the number of applicants to a university last year was 11450. this year, the number of applicants grew by 2%. how many applicants are there this year?

The equation of the asymptote for function f(x) is y = 0.

The equation of the asymptote for function g(x) is x = a, where a is a constant.

The equation of the asymptote for function h(x) is y = mx + b, where m and b are constants.

For function f(x), the asymptote is y = 0 since the function approaches zero as x approaches positive or negative infinity.

For function g(x), the asymptote is a vertical line at x = a. This occurs when the function approaches a specific x-value but does not cross it.

For function h(x), the asymptote is a straight line represented by y = mx + b. This occurs when the function approaches a linear relationship as x approaches positive or negative infinity. The values of m and b depend on the slope and y-intercept of the asymptote, respectively.

Learn more about asymptotes in functions here: brainly.com/question/29299049

#SPJ11

The dimensions of the bedroom in the blueprint are approximately 1/9 ft by 1/12 ft.

To find the dimensions of the bedroom in the blueprint, we can use the given scale of 1/4 in = 3 ft.

First, let's convert the dimensions of the actual bedroom into feet:

Length of the actual bedroom = 16 in * (1 ft / 12 in) = 16/12 ft = 4/3 ft

Width of the actual bedroom = 12 in * (1 ft / 12 in) = 12/12 ft = 1 ft

Now, let's use the scale to find the dimensions of the bedroom in the blueprint:

Length of the bedroom in the blueprint = Length of the actual bedroom * Scale

Length of the bedroom in the blueprint = (4/3 ft) * (1/4 in / 3 ft)

Length of the bedroom in the blueprint = 4/3 * 1/12

Length of the bedroom in the blueprint = 4/36

Length of the bedroom in the blueprint = 1/9 ft

Width of the bedroom in the blueprint = Width of the actual bedroom * Scale

Width of the bedroom in the blueprint = (1 ft) * (1/4 in / 3 ft)

Width of the bedroom in the blueprint = 1 * 1/12

Width of the bedroom in the blueprint = 1/12 ft

Therefore, the dimensions of the bedroom in the blueprint are approximately 1/9 ft by 1/12 ft.

Learn more about dimensions here

https://brainly.com/question/28107004

#SPJ11

The work done is 400.0 Joules A force of 80 Newtons pushes a 50-kilogram object across a level floor for 8.0 meters.

To find the work done, we can use the formula:work = force x distance x cos(theta)where force is 80 N, distance is 8.0 m, and theta is the angle between the force and the displacement. Since the force is applied in the direction of motion, theta is 0° and cos(0°) is 1.

we can simplify the formula as:work = force x distance x cos(theta)work = 80 N x 8.0 m x cos(0°)work = 640.0 JHowever, we need to check the units of our answer to make sure they are in Joules (J). The units of force are Newtons (N), the units of distance are meters (m), and the units of cos(theta) are dimensionless. Therefore, our answer is in Joules (J).So, the work done is 640.0 Joules.

To know more about force visit:

https://brainly.com/question/30507236

#SPJ11

The surface area of a sphere is 4πr2, where r is the radius of the sphere. The cost of a sphere is 2 per square foot, so the cost of a sphere with radius r is 8πr2. Selim can spend 20 per sphere, so he can purchase a sphere with radius r such that 8πr2≤20. This inequality can be solved for r to get r≤8π20​​=2π5​​. The diameter of a sphere is 2r, so the maximum diameter of the spheres Selim can purchase is 22π5​​=10π​≈3.162 feet.

1. One of the planes parallel to plane WXT is the plane WXY.2. Two segments parallel to VU are AB and CD.3. Two segments parallel to SW are PQ and RS.4. Two segments skew to XY are QR and PS.5.

Two segments skew to VZ are RT and PU.A plane parallel to plane WXT:Consider the following figure below: Here, WX is parallel to YZ. Now, any plane which passes through any of the point, say X and Y, which lie on the line WX and YZ respectively, will be parallel to plane WXT. One of such plane is plane WXY.

Two segments parallel to VU:Segments AB and CD are parallel to VU in the following figure below:Two segments parallel to SW:Segments PQ and RS are parallel to SW in the following figure below:Two segments skew to XY:Segments QR and PS are skew to XY in the following figure below:Two segments skew to VZ:Segments RT and PU are skew to VZ in the following figure below:

To know more about parallel visit:

brainly.com/question/29775886

#SPJ11

Jen's average speed for the entire round trip, including the outbound and return trips, is 30 mph.

