Estimate the average rate of change over the interval [-1, 0]. Show your work below or on the graph.​

Answer: Jorge baked 74 cookies

To solve this question, you first wanna set up the equation. C=2x37. you then simply multiply  and get your answer

Hope it helps!

Answer:

what is this. I don't known this answer

The measure of the angle is 51 degrees.

If the sum of two angles is ninety levels, then we say that they may be complementary. thus, the supplement of an attitude is received by means of subtracting it from 90. as an example, the supplement of 40° is ninety° - forty° = 50°.

If two attitudes are complementary, the sum in their measure is ninety tiers. So, the measures of the 2 complementary angles are 51 degrees and 39 degrees.

While the sum of angles is equal to ninety ranges, they are known as complementary angles. For example, 30 stages and 60 stages are complementary angles.

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The statement is true. The DecimalFormat class is part of the Java API, specifically within java.text package, so it is automatically available to your programs. You can use it to format numbers in various ways, such as for displaying currency or percentages.

DecimalFormat is a concrete subclass of NumberFormat that formats decimal numbers. It has a variety of features designed to make it possible to parse and format numbers in any locale, including support for Western, Arabic, and Indic digits. It also supports different kinds of numbers, including integers (123), fixed-point numbers (123.4), scientific notation (1.23E4), percentages (12%), and currency amounts ($123). All of these can be localized.

To obtain a NumberFormat for a specific locale, including the default locale, call one of NumberFormat's factory methods, such as getInstance(). In general, do not call the DecimalFormat constructors directly, since the NumberFormat factory methods may return subclasses other than DecimalFormat. If you need to customize the format object, do something like this:

NumberFormat f = NumberFormat.getInstance(loc);

if (f instanceof DecimalFormat) {

    ((DecimalFormat) f).setDecimalSeparatorAlwaysShown(true);

}

A DecimalFormat comprises a pattern and a set of symbols. The pattern may be set directly using applyPattern(), or indirectly using the API methods. The symbols are stored in a DecimalFormatSymbols object. When using the NumberFormat factory methods, the pattern and symbols are read from localized ResourceBundles

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True. The Decimal Format class is a part of the Java API and is included in the java.text package.

It is automatically available to Java programs without the need for any additional installations or imports.

The Decimal Format class is part of the Java API, and it is automatically available to your programs.

The Java API is a collection of pre-written classes, methods, and interfaces that are part of the Java Development Kit (JDK).

These classes and methods provide a wide range of functionalities that can be utilized by Java developers to build robust applications.
The Decimal Format class, specifically, is a subclass of the Number Format class and is used to format decimal numbers according to a specific pattern.

The class provides methods to format and parse decimal numbers and can be used to specify the number of digits after the decimal point, the use of a thousand separator, and the currency symbol.
The Decimal Format class in your Java program, you simply need to import the class using the import statement, and then create an instance of the class.

For example:
import java. text. Decimal Format.
public class MyClass

{
public static void main (String [] args) {
Decimal Format df = new Decimal Format("#.00");
double num = 1234.5678
System.out.println(df.format(num));
}
}
The Decimal Format class using the import statement, and then create an instance of the class called df.

We then use the format method of the class to format the decimal number 1234.5678 with two decimal places.
The Decimal Format class is an essential part of the Java API and is automatically available to your programs.

Its inclusion in the Java API makes it easier for Java developers to format decimal numbers in their applications.

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Answer:

D, X^2 -18 + 81 = -45 + 81

Step-by-step explanation:

it is complating squer method that used for solving x in a quadratic equetion . in this step you will add

(y/2)^2 if y is the cofitient of x .

If the mean of five values is 10.2 and four of the values are 7, 14, 10, 13 then fifth value is 7.

Mean = (sum of all values) / (number of values)

We know that the mean of the five values is 10.2 and four of the values are given as 7, 14, 10, and 13.

