# Pre- Calculus

21,824 results, page 5

1. ### pre calculus

evaluate if possible the function at the given values(s) of the independent variable. Simplify the results. f(x)=7x-4 a) f(0) b) f(-3) c) f(b) d) f(x-1)
2. ### pre calculus

The conic section whose equation is x^2 - 3y^2 - 8x + 12y + 16 = 0, is in Position is I. Is this statement true or false

5. ### Pre Calculus

Given Triange ABC with an area of 100.2 a = 32.5 c = 29.2 Find angle B, expressed in degrees.
6. ### pre-calculus

please help me with thisone thanks solve the inequality algebraically. Express the solution in interval notation. (x-8)^2/x^2-36 > 0
7. ### Pre-calculus

find the trig functions of angle x if the terminal side of x passes through the point (-12, 5).
8. ### pre calculus

Use properties of logarithms to find the exact value of the expression log_7 (343 * 7^15)
9. ### Pre calculus

1. convert polar equation to rectangular coordinates: r^2=4sin2theta 2. find the coefficient of x^5 in the expansion (x+2)(x+1)^8
10. ### Pre-calculus

Determine the values of the trigonometric functions of t if P(t) lies in the second quadrant and on the line y = −2x.
11. ### pre calculus II

describe the domain, range,asymptotes and if the graph increase or decrease, and is this is a funtion from this equation y=5-3^x
12. ### pre calculus

Algebraically solve the system of equations using any method you wish 3x-10y+z=5 -4x+9y-z=-6 -13y+z=2

Find the inner product of a and b if a= (3, 0, –1) and b= (4, –2, 5), and state whether the vectors are perpendicular.
14. ### pre-calculus

find the common difference in an arithmetic sequence in which a(sub 15)-a(sub7)=-1. what should i start with ??
15. ### Pre-Calculus

Solve the equation 4sin x = e^x on the interval (0, 1). Correctly rounded to two decimal places, x=
16. ### pre calculus

Simplify and write the trigonometric expression in terms of sine and cosine: ((2+tan^2 x)/(sec^2 x))-1 = (f(x))^2 f(x)= ??
17. ### pre calculus

what is 36.1 and 50.8 rounded to three decimal places? I was never really good at this stuff....please help!
18. ### Pre Calculus

Use a calculator to evaluate csc 3ð/14 A. 1.604 B. 1.279 C. 47.686 D. 42.314 E. .739
19. ### Pre-calculus

Given f(x)=6x^4-7x^3-23x^2+14x+3, approximate each real zero as a decimal to the nearest tenth.

21. ### Pre-Calculus

Write an equation in slope-intercept form of the line with the given parametric equations. x=t+6 y=2t-4
22. ### Pre-Calculus/Trigonmetry

Write the equation of the line that is parallel to the x-axis and goes through the point (1,4).
23. ### Pre-Calculus

Factor the polynomial completely, and find all its zeros. State the multiplicity of each zero P(x)= x^3-x^2+x
24. ### Pre-Calculus

Find all solutions of the equation and express them in the form a + bi. 36x^2 − 12x + 2 = 0
25. ### Pre-Calculus

Help please, am i correct? The border line of the linear inequality 4x-2y < 1 is solid. True False <--
26. ### Pre-Calculus

Help please Find the equation, in standard form, of the line passing through the points (2,-3) and (4,2). 5x-2y=16 y=5/2x+8 5x+2y=16 2x-3y=9
27. ### Pre-Calculus/Trig...

Help Please For the function defined by: f(x)= (x^2,x≤1) (2x+1,x>1) Define f(0). and also how would i graph f(x)?
28. ### PRE - CALCULUS

A statement Sn about the positive integers is given. Write statements Sk and Sk+1, simplifying Sk+1 completely. Sn: 1 + 4 + 7 + . . . + (3n - 2) = n(3n - 1)/2
29. ### Pre-calculus ( Absolute value)

