# Pre- Calculus

21,911 results, page 6
1. ## pre calculus

Solve the exponential equation Express you solutions in exact form only Please show your work e^2x - 9e^x - 20 = 2
2. ## 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???
3. ## 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.
4. ## Pre-Calculus

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

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

Find the area between each curve and the x-axis for the given interval. y=6x^2+5 from x=0 to x=5 I'm just starting to learn about this and am very confused. Can someone show me how to do this. Thanks. I need help.
7. ## 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?
8. ## Pre-Calculus/Trigonometry

Solve the following system of equations algebraically. Verify the solution by using matrices. 8x-2y=5 -12x+3y=7
9. ## 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.
10. ## 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
11. ## Pre-calculus

Use a graphing utility to approximate any relative minimum or maximum values of the function g(x)=x sqrt4-x Not getting this one, either. Thanks.
12. ## 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)= ?
13. ## 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
14. ## 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.
15. ## 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
16. ## Pre-Calculus

explain how to do these with please. I was out a couple of days so give clear instructions. sin(π/2-ϴ)secϴ cot(π/2-x)cosϴ
17. ## Pre-calculus

write the complex number -5 in polar form. I don't get how to do this because arctan of b/a would be 5/0 which is a fraction with no solution. Also, is a zero? Sorry if I'm being confusing! Thank you!
18. ## HELP WITH MATH

Sorry the caps lock was on. Can you help me with this pre calculus question. I'm not quite sure how to do this. Here are the instructions. Find the area between each curve and the x-axis for the given interval: y=2x^2+x+1 from x=3 to x=6
19. ## Pre-Calculus

Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x),and express the quotient P(x)/D(x) in the form P(x)D(x) = Q(x)+ R(x)D(x) . P(x) = 6x^4 − 3x^3 + 29x^2, D(x) = 3x^2 + 13
20. ## pre-calculus

Find all the vertical and horizontal asymptotes for (x^2+4x+3)/(x^2-1) All I can figure out is that if the degree of the denominator is bigger than the numerator, then y=0. But I don't know if that's right! Please help. Thank you!
21. ## Pre Calculus

Can someone help me with this problem? Determine the number of positive integers less than 10,000 that can be formed from the digits 1, 2, 3, and 4 if repetitions are allowed. Thank you!
22. ## 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)= ???
23. ## Pre Calculus

Using Descartes' Rule of Signs how can you determine the number of positive and negative zeros (roots) a polynomial may have?
24. ## pre-calculus

Rewrite each equation into slope intercept or special case form. 1) 4x+3=8x 2) 9y-(7+3y)=0 I have no idea how to do these two. Can someone please help me? 3)x/2+y/7=1 My answer is y=-7x+14. Is this correct?
25. ## Pre-Calculus

Can you please give and example of a hyperbola and ellipse with the same vertices and center that I can graph? Then explain the similarities and differences between the graphs.
26. ## 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.
27. ## Pre calculus

How do you work this problem? Find the exact value of sin 2u, cos 2u, and tan 2u given that cot u=3 and 180<u<270
28. ## Pre calculus

explain how to do these with please. I was out a couple of days so give clear instructions. 1. sin(π/2-ϴ)secϴ 2. cot(π/2-ϴ)cosϴ
29. ## Pre Calculus

If \$22,550 is invested at 2.95% over 10 years, describe the amount of the investment if interest is compounded a. Every 2 months equation: -A(t)=Ao(1+i/n)n*t
30. ## pre calculus

Write the trigonometric expression in terms of sine and cosine, and then simplify. cot(x)/csc(x)-sin(x)
31. ## Math(pre-Calculus)

Find the standard form of the equation of the circle. 3(x+2)^2 + 3(y-1)^2=18 so i used this formula r^2 = (x+h^)2 + 3(y+k)^2 i just plug in the number but what do i do with the 3's outside of the parenthesis or i have to do something else...
32. ## Pre-calculus

As you drive down a mountain, you see a sign that says there is a 6 degree grade over the next 5 miles. What is the change in elevation over that 5 mile stretch?
33. ## Pre-Calculus

