Exercises 111-114: Determine the domain and range of function f. Use interval notation. 111. f(x) = =(x + 1)² – 5 112. f(x) = 2(x – 5)² + 10 113. f(x) = V-x – 4 – 2 114. f(x) = -Vx – 1 + 3

Q: A graph of a function f is given below. Find the net change and the average rate of change of f betw...

A: The net change in the value of the function f between x=a and y=b is Net change =fb-fa here, a=2 and...

Q: graph each parabola. y = -(x - 1)2 + 1

A: y=-(x-1)2+1

Q: Write the following system of linear equations in the “matrix x column = column" 3x – 2y + z = 8 6x ...

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Q: A function is given. Determine (a) the net change and (b) the average rate of change between the giv...

A: The given function is, ht=-t+32. The values of the variable are t=-4  and  t=1. The objective is to ...

Q: Toplic:3.4 Solving systems by substitution Check for Understanding Answ 5) Michael and Larry scored ...

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Q: 2. What is the approximate vertical distance between the search boat and the treasure? You can round...

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Q: find the length of the major axis and the length of the minor axis of each ellipse. 16x2 - 32x + 9y2...

A: Given, 16x2-32x+9y2-54y-47=0 we know general form of ellips is x-h2a2+y-k2b2=1 now convert equation ...

Q: Amy's dog weighs 14 pounds. What is the dog’s weight in ounces? a) 30 b) 64 c) 210 d) 224

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Q: Height of a Golf Ball The height s in feet of a golf ball after t seconds is given by s(t) = -16r² +...

A: Given that   The height (s) in feet of a golf ball after “t” seconds is given by, st=-16t2+80t

Q: Find a polar equation that has the same graph as the equation in x and y.y2 - x2 = 4

A: y2-x2=4

Q: help with 5 and 6

A:

Q: 5. (a) Are the vectors (1,3, 2), (2, 1,3) and (3, 2, 1) linearly independent? (b) Are the vectors (1...

A: Explained below

Q: If a function f is an even function, then what type of symmetry does the graph of f have?

A: The function f is an even function.

Q: Find the exact value of each logarithm without using a calculator. log√39

A: We know that, from the property of logarithm, logabcd=dblogac           ⋯⋯1 We have the given logari...

Q: A small company manufactures a touring bike (T), a mountain bike (M), and a racing bike (R). The tou...

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Q: Consider the collection of all points of the form y – 2w 3w Express this collection as the span of t...

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Q: Simplify the rational expression.   x3-6x2-16x+96/x2-16

A: The given rational expression is x3-6x2-16x+96x2-16.

Q: Use a calculator to evaluate the expression. Round your answer to three decimal places. ln (5/3)

A: Given: log53

Q: |3x-2|≤|x-1|

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Q: A function f is given. (a) Use a graphing calculator to draw the graph of f. (b) Find the domain and...

A: (a)    To use the graphing utility, follow the instructions:   Input the required  equation using t...

Q: I need the answer for this

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Q: Let u = (3, 4) and v = (8,6). a) Calculate u · v, ||u|| and ||v||. b) What is the cosine of the angl...

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Q: Exercises 49-54: Evaluate the expression with a calculator. 49. (23 - 5.6) + (-41.5 + 936) 50. (-8.0...

A: To evaluate the expressions: 49)(23-5.6i)+(-41.5+93i) (23-5.6i)+(-41.5+93i) On simplifying further w...

Q: Use the Factor Theorem to prove that x - c is a factor of xn - cn for any positive integer n.

A:  x - c is a factor of xn - cn for any positive integer n.

Q: Solve the equation log6 36 = 5x + 3

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Q: The graph of every exponential function f(x) = ax , where a > 0 and a ≠ 1, passes through three p...

A: f(x)=ax

Q: In Problems 35 and 36, find the domain of each rational function. Find any horizontal, vertical, or ...

A: Given: 35. R(x)=x+2x2-9

Q: Between 12:00 pm and 1:00 pm, cars arrive at Citibank’s drive-thru at the rate of 6 cars per hour (0...