Let's denote the fifth value as x. We can set up the equation as follows:

(7 + 14 + 10 + 13 + x) / 5 = 10.2

Now, let's solve for x by isolating it on one side of the equation:

7 + 14 + 10 + 13 + x = 10.2 × 5

44 + x = 51

x = 51 - 44

x = 7

Therefore, the fifth value is 7.

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Answer:

\(y \: \alpha \: {(x + 2)}^{3} \\ y = k {(x + 2)}^{3} \\ k \: is \: a \: constant \\ when \: x = 0 \: \: y = 32 : \\ 32 = k {(0 + 2)}^{3} \\ 32 = k(8) \\ k = 4 \\ \therefore \: y = 4 {(x + 2)}^{3} \\ when \: x \: is \: 1 : \\ y = 4 {(1 + 2)}^{3} \\ y = 4 \times 27 \\ y = 108\)

Marty's taxable income of $510,000 falls within the last tax bracket, his marginal tax rate would be 37%.

To determine Marty's marginal tax rate, we need to refer to the tax brackets for the given year. However, as my knowledge is based on information up until September 2021, I can provide you with the tax brackets for that year. Please note that tax laws may change, so it is always best to consult the current tax regulations or a tax professional for accurate information.

For the 2021 tax year, the marginal tax rates for individuals are as follows:

10% on taxable income up to $9,950

12% on taxable income between $9,951 and $40,525

22% on taxable income between $40,526 and $86,375

24% on taxable income between $86,376 and $164,925

32% on taxable income between $164,926 and $209,425

35% on taxable income between $209,426 and $523,600

37% on taxable income over $523,600

Since Marty's taxable income of $510,000 falls within the last tax bracket, his marginal tax rate would be 37%. However, please note that tax rates can vary based on changes in tax laws and regulations, so it's essential to consult the current tax laws or a tax professional for the most accurate information.

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Answer:

82.236

Step-by-step explanation:

20% of 65 is 12

65+12=77 before tax

6.8% of 77=5.236

77+5.236=82.236

The inverse square law is given below.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Inverse square law states that the intensity of the radiation is inversely proportional to the square of the distance.

If intensity = I and distance = x

Then

I ∝ 1/x²

Thus,

The inverse square law is given above.

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area of trapezoid

A=(a+b/2)h

the answer is c 20mm²

The probability that a randomly selected box of cold medicine will cost more than $13 is 0.4542 or 45.42%.


Given the mean of the normally distributed cold medicine = $12.75 and the standard deviation = $2.15 and the random variable x, the probability of a randomly selected box of cold medicine costing more than $13 needs to be found.
Now, as we are given mean and standard deviation, we can standardize the normal distribution and then use the Z table or calculator to find the probability.
The formula for standardizing the normally distributed curve:
Z = (X - μ) / σ
where
Z = Standardized score
X = Score value
μ = Mean
σ = Standard deviation
Here, we have to find the probability of a randomly selected box of cold medicine will cost more than $13.
So, the formula becomes:
Z = (X - μ) / σ = ($13 - $12.75) / $2.15 = 0.116
Using the Z-table, the area to the left of Z = 0.116 is 0.5458
Thus, the probability that a randomly selected box of cold medicine will cost more than $13 is:
1 - 0.5458 = 0.4542 or 45.42%
Therefore, the probability of a randomly selected box of cold medicine costing more than $13 is 0.4542 or 45.42%.

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Answer:

The simple interest is calculated by multiplying the principal amount by the interest rate and the number of years.

Simple Interest = Principal x Interest Rate x Time

The simple interest on Boden's account is:

800 x 3.2% x 4 = 800 x 0.032 x 4 = $256

To find the total amount in the account after 4 years, we add the interest to the principal:

800 + 256 = $1056

So, Boden's account will have $1056 after 4 years.

Answer:

1. x = 14

2. (14, 115.18)

3. If the cost was 115.18 dollars, then the number of rooms cleaned was 14.

Step-by-step explanation:

The goal of this exercise is to teach you how to create formulas for story problems and substitute variables in equations to find solutions.

To do the first question, you simply have to make the equation from the story problem.