Umm, how do I find this? with work? Use a calculator to evaluate the function at the indicated value of x. Round your answer to four decimal places. f(x) = 3 ln x x = 0.32
34. ## pre calculus

determine the order of magnitude for the following: 1. a \$1 bill and a dime 2. two products scored a PH level of 6.1 and 4.o I can't figure out #1… but I did get #2 to be 10^2.1 Please help with #1 and check to see I did #2 right?
35. ## Pre-Calculus (Trigonometry)

An angle in standard position such that sinÈ = 5/13. Determine the possible values of È, to the nearest degree. Answer: I got 23°. (How do I get the second one?)
36. ## Pre-Calculus

Determine a quadratic function with this set of characteristics. x-intercepts of 2 and 7 and maximum value of 25 ( How would I find the x-coordinate for the vertex?) (Thank you!)
37. ## Pre Calculus

Exponential Growth and Decay Find the half-life of a radioactive substance that decays by 5% in 9 years.
38. ## pre-calculus

Determine the center and the radius of the following circle: x^2+y^2+8x-2y=8 so I figured I'd use completing the square after putting it in standard form: (x^2+8x)+(y^2-2y)=8 I'm not sure where to go from here.
39. ## Pre Calculus

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

Evaluate the expression without using a calculator. Unless stated otherwise, all letters represent positive numbers. e^(ln√x+5)
41. ## pre-calculus

Given that the radioactive decay equation is q = 1250 e-0.05t, if t is in months, the amount of milligram present after 4½ year is?
42. ## 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
43. ## Pre-Calculus

Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists. Show your work. 4x - y + 3z = 12 x + 4y + 6z = -32 5x + 3y + 9z = 20 Please help me..
44. ## 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.
45. ## Pre-Calculus

Which sets of ordered pairs represent functions from A to B? Explain. A = {a, b, c} and B = {0, 1, 2, 3} A. {(a, 1), (c, 2), (c, 3), (b, 3)} B. {(a, 1), (b, 2), (c, 3)} C. {(1, a), (0, a), (2, c), (3, b)} D. {(c, 0), (b, 0), (a, 3)} I narrowed it down to
46. ## Pre Calculus

(a) Determine the number of terms, n, if 3+3^2+3^3+..........+3^n= 9840. (b) Three numbers, a, b and c form a geometric series so that a+b+c = 35 and abc = 1000. What are the values of a, b and c ?
47. ## 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
48. ## Pre-Calculus

x^4-16x^3+90x^2-111x+173 When I put this equation into the graphing calculator, I get a parabola. I'm not sure how to find the zeros. Can you help?
49. ## Pre calculus

find 2 exponential functions with asymptote of y=80 , with points (0,176) (1,169) (3,156) (5,146) (20,101) (30,90) (60,81).one should have the base of "e"
50. ## Pre-Calculus

I need help solving this logarithmic equation: ln x + ln (x+3) = 1. I know ln x + ln (x+3)=ln [x(x+3)] and that is ln x^2 + 3x when broken down. Then you have to get rid of ln by taking the natural base e of both sides so in the end you have x^2+3x =
51. ## Pre-calculus

Find the center radius and equation of a circle in standard form given the following conditions: 1. Tangent to 3x+2y=0 at the point (0,0) and passing through (1,-1) and (6,0)
52. ## Pre-Calculus

Find the maximum and minimum values of the function for the polygonal convex set determined by the given system of inequalities. x + y > 2 8x – 2y < 16 4y < 6x + 8 f(x, y) = 4x + 7y
53. ## Pre Calculus

If you are riding on a Ferris wheel that is 60 feet tall and it takes 5 minutes to make a one revolution, what is your linear velocity?
54. ## pre - CALCULUS

Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists. Show your work. 4x-y+3z = 12 x+4y+6z =-32 5x+3y+9z = 20
55. ## 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)
56. ## pre calculus