Why does |7 + 3x| = x -1 have no solution? I could plug in, for example 5, and the answer would be positive. Thank you =)
30. ### Pre-Calculus

how to make a xy table for the following greatest integer equation when using -1,-2,0,1,2 to plug into x f(x)=2[x], g(x)=[2x], f(x)=-[[x]], and g(x)=[[-x]]
31. ### Pre calculus

1. Write in terms of cos and sin function. cotx*secx Show work.
32. ### Pre Calculus

Write the equation 5^2= 25 in logarithmic form. a. log255=2 b. log25=25 c. log52=25 d. log225=5 e. log525=2
33. ### pre calculus

Use the half-angle formula to simplify the given expression. squareroot 1+cos12x/2
34. ### Pre-calculus

Plss... help me.. what is the equation of parabola with vertex on the line y=x, axis parallel to Ox, and passing through (6,-2) and (3,4)? thanks!
35. ### pre-calculus

create a p(x) with the following conditions: A) Vertical asymptotes at x=5 and x=-2 B) A double root x=-3 C) A horizontal asymptote at y=3
36. ### pre calculus

Use the information to solve the triangle. If two solutions exist find both. 1.A=36°, B=98°, c=16 2.a=4, b=8, c=10 3.A=35°, b=8, c=12
37. ### Pre Calculus/Trig

find the area of a circle inscribed in triangle ABC where a=9, b=13, and the measure of angle C=38 degrees

Write the equation of the circle that passes through the point (3,4) and has its center at (1,2). Answer: (x-1)^2 +(y-2)^2 = 8 Thanks for the help.
39. ### Pre-calculus

Which of the following is NOT a root of z^2 = 1-sqrt3i to the nearest hundreth. a) -0.22+1.24i b) -0.97-0.81i c) 1.02-0.65i d) 1.18-0.43i Thanks for any help you can give me.
40. ### Pre-Calculus IB

If R is the remainder when each of the numbers 1059, 1417, and 2312 is divided by D, where D is an integer greater than 1, compute the value of D - R.
41. ### Pre-Calculus

Identify the following features of the graph of g(x) = (3/2)^x+2 A) Asymptotes B) Intercepts C) Increasing or decreasing I really do not know how to find these
42. ### pre-calculus

How do i know if a conic section is a circle, ellipse, hyperbola, or parabola? based on it's equation such as 4x^2 - y^2 + 24x + 4y + 28 = 0
43. ### pre calculus

Write the trigonometric expression in terms of sine and cosine, and then simplify. cot(x)/csc(x)-sin(x)
44. ### Pre-calculus

The problem is Find the difference quotient and simplify your answer F(x)=5x - x^2, F(5+h) - F(5) over h ^2 this means power of two
45. ### pre calculus

Ok not sure if it's just me with a block solve the following equation in the real number system. x^4 +3x^3 + 3x^2 + 21x - 28 = 0
46. ### Pre Calculus

Exponential Growth and Decay Find the half-life of a radioactive substance that decays by 5% in 9 years.
47. ### Pre Calculus

Exponential and log functions What initial investment at 8.5% compounded continuously for 7 years will accumulate to 50,000?
48. ### pre calculus

Solve the following inequality and write using interval notation x^2 - 22/ x -4 >_ -7/2 this sign > has the slash underneath Help me!
49. ### pre-calculus

use a sum or difference formula to find the exact of the trigonometric function cos(-13pi/12)
50. ### Pre-calculus

Use the remainder theorem to find which of the following is not a factor of x3 + 12x2 + 47x + 60 the answer is x-5 but idk why
51. ### Pre-Calculus

Simplifying Complex Fractions [(x+3)/12] / [(4x-5)/15] [(x+3)/12] x [15/(4x-5)] (x+3)5/4(3x-5) (5x+15/12x-20)<-- final answer Did I do this right. If not could you please explain how to do it correctly
52. ### pre-calculus

proving that the statements are true for all natural numbers 1+2+3+....+n=n(n+1)/2 i don't understand when trying to prove that P(k+1) = 1+2+3+...+k+k(k+1)= 1/2 how do you do this step???
53. ### Pre-Calculus

Find the inverse of the following quadratic equation. Hint: Complete the square first. y= x²+14x+50
54. ### pre-calculus

partial fraction; use the rational roots theorem to factor denominator. x^3 + 2 ----------- x^4 +8x^2 +16 i got to that and im stuck Ax+B + Cx+D ---- ----- x^2 +4 x^2 + 4
55. ### pre calculus

Simplify and write the trigonometric expression in terms of sine and cosine: sin x + (cot x cos x) = 1/(f(x) f(x)= ???