These equations are usually in the slope intercept form, y = mx + b

C(x) is the same as y, so begin by replacing it for simplicity.

If x represents the number of rooms cleared, that means that the cost for each room would be 7.87x. There's also a reservation fee of $5, which means your y-intercept is 5.

y = 7.87x + 5

Now we can substitute variables to solve the equation.

To find x when C(x) = 115.18, we substitute y for 115.18.

115.18 = 7.87x + 5

Subtract 5 from both sides:

110.18 = 7.87x

Divide both sides by 7.87:

14 = x

So we have our first answer. When C(x) = 115.18, x = 14.

The second answer can be easily completed. Ordered pairs are written as (x,y), so we substitute the variables for their values.

This means, as an ordered pair, the answer is (14,115.18).

The sentence would be "If the cost was 115.18 dollars, then the number of rooms cleaned was 14.

Hope this helped!

The response y(t) graphically, we can first plot the individual functions h(t) and x(t) on a graph, and then determine their convolution to obtain y(t). Let's go step by step:

Plotting h(t):

The function h(t) is defined as h(t) = [u(t-1) - u(t-4)].

The unit step function u(t-a) is 0 for t < a and 1 for t ≥ a. Based on this, we can plot h(t) as follows:

For t < 1, h(t) = [0 - 0] = 0

For 1 ≤ t < 4, h(t) = [1 - 0] = 1

For t ≥ 4, h(t) = [1 - 1] = 0

So, h(t) is 0 for t < 1 and t ≥ 4, and it jumps up to 1 between t = 1 and t = 4. Plotting h(t) on a graph will show a step function with a jump from 0 to 1 at t = 1.

Plotting x(t):

The function x(t) is defined as x(t) = t[u(t) - u(t-2)].

For t < 0, both u(t) and u(t-2) are 0, so x(t) = t(0 - 0) = 0.

For 0 ≤ t < 2, u(t) = 1 and u(t-2) = 0, so x(t) = t(1 - 0) = t.

For t ≥ 2, both u(t) and u(t-2) are 1, so x(t) = t(1 - 1) = 0.

So, x(t) is 0 for t < 0 and t ≥ 2, and it increases linearly from 0 to t for 0 ≤ t < 2. Plotting x(t) on a graph will show a line segment starting from the origin and increasing linearly with a slope of 1 until t = 2, after which it remains at 0.

Obtaining y(t):

To obtain y(t), we need to convolve h(t) and x(t). Convolution is an operation that involves integrating the product of two functions over their overlapping ranges.

In this case, the convolution integral can be simplified because h(t) is only non-zero between t = 1 and t = 4, and x(t) is only non-zero between t = 0 and t = 2.

The convolution y(t) = h(t) * x(t) can be written as:

y(t) = ∫[1,4] h(τ) x(t - τ) dτ

For t < 1 or t > 4, y(t) will be 0 because there is no overlap between h(t) and x(t).

For 1 ≤ t < 2, the convolution integral simplifies to:

y(t) = ∫[1,t+1] 1(0) dτ = 0

For 2 ≤ t < 4, the convolution integral simplifies to:

y(t) = ∫[t-2,2] 1(t - τ) dτ = ∫[t-2,2] (t - τ) dτ

Evaluating this integral, we get:

\(y(t) = 2t - t^2 - (t - 2)^2 / 2,\) for 2 ≤ t < 4

For t ≥ 4, y(t) will be 0 again.

Maximum value of y(t):

To find the value of t at which y(t) reaches its maximum value, we need to examine the expression for y(t) within the valid range 2 ≤ t < 4. We can graphically determine the maximum by plotting y(t) within this range and identifying the peak.

Plotting y(t) within the range 2 ≤ t < 4 will give you a curve that reaches a maximum at a certain value of t. By visually inspecting the graph, you can determine the specific value of t at which y(t) reaches its maximum.

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Answer:

61 over 4 haircuts per day

A ratio has two or more numbers that symbolize relation to each other. Ratios are used to compare numbers, and you can compare them using division.

