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Draw the graph of function by (i) applying Leading Coefficient Test, (ii) determining zeros of polynomial, (iii) plotting adequate solution points
Assume that P(x) signifies percentage of income spent on automobile insurance in year x and I(x) signifies income in year x. Find the function A which signifies total automobile insurance expenditu
The rectangular playground is to be enclosed by the fence, and divided into 3 sections with fencing parallel to 2 of its sides. If 800m of fence are utilized to enclose the maximum area, find overal
400 students are eager to purchase them at given price. For every $10 increase in price, 40 fewer students will purchase tickets. Find maximum revenue?
After t years, annual sales in hundreds of thousands of units of product, q, is given by q = (1/2)0.8t. Compute annual sales of product after seven years.
Determine the linear model for price P of car T years from year 2000. In what year will price of the make of car reach 25,0000.
Book is sold to distributors for $25.00 each. How many books should be sold for publisher to make the profit of at least $120,000?
At lift off space shuttle discovery had the constant acceleration, a, of 16.4 ft/sec2. Find distance from earth for every interval, t, after liftoff.
Determine the function which models weekly profit in terms of price per feeder. Consider x be price per feeder and P(x) be profit.
Join two radial edges of remaining portion of paper to form the cone with radius r and height h. Find length of arc will produce the cone with the volume greater than 21 in.3.
Determine maximum volume of the box which is created by cutting the square of side x inches from every corner of a 12 inch by 18 inch piece of paper and folding up flaps.
Prove that each of indicated numbers is a zero of given polynomial function f. Determine all other zeros and then provide complete factorization of f(x) 1/4, 3/2; f(x) =8x^4-30x^3+23x^2+8x-3.
Graph equations, solve equations simultaneously to determine coordinates of any intersection points of the graphs.
Two methods in which you can find the graph are by plotting some points, or by utilizing the graphing calculator,y = |3x - 2| + 4. . Describe how you could determine the graph not using either of th
The total of $12,000 is invested in 2 corperate bonds which pay 7.5% and 9% simple interest. Investor wishes the annual interest income of $990 from the investments. Find amount must be invested in
Constant of proportionality K is poditive and depends on tension and density of string. What effect douibling length of string has on the frequency of vibration.
Find vertical asymptotes? Write the list of x-values of asymptotes separated by commas. If there are none, enter None.
The picture frame has the width of 2 inches. If area of frame is 128 square inches, and if picture itself is 4 inches longer than it is wide, determine the dimensions of picture?
The jeweler wishes to make the 1oz ring composed of gold and silver utilizing $200 worth of metal. If gold costs $600 per oz and silver $50 per oz, how much of each metal must jeweler utilize?
Illustrate that if x and y intercepts of the line are nonzero numbers a and b, then equation of line can be written in form: x/a + y/b = 1 and determine equation of line whose x-intercept is 6 and y
Distances from Earth to moon and to sun are about 4 x 108 km, respectively. Diameter of moon is about 3500 km. Find approximate diameter of sun?
The 13 foot long pole leans against the wall. Bottom is 5 feet from wall. How much farther must bottom be pulled away from wall so that same amount down wall?
At last walks for 90 minutes. Determine rule of function which expresses the distance traveled as the function of time.
Determine average rate of change of function y = f(x) between x = 1 and x = 2. Write the difference quotient which can be used to find slope of tangent to f(x) at x = 1.
The manufacturer discovers that revenue generated by selling x units of the certain commodity is provided by function R(x)=80x-0.4x2.