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Read the following instructions to complete this assignment: We define the following functions: f(x)=2x+5 h(x)=(7-x)/3 g(x)=x^2 -3 Compute (f - h)(4). Evaluate the following two compositions: A: (f ? g)(x) B: (h ? g)(x) Graph the g(x) function and transform it so that the graph is moved 6 units to the right and 7 units down. Find the inverse functions: C: f^- 1(x) D: h^-1 (x) Write a two- to three-page paper (not including the title page) that is formatted in APA style and according to the Math Writing Guide. Format your math work as shown in the example, and be concise in your reasoning. In the body of your essay, do the following: Demonstrate your solution to the above problems, making sure to include all mathematical work as well as explanations for each step.
What is the probability that more than 10 dogs have trait D? B. What is the probability that at most 11 dogs have trait D? Binomial Distribution and Standard Deviation
A ramp begins at the end of a sidewalk and rises 15 vertical feet over a horizontal distance of 150 feet. Find the length of the ramp to the nearest tenth of a foot. (Hint: Use (0,0) for the end of the sidewalk.)
A farmer had several pens out by the barn. He had used 17 lenghts of fence to make the pens, but now he needs to use six of those fence lengths for another project. He wants to remove six fence lenghts but still have two square pens remaing. Which..
Suppose the farmer buys insurance for $3000 that pays him $20,000 in the event of a severe storm that destroys much of the crop, and pays nothing otherwise. Find the probability distribution of his profit . Find the mean, and summarize the effect ..
Let p be a prime, let K be a number not divisible by p, and let b be a number that has a kth root modulo p. Find a formula for the number of kth roots of b modulo p and prove that your formula is correct. (hint. your formula should only depend on ..
A cylindrical drill with radius 2 is used to bore a hole throught the center of a sphere of radius 7. Find the volume of the ring shaped solid that remains using polar coordinates.
A public storage company charges new customers an initial fee of $10.50. Each month of storage costs $13.50.
A manufacturer has been selling lamps at $6 apiece, and at this price, consumers have been buying 3,000 lamps per month. The manufacturer wishes to raise the price and estimates that for each $1 increase in price
If the first pole is 'a' feet tall and the second pole is 'b' feet tall, and the two poles are 'd' feet apart, at what height do the tie lines cross ?
Continental charges $20/day and 50 cents per mile. How many miles must you drive in a day to make Basic a better deal than continental.
If 2200 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
Find the LCM of each set of polynomials
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