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Tutors Answer Your Questions about Rational-functions (FREE)
Question 148160: Consider the Function  Part A. Find h, the x-coordinate of the vertex of this parabola (show work) Part B. Substitute the two integers immediately to the right of the h into the function to find the corresponding y values. Fill in a table and make sure your x-values are in increasing order in your table.
Click here to see answer by nabla(412)   |
Question 148299: (22 pts) Consider the polynomial f(x) = 2x^3 – 3x^2 – 8x – 3.
(i) By using the Rational Zero Theorem, list all possible rational zeros of the given polynomial.
(ii) Find all of the zeros of the given polynomial. Be sure to show work, explaining how you have found them.
Click here to see answer by jim_thompson5910(13787) |
Question 148715: Give vertex and axis of symmetry for f(x) = x ^2 + 2
(f(x)= x squared plus two
Not sure if the vertex should be (0,2) OR (0,-2) axis is 0.
I solved it by using the formula -b / 2a and then I substituted using the equation a^2 + bx +c.
thanks!
Click here to see answer by oscargut(682)  |
Question 148713: Solve inequality x-6 / x+5 < 0 and graph.
(x minus six divided by x plus five is less than zero.)
I solved the problem but I am not sure which way should be shaded, if that makes any sense.
Solution: (-5, 6)
Just not sure how to shade. (-infin., -5)(6, infinit.) or (-5, 6)
Click here to see answer by oscargut(682) |
Question 148714: Solve 3 / x-6 < 1 and graph on number line.
(Three divided by x minus six is less than 1)
I obtained the solution set of (6, 9) but I am unsure how to graph and if I should include infinity signs or...I am lost on how to shade.
Click here to see answer by mangopeeler07(450) |
Question 148812This question is from textbook Glencoe Algebra 2
: Which if the following is a function?
[(-4,1),(1,8),(-4,-2)]
[(-4,1),(1,-8),(-2,-2)]
[(-4,1),(1,-8),(1,-2)]This question is from textbook Glencoe Algebra 2
Click here to see answer by stanbon(26268) |
Question 148812This question is from textbook Glencoe Algebra 2
: Which if the following is a function?
[(-4,1),(1,8),(-4,-2)]
[(-4,1),(1,-8),(-2,-2)]
[(-4,1),(1,-8),(1,-2)]This question is from textbook Glencoe Algebra 2
Click here to see answer by nerdybill(2446)  |
Question 149338: Suppose a function "f" is defined on an interval around x=c, but possibly not at the point x=c itself. Suppose that as x becomes sufficiently close to c, f(x) becomes as close to a single number "L" as we please. We then say that limit of f(x) as x approches c is "L", and we write
lim f(x)=L
x -> c
apply this definition to the function from above to find lim f(x)
x->2
use the graph to find lim g(x), where g is defined as g(x)= {1, x dose not = 2}
{0, x=2 }
Click here to see answer by stanbon(26268) |
Question 149801: For the given rational function f, find all values of x for which f(x) has the indicated value.
f(x) = 5x + ; f(x) = -38
I don't really understand how I have to approach this to solve it! why are there two different functions?
Click here to see answer by vleith(1977) |
Question 150024: I want to learn this (been 15+ yrs) so I am looking for the why or how answer. I already have the solution(solution manual).
use the vertex abd intercepts to sketch the graph of each quadratic function. give equation of the parabola'a axis of symmetry. use the graph to determine the functions domain and ranges.
f(x)=x^2+3x-10
Click here to see answer by scott8148(3382)  |
Question 150300: The force needed to keep a car from skidding on a curve varies jointly as the weight of the car and the square of the car's speed, and inversely as the radius of the curve. If a force of 3600 pounds is needed to keep an 1800 pound car traveling at 20 mph from skidding on a curve of radius 600 feet what force would be required to keep the same car from skidding on a curve of radius 570 feet at 50 mph? Round your answer to the nearest pound of force?
I don't know the formular for this one and thus don't know how to solve it.
Click here to see answer by Earlsdon(4900) |
Question 150308: square root (x+6)+square root (X-2) = 4
(x+6)2+(x-2)2
X2+6x+6x+36+x2-2x-2x+4=42
2x2+8x+40=16
2x2+8x+24=0
(2x+…)(x+…)
I cannot find 2 numbers that equal 24 but also 8 in the middle... did I approach this exercise wrong? The task was just to solve it...
Click here to see answer by Alan3354(6079)  |
Question 150310: If an object is thrown upward with an initial velocity of 64 ft/sec, its height after t sec is given by h = 64t - 16t2. Find the number of seconds the object is in the air before it hits the ground.
I figure that it would work with d=rt but I don't know how to convert it to this assignment. what throws me off is the h=64t-16t2...
Click here to see answer by scott8148(3382) |
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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
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