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Question 1137546: Please help with this question.
A quadratic function has these characteristics:
x = 1 is the equation for the axis of symmetry.
x = - 1 is an x-intercept.
y = - 4 is the minimum value.
Determine the y-intercept of this parabola.
Explain your thought process.

Click here to see answer by greenestamps(13200)

Question 1137558: At a baseball game, workers toss T-shirts to spectators in the stands out of a sling-shot. The height of a T-shirt is modelled by the function h(t)=-5t^2+20t+1 where h(t) is height in metres and t is the time in seconds after the toss.
What is the maximum height of the T-shirt if it is not caught?
How much time does it take the T-shirt to reach maximum height?
Click here to see answer by ikleyn(52778)

Question 1137554: Travis and Laura are rock climbing. Travis throws a spike to Laura. The function h(t)=-5t^2+20t+110 models he height of the spike in metres above the ground at time t. Laura is 135 m above the ground. Did Travis’ throw reach Laura? Explain your answer.

Click here to see answer by ikleyn(52778)

Question 1137574: Given f(x)=(x+8)^2-3 , determine the equation of the inverse.
Click here to see answer by Theo(13342)

Question 1137577: For what value(s) of k will the function h(x)=4x^2-kx +25 have only one zero? Explain your answer.
Click here to see answer by Theo(13342)

Question 1137584: -4\ \sqrt{51}\cdot 6\ \sqrt{3}
Click here to see answer by Alan3354(69443)

Question 1137592: Please help with this question.
The demand function for a new DVD is p(x)=-2.5x+17.5 where p(x) represents the selling price, in thousands of dollars, and x is the number of DVDs sold, in thousands.
a) Determine the revenue function.
b) Determine the maximum revenue.
c) Determine the number of DVDs that need to be sold to reach the maximum revenue.
Click here to see answer by MathLover1(20849)

Question 1137646: A farmer wants to create four rectangular corral's to separate his livestock. He has 750m of fencing to create the corrals as seen below. If the rancher wants the total area to be a maximum, what dimensions should be used to make the corral's?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1137661: Maxine and Ramon are in a hot air balloon. They drop a sand bag from the balloon. The height of the sandbag can be modelled by the function h(t)=-5t^2+80 where h(t) is the height of the sand bag above the ground, in metres, at time t seconds after it is dropped.
a) Determine the domain and range of the function.
b) Graph the function with any restrictions.
c) Graph h^-1 for the same domain and range.
d) Determine the equation for h^-1(t)
e) Is the graph of the inverse a function? Explain your answer.
Click here to see answer by josmiceli(19441)

Question 1137680: Help with function homework.
Gloria is skeet shooting. The height of the skeet is modelled by the function h(t)=-4.9t^2+32t+2 where h(t) is the height in metres after t seconds. The path of Gloria’s pellet is modelled by the function g(t)=28.5t+1 , with the same units.
a) How high off the ground will the skeet be when it is hit?
b) After how many seconds will the skeet be hit?
Click here to see answer by MathLover1(20849)

Question 1137679: Gloria is skeet shooting. The height of the skeet is modelled by the function h(t)=-4.9t^2+32t+2 where h(t) is the height in metres after t seconds. The path of Gloria’s pellet is modelled by the function g(t)=28.5t+1 , with the same units.
a) How high off the ground will the skeet be when it is hit?
b) After how many seconds will the skeet be hit?
Click here to see answer by MathLover1(20849)

Question 1137659: Gloria is skeet shooting. The height of the skeet is modelled by the function h(t)=-4.9t^2+32t+2 where h(t) is the height in metres after t seconds. The path of Gloria’s pellet is modelled by the function g(t)=28.5t+1 , with the same units.
a) How high off the ground will the skeet be when it is hit?
b) After how many seconds will the skeet be hit?
Click here to see answer by josmiceli(19441)

Question 1137676: Please help with this question.
Gloria is skeet shooting. The height of the skeet is modelled by the function h(t)=-4.9t^2+32t+2 where h(t) is the height in metres after t seconds. The path of Gloria’s pellet is modelled by the function g(t)=28.5t+1 , with the same units.
a) How high off the ground will the skeet be when it is hit?
b) After how many seconds will the skeet be hit?
Click here to see answer by rothauserc(4718)

Question 1137556: Gloria is skeet shooting. The height of the skeet is modelled by the function h(t)=-4.9t^2+32t+2 where h(t) is the height in metres after t seconds. The path of Gloria’s pellet is modelled by the function g(t)=28.5t+1 , with the same units.
a) How high off the ground will the skeet be when it is hit?
b) After how many seconds will the skeet be hit?
Click here to see answer by ikleyn(52778)

Question 1137736: On a journey of 200 km, a motorist found that if he were to increase his average speed by 2 km/h, the journey would take 15 minutes less. Calculate his average speed
Click here to see answer by josgarithmetic(39617)

Question 1137576: Simplify
-4 sqrt( 51 ) }}} × 6 sqrt( 3 ) }}}
Click here to see answer by math_helper(2461)

