# Find the range of values of k for which the expression x^2 -4x + k will be positive for all real values of x. Hence state the range of values of x satisfying the inequality x^2 -4x + 7 >

143,467 results

1. ### maths inequalities...

Find the range of values of k for which the expression x^2 -4x + k will be positive for all real values of x. Hence state the range of values of x satisfying the inequality x^2 -4x + 7 > 0. For the first part, this is what i did: (-4)^2 - 4(k) > 0 k<4 but how do i do ...
2. ### Algebra 2

Amelia is documenting the height of sunflower plants each week. She has determined the function to be f(x) = 3x + 3, where x represents time and f(x) represents the height of the plant. Which of the following options describes the restrictions to the domain (x) and range f(x) ...
3. ### Algebra

I've learned that the difference between domain and range is.....domain is the set of possible X values and range is the set of possible Y values. also, a domain is the values that a function maps "from" and the range is the values that a function maps "to" I am having ...
4. ### Mathematics Algebra

Question: If the expression (x^2 + 2x +4)/(x^2 - 2x - 4) has a value between (1/3) and 3 for all real values of x, determine the range of the expression [9.(3)^x + 6.(3)^2x + 4]/[ 9.(3)^2x - 6.(3)^x +4 My thoughts on the question: I can see that if we substitute x=[3.(3)^x] we...
5. ### Math

x^2+x-k find all positive values for k, if it can be factored Allowed values of k for for the expression to be factorable with integers are a*(a+1) where a is an integer equal to 1 or more. For example: 2, 6, 12, 20... The factors are (x-a)(x+a+1) There are also real non-...
6. ### Pure Mathematics

1. Given that the straight line y=c-3x does not intersect the curve xy=3, find the range of values for c. 2. Find the range of values for c for which the line y=cx+6 does not meet the curve 2x^2-xy=3. 3. Find the range of values for k for which 8y=x+2k is a tangent to the ...
7. ### Maths

Find the range values of c for which 3x^2 - 9x + c > 2.25 for all values of c.
8. ### algebra

A research scientist measures the outside temperature, in degrees Fahrenheit, at various times throughout a 24-hour period and records her findings in the graph below. In this real-world function, the hours represent the input values, and the temperature represents the output ...
9. ### Mathematical Range.

Apologies. I am heavily dyslexic and I find this very difficult to grasp. I have two graphs with x and r as the variables. I am trying to state the range in which the values of this graph meet a certain criteria. For graph 1 I have found the range to be +-3 to +-11.1. And ...
10. ### Intermediate Algebra

Evaluate the exponential function for three positive values of x, three negative values of x, and at x=0. Show your work. Use the resulting ordered pairs to plot the graph; State the domain and the range of the function. f(x) = e^x
11. ### math 116

What is the difference between domain and range? The domain of a function is the set of all values for the independent variable (in the following example, that's the x) for which the function is defined. That is, if you have a function such as f(x) = 1/x Then this function is ...
12. ### MATH,HELP

Can someone show me how to even do this problem. Find all positive values for K for which each of the following can be factored. x^2 + x - k News flash: It can be factored with any term (although the roots may not be real roots). Now if you mean factored with real values for ...
13. ### Maths

Expand ln(1+x) and ln(1-x) and hence deduce that ln((y+1)/(y-1))=[2/y]+[2/(3(y^3))]+[2/(5(y^5))]+[2/(7(y^7))]. State the range of values of y for which the expansion is valid. Hence calculate ln(101) correct to 4 significant figures given that ln(99)=4.59507. I managed to ...
14. ### Math

A function is created to represent the height above sea level of a mountain climber every hour. What restrictions would be made to the range? A-range includes all real numbers B-range includes positive integers C-range includes positive real numbers D-range includes negitive ...
15. ### algebra

