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In your own words, what does it mean for two equations to be dependent or to be independent? Type an equation for g(x) that results, with f(x), in an independent and consistent system:
f(x) = 2x - 8
g(x) = ?
let f(x)=x^3+1. Find the point(s) on the graph of f where the slope of the tangent line is equal to 12, and find the equations of the tangent line at these points.
which decision should the financial manager make?
A box with a square base has length plus girth of 104 in. (Girth is the distance "around" the box.) What are the two possible lengths of the box, if its volume is 2000 in3? what is the smallest and largest length.
Calculating Projected Net Income. A proposed new investment has projected sales of $825,000. Variable costs are 55 percent of sales, and fixed costs are $187,150; depreciation is $91,000. Prepare a pro forma income statement assuming a tax rate of..
The lengths of Atlantic croaker fishes are normally distributed , with a mean of 9 inches and a standard deviation of 2.56 inches . An Atlantic croaker fish is randomly selected.
A division of Carter Enterprises produces "Personal Income Tax" diaries. Each diary sells for $9. The monthly fixed costs incurred by the division are $20,000, and the variable cost of producing each diary is $4.
Distinguish between static and dynamic geometry problems. Use dynamic geometry software to create geometric objects. Use dynamic geometry software to reflect, rotate, and translate objects.
the intensity of light from a light bulb, measure in watts (w), varies inversely as the square of the distance (d) from the light bulb. Suppose I is45 w/m(squared) when the distance is 6m.
At a certain time, the temp is maintained constant, the P=100ln/in^2 and is increasing at 4 lb/in ^2. At what rate is the volume changing when it is 60 in^3?
Q. solve using simplex method, Hence using the sensitivity analysis, find the new optimal solution of the LPP if the availability of the second constraint is changed from 11 to 15
Mike, who is standing on the deck of a yacht that is traveling due west at 6km/h, sees a sailboat sailing southwest at 4km/h, 3 km northwest of the yacht. How close to each other do these boats get?
the length and width of the floor of a room are each 12 meters. the height is 4 meters. a spider on the floor in a
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