Algebra Functions Solved
For the following functions, find (a) (f+g)(x), (b) (f-g)(x), (c) (f+g)(2), and (d) (f-g)(-1). f(x)=3x+4, g(x)=1-2x f(x)=
For the following functions, find (a) (f+g)(x), (b) (f-g)(x), (c) (f+g)(2), and (d) (f-g)(-1). f(x)=3x+4, g(x)=1-2x f(x)=
The cross section of a parabolic reflector with 6-inch diameter is ground so that its vertex is 0.15 inch below the rim. (a) Find the equation of the parabola after inserting an xy coordinate system with the vertex at the origin, the y axis (pointing upward) the axis of the parabola. (b) How far is the focus from the ver
The batter in a softball game hits the ball when it is 4 feet above the ground. The ball reaches the greatest height on its trajectory, 35 feet, directly above the head of the left fielder, who is 200ft from home plate. a. Write an equation for the height of the softball in terms of its horizontal distance from home plate. b
Problem 2: A product under development took 135 hours for the production of its first unit. Assuming a curve of 90%: How long will it take to produce the 35th unit? How long will it take to produce a total of 60 units?
Please see the attached file for the fully formatted problems. Ticket Sales Living in or near a metropolitan area has some advantages. Entertainment opportunities are almost endless in a major city. Events occur almost every night, from sporting events to the symphony. Tickets to these events are not available long and can
9.1 #108. 108. Comparing wind chills. Use the formula from Exercise 107 to determine who will feel colder: a person in Minneapolis at 10°F with a 15-mph wind or a person in Chicago at 20°F with a 25-mph wind. 9.2 #132. Top bond fund. An investment of $10,000 in the Emerging Country Debt Fund in 2001 was worth $24,780 in 2
1.) Solve using the multiplication principle. Don't forget to perform a check. -1/6x = -9/10 The solution is_____. (Simplify your answer. Type an integer or a fraction.) 2.) Collect like terms. 17r + 4s - 11r - 9s =_____________. 3.) 4 > -3x + 3 or 10 ≤ -5x + 3 4.) Solve using the multiplication principle. -7x > 1/1
The problem in question is attached because there is a graph involved. Look at the graph above and comment on the sign of D or the discriminant. Form the quadratic equation based on the information provided and find its solution.
1. Factor the following expressions: a.3a + 9b b.ax + ay -az c.4a + 8b + 12c d.-2x -4y e.5m - 15n 2.Evaluate the expressions when x=3 and y=8 a.x + 2y b.-4(y - x) c.x - y d.2x + 3y e.y - 2(x+y) 3.Find the cost per ounce of each of the following sets of products, and tell which one is the
It is estimated that the demand for oil is increasing exponentially at the rate of 15% per year. If the demand for oil is currently 50 billion barrels per year, how much will be consumed in the next 10 years?
Practice Questions on Logarithmic and Exponential Functions [See the Attached Questions File] Evaluate the logarithm: log4(1/16) Evaluate the logarithm: log10(0.01) Evaluate the logarithm: log1/2(5) Sketch the graph of the function and identify the vertical asymptote: f(x) = -2 + log3x Use the
Mr. Earl E. Bird leaves his house for work at exactly 8 a.m. every morning. When he averages 40 mph, he arrives at his workplace 3 minutes late, but when he averages 60 mph he arrives at his workplace 3 minutes early. What is the average speed he needs to get to work exactly on time?
Please help with the attached problems. Use square root property to solve each equation.. Add proper constant to each binomial so that the resulting trinomial is a perfect square then factor the trinomial Use quadratic to solve equation with real number solutions.