A way to solve for the number of haircuts per day is to use this equation:

You could also use this fraction:

Inserting the numbers into the fraction::

Therefore, the rate for a ratio using the two different quantities is 61 over 4 haircuts per day.

The correct answer is B. The graph shows the amount of water in a sink after several minutes, so it is a decreasing function.

Graph is a mathematical structure used to represent connections or relationships between objects. It consists of nodes, which are connected by edges. Graphs are used in computer science and other fields to represent networks of communication, data organization, computational devices, the flow of computation, and other objects. Graphs are also used to represent the abstract connections between objects in a more visual way. Graph theory is the study of graphs and their properties.

Option B, y = -3/2x + 5, is a linear function with a negative slope, which is the correct representation for this situation. This equation can be used to find the amount of water in the sink after any given number of minutes.

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The volume of the region is \(4π[(1+√2)^3 - 1]\) cubic units.

The volume of the region can be found using the triple integral in cylindrical coordinates as follows:

The region of interest is bounded below by the plane z=0, and above by the hyperboloids z = sqrt(26) and \(z = sqrt(1 + x^2 + y^2)\). In cylindrical coordinates, these surfaces have equations:

z = 0

\(z = sqrt(26)\)

\(z = sqrt(1 + r^2)\)

Since the region is symmetric about the z-axis, we only need to consider the volume in the first octant, and then multiply by 8 to get the total volume.

The limits of integration for r and theta are 0 to infinity and 0 to pi/2, respectively. For z, we integrate from the plane z=0 to the hyperboloid\(z = sqrt(1 + r^2)\) for each value of r and theta. Therefore, the integral can be written as:

\(V = 8 * ∫[0, pi/2]∫[0, ∞]∫[0, sqrt(1 + r^2)] r dz dr dθ\)

The integral can be evaluated as follows:

\(V = 8 * ∫[0, pi/2]∫[0, ∞]∫[0, sqrt(1 + r^2)] r dz dr dθ\)

\(= 8 * ∫[0, pi/2]∫[0, ∞] r(sqrt(1 + r^2)) dr dθ\)

\(= 8 * ∫[0, pi/2] [1/2 * (1 + r^2)^(3/2)]|[0, ∞] dθ\)

\(= 4 * pi * [(1 + √2)^3 - 1]\)

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51.75 is the amount of VAT.

How does the VAT work?

=  15% of VAT on  Rs 345

= 345 * 15%

= 345 * 15/100

= 51.75

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Answer:

110

Step-by-step explanation:

Answer:

(0, 4) and (-1, 0)

Step-by-step explanation:

Given system of equations:

\(\begin{cases}y=2x^2+6x+4\\y=-4x^2+4\end{cases}\)

Solve by substitution

Substitute the first equation into the second:

\(\implies 2x^2+6x+4=-4x^2+4\)

Add 4x² to both sides:

\(\implies 2x^2+6x+4+4x^2=-4x^2+4+4x^2\)

\(\implies 6x^2+6x+4=4\)

Subtract 4 from both sides:

\(\implies 6x^2+6x+4-4=4-4\)

\(\implies 6x^2+6x=0\)

Factor out 6x from the left side:

\(\implies 6x(x+1)=0\)

Therefore:

\(\implies 6x=0 \implies x=0\)

\(\implies x+1=0 \implies x=-1\)

To find the y-coordinates of the found x-values, substitute the found values of x into one of the equations:

\(x=0 \implies -4(0)^2+4=4 \implies (0,4)\)

\(x=-1\implies -4(-1)^2+4=0\implies (-1,0)\)

Therefore, the solutions to the system of equations are:

(0, 4) and (-1, 0)

Answer:

Solutions:

a) x = 0, y = 4 ⇒ (0, 4)

b) x = -1, y = 0 ⇒ (-1, 0)

Step-by-step explanation:

Given system of equations:

a) y = 2x² + 6x + 4

b) y = -4x² + 4

1. Substitute the value of y in the second equation into the first equation:

⇒ -4x² + 4 = 2x² + 6x + 4

2. Solve for x:

⇒ -4x² + 4 = 2x² + 6x + 4 [subtract 4 from both sides]