To determine Jen's average speed for the entire round trip, we need to calculate the total distance traveled and the total time taken.

Let's assume the distance between Boston and Cape Cod is "d" miles.

For the outbound trip from Boston to Cape Cod, Jen traveled at a speed of 60 mph. The time taken for this leg of the trip is given by:

Time = Distance / Speed

Time = d / 60

For the return trip, it took Jen 3 times longer due to heavy traffic. Therefore, the time taken for the return trip is 3 times the time taken for the outbound trip:

Time for return trip = 3 * (d / 60) = (3d) / 60

The total time for the round trip is the sum of the outbound and return trip times:

Total Time = d / 60 + (3d) / 60 = (d + 3d) / 60 = 4d / 60 = d / 15

The total distance for the round trip is twice the distance from Boston to Cape Cod:

Total Distance = 2d

Now, we can calculate Jen's average speed by dividing the total distance by the total time:

Average Speed = Total Distance / Total Time

Average Speed = 2d / (d / 15)

Average Speed = 2 * 15

Average Speed = 30 mph

Therefore, Jen's average speed for the entire round trip, including the outbound and return trips, is 30 mph.

Learn more about average speed here

https://brainly.com/question/4931057

#SPJ11

Therefore, the value that needs to be added to (-5)/8 in order to get 5/9 is -5/72.

To get 5/9, what number should be added to (-5)/8?

We can begin the solution by adding "x" to (-5)/8. Then, we will have:((-5)/8) + x = 5/9

The next step is to isolate the variable x, which is accomplished by subtracting (-5)/8 from both sides. The equation becomes:(-5/8) + (5/9) = x

We'll need to find a common denominator for this expression:

((-45)/72) + (40/72) = xSimplifying, we get:

((-45) + 40)/72 = x(-5)/72 = x

To know more about number :

https://brainly.com/question/3589540

#SPJ11

The withdrawal fee of R100.00 is 2% of the transaction amount of R5,000.00.

To calculate the percentage that the withdrawal fee is of the transaction amount, we need to determine the fee amount and then express it as a percentage of the transaction amount.

Let's assume that the withdrawal fee is 2% of the transaction amount. To calculate the fee amount, we multiply the transaction amount by the fee percentage:

Fee Amount = 2% of R5,000.00

= 0.02 * R5,000.00

= R100.00

Therefore, the withdrawal fee is R100.00.

To calculate the percentage of R5000.00, we can divide the fee amount by the transaction amount and then multiply by 100 to express it as a percentage:

Percentage = (Fee Amount / Transaction Amount) * 100

= (R100.00 / R5000.00) * 100

= 2%

Hence, the withdrawal fee of R100.00 is 2% of the transaction amount of R5,000.00.

Learn more about transaction here

https://brainly.com/question/31340449

#SPJ11

Let x be the number of regular bouquets and y be the number of mini bouquets the florist makes.so the florist makes 5 regular bouquets and 15 mini bouquets

Then we can write the following system of equations based on the given information:

6x + 2y = 60

(since each regular bouquet has 6 roses and 2 peonies)

2x + 2y = 40

(since each mini bouquet has 2 roses and 2 peonies)We can use any method to solve this system of equations, but we will use the substitution method. We will solve the first equation for y in terms of x:y = 30 - 3xSubstitute this expression for y into the second equation and solve for

x:2x + 2(30 - 3x) = 402x + 60 - 6x = 40-4x = -20x = 5Substitute x = 5 into the expression we found for y:y = 30 - 3(5) = 15

Therefore, the florist makes 5 regular bouquets and 15 mini bouquets. Another method to solve the system of equations is by graphing: Graph the two equations on the same set of axes and find the intersection point. The x-coordinate of the intersection point will give us the number of regular bouquets, and the y-coordinate will give us the number of mini bouquets. We can see that the intersection point is (5, 15), which agrees with the solution we found using the substitution method.

For more questions  the florist

https://brainly.com/question/28740731

#SPJ8

The dimensions of the rectangle are 16 inches in width and 24 inches in length.

Let's assume the width of the rectangle is x inches. According to the problem, the length is 8 inches greater than the width, so the length can be represented as (x + 8) inches.

The formula for the area of a rectangle is length multiplied by width. In this case, the area is given as 384 square inches. So, we can set up the equation:

Length * Width = Area

(x + 8) * x = 384

Expanding the equation:

x^2 + 8x = 384

Rearranging the equation to solve for x:

x^2 + 8x - 384 = 0

We can solve this quadratic equation by factoring or using the quadratic formula. Factoring it, we find:

(x - 16)(x + 24) = 0

So, x = 16 or x = -24.