Please see attachment. Write the following expression in simplified radical form. Find the roots of the quadratic equation: Compute the value of the discriminant and give the number of real solutions to the quadratic equation Solve the following equation for by using the quadratic formula: Find the -intercep
I need some help I cannot come up with the correct answer. 1) Quadratic formula 2) Completing the square A. 11m - 10 = 3m^2 B. x + 1 = 2x^2 C. 6x^2 + x - 2 : 0
Simplify the radical: _______ / 24x^16
Question: What is the difference in solving the quadratic equation x^2 - 8x + 12 = 0 and the quadratic function f(x) = x^2 - 8x + 12? How many solutions do each of these have? Is there a relationship between the two (think of the graph)? How many solutions does the function have? What happens when we graph them?
A Student observes the following spinner and claims that the color red has the highest ... In response to Question "If a fair die is rolled twice ... A coin is flipped 3 times and heads or tails ... Five women live together in an apartment. Two have blue eyes. If two of the women ... How could each of the following b
The number of cans in the layers of a display at a supermarket forms an arithmetic sequence. The bottom layer has 28 cans; the next layer has 25 cans, the next layer has 22 cans and so on until there is 1 can at the top of the display. 1) How many total cans are in the display? 2) How many rows of cans are in the entire display
Question 11 If A is your age, the maximum pulse rate you should maintain during aerobic activities is 0.88(220-A). What is the maximum pulse rate you should maintain if you are a.15 years old? b.35 years old? c.40 years old? Question 12 The ideal heart rate while exercising for a person A yea
Need help solving algebra problems. 1. Perform the indicated operation and simplify: w-6/w-7 - w+1/w+7 + w-21/w^2-49= 2.Jack usually mows his lawn in 7 hours, Marilyn can mow the same yard in 4 hours how much time would it take for them to mow the lawn together? 3. Simplify by removing factor of 1. s^2-4/(s+2)^2 4. F
Problem one: Divide and simplify d^7/d^13 2 a). solve 5x^2=15 b). find the x-intercepts of f(x)=5x^2-15 3. Simplify by taking roots of the numerator and the denominator. Assume that all expressions under radicals represent positive: 3sqrt216x^8/y^3 4.Multiply and simplify. Assume variables represent nonzero real nu
Please see the attached file for the fully formatted problems. 1.) Graph the inequality on a plane. 3x + 4y ≤ 12 2.) Determine whether the ordered pair is a solution of the inequality. (4, 13); 5y - 6x > 4 Is the ordered pair a solution? Yes or No 3.) Miguel's insurance company will replace his car if repair co
I have attached the problems. Ten years ago your friend invested in a plot of land with the idea of eventually building a summer cottage on it. His plan was to place a "nest egg" of $12,000 in a long term Certificate of Deposit which paid 8% interest over a period of 20 years, compounded monthly. At the end of the 20 years, h
See attachment for expressions 1. Multiply. Simplify wherever possible. 2. Solve. Simplify your Answer. 3. Simplify by factoring. Assume that all expressions under radicals represent nonnegative numbers. 4. Multiply and simplify by factoring. Type an exact answer, using radicals as needed. 5. Rewrite with rational ex
Consider two linear function: f(x) and f -1(x), their lines intersect at a point with a x-coordinate of 10 and the slope of f(x) is 1/2 *Find the SI equation *Find x= f -1 (y) then express the inverse function in terms of x: y = f-1(x) *graph the two lines on the same set of axes, clearly showing all four x and y interce
Bottle A contains an 80% acid solution. Bottle B contains a 20% solution of the same acid. How many cc from bottle B should be mixed with solution from bottle A to make 40 cc of a mixture which is 40% acid?
See attached. F(x)=3x-5, find the following.
Please see the attached file for the fully formatted problems. Problem: To reduce their taxes, many businesses use the straight-line method of depreciation to estimate the change in value over time of equipment that they own. The graph shows the value of equipment (in thousands of dollars) owned from the time of purchase to 1
After the bake sale, the Campus Ministry volunteers counted how much money they raised. In addition to the 18 one - dollar bills, the group had $9.50 in quarters, dimes, and nickels. They had twice as many dimes as nickels and 2 more than three times as many quarters as nickels. How many of each coin did they have?