Evaluate the exponential function for three positive values of x, three negative values of x, and at x=0. Show your work. Use the resulting ordered pairs to plot the graph; submit the graph via the Dropbox. State the domain and the range of the function. f(x) = e^(-x) - 1
16. ### math

state the period, the amplitude and the phase shift of the function y = 1+1/3sin2(x+n/2), hence sketch the curve for the values of x in the range -n/2<x<3n/2. (n is pie couldn't get exact symbol)
17. ### Algebra

Find all x-values such that f(x)=-4 x=__? What is the range? a)y|-oo<y<_0 b)All real numbers c)y|-10<y<_10 d)y|0<_y<oo
18. ### Physics question

Students decide to measure a projectile's range for an initial projectile angle of 45°. This angle has many advantages, not the least being that since the expression for the range is proportional to the sine of twice this angle, errors in determining the angle do not ...
19. ### Math

Given that the quadratic equation x^2-2x-m+1=0 has 2 positive real number roots, a and b, determine the range of the values of m.
20. ### math

Vernon Wells hits a baseball that travels for 142m before it lands. The flight of the ball can be modeled by a quadratic function in which x is the horizontal distance the ball has traveled away from Vernon, and h(x) is the height of the ball at that distance. Assume that the ...
21. ### algebra

Please help, very lost Evaluate the exponential function for three positive values of x, three negative values of x, and at x=0. Show your work. Use the resulting ordered pairs to plot the graph; submit the graph via the Dropbox. State the domain and the range of the function...
22. ### Maths

Find the first four terms in the binomial expansion of (1+x)^(1/5) and state the range of values of x for which this expansion is valid.Hence approximate (31)^(1/5) correct to four decimal places.
23. ### Maths

Find the first four terms in the binomial expansion of (1+x)^(1/5) and state the range of values of x for which this expansion is valid.Hence approximate (31)^(1/5) correct to four decimal places.
24. ### Math

What is range Range is the possible values a dependent variable may take on. For instance, If y= 3x+2, and the domain of x is {0,1,2}, then the range of y is [2,5,8]
25. ### Maths integration

Please help! These 2 questions are very similar, and i tried to do completing square method, but i cant get the correct answer! I'm trying to get the dy/dx to be a complete square thingy to show that the value is always greater or equal to 0. 1. Show that the function f(x)= x^...
26. ### algebra

The Jackson High School gymnastics team sells calendars for their annual fundraiser. The function rule below describes the amount of money the team can raise, where y is the total amount in dollars, and x is the number of calendars sold. y x = + 3 28 Use the function rule to ...
27. ### math

With regards to question J: The variables x and y are connected by the equation y = x2 - x - 5. Some corresponding values of x and y are given in the table below. x -4 -3 -2 -1 0 1 2 3 4 5 y 15 7 a -3 -5 b -3 1 7 15 (a) Calculate the values of a and b (b) Use 2 cm to represent...
28. ### math

Suppose that z(x,y) may be defined implicitly by {x}^2 - {y}^2- {z}^2 = 16, enter inequalities for the domain (x and y values) and the range (z values).
29. ### Algebra

23. The ___ axis represents the independent variable. X? 21. Name the set(s) of numbers to which 1.68 belongs. a. rational numbers b. natural numbers, whole numbers, integers, rational numbers c. rational numbers, irrational numbers d. none of the above I'm not sure 27. The ...
30. ### Algebra

The following functions are defined for all real values of x. Find the range of the funcion. 1) y=m^2-4m-5 2) y=-9v^2-18v-55. Thank you for your help. (Please step by step.
31. ### maths

what is the largest domain of the following functions f(x)=3x-5 f(x)=square root of (x+4) f(x)= 2 over x-4 f(x)= sqaure root of (x2-9) f(x)= 2 over x(x+7) Hopefully you've solved these by now. I just noticed the question and see there's no reply. The question is "what is the ...
32. ### algebra 1

A research scientist measures the outside temperature, in degrees Fahrenheit, at various times throughout a 24-hour period and records her findings in the graph below. In this real-world function, the hours represent the input values, and the temperature represents the output ...
33. ### Algebra