Question 1137741: A village P is 12 km upriver from a village Q. It takes 3 hours 20 minutes to go from Q to P and back to Q by boat. If the boat travels at 6 km/hr upriver and (6 + x) km/hr down river, what is the value of x
Click here to see answer by josmiceli(19441)

Question 1137871: A rocket is shot into the air and travels h = −4.9t^2 +30t + 45 where h is the height of the object and t is in seconds. What is the time when the object hits the ground to the nearest tenth of a second?
Click here to see answer by ikleyn(52778)

Question 1137933: How do I write the quadratic equation whose roots are 1 and -3, and whose leading coefficient is 4

Click here to see answer by ikleyn(52778)

Question 1137983: I'm at the beginning of college algebra, I have decent experience in algebra yet I have a hard time solving this among quadratic equations: 2(x+4)^2+18=0
Do I use the distributive property before using the quadratic formula? thanks in advance.
Click here to see answer by josgarithmetic(39617)

Question 1138425: THE SIDE OF AN EQUILATERAL TRIANGLE ARE GIVEN AS(3x+2)cm, (2y-x)cm and (y+3)cm.find x and y, and the perimeter of the triangle.
Click here to see answer by Boreal(15235)

Question 1138433: Kylie went on a 126 mile trip to a soccer game. On the way back, due to road construction she had to drive 21 miles per hour slower. This made the trip take 1 hour longer. How fast did she drive to the soccer game?

Click here to see answer by josgarithmetic(39617)

Question 1138432: A farmer bought a number of pigs for $100. However, 5 of them died before he could sell the rest at a profit of 5 per pig. His total profit was $50. How many pigs did he originally buy?

Click here to see answer by ikleyn(52778)

Question 1138606: A company sold 6000 pairs of pants for $84 each. Sales will drop for every $1 increase. The company pays $37 for each pair of pants. How many pants can they sell to maximize profit?
Click here to see answer by josgarithmetic(39617)

Question 1138650: Help with exponential functions homework
The population of a town has grown at an annual rate of approximately 2.7%. How long will it take for its population of 18 450 people to double at this growth rate?

Click here to see answer by josmiceli(19441)

Question 1138655: Jack hit a golf ball from the ground and its movement follows the equation h(t)=-16t^2+84t, where t is the time in seconds, and h(t) is the height of the ball at a given time t.
Find the time that it took the golf ball to hit the ground again correct to two decimal places.
seconds

Click here to see answer by Boreal(15235)

Question 1138675: Which of the following equations is an example of a quadratic function?
1. Y= 3x
2. Y=100-4x2
3. Y=[8x-1]
4 y=2-x
Click here to see answer by josgarithmetic(39617)

Question 1138678: Compared to the parent graph of f(x)=X3, the graph of h(x)= 4X3 is?
1. h(x) is narrower than f(x)
2. h(x) is reflected over the x-axis
3. h(x) is wider than f(x)
4. h(x) is reflected over the y-axis
Click here to see answer by MathLover1(20849)

Question 1138679: Compared to the parent graph of f(x) =square root of x, the graph of h(x) =-square root x is:
1. Translated right 8 units
2. Translated left 8 units
3. Reflected over the x-axis
4. Refldcted over the y-axis
Click here to see answer by MathLover1(20849)

Question 1138676: Compare the graph if h(x)=3/4X2 with the graph f(x)=X2. Which statement is true?
1. h(x) wS vertically shrunk
2. h(x) was reflected over the x-axis
3. h(x) was vertically stretched
4. H(x) was reflected over the y-axis
Click here to see answer by MathLover1(20849)

Question 1138843: Help with exponential functions homework.
Use power rules to evaluate 225^1/2 -1000^1/3 +1331^2/3

Click here to see answer by MathLover1(20849)

Question 1138859: A retailer planned to buy some computers form a wholesaler for a total of ksh 1,800,000, before the retailer could buy the computers the price per unit was reduced by ksh.4000. this reduction in price enabled the retailer to buy 5 more computers using the same amount of money as originally planned. Determine the number of computers the retailer bought.
Click here to see answer by ikleyn(52778)

Question 1138858: A retailer planned to buy some computers form a wholesaler for a total of ksh 1,800,000, before the retailer could buy the computers the price per unit was reduced by ksh.4000. this reduction in price enabled the retailer to buy 5 more computers using the same amount of money as originally planned. Determine the number of computers the retailer bought.
Click here to see answer by ikleyn(52778)

Question 1138933: A plastic hoop is thrown upward from the top of a 168 foot high building at a speed of 88 feet per second. The plastic hoop's height above ground can be modeled by the equation Hbracket(t)=-16sup(t,2)+88t+168.
When does the plastic hoop reach the maximum height?
t= seconds
Click here to see answer by josgarithmetic(39617)

Question 1138844: Please help with this question with exponential functions
A cup of hot liquid was left to cool in a room whose temperature was 18°C. The temperature changes according to the function T(t)=80(1/2)^t/30+18 What are the y-intercept and the equation of the horizontal asymptote? What do they mean in this context?

Click here to see answer by greenestamps(13200)

Question 1139161: what is the range of h(t)= -4.9(t-3)^2 + 60
Click here to see answer by MathLover1(20849)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 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20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 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