Find all solutions of the equation tan^5 x - 9tan x =0. The answer is Ak\pi where k is any integer, the constant A=???
57. ### Pre-Calculus 11

In Triangle DEF, DE = 11cm and EF = 9 cm. For which measure of angle D is it possible to draw two scalene triangles.
58. ### Pre-Calculus

Find a quadratic function f such that f(1)=3, f(2)=5/2, f(-1)=1 I came out with 3 a+b+c=3, 4a+2b+c=5/2, a-b+c=1. And I know that I should do synthetic division but I am stuck.
59. ### pre-calculus

Find the real and imaginary zeros for the following polynomial function. T(b)= 147b^3-35b^2-19b+3
60. ### Pre-Calculus

What makes a mathematical induction true? I know how to solve both steps in the proof, but how do you reach this conclusion?
61. ### Pre-Calculus

Find a polynomial with integer coefficients that satisfies the given conditions. P has degree 2 and zeros 2 + i and 2 − i.
62. ### Pre-Calculus/Trigonometry

Am I right? Which of the following is the equation of a line that passes through the point (3,2) and is parallel to the y-axis? y = 3 x = 2 y = 2 x = 3 <---
63. ### Pre-calculus/Trignometry

Which of the following is a correct equation for the line passing through the point (-1,4) and having slope m = -3? A. y-4=-3(x+1) B. y=-3x+1 C. 3x+y=1 D. y=-1/4x-3
64. ### Pre-Calculus/Trigonometry

Solve the following system of equations algebraically. Verify your solution by using matrices. 3x-y=0 5x+2y=22
65. ### Pre-Calculus

Use an Addition or Subtraction Formula to find the exact value of the expression: tan7π/12
66. ### college pre-calculus

what is the equation of lowest degree with real coefficients if two of its roots are -1 and 1+i? A. x^3+x^2+2=0 B. x^-x^2-2=0 C. x^3-x+2=0 D. x^3-x^2+2=0 e. none of the above i don't get it is it (x+1) (1+i)
67. ### pre-calculus

Use the rational root theorem with polynomial division if needed to find all the zeroes of:     P(x)=2x^4-3x^3+3x^2+5x-3.
68. ### pre - CALCULUS

Find the indicated sum. Show your work. 4 k=1 (-1)^k(k+11) ￼Inbetween the 4 and k , Theres a backwards 3 sign
69. ### pre - CALCULUS

Solve the system of equations using matrices. Use Gaussian elimination with back- substitution. x+y+z = -5 x-y+3z = -1 4x+y+z = -2
70. ### Pre-Calculus

Can the following be reduced any further? 14x^2/56y^3 I did not reduce because there were different variables in the numerator and denominator. Thanks
71. ### pre calculus

Given that sinx= 3/5 and that x terminates in Quadrant 2 , determine the values for cosx and tanx Find Cos x/2
72. ### Pre-Calculus

Write the standard form of the equation of the line that passes through the point (-4, -2) and is perpendicular to the graph of 3x - 2y + 9 = 0.
73. ### Pre Calculus

Find the exact value ofcos (u+v) given that sin u= 7/25 and cos v=−12/13. (Both u and v are in Quadrant II.)
74. ### Pre-Calculus

Why do we need to use the sum/difference formulas to find exact values? Please explain.
75. ### Calculus

An important problem in mathematics is that of root finding: that is, given a function f (x), finding any roots of f in an interval. Exact methods exist for many functions: • In the case of a linear function f (x) = ax + b, this is easy. – If a ≠ 0, then x = −b...
76. ### Pre- Calculus

In this problem we are supposed to find all real solutions. It is x(1-x)=6 and I know that the first step you use distributive and get x-x^2=6 but where do you go from here.

