Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 1117528: it takes pump A two hours less time than Pump B to empty a swimming pool. Pump A is started at 8:00 am and pump B is started at 10:00. At 12:00 pm, 60% of the pool is empty when pump B book down. How much time at 12 pm would it take pump A to empty the pool?
Click here to see answer by Fombitz(32388)  |
Question 1117676: Rick paddled up the river, spent the night camping, and then paddled back. He spent 10 hours paddling and the campground was 24 miles away. If Rick kayaked at a speed of 5 mph, what was the speed of the current (in mph)?
Click here to see answer by ikleyn(52778)  |
Question 1117778: Write the standard form of the equation of the parabola that has the indicated vertex and passes through the given point. (Let x be the independent variable and y be the dependent variable.)
a. Vertex (-4,9); Point (0,25)
b. Vertex (-2,9); Point (-5,0)
Click here to see answer by greenestamps(13198)  |
Question 1117968: Tom has a backyard that is 100 ft. by 60 ft. He plans to install a rectangular swimming pool bordered by a concrete walkway of uniform width. He wants the area of the pool to take up 1/2 of the area of the entire backyard. Determine the width of the walkways (x). Round your answer to 2 decimals
Click here to see answer by greenestamps(13198)  |
Question 1117979: Learning to find Maximum and Minimum Values for Applications of Quadratic Functions in my Algebra class and the only question on my homework that is giving me trouble is this one:
One number is 6 less than twice a second number. Find a pair of such numbers so that their product is as small as possible.
The two numbers are:
The smallest possible product is:
I can't seem to figure out how to set the equation up. Please help!
Click here to see answer by Podrius(1) |
Question 1117988: Using the formula s = 5.45√d for the speed (s) I'm miles per hour with which an object dropped from a height of d feet strikes the ground.
A) A pair of pliers is dropped from a roof 32 feet high. How fast will it be traveling when it hits the ground?
B) A bullet is shoot 400 feet up into the air. With what speed will it strike the ground?
Click here to see answer by solver91311(24713)  |
Question 1117977: Using the formula s= 5.45√d for speed(s) in Ikea per hour with an object dropped from a height of d feet strikes the ground.
A) A pair of pliers is dropped from a roof 32 feet high. How fast will it be traveling when it hits the ground?
B) A bullet is shoot 400 feet up into the air. With what speed will it strike the ground
Click here to see answer by Alan3354(69443)  |
Question 1118184: You operate a gaming Web site, www.mudbeast.net, where users must pay a small fee to log on. When you charged $3 the demand was 570 log-ons per month. When you lowered the price to $2.50, the demand increased to 855 log-ons per month.
(a) Construct a linear demand function for your Web site and hence obtain the monthly revenue R as a function of the log-on fee x.
R(x)=
(b) Your Internet provider charges you a monthly fee of $40 to maintain your site. Express your monthly profit P as a function of the log-on fee x. HINT [See Example 4.]
P(x)=
Determine the log-on fee you should charge to obtain the largest possible monthly profit.
x = $
What is the largest possible monthly profit?
$
Click here to see answer by Boreal(15235)  |
Question 1118191: The values of two functions, f and g, are given in a table. One, both, or neither of them may be exponential. Give the exponential models for those that are.
x −2 −1 0 1 2
f(x) 0.5 1.5 4.5 13.5 40.5
g(x) 12 6 3 1.5 0.75
Click here to see answer by ikleyn(52778)  |
Question 1118188: You have just opened a new nightclub, Russ' Techno Pitstop, but are unsure of how high to set the cover charge (entrance fee). One week you charged $10 per guest and averaged 250 guests per night. The next week you charged $11 per guest and averaged 240 guests per night.
(a) Find a linear demand equation showing the number of guests q per night as a function of the cover charge p.
q(p) =
(b) Find the nightly revenue R as a function of the cover charge p.
R(p) =
(c) The club will provide two free non-alcoholic drinks for each guest, costing the club $3 per head. In addition, the nightly overheads (rent, salaries, dancers, DJ, etc.) amount to $2,000. Find the cost C as a function of the cover charge p.
C(p) =
(d) Now find the profit in terms of the cover charge p.
P(p) =
Determine the entrance fee you should charge for a maximum profit.
p = $ per guest
Click here to see answer by greenestamps(13198)  |
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