Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 1205519: The equation H(T)=-16x^2+64x+9 models the height, H , in feet, of a model rocket t
seconds after it has been launched from 9 feet above the ground. How many seconds after launching the rocket will it reach its maximum height?
A.1 seconds
B.2 seconds
C.2.5 seconds
D.3 seconds
Click here to see answer by Alan3354(69443)   |
Question 1205519: The equation H(T)=-16x^2+64x+9 models the height, H , in feet, of a model rocket t
seconds after it has been launched from 9 feet above the ground. How many seconds after launching the rocket will it reach its maximum height?
A.1 seconds
B.2 seconds
C.2.5 seconds
D.3 seconds
Click here to see answer by MathLover1(20849)  |
Question 1205564: A city fountain shoots jets of water that pass back and forth through a marble wall in its center. One jet of water begins 12 feet away from the wall and passes through a hole in the wall that is 12 feet high before landing 5 feet away on the other side. Write a quadratic function that represents the path the jet of water takes?
Click here to see answer by ikleyn(52776)  |
Question 1205578: Duane throws a tennis ball in the air. After 1 second, the height of the ball is 53 ft. After 2 seconds, the ball reaches a maximum height of 69 feet. After 3 seconds the height of the ball is 53 ft.
Part A. Write a quadratic function to represent the height of the ball, β, at any point in time, π‘.
Part B. How long will the tennis ball stay in the air? Round your answer to the nearest
tenth second.
Click here to see answer by ikleyn(52776) |
Question 1205599: Characteristics of Linear Functions
For each function below, identify the Slope, horizontal-intercept and vertical-intercept
Write your numerical answers as whole numbers or reduced fractions. Write your intercepts as ordered pairs. Write DNE if a slope or an intercept Does Not Exist.
Function Slope Vertical Intercept
-3y+7x=-21
y=-9-7/8x
x=-4/5
y=-9x
y=8/3
Click here to see answer by josgarithmetic(39616) |
Question 1205624: Lawrence is increasing his rectangular patio in his backyard. His patio is currently 12 feet by 10 feet. He wants to increase the patio by adding a decorative tile the same width (x) all the way around creating a total area of 180 square feet. Select all the quadratic equations that represent Lawrenceβs new patio area.
A x^2 + 11x β 15 = 0
B x^2 β 11x β 15 = 0
C x^2 + 22x β 60 = 0
D x^2 β 22x β 60 = 0
E 4x^2 + 44x β 60 = 0
F 4x^2 β 44x β 60 = 0
Click here to see answer by josgarithmetic(39616) |
Question 1205624: Lawrence is increasing his rectangular patio in his backyard. His patio is currently 12 feet by 10 feet. He wants to increase the patio by adding a decorative tile the same width (x) all the way around creating a total area of 180 square feet. Select all the quadratic equations that represent Lawrenceβs new patio area.
A x^2 + 11x β 15 = 0
B x^2 β 11x β 15 = 0
C x^2 + 22x β 60 = 0
D x^2 β 22x β 60 = 0
E 4x^2 + 44x β 60 = 0
F 4x^2 β 44x β 60 = 0
Click here to see answer by MathLover1(20849) |
Question 1205624: Lawrence is increasing his rectangular patio in his backyard. His patio is currently 12 feet by 10 feet. He wants to increase the patio by adding a decorative tile the same width (x) all the way around creating a total area of 180 square feet. Select all the quadratic equations that represent Lawrenceβs new patio area.
A x^2 + 11x β 15 = 0
B x^2 β 11x β 15 = 0
C x^2 + 22x β 60 = 0
D x^2 β 22x β 60 = 0
E 4x^2 + 44x β 60 = 0
F 4x^2 β 44x β 60 = 0
Click here to see answer by math_tutor2020(3816) |
Question 1205638: In 1990, the National Park system consisted of about 76.4 million acres. By 2009, the figure had grown to 80.4 million acres. Let A(t) represent the amount of land in the National Park system, in millions of acres, t years after 1990.
a. Find the rate of change in the amount of land in the National Park system.
b. Using the given variables write linear function that fits the data.
Click here to see answer by josgarithmetic(39616) |
Question 1205656: Given below are descriptions of two lines.
Line 1: Goes through (-11,-9) and (2,4).
Line 2: Goes through (-4,0) and (-15,-11).
The slope of Line 1
The slope of Line 2
Finally, which of the following is true?
Line 1 is parallel to Line 2.
Line 1 is perpendicular to Line 2.
Line 1 is neither parallel nor perpendicular to Line 2.