Determine the value of w so that the line whose equation is 5x-2y=-w passes through the point at (-1,3). Answer: w=11
78. ### pre Calculus

how do you find additional points on a line with a slope of 1/2 and a given point of (7,-2)? im sorry but i still cant get an answer for this question.

Can someone help me solve this problem: cos^2x + 5cosx - 2= 0 I am having some trouble finding x
80. ### pre-calculus

the function has a real zero in the given interval. approximate this solution correct to two decimal places: f(x)=x^4-x^3-7x^2+5x+10; (2,3)
81. ### pre calculus

A velocity of 30 mph is resolved into two components, each of which makes an angle of 45 degrees with it. Find their magnitude.
82. ### Pre-Calculus

It may look lame but I can't work out how to solve (-9) sqrt(4-x^2) = 4x + 5sqrt2. I need some guidance, please.
83. ### pre calculus

Solve the exponential equation Express you solutions in exact form only Please show your work e^2x - 9e^x - 20 = 2
84. ### pre calculus

solve the following equation in the complex number system Please show all your work. 5x^5 + 32x^4 - 5x - 32 = 0
85. ### Pre-Calculus

Find the maximum value of the function for the polygonal convex set determinded by the given system of inequalities. 8x + 2y > 36 –3x + 6y < 27 –7x + 5y > –18 f(x, y) = 9x + 5y
86. ### pre-calculus

solve the the following inequality. write your solution in interval notation. x^3-49x<0 _ (I don't know how to make the sign on my computer)
87. ### Pre-Calculus

Find the inverse of the following quadratic equation. Hint: Complete the square first. y= 2x²+16x-5
88. ### pre calculus

Express statement as an equation. Use the given information to find the constant proportionality z varies inversely as t. If t  3, then z  5.
89. ### Pre-Calculus/Trigonometry

Help please If, f(x)= 3/x+2 -√x-3, complete the following statement. Round your answer to the nearest hundredths place. F(7)= ?
90. ### Pre-Calculus

Find all the real zeros of the polynomial. Use the quadratic formula if necessary. 4x^3 − 10x^2 + 9
91. ### Pre-Calculus/Trigonometry

Solve the following system of equations algebraically. Verify the solution by using matrices. 8x-2y=5 -12x+3y=7
92. ### pre- calculus

In how many ways can a family of six be seated at a round table if the mother and father must sit together?
93. ### pre - CALCULUS

Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists. x + y + z = 9 2x - 3y + 4z = 7 x - 4y + 3z = -2 A. {(-7z/5+34/5 ,2z/5 +11/5 , z)} b. {(- 7z/5+34/5 , 2z/5- 11/5 , z)} c . {( z/5+ 34/5 , 2z/5+11/5 , z)} C?
94. ### pre-calculus 11

The infinite series 1+3x +9x^2 +27x^3+.. has a sum of 4.The value of x is? so if 1/1-r I substitute 1/1-3x =4 so x=1/4 if someone could confirm that my answer is correct? thanks so much
95. ### Pre calculus

Use the given conditions to write an equation for the line in point-slope form. Passing through (-5, -7) and (-8, -6)
96. ### pre calculus

Use Gaussian elimination to write the system of equations given below in row-echelon form 2x+4y+z=-4 2x-4y+6z=13 4x-2y+z=6
97. ### pre calculus

Use Gaussian elimination to write the system of equations given below in row-echelon form. 2x+4y+z=-4 2x-4y+6z=13 4x-2y+z=6
98. ### Pre-Calculus

sketch f(x) such that f(x) is increasing on (-inf,-2) and f is decreasing on (-2,0), f(x) has point discontinuity at x=-2, f(x) has a horizontal asymptote of y=4, f(x) is an odd function.
99. ### Pre-Calculus Help?

What conic section is drawn by the parametric equations x=csc t and y cot? A. Parabola B. Circle C. Ellipse D. Hyperbola
100. ### Polynomials

Determine if the expression 4m^5-6m^8 is a polynomial in one variable. If so, state the degree. I really don't understand how to do this, and I can find it in my pre-calculus book.