Perform the addition and simplify. 4 1 x - 3 x². 4 x + 3 9

Q: Find the surface area of a square pyramid with side length 5 mi and slant height 5 mi

A: a = 5 s = 5 s2 = (1/4)a2 + h2, h=s2-14a2=52-1452=754 =4.3301270189

Q: The height h, in feet, of a ball above the ground t seconds after being thrown upward with a…

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Q: Practice Problems 1) Consider the functions f(x) = x + 2] and g(x) = x + 8. What is the solution to…

A: fx=x+2gx=x+8

Q: (d) State the domain and range of f. (Enter your answers using interval notation.) domain range…

A: Given: f(X)=(x-4)(3x+7)

Q: - If 2ª = 5 and 2b = 3 what is the value of log₂ (75) in terms of a and b?

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Q: Determine the dimension of the matrix. [-10 -10 -8 10 10 10 -1 -6 1 1] X

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Q: For the graph shown below, find all values of x for which f(x) is not differentiable.

A: We have to check where the given function is not differentiable.

Q: 12. Why must the base of a logarithm be positive?

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Q: Finance. A person wishes to have $18,100 cash for a new car 3 years from now. How much should be…

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Q: Find the complex zeros of the following polynomial function. Write f in factored form. f(x) = x² +…

A: To solve the following

Q: Find the area of the shaded region. 20) -3 -2 -1 A) 4112 N - y = x² - 4x +3 34 5 y = x - 1 B) 255 6…

A: Consider the region

Q: An unknown radioactive element decays into non-radioactive substances. In 440 days the radioactivity…

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Q: Solve the equation f(x) = g(x) if f(x) = 8log(x-4) and g(x) = 5 log(x + 1) - 1

A: fx=8logx-4gx=5logx+1-1 We need to solve the equation fx=gx

Q: (a) • use the step by step guide to solve a simple trig equation to solve sin(3) = for 3. You will…

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Q: Solve for u. 2u^(2)+7u+32=(u-2)^(2)

A: Solution- 2u2+7u+32=(u-2)2 formula of (a-b)2=a2+b2-2ab Here a=u and b=2,

Q: How much money will there be in an account at the end of 6 years if $15000 is deposited at a 5%…

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Q: Dante's gas tank is (1)/(2) full. After he buys 3 gallons of gas, it is (2)/(3) full. How many…

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Q: John, Trey, and Miles want to know how many two-letter combinations there are that don't have a…

A: Here given that arithmetic problem and we solve this.

Q: Perform the operation. (−x² - 4x + 1) − (2x² + 9)

A: Given that, (-x2-4x+1)-(2x2+9)

Q: Name: UNIT 4. SIMILARITY AND CONGRUENCE Lesson 4.2: Triangle Congruency Date: D G-CO.7 9. Dave is…

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Q: A trough is 12 feet long, and its ends are in the form of inverted isosceles triangles having an…

A: Let's start by visualizing the trough: Since the ends of the trough are in the form of inverted…

Q: Find the indicated number of elements by referring to the table of enrollments in a finite…

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Q: Rewrite each of the following equations: (Make sure to preview each answer) (a) Rewrite 34 = 81 as a…

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Q: The numbers of polio cases in the world are shown in the table for various years. Year Number of…

A: In a linear model, the set of values increases or decreases at a constant rate. In an exponential…

Q: If f(x) = x³ + 5, g(x) = x + 4, and h(x)=√x, find the following a) f(g(h(x))) f(g(h(x))) = b)…

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Q: . Solve by factoring. (Enter your answers as a comma-separated list.) x(x − 1) = x +

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Q: An augmented matrix that represents a system of linear equations has been reduced using Gauss-Jordan…

A: Given that augmented matrix (3×3) and we  find value of (x, y, z) by the augmented matrix.

Q: Evaluate the following formula for x₁ = 2.35, X₂ = 2.68, H₁ H₂ = 0, $₁ = 0.98, s₂ = 0.53, n₁ = 31,…

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Q: Let U=(3,4,8,9,10,11,15,18,19), X=(4,9,11,18), Y = {4,8,9,10,11), and Z=(3,4,8,18,19). List the…

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Q: Jean typically takes 2 less hours than Donald to assemble a bicycle if each works alone. Jean and…

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Q: Function A and Function B are linear functions. Function A y = ¹²x + 4 Function B X -8 -4 -5 -2 8 7…

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Q: Graph the equation. x + 3y = 6

A: The equation x+3y=6, is of the form Ax+By=C, which is a standard equation of the line, so the graph…

Q: The graph of a function / is shown below. Find / (3) and find one value of x for which /(x) = -1. Z

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Q: Part A : In 1990, the average home price in Texas was $85,815 and in 2010, the average price was…

A: In 1990, the average home price in Texas was $85,815 In 2010, the average price was $191,014

Q: 2 A square matrix A is nilpotent if Ak = 0 for some positive integer k. What can you say about the…

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Q: An open box (without a lid) is to be made from a rectangular piece of cardboard that has dimensions…

A: Sides of cube are  16-2x  10-2x x  Volume = (16-2x)(10-2x)(x) To get maximum volume differentiate it…

Q: 6. Write the equation of a logarithmic function that has been vertically stretched by 4, reflected…

A: To write the equation of a logarithmic function that has been vertically stretched by 4,  reflected…

Q: Velocity at t=2 is incorrect... could you please show me your steps given that:

A: From the given table

Q: What value of k makes the equation true? (5a^(2)b^(3))(6a^(k)b)=30a^(6)b^(4)

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Q: A gardener has 800 feet of fencing to fence in a rectangular garden. One side of the garden is…

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Q: Find the domain of y = logg(8 + 6x). The domain is:

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Q: Use an inverse matrix to find the solution to the system. 2x + y + z = x + 3y + 2z = 2x + y + 2z =…

A: We have to find the solutions using Matrix inversion.

Q: The domain is: The range is:

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Q: At age 35, you start saving for retirement. If your investment plan pays an APR of 6% and you want…

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Q: Question 19 Look at the function that is graphed below. y 30 25 -20 -15 -10 5 -15 -10 -5 0 --5 -10…

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Q: What is the equation of the function represented by this table of yalues? X y -2-1 3 25 B 3/5 A y =…

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Q: Write a system of linear equations represented by the augmented matrix. (Use x, y, and z as your…

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Q: Which of the following is an exponential function? y = 2x³ B y = 3x с y = x¹/2

A: y=2x3 y=3x y=x12

Q: Find the exact value of the logarithmic expression without using a calculator. In eª + ln eº

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Q: 3.3(1) 1.Without using the fundamental principles, determines the function derived from the…

A: SOLUTION:-   Given, different exponential functions.   (a)y=4x…