Evaluate the logarithmic function for three values of x between zero and one, three values of x greater than 1, and at x=1. Show your work. Use the resulting ordered pairs to plot the graph. State the domain and the range of the function. g(x) = ln x + 2
34. ### algebra

Find the domain and range of the relation and determine whether it is a function? Answers are Domain x>1 range y>0yes it is a function Domain all real numbers,range all real numbers yes it is a function Domain positive integers, range positive integers no it is not a ...
35. ### Maths

The question is "Show that z-2 is a factor of P(z)= z^3+mz^2+(3m-2)z-10m-4 for all values of m. For what values of m is (z-2)^2 a factor of P(z)?" I've proven the first part, using synthetic division, for all values of m. But the second part, I don't understand why the divisor...
36. ### Algebra 1 (Reiny or Kuai)

Give the domain and range values of each relation. Tell whether the relation is a function. The x-values are -3, -2, -1, -2. The y-values are 9, 6, 3, 0. A: D: {-3, -2, -2}; R: {9, 6, 3, 0} No, this relation is not a function?
37. ### Math

Domain describes the x values on a graph, Range describes the y values. Domain is the independent value, making range the dependent value.
38. ### math

What is range? From the lowest value to the highest value. I suppose you're talking about the terms that apply to the concept of function. The most common definition for this term is the set of values for the dependent variable. That is, it is the set of reals f(x) for all x ...
39. ### Algebra plz help

1.Identify the domain and range of the following relation. {(3,7),(3,8),(3,-2),(3,4),(3,1)} A.Domain:{3} Range:{-2,1,4,7,8}**** B.Domain:{-2,1,4,7,8} Range:{3} C.Domain:{all real numbers} Range:{all real numbers} D.Domain:O/ Range:O/ 2.Determain whether the following relation ...
40. ### Maths

Find the values of A. B and C if the expression Ax(x-2)(x+3)+Bx(x-2)+Cx(x+3)+(x-2)(x+3) has a constant value for all values of x
41. ### math

1. What is the range on the number line for all values of x^3 if x < -2 ? 2. What is the range on the number line for all values of x^3 if -2 < x < 2 ?
42. ### Pre-Calculus/Trigonometry

Help Me, Please Here is a table of values for y = f(x). x: 0, 5, 10, 15, 20, 25, 30, 35, 40 f(x): 5, 6, 7,8, 9, 10, 11, 12, 13 Mark the statements that are true. A. f(5) = 6 B. The domain for f(x) is the set {5, 6, 7, 8, 10, 11, 12, 13}. C. The range for f(x) is all real ...
43. ### Algebra

1.Identify the domain and range of the following relation. {(3,7),(3,8),(3,-2),(3,4),(3,1)} A.Domain:{3} Range:{-2,1,4,7,8}**** B.Domain:{-2,1,4,7,8} Range:{3} C.Domain:{all real numbers} Range:{all real numbers} D.Domain:O/ Range:O/ 2.Determain whether the following relation ...
44. ### Maths

For this question, use the copy of the Random Number table provided at the end of this AAT. (This table was copied from page 111 in the Textbook.) Select 48 values according to the following criteria. o The first thirty (30) numbers must lie in the range from 48 to 58 ...
45. ### Math

Find the sum of the absolute values of all integral values of X that make the following expression prime: (x^2-5x)^2 - 34
46. ### Add maths form 4

The quadratic equation 2qx(x+1)-8x^2-1, where q is a constant, has no real roots. Find the range of values of q. Answer given is -2<q<4
47. ### Finding Range - Maths

Let f:{x: IxI > 100} => R, f(x) = 1/x^2. State the range of f. Let f:{x: IxI < 0.1} => R, f(x) = 1/x^2. State the range of f. *R = real numbers How do you find the two ranges? I know it sounds embarrassing but I am struggling to work out the range. Can you please ...
48. ### Algebra

Totally lost here! Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Transform the second expression into the equivalent logarithmic equation; and evaluate the logarithmic equation for three values of x that are greater ...
49. ### Maths A