Since dimensions cannot be negative, we discard the negative solution. Therefore, the width of the rectangle is 16 inches.

Substituting this value back into the equation for the length:

Length = x + 8 = 16 + 8 = 24 inches

Hence, the dimensions of the rectangle are 16 inches in width and 24 inches in length, which gives an area of 384 square inches.

Learn more about dimensions of the rectangle:

https://brainly.com/question/31677552

#SPJ11

Zoë has 2 times as much money as her brother now. Answer: Zoë has twice as much money as her brother.

Let's find out how much money Zoë had to begin with if she spent 1/3 of her money on a new CD player.Suppose Zoë's brother had $x. Since Zoë had 3 times as much money as her brother, she had $3x to begin with.She spent 1/3 of her money on a new CD player.1/3 of $3x = $xZoë now has $2x remaining after buying the CD player.Since $2x is twice the amount of money her brother has ($x), Zoë has twice as much money as her brother after buying the CD player.

Therefore, Zoë has 2 times as much money as her brother now. Answer: Zoë has twice as much money as her brother.

To know more about money visit:-

https://brainly.com/question/29652006

#SPJ11

To estimate the 7.75% sales tax on a $7.89 item, you should multiply the price by the tax rate. The calculation is straightforward, and you can do it manually or with a calculator. Here's how to do it:

To calculate sales tax, you need to know the cost of the item and the tax rate. In this scenario, you have the item's cost ($7.89) and the tax rate (7.75%).To get the sales tax, you need to multiply the item's cost by the tax rate in decimal form. 7.75% is the same as 0.0775 in decimal form. Therefore, to calculate the tax, you should multiply the price by 0.0775: $7.89 × 0.0775 = $0.61.So, the estimated sales tax on a $7.89 item with a 7.75% tax rate is $0.61.The

To estimate sales tax, multiply the price of the item by the sales tax rate. Follow these steps to calculate the 7.75% sales tax on a $7.89 item:Step 1: Convert the tax rate from a percentage to a decimal.7.75% is the same as 0.0775 in decimal form.Step 2: Multiply the item's cost by the tax rate.Multiply $7.89 by 0.0775 to get the tax amount:$7.89 × 0.0775 = $0.61Step 3: Add the tax to the item's cost.Add the tax to the original price to get the total cost:$7.89 + $0.61 = $8.50

Therefore, the estimated sales tax on a $7.89 item with a 7.75% tax rate is $0.61, and the total cost of the item is $8.50.

To know more about sales tax visit :-

https://brainly.com/question/29442509

#SPJ11

Option B : Locate its manufacturing plant at the raw material site.

Given,

Weight losing raw material to manufacture its finished products .

Here,

Weight loss raw materials are those which loses their weight while production  sugar, iron and steel, and aluminum that lose weight during production.

For example we can take the industries that require minerals for their production works .

Another example is of sugar industry which require weight losing raw material .

Thus the correct option will be B .

Learn more about buoyant force  at:

brainly.com/question/21990136

#SPJ4

the value of n remains indeterminate in this case.To find the value of n in the expression (y^20)(y^-5)^2i equivalent to yn, we can simplify the expression first.

Starting with (y^20)(y^-5)^2i, we can simplify the exponent by multiplying the exponents of y:
(y^20)(y^-5)^2i = y^(20 + (-5 * 2))i = y^(20 + (-10))i = y^10i.

Now, we can equate this simplified expression to yn:
y^10i = yn.

To find the value of n, we can compare the exponents:
10i = n.

Since the imaginary unit i represents the square root of -1, and the exponent in this case is not purely real, we cannot find a specific value for n. Therefore, the value of n remains indeterminate in this case.

 To  learn  more about exponents click here:brainly.com/question/5497425

#SPJ 11

We can conclude that the relationship represented by the given equation is a function. Moreover, the pressure increases as the diver descends below sea level, which is shown by the positive slope (0.445) of the equation.

The equation y = 0.445x + 14.7 represents a situation where a diver descends below sea level. This equation gives the pressure (y) of the water at a depth of x feet below sea level. Here, y is dependent on x. It means that the pressure at a given depth is dependent on that particular depth. Therefore, we can say that the given equation represents a function because for each value of x, there is only one corresponding value of y.

