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Question 859424: Given the quadratic function f(x)= ax^2+bx+10 has a maximum point (2,18).
(a) Without using the differentiation method or drawing a graph, determine the values of a and b.
(b)Sketch the graph of the function f(x). Hence, find the range of f(x) for the domain 0 (< or =) x (< or =) 3
Click here to see answer by Fombitz(32388)  |
Question 859613: a bridge take 12 cubic yards of concrete to make it 4 inches thick. I need to write a direct variation equation that relates c( cubic yds of concrete) and t (thickness in inches). Then I need to determine how many cubic yds of concrete is needed to make the bridge 6 inches thick.
Click here to see answer by richwmiller(17219)  |
Question 860578: Nuclear Waste: The table gives the heavy metal nuclear waste (in thousands of metric tons) from spent reactor fuel stored temporarily at reactor sites, awaiting permanent storage.
Heavy Metal Nuclear Waste
Year X Waste Y
1995 32 32
2000 42 42
2010 61 61
2020 76 76
Let x= 0 represent 1995, x=5 represent 2000 (Since 2000-1995=5), and so on.
(a) Use (0, 32) and (25, 76) to find the equation of a line that approximates the other ordered pairs. Use the form y= mx+b.
(b) Use the equation from part (a) to estimate the amount of nuclear waste in 2008.
Click here to see answer by josgarithmetic(39617) |
Question 862065: In May 2003, a gas company had the given rate schedule for natural gas usage in single-family residences.
Monthly service charge- 10.25
1st 60 therms- 0.24228/therm
Therms over 60- 0.23599/therm
Gas Charge- 0.267/therm.
Construct a function that relates the monthly charge C for x therms of gas. There are two pieces of the function: one that represents the total cost when 60 therms or fewer are used, and one that represents the total cost when more than 60 therms are used.
First piece of the function, let x be the total number of therms used, and then add together all the constant charges. What does the first piece of the function look like?
C= 10.25+0.24228x+0.2627x=10.25+.50498 for 0
Using the same method, find the second piece of the function. Recall that the “Therms over 60” service charge needs to be added, which represents the cost of the additional therms over 60.
What does the second function look like?
C= 10.63+.49869x for x>60.
My question is what do you calculate to get 10.63?
Click here to see answer by josgarithmetic(39617) |
Question 863185: Two blocks are dropped , one from a height of 400 feet and the other from a height of 256 feet.
A. complete the two height functions.
h1(t)=-16t^2+ _______ <
h2(t)=-16t^2+________ << another blank.
B. Sketch and compare their graphs.
c. Tell when each block reaches the ground.
If you can help me thank you so much! show all work please if some.
Click here to see answer by jim_thompson5910(35256) |
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