⇒ -4x² + 4 - 4 = 2x² + 6x + 4 - 4

⇒ -4x² = 2x² + 6x [subtract 2x² from both sides]

⇒ -4x² - 2x² = 2x² - 2x² + 6x

⇒ -6x² = 6x [subtract 6x from both sides]

⇒ -6x² - 6x = 6x - 6x

⇒ -6x² - 6x = 0 [factor out -6x from the equation]

⇒ -6x(x + 1) = 0

Two cases:

a)

⇒ -6x = 0 [divide both sides by -6]        

⇒ -6x ÷ -6 = 0 ÷ -6

⇒ x = 0

b)

⇒ x + 1 = 0 [subtract 1 from both sides]

⇒ x + 1 - 1 = 0 - 1

⇒ x = -1

3. Find the value of y by substituting the found x values into one of the given equations:

a) x = 0:

⇒ y = -4x² + 4

⇒ y = -4(0)² + 4

⇒ y = -4(0) + 4

⇒ y = = 0 + 4

⇒ y = 4

coordinate: (0, 4)

b) x = -1:

⇒ y = -4x² + 4

⇒ y = -4(-1)² + 4

⇒ y = -4(1) + 4

⇒ y = -4 + 4

⇒ y = 0

coordinate: (-1, 0)

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Answer:

7

Step-by-step explanation:

1) Simplify 5 - 4 to 1.

2² + 1 × 3

2) Simplify 2² to 4.

4 + 1 × 3

3) Simplify 1 × 3 to 3.

4 + 3

4) Simplify.

Answer:

Find f(x) given that f'(x) = 10x4 - 12x³ + 8e-4x + 7 and f(0) = -9. {8 pts}

Step-by-step explanation:

Suppose that $696 is invested at 9.19% interest compounded quarterly. How much is in the account after 12 years? Round your answer to the nearest cent; do not enter the $ sign.mmer 2022 ome llabus odules norlock wickly Attendance Fades marthinking Online toring edia Gallery y Medial HW 4.1: Exponential Functions Score: 111.67/170 10/17 answered Question 11 < >. $3000 are invested in a bank account at an interest rate of 10 percent per year. Find the amount in the bank after 5 years if interest is compounded annually. Find the amount in the bank after 5 years if interest is compounded quaterly. Find the amount in the bank after 5 years if interest is compounded monthly. Finally, find the amount in the bank after 5 years if interest is compounded continuously

Answer:

2x^2 +11

Step-by-step explanation:

f(x) = 3x^2 +2

g(x) = x^2 -9

f(x) - g(x) = 3x^2 +2 - (x^2 -9)

 Distribute the minus sign

        = 3x^2 +2 -x^2 +9

    Combine like terms

         = 2x^2 +11

Answer:

2x² + 11

Step-by-step explanation:

f(x) - g(x)

(3x² + 2) - (x² - 9)

Rearrange.

3x² - x² + 2 + 9

Add or subtract like terms.

2x² + 11

The function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1 and the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

To analyze the provided pseudo code for matrix multiplication and determine the function T(n) in terms of the number of operations, we need to examine the code and count the number of operations performed.

The pseudo code for matrix multiplication may look something like this:

```

MatrixMultiplication(A, B):

   n = size of matrix A

   C = empty matrix of size n x n

   for i = 1 to n do:

       for j = 1 to n do:

           sum = 0

           for k = 1 to n do:

               sum = sum + A[i][k] * B[k][j]

           C[i][j] = sum

   return C

```

Let's break down the number of operations step by step:

1. Assigning the size of matrix A to variable n: 1 operation

2. Initializing an empty matrix C of size n x n: n^2 operations (for creating n x n elements)

3. Outer loop: for i = 1 to n

- Incrementing i: n operations  

- Inner loop: for j = 1 to n

- Incrementing j: n^2 operations (since it is nested inside the outer loop)