Select 48 values according to the following criteria. o The first thirty (30) numbers must lie in the range from 48 to 58 inclusive. o The next ten (10) numbers must lie in the range from 30 to 70 inclusive. o The remaining eight (8) numbers must lie in the range from 50 to 95...
50. ### math

1. solve the following inequality to find a range of values for x : -18 < x -7 < -6 2. solve the following inequality to find a range of values for x : -96 < -12x < -12
51. ### Precal

How do you find range of theta values for a polar equation? Usually the range of theta is 0 to 2 pi radians (or 0 to 360 degrees). It could be defined for a wider range of angle, but 2 N pi + theta, with N any integer, is equivalent to theta in polar coordinates.
52. ### Algebra

Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Transform the second expression into the equivalent logarithmic equation; and evaluate the logarithmic equation for three values of x that are greater than 1, three values...
53. ### Physics

Two spheres of charge q1 and q2 that are equal in magnitude (i.e. |q1| = |q2|) are attached by a spring with a constant k = 1440kg/s2 and a rest length of x0 = 83.0cm. We take negative values of Äx for compression and positive Äx values for expansion. Knowing that q1 is ...
54. ### Physical-Chemistry

Protein denaturations are usually irreversible but may be reversible under a narrow range of conditions. At pH 2.0, at temperatures ranging from about 40o C to 50o C, there is an equilibrium between the active form P and the deactivated form D of the enzyme trypsin: P ¡ê D. ...
55. ### Intermediate Algebra

Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Transform the second expression into the equivalent logarithmic equation; and evaluate the logarithmic equation for three values of x that are greater than 1, three values...
56. ### Math

If the equation sinx+cosx=m processes solution then range of the range of values of m is given by?
57. ### Algebra

Complete the table for each function. 1. f(x) = √x The x values are 0, 1,4 and 9. The corresponding y values that I got are 0, 1, 2 and 3. 2. g(x) = -1/4√ x The x values are 0, 1, 4, and 9. The corresponding y values that I got are 0, -1/4, -1/2 and -3/4 3. h(x...
58. ### Intermediate algebra

Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Transform the second expression into the equivalent logarithmic equation; and evaluate the logarithmic equation for three values of x that are greater ththan 1, three ...
59. ### Algabra 2

Draw a graph that is not function and has these three properties: Domain of x-values satisfying -3<x<5 Range of y-values satisfying -4<y<4 Includes the points (-2,3) and (3,-2)
60. ### Algabra 2

Draw a graph that is not function and has these three properties: Domain of x-values satisfying -3<x<5 Range of y-values satisfying -4<y<4 Includes the points (-2,3) and (3,-2)
61. ### math

Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Transform the second expression into the equivalent logarithmic equation; and evaluate the logarithmic equation for three values of x that are greater than 1, three values...
62. ### algebra, logarithms

Evaluate the exponential equation for three positive values of x, three negative values of x, and at x=0. Transform the second expression into the equivalent logarithmic equation; and evaluate the logarithmic equation for three values of x that are greater than 1, three values...
63. ### pure math

i) Expand (1-(x/2))1/5 ii)State the range of values of x, for which the expansion is valid
64. ### Calculus (I Truly Need Help) Continued

a(r)=ðr² This is a function. The right hand side is the rule. r is the independent variable. The domain of r (i.e. the values it can assume) is ℝ+, meaning all positive real values, since we do not have a negative radius. Does This Have an Inverse?
65. ### Algebra 2B

Come up with a new linear function that has a slope that falls in the range −< < 1 0 m . Choose two different initial values. For this new linear function, what happens to the function’s values after many iterations? Are the function’s values getting close to a...
66. ### algebra

Find all positive values for k for which each of the following can be factored. x^2+3x+kthe coefficent of the middle term is 3 3=2+1 k=2*1=2 did i do this right This one I had no Idea where to start can some one please explain it to me x^2+x-k The second one cannot be factored...
67. ### Math