A: Given: probability can be used to determine the probability that a car will arrive within t minutes ...

Q: Exercises 121–140: (Refer to Examples 12–14.) Complete the following for the given f(x). (a) Find f(...

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Q: In the problem you are asked to find a function that models a real life situation. Use the principle...

A: Given an isosceles triangle has a perimeter of 8cm Find a function that models its area A in terms o...

Q: graph each parabola. y = (x - 1)2 - 2

A: To graph the equation of parabola: y=x-12-2 Solution: Standard equation for the given equation will ...

Q: Suppose teh graph of f is given. Describe how the graph of each function can be obtained from the gr...

A: we have been given the graph of the function f. we have to tell how the graph of each function can b...

Q: Draw a graph of the function f, and determine the intervals of which f is increasing and on which f ...

A: A function is said to be increasing if for the increasing values of input, the corresponding values ...

Q: Exercises 75-78: Find the domain of the function. Write your answer in set-builder notation. 4x 76. ...

A: 73). Given function is fx=1x2-5. To find the domain of the function and write answer in set builder ...

Q: Suppose y varies directly with √x. Write a general formula to describe the variation if y = 2 when x...

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Q: In the given equation,, find all zeros of the given polynomial   x3+ x2   -x + 2

A: We have the given polynomial function as x3+x2-x+2 On calculating factor by grouping the terms, we g...

Q: Find the principal needed now to get each amount; that is, find the present value. To get $800 after...

A: Consider the present value amount be "P". Consider the amount we get is given as A=$800. The time is...

Q: .Find a monic polynomial f(x) of least degree over C that has the given numbers as zeros, and a moni...

A: Find a monic polynomial f(x) of least degree over C that has the given numbers as zeros, and a monic...

Q: A function is given. Determine (a) the net change and (b) the average rate of change between the giv...

A: Given: ft=5t2, t=3, t=3+h

Q: Express the function in the form f ∘ g.

A: To express the function in the form of (fog). G(x)=1x+3 Solution: Given,G(x)=1x+3 We know, (fog)=f(g...

Q: Find the zeros of the quadratic function f(x) = 3x2 + 5x + 1. What are the x-intercepts, if any, of ...

A: Given quadratic function is fx=3x2+5x+1. To find the zeroes of the quadratic function and also to de...

Q: What is the remainder when f(x) = 2x20 - 8x10 + x - 2 is divided by x - 1?

A: Given : The polynomial is  2x20 - 8x10 + x - 2 and dividend is x - 1.  

Q: Evaluate each expression with a calculator. Round answers to the nearest hundredth. (a) Vī.2 + 7' 3....

A: GIVENa).1.23+π3b).3.2+5.77.9-4.5c).52+2.1d).1.2(6.3)2+3.2π-1 we need to find the values and Round  t...

Q: Exercises 27-42: Graph y = f(x) by hand by first plotting points to determine the shape of the graph...

A: We can create graph of any equation by plotting points to the graph using the  respective equations ...

Q: A new 10" deep concrete roadway will be placed between stations 120+00 and 500+00, there will be two...

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Q: 93. Pizza Cost Marcello's Pizza charges a base price of $16 for a large pizza plus $1.50 for each ad...

A: Base price=$16 $1.50 for each additional topping

Q: I need help with this

A: Use property of parallel lines and transversal lines

Q: Find the final amount of money in an account if $1,900$1,900 is deposited at 8%8% interest compounde...

A: To Find the final amount of money in an account if $1,900$1,900 is deposited at 8%8% interest compou...

Q: snip

A: (a) A={n:n=2k,k∈Z}(b) B={m/n:n∈Z,n≠0}(c) C={x∈R:4x2-4x-3=0}(d) D={x∈Z:4x2-4x-3=0}

Q: Yes or No. If No, give a reason.

A: Part (a) - Given intervals = a, bPoints of secant line are a, f(a) and b, f(b)Slope of the secant li...