- Initializing sum to 0: n^2 operations

- Innermost loop: for k = 1 to n

- Incrementing k: n^3 operations (since it is nested inside both the outer and inner loops)

- Performing the multiplication and addition: n^3 operations

- Assigning the result to C[i][j]: n^2 operations

- Assigning the value of sum to C[i][j]: n^2 operations

Total operations:

1 + n^2 + n + n^2 + n^3 + n^3 + n^2 + n^2 = 2n^3 + 3n^2 + 2n + 1

Therefore, the function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1

To determine the asymptotic (big O) complexity of the algorithm, we focus on the dominant term as n approaches infinity.

In this case, the dominant term is 2n^3. Hence, the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

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The null hypothesis can be rejected at α = 0.01 but not at α = 0.05 level of significance. Hence the correct option is option (c)Fail to reject H, at a=0.05 but reject at a =0.01.

A 95% confidence interval for the proportion of viewers of a certain reality television show who are over age 30 is (0.26, 0.35). The show's producers want to test the hypothesis H.: p=0.25 against H:p=0.25. The appropriate conclusion that the producers can draw is that they can fail to reject H, at a=0.05 but reject at a =0.01.

Hypothesis testing is a systematic procedure for selecting the best feasible hypothesis for a particular set of data. It is a decision-making method for statistical hypothesis testing of the validity of a statement regarding a population parameter.

The following are the hypothesis statements of the problem:

Hypothesis H0: p = 0.25 (Null Hypothesis)Hypothesis Ha: p ≠ 0.25 (Alternative Hypothesis)Hypothesis testing at α = 0.05 level of significance can be performed using the following formula:

Z= (p - Po) / [Po (1 - Po)/ n]Where, Po = 0.25p = (0.26+0.35)/2 = 0.305n = (Zα/2/ E)^2 = (1.96 / 0.04)^2 = 240.1Z = (0.305 - 0.25) / [0.25 (1 - 0.25)/ 240.1] = 3.18For a two-tailed test at α = 0.05, the Z critical values are Zα/2 = ±1.96.The Z value calculated (3.18) is greater than Z critical value (1.96).

Therefore, the null hypothesis can be rejected at α = 0.01 but not at α = 0.05 level of significance. Hence the correct option is option (c)Fail to reject H, at a=0.05 but reject at a =0.01.

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Answer:

irrigation

Step-by-step explanation:

Irrigation is the process of applying controlled amounts of water to plants at needed intervals. Irrigation helps to grow agricultural crops, maintain landscapes, and revegetate disturbed soils in dry areas and during periods of less than average rainfall.

The coordinates which are the best estimate of the solution to the system of equations is: D. (1, 4), begin ordered pair 1 comma 4 end ordered pair.

In order to graphically determine the solution for this system of linear equations on a coordinate plane, we would make use of an online graphing calculator to plot the given system of linear equations while taking note of the point of intersection;

2x + 3y = 12            ......equation 1.

4x + 2y = 10      ......equation 2.

Based on the graph shown (see attachment), we can logically deduce that the solution for this system of linear equations is the point of intersection of each lines on the graph that represents them, which is represented by this ordered pair [0.8, 3.6] ≈ [1, 4].

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The dimensions of the rectangle will be 16 inches long and 7 inches wide,

Let W be the rectangle's width and L its length.

The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be

Area of the rectangle = L × W square units

The length of a rectangular poster is 2 more inches than two times its width. The area of the poster is 112 square inches. Then the equations are given as,

LW = 112           ...1

L = 2W + 2       ...2

From equations 1 and 2, then we have

(2W + 2)W = 112

2W² + 2W - 112 = 0

W² + W - 56 = 0

W² + 8W - 7W - 56 = 0

W(W + 8) - 7(W + 7) = 0

(W + 8)(W - 7) = 0

W = 7, -8

Neglect - 8 because of negative signs. Then the length is given as,

L = 2 x 7 + 2

L = 14 + 2

L = 16

The dimensions of the rectangle will be 16 inches long and 7 inches wide,

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