A function is defined as a relation that maps each input value (x) to exactly one output value (y). In other words, it is a set of ordered pairs (x, y), where each value of x is paired with a unique value of y. The equation given above satisfies this definition of a function because it represents a one-to-one relationship between the depth (x) and the pressure (y) of the water.

Therefore, we can conclude that the relationship represented by the given equation is a function. Moreover, the pressure increases as the diver descends below sea level, which is shown by the positive slope (0.445) of the equation.

To know more about Equation  visit :

https://brainly.com/question/29657983

#SPJ11

1: The number closest to zero is not always the least.

2: The number farthest from zero is not always the greatest.

3: The number farthest right is not always the least.

4: The number left is always the least.

The first statement, "The number closest to zero is always the least," is not necessarily true.

It depends on whether the numbers being compared are positive or negative.

For example, -2 is closer to zero than -4, but it is actually greater than -4.

The second statement, "The number farthest from zero is always the greatest," is also not necessarily true.

Just like the first statement, it depends on whether the numbers being compared are positive or negative.

For example, -5 is farther from zero than -3, but -3 is actually greater than -5.

The third statement, "The number farthest right is always the least," is definitely not true.

The direction of the number line (left or right) has nothing to do with whether a number is greater or lesser than another number.

That leaves us with the fourth statement, "The number left is always the least."

This statement is true! On a number line going from negative to positive numbers, the numbers to the left of zero (the negative numbers) are always less than the numbers to the right of zero (the positive numbers).

To learn more about number line visit:

https://brainly.com/question/32029748

#SPJ12

The answer is "The length of the longest side is 6x² - 12x + 16. Here, the total perimeter is given as LaTeX: 16x² + 21x + 16.

As there are five sides, we can express the total perimeter as the sum of all the five sides. Let the length of the longest side be 'l'.

So, the total perimeter is equal to the sum of all five sides, which can be expressed as:  

3x + 8 + 2x² + 4x + 2x² + 2x + 5x² + 3x + 2 + l16x + 21x + 16

= 10x + 9x + l.                                                                                        

Now, we can find the length of the longest side by simplifying the above equation and solving for 'l'.

16x² + 21x + 16 = 10x² + 9x + l

l = 6x² - 12x + 16

Therefore, the length of the longest side is 6x² - 12x + 16.

To know more about perimeter visit:-

https://brainly.com/question/24371813

#SPJ11

The formula of height h = (3v) / (π * r^2)To find the height (h) of a cone given the volume (v) and the radius of the base (r), we can rearrange the equation v = (π * r^2 * h) / 3.

By multiplying both sides by 3 and dividing by π * r^2, we isolate the variable h and obtain the formula h = (3v) / (π * r^2). Substituting the appropriate values for volume and radius into this equation allows us to calculate the height of the cone.

To solve for the height (h) in the equation v = (π * r^2 * h) / 3, we first multiply both sides by 3 to eliminate the fraction. This results in the equation 3v = π * r^2 * h. Next, we isolate the variable h by dividing both sides of the equation by π * r^2, giving us the formula h = (3v) / (π * r^2). By substituting the known values for volume (v) and radius (r) into this equation, we can calculate the height (h) of the cone. It is important to ensure that the units for volume and radius are consistent and compatible to obtain the correct result.

To learn more about radius, click here: brainly.com/question/16234713

#SPJ11

Therefore, the total cost of the knives is $50.

Arithmetic is the fundamental of mathematics that includes the operations of numbers. These operations are addition, subtraction, multiplication and division. Arithmetic is one of the important branches of mathematics, that lays the foundation of the subject 'Maths', for students.

The total cost of the knives is $50.

What is being offered in the television ad?

A set of knives is being offered in the television ad. The knives are being sold for $20 down and $5 a month for six months.How to determine the total cost of the knives?To calculate the total cost of the knives, we will use the formula:

Total cost = Down payment + Monthly payment × Number of monthsTotal cost

= $20 + $5 × 6 = $20 + $30

= $50

To know more about arithmetic:

https://brainly.com/question/15412619?referrer=searchResults

#SPJ11

Jessie made a mistake in Step 1 of solving the equation. The correct equation should be 5b + 9 = 111 instead of 5b + 9 = 11.

In Step 1, Jessie mistakenly wrote the right-hand side of the equation as 11 instead of 111. The correct equation should be 5b + 9 = 111, not 5b + 9 = 11. This error occurred in the process of trying to isolate the variable b by subtracting 9 from both sides of the equation.

