure.

This is called the Equivalent Annual Rate or EAR and when compared to the annual interest rate offered by Bank #1, we get a clearer picture of which bank has the better rate.

The Equivalent Annual Rate is found as:

= ( 1 + interest / number of periods in year) ^ number of periods in year - 1

= ( 1 + 0. 3% ) ¹² - 1

= 3. 66%

This means that Bank A will give Ashley the better interest at 4.6 %.

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The coordinate grid below shows the distance a delivery truck is from a warehouse, after driving different numbers of hours.
TRUCK DELIVERY
Distance Driven (miles)
600
400
200
01 2 3 4 5 6 7 8
Time Spent Driving (hours)
Write an equation that corresponds to the line in the graph. Explain your equation.

Answers

The linear function corresponding to the line in the graph will be y = 200x - 120000.

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given data,

A linear function is given as,

y = mx + c

Here m is the slope and c is the y-intercept.

The slope m will be as follows,

Slope m = (600 - 400)/(1 - 0)

m = 200

Put m = 200 and (600,0)

0 = 200(600) + c

c = -120000

Thus, the linear equation will be as,

y = 200x - 120000

Hence "y = 200x - 120000 is the linear function that corresponds to the line in the graph.".

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of
Find the domain and range. Then use the drop down
menu to select the correct symbols to indicate your
answer in interval notation.
If a number is not an integer then round it to the
nearest hundredth. To indicate positive infinifty (0)
type the three letters inf. To indicate negative infinity(-
∞) type -inf with no spaces between characters.
5+
44
The domain is: [ #
The range is: [ #
(

Answers

The domain of the points (3, 2) and (-5, 2) are all real numbers.

The Range of the points (3, 2) and (-5, 2) is only the value of y = 2.

What is the domain and range of the function?

The domain of a function is the set of all input values (independent variable) for which the function is defined and produces a valid output (dependent variable). The range of a function is the set of all possible output values (dependent variable) that the function can produce for all valid input values (independent variable).

The domain and range of a set of points in a coordinate plane refer to the set of all possible x-values and y-values, respectively.

The domain of the points (3, 2) and (-5, 2) are all real numbers. So, the domain can be represented as (-inf, inf)

The range of the points (3, 2) and (-5, 2) is only the value of y = 2. So, the range can be represented as {2}

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A company sells video games.
The amount of profit, y, that is
made by the company is related
to the selling price of each
video game, x. Given the
equation below, find at whal
price the video game should be
sold to maximize profit, to the
nearest cent.
y=-x²+89x-747

Answers

To find the price at which the company should sell the video game to maximize profit, we need to find the vertex of the quadratic function y = -x^2 + 89x - 747.

The vertex of a quadratic function in the form y = ax^2 + bx + c is given by the formula:

Vertex = (-b/2a, c - b^2/4a)

Substituting the values from the given equation, we get:

Vertex = (-89/2*-1, -747 - 89^2/4*-1)

Solving for the x-value of the vertex, we get:

x = 44.5

Therefore, the video game should be sold for $44.50 to maximize profit.

Help pleasee, I am stuck on this question and need it done by tonight

Answers

There are four different kinds of transformations: translation, reflection, rotation, and dilation.

Transformations: What Are They?Translation, reflection, rotation, and dilation are examples of the changes that are made to a function by transformations. To create the image, the pre-image, the original image, is modified.There are four different kinds of transformations: translation, reflection, rotation, and dilation. The shape is moved in one direction by translation, in the opposite direction by reflection, 180 degrees by rotation, and a constant amount by dilatation when it is stretched or contracted.There are four different kinds of transformations: translation, reflection, rotation, and dilation.

The complete question is,

Which of the 4 transformation types are they?

To learn more about transformations refer to:

https://brainly.com/question/4289712

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