### Functions

Determine whether each relation is a function: x^2 = 1 + y^2 y = (square root of x + 5) Determine the domain and range of each relation y = 2x - 3 Graph each function and state the domain and range y = 0.3x y = l x-2 l

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Determine whether each relation is a function: x^2 = 1 + y^2 y = (square root of x + 5) Determine the domain and range of each relation y = 2x - 3 Graph each function and state the domain and range y = 0.3x y = l x-2 l

1) Is the ratio between number of workers and time required to complete a job direct or indirect? 2) The formula for profit (P) is cost (C) minus overheard (O). Write an equation for profit and then translate it to solve for cost 3) Solve for t d=rt My solution was t=d/t. Is that correct 4) Solve for S (C-S)/n=R

1. A quantity of 13% acid solution is being diluted with 3% acid solution. The final solution must be 8% acid and contain 90 ml. How much of each solution must be combined to accomplish this? 2. A rectangular fence is to be constructed with 500ft of fencing. The length of the fence is to be 3.5 times the width of the fen

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4. Solve by completing the square: Radicands must be enclosed within [ ]. x2 + 4x + 2 = 0

Evaluate the expression f (x) = 3x +4 /x for x=2

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Find ALL real or imaginary solutions to each equation. Use the method of your choice. 1. q^2 +6q-7=0 2. -x^2 +x+12=0

Factor the following trinomial using the trial and error 4x^2 +12x-5

(x-1)(x^2 -1)

Please see the attached file for the fully formatted problems.

Please solve using the square root property: 2x^2 - 5 = 45 Make sure to show all work that is involved.

Whenever a formula is used, begin by typing the formula you intend to use. Make sure to subscript where appropriate. Find the equation, in slope intercept form, of the line that passes through the points (-7, -2) and (-4, 1).

Write an equation of the line that passes through the given point and is parallel to the given line. Write answer in slope intercept form. (0, 3), 5y-40x =1 a. y= 8x - 3 b. y= -1/8 x + 3 c. y= -1/3 x + 8 d. y= -1/8 x + 8 e. y= 8 x+ 3

-x^2 + 10x = 18 How do I arrive to the answer?

1. The objective of statistics is best described as: A) To make inferences about a sample based on information we get from a population B) To use population mean, ? as an estimate of the sample mean, C) To make inferences about a population based on information we get from a sample taken from the population D) To make in

Name the coordinate described here :From the origin, the point is eight places down.

Equivalent characterizations of a vector space expressible as a direct sum of two subspaces

Let A = {1,3,5} and B = {3,5}. Compute: (a) A - B (b) A X B (c) A (plus sign with a circle around it) B (d) A ∩ (B - A)

(4x - 5)2 = -32

If a farmer has 1000 yards of fencing to make 3 equal rectangular pens adjacent to the barn. Use the barn itself to form one of the sides that will not need fencing. If the 3 pens are the same size and share a common side, then what is the area of side x and what are the dimensions of x & y that maximize the entire enclosure? Wh

Get your checkerboard and place one grain of wheat on the first square. Then place two grains of wheat on the next square. Then place four grains on the third square. Continue this until all 64 squares are covered with grains of wheat." As he had just harvested his wheat, Mr. Crane did not consider this much of an award, but he

If the speed of a car is a linear function of time in seconds and 10 is less than or equal to t for time is less than or equal to 30. if after each second the speed of the car increases by 5 feet per second and after 20 seconds the speed feet per second is 80 feet per second how fast is the car going after 30 seconds?

See attached for full problem description.

A parabola has x - intercepts of 3 and 7, a y - intercept at - 21 and (5,4) for its vertex. Write the parabola's equation.

For equation y = - 3x^2 - 4x + 4, find the vertex, x-intercepts, and y-intercept. Do not graph the equation. keywords : find, finding, calculating, calculate, determine, determining, verify, verifying, evaluate, evaluating, calculate, calculating, prove, proving

A six-passenger plane cruises at 180 mph in calm air. If the plane flies 7 miles with the wind in the same amount of time as it flies 5 miles against the wind, then what is the wind speed?

If (x + 2)(x - 4) = 0 indicates that x + 2 = 0 or x - 4 = 0, explain why (x + 2)(x - 4) = 6 does not mean x + 2 = 6 or x - 4 = 6. Could we solve the equation using x + 2 = 3 and x - 4 = 2 because (3)(2) = 6?

Let m, n be in N, with m, n >= 1 and n odd. Let S_m = 1^n + 2^n + 3^n + ... + m^n. Prove that S_m is divisible by 1+2+...+m.

Where the solution is x = 104/25 please break this problem down to solution showing each stage of problem solving.