Which table shows a function whose range has exactly three elements? x |f(x) 1 | 4 2 | 4 3 | 4 /////// x |f(x) 3 | 8 4 | 6 5 | 12 6 | 8 /////// x |f(x) 0 | 5 2 | 9 0 | 15 /////// x |f(x) 1 | 4 3 | 2 5 | 1 3 | 4 Is the answer C? I was also thinking A since the f(x) values are 4...
68. ### algebra

Find the domain and range of the function. 1. f(x)= x^2-x I got: Domain= All Real Numbers Range= All Real Numbers > -1 (with a line under the greater than sign) 2. f(x)= 1-x^2 I got: Domain= All Real Numbers Range= All Real Numbers < 1 (with a line under the less than ...
69. ### Chemistry...Attn DrBob222

Thanks for your earlier thoughts. Am still working on the problem and would like to know if you have any thoughts on my approach below: If I have a set of data that gives the apparent partition coefficient as a function of pH, over a range of pH 2-10, how do I calculate the Ka...
70. ### Math 8th Grade

The chart below shows an expression evaluated for four different values of x x: x2+x+5: 1 7 2 11 6 47 7 61 Josiah concluded that for all positive values of x, x2+x+5 produces a prime number. Which value of x serves as a counterexample to prove Josiah’s conclusion false? A: 5...
71. ### math

1. solve the following inequality to find a range of values for x: -11 < -4-x < -7 2. solve the following inequality to find a range of values for x: -25 < -x < -10
72. ### algebra

Evaluate the exponential equation for 3 positive values of x, 3 negative values of x, and at x=0. Show all work. Use the resulting ordered pairs to plot the graph; state the equation to the line asymptotic to the graph (if any). y = (1/5)^x
73. ### Math

a) Find the values of x and y so that the ordered data below has a median of 31 and a mean of 31.25. 13, 17, 25, 27, 28, x, 32, 36, 37, 40, y, 47 b) The numbers below have been written in ascending order. Find the values of a, b, c and d if the mode is 15, the median is 17, ...
74. ### calculus

g(x)=(x^3)-(3x^2)+17 a)find and classify all critical points of g(x) using exact with x and y values. b)for what values of x is the function concave down; again exact x and y values.
75. ### Math

Let f(x)=cos(pi*x/3) g(x)=1^x+(−1)^x h(x)=f(x)⋅g(x) where x is a positive integer. Given that h(x) has a range of exactly 3 different values: a, b and c, what is the value of a^2+b^2+c^2?
76. ### Functions - math

The function f is such that f(x) = 2x + 3 for x ≥ 0. The function g is such that g(x)= ax^2 + b for x ≤ q, where a, b and q are constants. The function fg is such that fg(x)= 6x^2 − 21 for x ≤ q. i)Find the values of a and b ii) Find the greatest possible value of q...
77. ### math

What is the range on the number line for all values of x/2 if x < -4 ?
78. ### math

What is the range on the number line for all values of x if -2 < x < 2 ?
79. ### Calculus

For what values of x does the series 1 + 2^x + 3^x + 4^x + ... + n^x + ... converge? A. No values of x B. x >= -1 C. x > -1 D. x < -1 E. All values of x I think the answer is C, because n^(-1) = 1/n, which diverges.
80. ### maths

Given the identity x^4-2x^3+ax^2-2=x(x-1)(x+1)Q(x)+4x^2+bx+c , where Q(x)is a polynomial, (i)state the degree of Q(x) (ii)find the values of a,b and c ,and hence state the remainder when x^4-2x^3+ax^2-2 is divided by x^3-x .
81. ### Chemistry Labwork

The uncertainty in each measured value of K is about + 10%. Are all of your measured values of K within the range (+ 10%) of the average K value? My K values are 343, 342, 341, and 344. My average is 342. I used 3 significant digits. How do I answer this question? I know I am ...
82. ### Math Trigonometry

Let f(x)=cos(pi*x/3) g(x)=1^x+(−1)^x h(x)=f(x)⋅g(x) where x is a positive integer. Given that h(x) has a range of exactly 3 different values: a, b and c, what is the value of a^2+b^2+c^2?
83. ### Pre Cal.

