Need help explaining and contrasting asymptotes considered for rational functions (see attachment). Exponential functions for real life situations. Help would be appreciated. Scenario: One of the archeologists you interviewed for your article is graphing asymptotes to illustrate the data generated through carbon dating t
1. Graph the inequality. y  1 2. Graph the inequality. y  3x 3. Given f(x) = 4x + 1, find f(3). 4. Given f(x) = 5x2 - 3x + 1, find f(-2). A) -13 B) 15 C) -25 D) 27 5. Given f(x) = x2 + 5x + 3, find f(0). 6. Rewrite the equation 4x - 10y = 11 as a function of x. A) B) C)
Using the index of a sequence as the domain and the value of the sequence as the range, is a sequence a function? Include the following in your answer: -Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic sequence? -Which one of the basic functions (linear, quadratic, ra
Please answer the following questions: 1. Find the domain of the function f(x) = ln(x - 7). 2. Simplify: log 1000 3. Write as a single logarithm (DO NOT find approximations): 2 log 4 + log x - log2. 4. Expand and simplify: ln(e^x). 5. Solve for x: log(x - 4) + log 2 = 1.
Solve the inhomogeneous second order linear equation by variation of parameters. See attached file.
1) Use the arithmetic sequence of numbers 1, 3, 5, 7, 9,...to find the following: a) What is d, the difference between any 2 terms? Answer: Show work in this space. b) Using the formula for the nth term of an arithmetic sequence, what is 101st term? Answer: Show work in this space. c) Using the formula for the su
While the radical symbol is widely used, converting to rational exponents has advantages. Explain an advantage of rational exponents over the radical sign. Include in your answer an example of an equation easier to solve as a rational exponent rather then a radical sign. ADDITIONAL INSTRUCTOR COMMENTS/REQUIREMENTS For unit
1) Use the arithmetic sequence of numbers 1, 3, 5, 7, 9,...to find the following: a) What is d, the difference between any 2 terms? Answer: Show work in this space. b) Using the formula for the nth term of an arithmetic sequence, what is 101st term? Answer: Show work in this space. c) Using the formula for the
A. what is d, the difference between any 2 terms? answer: show work in this space. b. using the formuls for the nth term of a arithmetic sequence, what is 101st term? answer: show work in this space. c. using the formula for the sum of an arithmetic series, what is the sum of the first 20 terms? answer: show work in
2) The volume of a cylinder (think about the volume of a can) is given by V = πr2h where r is the radius of the cylinder and h is the height of the cylinder. Suppose the volume of the can is 100 cubic centimeters. a) " in the function's equation. Write h as a function of r. Keep " Answer as interest is c
Find a primitive root modulo 17 if it exists.
(See attached file for full problem description) 1. Which of the ordered pairs (3, 1), (0, -4), (-4, 0), (-3, -7) are solutions for the equation x - y = 4? A) (0, -4), (-4, 0), and (-3, -7) B) (-4, 0) and (-3, -7) C) (0, -4) and (-3, -7) D) (3, 1) and (-4, 0) 2. Give the coordinates of the point graphed below.
(See attached file for full problem description with proper symbols) --- 1/ If the amplitude ratio, N in decibels, of an electrical system is given by the formula. N = 10log And the power is given by P = Show that for matched input and output resistances the output voltage Vo is related to the input voltag
For a fixed rate, a fixed principal amount, and a fixed compounding cycle, the return is an exponential function of time. Using the formula, A=P [1+r/n}^nt, let r = 10%, P=1, and n= 1 and give the coordinates (t,a) for the points where t= 0,1,2,3,4. Round the A value to the tenth's place. a. show coordinates in this space.
Suppose you deposit $10,000 for 2 years at a rate of 10%. Calculate the return (A) if the bank compounds quarterly (n=4). Round your answer to the hundredth's place. Now calculate the return (A) if the bank compounds monthly (n=12). Now calculate the return (A) if the bank compounds daily (n=365) Show all your work.
An open-top box is to be constructed from a 6 by 8 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x donate the length of each side of the square to be cut out. find the function V that represents the volume of the box in terms of x.
(See attached file for full problem description with all symbols) --- Suppose that n is odd and a is a primitive root modulo n. (a) Show that there exists and integer b such that and . (b) Show that b is a primitive root modulo 2n.
Explain an advantage of rational exponents over the radical sign and give an example.
(See attached file for full problem description with all symbols) --- 2.34 (I) How many elements of order 2 are there in and in ? Show work. (Answer: 25, 75 respectively) (II) How many elements of order 2 are there in ?
(See attached file for full problem description) 2.22 Define f: {0,1,2,...,10} {0,1,2,...,10} by f(n)= the remainder after dividing by 11. (I) Show that f is a permutation. (II) Compute the parity of f. (III) Compute the inverse of f.
Prove or disprove: If m|n, then ø(m,n)=mø(n).
While the radical symbol is widely used, converting to rational exponents has advantages. Explain an advantage of rational exponents over the radical sign. Include in your answer an example of an equation easier to solve as a rational exponent rather then a radical sign.
When using the quadratic formula to solve a quadratic equation (ax2 + bx + c = 0), the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative. Create three unique equations where the discriminant is positive, zero, or negative. For each case, explain what this value means to the graph of y = ax2 + bx +
1) An open-top box is to be constructed from a 6 by 8 foot rectangular cardboard by cutting out equal squares at each corner and the folding up the flaps. Let x denote the length of each side of the square to be cut out. a) Find the function V that represents the volume of the box in terms of x. Answer b) Graph this fun
While the radical symbol is widely used, converting to rational exponents has advantages. Could you help me understand an advantage of rational exponents over the radical sign. What could be an example of an equation easier to solve as a rational exponent rather then a radical sign.
Find all real or imaginary solutions to each equation. 1. 49x2 + 9 = 42x 2. 6x = - 19x + 25 X + 1 3. x - 1 = 2x - 3 4. (w2- 1)2 + 2(w2- 1) = 1
1) Using the quadratic equation x2 - 4x - 5 = 0, perform the following tasks: a) Solve by factoring. Answer: Show work in this space. b) Solve by completing the square. Show work in this space. c) Solve by using the quadratic formula. Show work in this space 2) For the function y = x2 - 4x
While the radical symbol is widely used, converting to rational exponents has advantages. Explain an advantage of rational exponents over the radical sign. Include an example of an equation easier to solve as a rational exponent rather then a radical sign. 2)The loudness of sound is based on intensity level measured in decibe
When using the quadratic formula to solve a quadratic equation (ax2 + bx + c = 0), the discriminant is b2 - 4ac. This discriminant can be positive, zero, or negative. How do I create three unique equations where the discriminant is positive, zero, or negative. For each case, Please help me explain what this value means to th
1. Graph the solution to the system of inequalities y>= -2x-3 y > 3x-2 2. y<= -2x-5 y< 7x-2 3. x>8 4. x>=-2 5. -3x-5y<7 6. 10x-7y>=68