Step 2, where Jessie obtained 5b = 3, is correct. However, the mistake in Step 1 led to an incorrect starting point, which affected the subsequent steps.

Therefore, the correct answer is Choice A: Jessie made a mistake in Step 1.

To learn more about equation click here:

brainly.com/question/29657983

#SPJ11

It would take 15/4 or 3.75 hours to paint one full room.

If it takes 3/2 of an hour to paint 2/5 of a room, we can use proportions to find how long it would take to paint one full room. Let's represent the time it takes to paint one full room as x.

Then we have the following proportion:

2/5 room : 3/2 hour = 1 room : x

To solve for x, we can cross-multiply: (2/5) * x = (3/2) * 1

Simplifying the right side gives:(2/5) * x = 3/2

Multiplying both sides by the reciprocal of 2/5 gives us:x = (3/2) / (2/5)

Multiplying by the reciprocal is the same as dividing, so we have:x = (3/2) * (5/2)

Simplifying gives:x = 15/4

Therefore, it would take 15/4 or 3.75 hours to paint one full room.

To know more on proportions visit:

https://brainly.com/question/1496357

#SPJ11

The mean rainfall for the highland storms is 15.27 millimeters, and the mean rainfall for the lowland storms is 12.05 millimeters.

In the dot plots, each dot represents the rainfall total for a spring storm in either the highland or lowland areas. To find the mean rainfall, we calculate the average of all the rainfall values in each plot.

For the highland storms, the mean is 15.27 millimeters, which indicates that, on average, the rainfall for the spring storms in the highland areas is 15.27 millimeters.

For the lowland storms, the mean is 12.05 millimeters, suggesting that the average rainfall for the spring storms in the lowland areas is 12.05 millimeters.

These values provide a measure of the central tendency or average rainfall for the respective areas and can help in comparing the rainfall patterns between the highlands and lowlands.

Learn more about storms  here:

https://brainly.com/question/28576955

#SPJ11

Based on the information, the probability is 1/144, or approximately 0.0069.

Each number cube has 12 possible outcomes, as there are 12 faces labeled from 1 to 12.

The probability of rolling an 11 on one number cube is 1 out of 12, as there is only one face labeled 11 out of the 12 possible outcomes.

Since the two number cubes are rolled simultaneously, the total number of possible outcomes is the product of the possible outcomes for each cube, which is 12 * 12 = 144.

The number of favorable outcomes, in this case, is 1, as both number cubes need to show 11.

Therefore, the probability that both number cubes land with the number 11 facing up in one roll is:

Number of favorable outcomes / Total number of possible outcomes

= 1 / 144

Learn more about probability on

https://brainly.com/question/24756209

#SPJ1

Given a quadrilateral ABCD, with the sides AB and DC parallel and equal in length. Let us denote angle BAD as ∠α and angle ADC as ∠β. Now, we have to find the values of the variables x and y such that ABCD is a parallelogram.

Parallelogram has a pair of parallel sides. So, we have AB ∥ CD. It is given that ∠α = ∠β and AB = CD. So, by angle-angle-side rule, the two triangles ABD and DCA are congruent.

In triangle ABD, we have:∠DAB = 180° - ∠α = 180° - ∠β (as ∠α = ∠β)⇒ ∠DAB + ∠CDA = 180° (linear pair of angles)⇒ ∠CDA = ∠β.In triangle DCA, we have:∠CDA = ∠β (as obtained above)⇒ ∠CAD = ∠α (as ∠α = ∠β)⇒ ∠BDC = 180° - ∠α = 180° - ∠β (linear pair of angles)⇒ ∠BDC = ∠DAB.In quadrilateral ABCD, the adjacent angles are supplementary. So, we have:∠BDC + ∠BCD = 180° (adjacent angles are supplementary)⇒ ∠DAB + ∠BCD = 180° (as ∠BDC = ∠DAB)⇒ ∠BCD = 180° - ∠DAB.In triangle ACD, we have:∠C = ∠C (common)⇒ ∠CAD + ∠BCD = 180° (angles of a triangle add up to 180°)⇒ ∠α + (180° - ∠DAB) = 180°⇒ ∠α + ∠β = 180°.

Now, we can solve for x and y.In triangle ABD, we have:AB = BD⇒ 3x = 21 - x⇒ 4x = 21⇒ x = 21/4.In triangle DCA, we have:CD = DA⇒ 3y = 22 - y⇒ 4y = 22⇒ y = 11/2. Therefore, the value of x is 21/4 and the value of y is 11/2.