State the doman and range of the relation y= Arc tan x Domain: All real numbers Range= -pi/2 < y < pi/2
84. ### math

If #(w,x,y,z)means you raise w,x,and y to the power of z and then take the sum of the resulting values ande # (8,10,11,z)=3,then for all positive values of z, then z=? please explain how to do that
85. ### Math

For what real values of 2x^2+ax+25 the square of a binomial? If you find more than one, then list the values separated by commas.
86. ### Algebra. Formalizing relations and functions

1.Identify the domain and range of the following relation. {(3,7),(3,8),(3,-2),(3,4),(3,1)} A.Domain:{3} Range:{-2,1,4,7,8} B.Domain:{-2,1,4,7,8} Range:{3} C.Domain:{all real numbers} Range:{all real numbers} D.Domain:O/ Range:O/
87. ### Maths A

For this question, use the copy of the Random Number table provided at the end of this AAT. (This table was copied from page 111 in the Textbook.) Select 48 values according to the following criteria. o The first thirty (30) numbers must lie in the range from 48 to 58 ...
88. ### Calculus

f(x)=x^n , where n is a positive integer greater or equal to 2. The graph of f(x) will have an inflection point when n is A. Even B. Odd C. Divisible by 3 D. For all values E. For no values
89. ### algerbra

can someone check my work for this question? the question is to graph the function of square root of x plus 2 with the plus 2 not being in the square root my x values were 0,1, 4, 9, and 16 my y values were 2, 3, 4, 5, and 6 the next part says to write the domain and range. ...
90. ### algerbra

can someone check my work for this question? the question is to graph the function of square root of x plus 2 with the plus 2 not being in the square root my x values were 0,1, 4, 9, and 16 my y values were 2, 3, 4, 5, and 6 the next part says to write the domain and range. ...
91. ### Algebra

For what real values of a is x^2 + ax + 25 the square of a binomial? If you find more than one, then list your values in increasing order, separated by commas.
92. ### Algebra

For what real values of a is x^2 + ax + 25 the square of a binomial? If you find more than one, then list your values in increasing order, separated by commas.
93. ### Algebra

For what real values of a is x^2 + ax + 25 the square of a binomial? If you find more than one, then list your values in increasing order, separated by commas.
94. ### Math

For what real values of c is x^2 + 16x + c the square of a binomial? If you find more than one, then list your values separated by commas. Need help...
95. ### math

Please help me to find the range of each set of numbers.7, 7, 5, 4, 1, 9, 8, 8, 8, 5, 2 The range of a set of data is the difference between the highest and lowest values in the set. This is true whether there is one or more scores at either extreme value. I hope this helps. ...
96. ### geomertry

Find the range of possible values for x 3x-5 <37 and 2x+3>27
97. ### linear math

Let u=(2,0,k,-1) v=(-4,0,-3,2) and w= (0,1,0,0). Each answer must be justified(there is no answer where k=nothing) a) find all values of k, (if any) for which u is orthogonal to v b) Find all values of k (if any) for which the set {u,v,w} is linearly independent. Find all ...
98. ### P-Chem

Protein denaturations are usually irreversible but may be reversible under a narrow range of conditions. At pH 2.0, at temperatures ranging from about 40 degrees celcius to 50 degrees celcius, there is an equilibrium between the active form P and the deactivated form D of the ...
99. ### Algebra 2

1. The roots of the quadratic equation z^2 + az + b = 0 are 2 - 3i and 2 + 3i. What is a+b? 2. Find all pairs of real numbers (x,y) such that x + y = 6 and x^2 + y^2 = 28. If you find more than one pair, then list your pairs in order by increasing x value, separated by commas...
100. ### Need help asap

I need help! Reasoning: Can a function have an infinite number of values in its domain and only a finite number of values in its range? If so, describe a real-world situation that could be modeled by such a function. Writing: What is the difference between a relation and a ...