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

Q: Find the missing value for the radioactive isotope Isotope: 239^pu Half life years: 24,100 Initial q...

A: Given half life= 24100 years Amount after 1000 years= 0.5 g The equation for the amount of the isoto...

Q: I need help with number 3

A: For division, we subtract the exponents  

Q: Each of the following temperature ranges is in degrees Fahrenheit. Use the formula F C + 32 to find ...

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Q: Find f of g and g of f  f(x)= 1/x , g(x)= x+1  Find the domain of each function and each composite f...

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Q: #4

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Q: Find an equation of the line passing through the points (2, 3/2) (1/2, 9/4)

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Q: Problem Set L: Solving Systems of Equations lly. 2) 3x - 2y = -11 5x – 3y = -16 4) 6x +2y =-7 4x-4y ...

A: 2.

Q: Solve the equation and c x-4 x-5 O5.p1

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Q: Factor f(x) = 2x + 7x2 - 44x+ 35 into linear factors given that - 7 is a zero of f(x). f(x) = 2x° + ...

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Q: It has been shown that the height of an adult can be accurately predicted by the length of their for...

A: Given: The height of a person is given by h(x)= 39 + 2.7x

Q: WRITE AN EQUATION OF THE LINE IN SLOPE-INTERCEPT FORM THAT IS PARALLEL AND PERPENDICULAR TO Y=3X+4 A...

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

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Q: Solve the equation for real solutions by the quadratic formula, 5x2 - 7x -3= 0 Select the correct ch...

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Q: The perimeter of a triangle is 64 in. The longest side is 12 in. longer than the medium side, and th...

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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: Find the missing values assuming continuously compounde interest Initial Investment: $1000 Annual Ra...

A: Given that  Initial investment = 1000  To find time to double, we use final amount = 2(1000)=2000 ...

Q: Find the formula for the nth term of the arithmetic sequence. 6, 19 13, .. I Need Help? Read It Talk...

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Q: For each deposit, find the future value (that is, the final amount on deposit) when compounding occu...

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Q: 4

A: Hi there, At a time we can answer only three sub-parts. So, I have answered first three.

Q: A fashion designer needs to design a new shirt. She has 7 different types of materials, 14 different...

A: Given that there are 7 different types of materials, 14 different colors for each material, and 9 di...

Q: Solve. x² - 13x = -40 O 8,5 O-5,-8

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Q: The length of a rectangle is 8 inches more than 4 times the width. The perimeter is 156 inches. Find...

A: Use the formula of perimeter as

Q: Find the distance between the points (-6, 3) and (-8, -7)

A: Let the given points be A and B where A is (-6, 3) and B is (-8, -7) distance between the points A a...

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Q: You poured some 8% alcohol solution and some 10% alcohol solution into a mixing container. Now you h...

A: To Determine: You poured some 8% alcohol solution and some 10% alcohol solution into a mixing contai...

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

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Q: Given, the length of two leg of a right triangle is longer leg 20, shorter leg 15. Find the hypotenu...

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Q: Factor the given polynomial. 15x2 +7x-4

A: Let consider a quadratic polynomial  ax2 + bx + c Steps to factorize quadratic polynomial i) Multipl...

Q: A $450 dishwasher depreciates by $75 per year.  After how many years is the dishwasher worth 0$?

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Q: Perform the following operations and simplify by combining like terms.   (2x-3)(x2-7x+5)

A: Like terms are terms that contain the same variables raised to the same power. Only the numerical co...

Q: Jill is buying new tile for her bathroom.If the room measures 8 2/3 by 6 3/4 feet and the tile costs...

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Q: Simplify the following expression x^2+ 5x + 6/x^2-9

A: (x2+ 5x + 6)/(x2-9) Let's factorize the numerator and denominator separately and then cancel out the...

Q: 3x2-2x+2=0

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Q: 2

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

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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   

Q: The upper deck at a baseball stadium has produced, among other complaints, displeasure with its stee...

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Q: A town has population 275 people at year t=0. Write a formula for the population, P, in year t if th...

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Q: Consider the follwing function  f(x)= |x-5| +3 , x> or equal to 5 Find the inverse function of f^...

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Q: Given the function f(x) = 8|x - 7|, calculate the following values: f(0) f(2) = f(- 2) = f(x +1) = f...

A: f(x) = 8|x-7| f(0) = 8|0-7| = 8*7 = 56 f(2) = 8|2-7| = 8*|-5| = 8*5 = 40 f(-2) = 8|-2-7| = 8*|-9| = ...

Q: Evaluate f(x- 4) when f (x) = 4x2 - 3x - 3 (Be sure to simplify your answer)

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Q: Our ACM class decides to go bowling ☺ The cost for the group is $15 for shoe rentals and $5 per game...

A: The equation for the total cost C will follow the standard equation for a straight line and will be ...

Q: The sum of the squares of two negative numbers is 106 and the difference of the squares of the numbe...

A: To find the both negative numbers.

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: Determind the time necessary for P dollars to double when it is invested at an interest rate r compo...

A: Given that interest rate = 7.1%= 0.071 Initial amount= P Final amount = 2P time = t = ?   a) For com...

Q: Use the special properties of logarithms to evaluate the following expression. 7log79

A: To evaluate 

Q: Find an equation that represents the graph of a circle with center (-1, 3) and radius r = 5.

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

A: Perform the following operations and simplify by combining like terms

Q: Using Cuisenaire rods, what fraction of the orange rod is the purple rod? The orange rods represent ...

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Q: Questions 9 and 10 refer to the following: Assume that it costs Sony approximately C ( x ) = 800 , 0...

A: Consider the cost function for Sony is   dollars to manufacture x playStation 4's in an hour.