To know more about adjacent angles visit:

brainly.com/question/28271243

#SPJ11

With a principal of $7000 earning a 7% annual interest rate compounded annually over 8 years, the total amount accumulated at the end of the period would be $11,595.76.

To calculate the total amount accumulated, we can use the formula for compound interest: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal, r is the interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

In this case, the principal (P) is $7000, the interest rate (r) is 7%, the interest is compounded annually (n = 1), and the number of years (t) is 8.

Using the formula, we have A = 7000(1 + 0.07/1)^(1*8) = 7000(1.07)^8 ≈ $11,595.76.

Therefore, at the end of 8 years, the total amount accumulated would be approximately $11,595.76.

To learn more about Interest rate - brainly.com/question/28272078

#SPJ11

The coefficient is:

Work/explanation:

To find the coefficient of m, we will take a look at the number that comes in front of m.

That number is 9. Hence, that's the coefficient.

Extra info

The length of the diameter of the circle in this problem is given as follows:

20 units.

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

The equation for this problem is given as follows:

(x + 3)² + (y - 4)² = 100.

Hence the measure of the radius is given as follows:

r = 10 units.

The diameter has a measure which is twice the radius, hence:

d = 2 x 10

d = 20 units.

More can be learned about the equation of a circle at https://brainly.com/question/1506955

#SPJ4

The value of y in the pair of points (7, 4) and (3, y), lying on the same line with a slope of 1/4, is y = 5. This is obtained by setting up and solving an equation using the slope formula.

The value of y can be determined by using the slope formula. The slope between two points (x1, y1) and (x2, y2) is given by (y2 - y1) / (x2 - x1). In this case, we have the points (7, 4) and (3, y), with a slope of 1/4. Plugging in the values, we get (y - 4) / (3 - 7) = 1/4. Simplifying this equation, we have (y - 4) / (-4) = 1/4. Cross-multiplying, we get -4(y - 4) = 1(-4), which simplifies to -4y + 16 = -4. Solving for y, we subtract 16 from both sides, giving us -4y = -20. Dividing by -4, we find y = 5.

To summarize, the value of y in the pair of points (7, 4) and (3, y), lying on the same line with a slope of 1/4, is y = 5. This is obtained by setting up and solving an equation using the slope formula.

Learn more about slope here: https://brainly.com/question/29184253

#SPJ11

The polynomial for the perimeter of the rectangle can be expressed as P(n) = 2(2n+8) + 2(n-7), which simplifies to P(n) = 4n + 16 + 2n - 14.

Combining like terms, we get P(n) = 6n + 2. Therefore, the polynomial in standard form for the perimeter of the rectangle is P(n) = 6n + 2.

To find the perimeter of the rectangle, we need to add up the lengths of all four sides. The length of the rectangle is represented by 2n+8, so we have 2 sides of length (2n+8). The width of the rectangle is represented by n-7, so we have 2 sides of length (n-7). To calculate the perimeter, we add up the lengths of all four sides: (2n+8) + (2n+8) + (n-7) + (n-7). Simplifying this expression, we get 6n + 2, which is the polynomial in standard form for the perimeter of the rectangle.

To learn more about polynomial click here: brainly.com/question/11536910

#SPJ11

The polynomial represented by the algebra tiles is: x - 4

Given algebra tile configuration:

3 large tiles, 5 tiles each half the size of a large tile, and 8 tiles each one-quarter the size of a large tile.

Two of the large tiles are labeled plus x squared and 1 is labeled negative x square. Two smaller tiles are labeled plus x and 3 are labeled negative x. Six of the smallest tiles are labeled + and 2 are labeled minus.

In order to find the polynomial represented by the algebra tiles, let us consider the number of positive and negative tiles.

Polynomials represented by the algebra tiles:

There are 2 large tiles labeled as x² and a single large tile labeled as -x²

Hence, the net contribution from these 3 large tiles is equal to

+ x² + (-x²) = 0

Now, let's look at the smaller tiles, there are two tiles labeled +x and three tiles labeled -x.

Therefore, the net contribution from these tiles is equal to

2x + (-3x) = -x

Similarly, six smallest tiles are labeled as positive and two are labeled as negative, thus the net contribution from the smallest tiles is equal to 6 - 2 = 4

Hence, the polynomial represented by the algebra tiles is:

x - 4

To know more about polynomial visit:

https://brainly.com/question/11536910

#SPJ11