Click here to see answer by josgarithmetic(39616) |
Question 1205656: Given below are descriptions of two lines.
Line 1: Goes through (-11,-9) and (2,4).
Line 2: Goes through (-4,0) and (-15,-11).
The slope of Line 1
The slope of Line 2
Finally, which of the following is true?
Line 1 is parallel to Line 2.
Line 1 is perpendicular to Line 2.
Line 1 is neither parallel nor perpendicular to Line 2.
Click here to see answer by MathLover1(20849) |
Question 1205656: Given below are descriptions of two lines.
Line 1: Goes through (-11,-9) and (2,4).
Line 2: Goes through (-4,0) and (-15,-11).
The slope of Line 1
The slope of Line 2
Finally, which of the following is true?
Line 1 is parallel to Line 2.
Line 1 is perpendicular to Line 2.
Line 1 is neither parallel nor perpendicular to Line 2.
Click here to see answer by math_tutor2020(3816) |
Question 1205657: Consider Line 1 with the equation: x=-13
Give the equation of the line parallel to Line 1 which passes through (-5,-4)
Give the equation of the line perpendicular to Line 1 which passes through (-5,-4)
Consider Line 2, which has the equation: y=x-7
Give the equation of the line parallel to Line 2 which passes through (-8,8)
Give the equation of the line perpendicular to Line 2 which passes through (-8,8)
Click here to see answer by Edwin McCravy(20054)  |
Question 1205665: The base of bridge is parabolic in shape. It is 160m wide at the base and 100m high. Determine an algebraic expression, in standard form, that models the shape of the bridge. Draw a diagram and state any assumptions made.
Click here to see answer by ikleyn(52776) |
Question 1205668: The cables between the two posts onthe Golden Gate Bridge is in the shape of a parabola. The bridge is 535 feet
tall from the road to the top of the support poles and 4100 feet wide. Create an equation in standard and factored form to
represent the shape of the parobola
First write an equation in factored from
Click here to see answer by MathLover1(20849) |
Question 1205668: The cables between the two posts onthe Golden Gate Bridge is in the shape of a parabola. The bridge is 535 feet
tall from the road to the top of the support poles and 4100 feet wide. Create an equation in standard and factored form to
represent the shape of the parobola
First write an equation in factored from
Click here to see answer by ikleyn(52776) |
Question 1205697: The sum of two numbers is 32. One number is 10 less than the other. Find the numbers.
The smaller number is:
The larger number is
Ervin has been offered positions by two car dealers. The first company pays a salary of $20,000 plus a commission of $300 for each car sold. The second pays a salary of $15,000 plus a commission of $500 for each car sold. How many cars would need to be sold to make the total pay the same?
Click here to see answer by MathLover1(20849) |
Question 1205698: The perimeter of a rectangle is 84. The length is 14 more than the width. Find the width and length.
Width:
Length:
The perimeter of a rectangle is 66. The length is 3 less than
5 times the width. Find the width and length.
Width:
Length:
Click here to see answer by josgarithmetic(39616) |
Question 1205698: The perimeter of a rectangle is 84. The length is 14 more than the width. Find the width and length.
Width:
Length:
The perimeter of a rectangle is 66. The length is 3 less than
5 times the width. Find the width and length.
Width:
Length:
Click here to see answer by math_tutor2020(3816) |
Question 1205706: The sum of two numbers is 13. One number is 25 less than the other. Find the numbers.
The smaller number is:
The larger number is:
The perimeter of a rectangle is 124. The length is 4 less than
5 times the width. Find the width and length.
Width:
Length:
The measure of one of the small angles of a right triangle is 29 less than 6 times the measure of the other small angle. Find the measure of both angles.
Smallest angle:
Other non-right angle:
Jerome currently sells stoves for Gabriela's Stove Store at a salary of $16,000 plus a $10 commission for each stove he sells. Logan's Stove Store offers him a position with a salary of $13,000 plus a commission of $25 for each stove he sells. How many stoves would he need to sell for the options to be equal?
Click here to see answer by Theo(13342)  |
Question 1205707: When London spent 30 minutes on the elliptical trainer and then did circuit training for 10 minutes, her fitness app said she burned 470 calories. When she spent 10 minutes on the elliptical trainer and 30 minutes circuit training she burned 370 calories. Solve the system:
{ (30 e + 10 c = 470), (10 e + 30 c = 370) :}
for e , the number of calories she burned for each minute on the elliptical trainer, and c , the number of calories she burned for each minute of circuit training.
e =
c =
Click here to see answer by Theo(13342) |
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11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 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