The perimeter of a rectangle is 60 yards. What are the dimensions of the rectangle with maximum area? Answer How to enter your answer (opens in new window) Length: Width: yards yards

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A: The vertices are (0,−9) and (0,9).   The center of the hyperbola : (h, k)= (0, 0)The length of the…

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Q: 5) Consider f(x) = log (x + 3) a) Solve f(x) = 0 by working backward.

A: f(x)=log⁡(x+3)

Q: 1. Sketch the quadratic y=-3x²-2x-5 in your notebook. Find the vertex of the parabola. Vertex is the…

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Q: Consider the following system of linear equations. 4x+12y=-24 -8x-20y=36 Solve the system by…

A: Consider the following system of linear equations.To solve the system by completing the steps below…

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A: The base(parent) function is,The graph of f(x) shifted right by 2 units.So the new function is given…

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Q: Rewrite 7e2+3t in the form aekt and identify the values of a and k. NOTE: Round your answers to…

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Q: 13 use elimination to solve each system. 2x + 3y = 15 8x+12y= 40

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A: A 5-pound bag of cocoa powder costs $9.62Therefore, the cost of the pound is 1 cup of cocoa powder…

Q: estions 3-4, evaluate the polynomial function. 3. Evaluate the function below for x = 3.…

A: Consider the given functions :And also we have been given that :

Q: 15. Solve -3x2 - 6x+21= 6x + 8 and x

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Q: Jevonte drove 252 miles in 7 hours. Fill out a table of equivalent ratios and plot the points on the…

A: Jevonte drove 252 miles in 7 hours

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A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 2. Evaluate each using the power laws of logarithms without the aid of a calculator. a) log1000-2 b)…

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Q: 3. Using inverse of matrix, determine solution of the following systems of equations : 4x₁ + 8x2 =…

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Q: Se 0.031 =10

A: 5e−0.03t=10

Q: Solve the problem. 36) Suppose $14,000 is invested with 4% interest for 5 yr under the following…

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Q: Answer the questions based on the graph: Domain: Range: -2 Decreasing: ( m Increasing: 2 Constant:…

A: As we can see from the graph,The function is not defined at x=-1 and x=1So the domain is

Q: The percentage of patients P who have survived t years after initial diagnosis of a certain disease…

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Q: 9 4 07 -4 0 3+9 -5 6 63 -4-2 5 11 0 4 7 0

A: we need to add the matrices.

Q: A box contains ten cards labeled Q, R, S, T, U, V, W, X, Y, and Z. One card will be randomly chosen.…

A: Therefore:  ..........(1)Where, N(E)=number of favourable outcomes in a set E;S= sample space= total…

Q: 39. Evaluate the logarithm. Round decimal answers to three decimal places. log, 3

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Q: Use the graph to find the following. Find f(1) Find f(3) -2 f(x)=log, x 2 1 2 3 4

A: We find the function values using the graph of the function.

Q: Factor the trinomial completely 2x²-57²-42 Select the correct choice below and, if necessary, fill…

A: To factor the trinomial completely.

Q: 35e/10 +9=113

A: 35et/10+9=113

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Q: 10) y = 4.5x A) Exponential Function; base = 4.5; initial value = 0 B) Not an exponential function =…

A: The exponential function is a=initial value of function b=growth/decay factor (function base)The…

Q: You want to be able to withdraw $20,000 each year for 15 years. Your account earns 9% interest. a)…

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Q: A mining company owns two mines. These mines produce an ore that can be graded into two classes:…

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Q: Find two numbers a and b such that the following system of linear equations is inconsistent. ax-3y =…

A: A system is said to be inconsistent if no solution exist.For , if , then system is said to be…

Q: Use the elimination method to find all solutions of the system: [x²-2y = -4 x² +5y = 24 The two…

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Q: The first three terms of an arithmetic sequence are as follows. -14, -11, -8 Find the next two terms…

A: Solution-Given sequence is,-14,-11,-8,....

Q: 2y+ x = 4 y = -x + 1

A: 2y+x=4y=−x+1

Q: Answer the questions based on the graph: (-6, 1). -8-6-4-22 8 Decreasing: ( 4 2 Constant: Domain…

A: As we can see from the graph,The function is defined for all real numbers So the domain is .As we…

Q: Use the FOIL method to multiply the binomials (x-4y)(6x+7y) (x-4y)(6x + 7y) = (Simplify your answer)

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Q: 11. What is an equation for the quadratic function through the origin, (10, 2.5), and (-10, 2.5)? y…

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Q: 16 customers entered a store over the course of 4 minutes. Fill out a table of equivalent ratios and…

A: 16 customers entered in a store over the course of 4 minutes

Q: A savings account is started with $20,000. After t years, the amount in the account is given by P(t)…

A: A savings account is started with $20000After t years, the amount in the account is given by…

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Q: Aleah works at the mall and makes an average of $1280 per month. Her rent is $425 per month, and her…

A: Aleah works at the mall and makes an average of $1280 per month.Monthly rent = $425Monthly car…

Q: Suppose that the number of cars manufactured at an automobile plant varies jointly as the number of…

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Q: During Rachel’s birthday party, Rachel thinks about the ages of her parents and herself. Rachel…

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Q: An exponential function f(x) = ab* passes through the points (0, 4000) and (2, 3240). What are the…

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Q: A box has three cards numbered 1, 2, and 3. A bag has three balls labeled A, B, and C Kevin will…

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Q: Evaluate each expression using the values given in the table. - 1 0 2 6 5 3 0 3 2 X f(x) g(x) a.…

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