Given that f(x) = x2 + 4x and g(x) =x - 8, calculate (a) f o g(- 1) = (b) go f( – 1) = (c) f o f( – 1) = (d) g o g( – 1) = calcule

Q: State if each scenario involves a permutation or a combination. Then find the number of possibilitie...

A: Total number of people in the race= 50 We will pick 6 finishers.   

Q: Find all real solutions for the polynomial equation  -3x^3+ 7x^2- 2x- 2= 0

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Q: Perform the following operations and simplify by combining like terms.   (3x+4)(3x-4)

A: First we expand the given expression using FOIL method.

Q: Let P=f(t)=600(1.033)t be the population of a community in year t. Evaluate f(10)

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Q: Let f(x) and g(x) = 2x +9. %3D Then (fo g)(1) (f o g)(x) %3D

A: Substitute g(x) for x in f(x) to get (f o g)(x). This also means: (f o g)(x) = f[g(x)] Substitute f(...

Q: How much money will there be in an account at the end of 6 years if $14000 is deposited at a 5.5% an...

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Q: 1. A matrix is given in row-echelon form.   1    −2    4    13   0 1 2 10 0...

A: Since you have submitted two questions, we'll answer the first question. For the second question ple...

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Q: Given the function below, evaluate f(0) f(x) = – 4+ 3|4x + 3|

A: Given x=0 We will plug x=0 in f(x)  

Q: f(x+h)-f(x) Find the difference quotient , where h + 0, for the function below. f(x) = 3x² – 4 Simpl...

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Q: Select all of the following graphs which represent y as a function of x . 4- -5 -4 -3 -2 -5 -4 -3 2 ...

A: We will use the vertical line test to determine if the graph represents a function: Look at the gra...

Q: Evaluate each arithmetic series described.

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Q: The functions f, g, and h are defined as follows. ²-3 f(x) = /9-3x f(x)%3D g (x) = x+1 h (x) = |- 10...

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Q: a. Assume that traffic flows freely around the traffic circle. The flow rates given are measured in ...

A: At each node, total inflow = total outflow. Node A: x1 + 163 = 142 + x2 hence, x2 = x1 + 21 Node B: ...

Q: You are organizing a variety show and have 14 different performances to place in the line-up.  How m...

A: Number of different line ups that can be created using all 14 different performances = 14!

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Q: Let f(æ) = and g(x) = %3D Find the following functions. Simplify your answers. f(g(x)) 3= %3D g(f(x)...

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Q: Factor. z² - 4 © (z +^2)(z - 2) O (2- 2)2

A: We will have to use the difference of square formula  a2-b2=(a+b)(a-b)  

Q: Find the domain of the function. V5+x f(x)%3D 10+3x Write your answer as an interval or union of int...

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Q: Find the numbers whose sum is 5 and whose product is -50 write the answer as integers or simplify fr...

A: Let the number are a and b. According to the question; sum = 5     =>  a+b = 5    ..................

Q: maggie want to make a frame for her graduation picture.the photo  is 18 inches by 12 inches .if the ...

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Q: For the following quadratic function, tell whether the graph opens upward or downward and whether th...

A: Important points: 1.  Y = X2 type all parabolas opens upward.     Y = - X2 type all parabolas opens ...

Q: 1.a

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Q: Find each term described.

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Q: Divide   (x2 + 5x - 9) divide sign (x-2)

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Q: The following scatter-plot shows the decreasing trend in Motor Vehicle Theft. Interpret (using a sen...

A: The slope of the line shows how sensitive the dependent variable is w.r.t the independent variable. ...

Q: Please answer. Please and thank you.

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Q: Perform the following operations and simplify by combining like terms.   (4x-3)(2x-5)

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Q: State if each scenario involves a permutation or a combination. Then find the number of possibilitie...

A: Given scenario is a permutation, because in the Manager positions the order is important.  

Q: Choose answer

A: To Determine: Q6. In case of continuous case, the eigenvalue method for discrete time dynamical syst...

Q: Use the following information for determining sound intensity. The number of decibels β of a sound w...

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Q: Please answer. Please and thank you

A: Car is driven 402.5 miles on 11.5 gallons of gas.

Q: Write the quadratic function in standard form f(x)=4x^2-x-1 Vetex?  Axis of symmetry?

A: Given function

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A: To check whether 211 is prime number on not.  

Q: FIND THE ZEROS AND STATE THE MULTIPLICITY OF F(X) 6.  F(X)=  (X-4)3(2X +6)2(X-4) ___________________...

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Q: This le Find an equation of the line having the given slope and containing the given point. (9,-4) 6...

A: We will use the point-slope formula 

Q: let f(x)=-4x-1, h(x)=-x+1 find (f h)(3)

A: Given, f(x)=-4x-1, h(x)=-x+1 (f h)(3) = f(3)*h(3)

Q: Multiply  (w-z)(w2 + z2 + 4wz)

A: This is question of multiplication of two polynomials.  In this highest degree of the resultant poly...

Q: The strenght available is 2 g in 4.8 mL. Prepare a 900 mg dose.

A: First we convert 2 g into mg  1 g= 1000 mg  So, 2 g = 2000 mg   

Q: A manufacturer inspects 400 personal video players and finds that 399 of them have no defects. The m...

A: Total video players to be inspected = 400 video players having no defect = 399 ratio of  non-defect ...

Q: Given the following functions, find each: f(x) = x2 - x- 42 %3D g(x) = x - 7 (f + g)(x) = (f – g)(x)...

A: a) We add the functions and combine like terms  

Q: The rate of fingernail growth depends on many factors, but in adults, nails grow at an average rate ...

A: To determine the equation for the nails growth over the month

Q: Let A {0, 2, 4, 6}, B = {1, 2, 3, 4, 5}, and C = {1, 3, 5, 7}. Find A U B.

A: Given sets  

Q: Simplify. X+3 O 35x(x + 3) 7x 5(x+3)

A: “Since you have asked multiple question, we will solve the first question for you. If you want any s...

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Q: Divide using long division. 24x² - 2x - 35 4x-5 6х +7 Ox+7 06x-35

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Q: Joe is buying new carpet for his basement. If the room measures 23.2 feet by 15.8 feet and the carpe...

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Q: The population of a colony of rabbits grows exponentially. The colony begins with 10 rabbits; 5 year...

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Q: Find the complete solution of the linear system, or show that it is inconsistent. (If the system has...

A: We multiply the first equation by -3