Having a bit of a problem with this for the given functions f, g and h. find f*g*h and state the exact domain of f*g*h Please show all your work f(x) = inx g(x) = x -169 h(x) = 9x^2
57. ## College Pre-calculus

The qustion asks find all solutiions in the interval [0,2pie), correct to five decomal places. 5 cos 2x= 2
58. ## pre - CALCULUS

Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists. Show your work. 4x-y+3z = 12 x+4y+6z =-32 5x+3y+9z = 20
59. ## pre-calculus

Rewrite the expression so that it involves the sum or difference of only constants and sines and cosine to the 1st power (sinx)^4
60. ## pre - CALCULUS

Use Gaussian elimination to find the complete solution to the system of equations, or state that none exists. Show your work. 4x-y+3z = 12 x+4y+6z =-32 5x+3y+9z = 20
61. ## 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
62. ## pre-calculus

Rewrite the expression so that it involves the sum or difference of only constants and sines and cosine to the 1st power (cos 5x)^2
63. ## Pre-Calculus

Describe the function resulting from reflecting f(x)=x^3+2x^2-x+5 about the y-axis and then shifting to the left by 4. Is this the same as performing the operations in the reverse order
64. ## Pre Calculus

Why can we use either common or natural logarithms to re-express data that fit a power regression model? Couldn't really figure out what the relationship was.
65. ## Pre- calculus

Find A, given that a = 18.2, B = 62, and C = 48. Round answers to the nearest whole degree. Do not use a decimal point or extra spaces in the answer or it will be marked incorrect.
66. ## Pre-Calculus

I have to use the substitution method to solve the system of equations. 4x-y=9 and 2x+3y=12 I worked this problem myself and could not find a possible solution. So I put that it is inconsistent. Is that correct? If not could you please help me?
67. ## Pre-Calculus

Write the standard form of the equation of the circle that passes through the points at (4,5), (-2,3), (-4,-3). I have gotten to the point of the system of equations but do not know know how to proceed. I have: 4D + 5E + F + 41 =0 -2D + 3E + F + 13 =0 -4D
68. ## pre calculus

A sum of \$5000 is be invested in a bank. if the annual interest is 10% and compounded monthly, how long will it take for the original investment to double.
69. ## Pre - CALCULUS

Find the x-intercepts (if any) for the graph of the quadratic function. 6x2 +12x+5=0 Give your answers in exact form. Show your work.
70. ## Pre-Calculus

A surveyor measures the distance between buildings X and Y as 200 feet. The angle of elevation from the base of X to the top of Y is 25 degrees. What is the height of building Y?
71. ## Pre-Calculus

Can someone please help me with this question? Show that x=a cos t+h, y=b sin t+k; 0<t<2pi (greater than and EQUAL to) are parametric equations of an ellipse with center (h,k) and axes of lengths 2a and 2b. Thank you so much!

Use a sum or difference identity to find the exact value of sin 255 degrees Answer: sqrt6-sqrt2/4 Thanks
73. ## Pre-Calculus

Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x),and express the quotient P(x)/D(x) in the form P(x)D(x) = Q(x)+ R(x)D(x) . P(x) = 6x4 − 3x3 + 29x2, D(x) = 3x2 + 13
74. ## Pre Calculus 12

Laws of logarithms evualuat using change of base rule log(√8)16 ^the square root 8 is supposed to be subscript. the answer i got was 8/3, not sure if that is right
75. ## Pre Calculus

Applications of trigonometric functions Solve the missing parts of the triangle satisfying a=125 b=150 alpha=55 degrees There are two solutions
76. ## calculus (pre)

a riding lawn mower has wheels with a diameter of 1.4 ft and is driving at 4 mph. find the angular velocity of the tires in radians per minute
77. ## Pre-Calculus 11

I don't know how to solve this... Question: Suppose 5/7ã3/2 is written in simplest form as aãb, where a is a real number and b is an integer. What is the value of b? (The square root is over the whole fraction of 3/2) A 2 B 3 C 6 D 14 I think it is
78. ## Pre-Calculus 11

I don't know how to solve this... Question: Suppose 5/7ã3/2 is written in simplest form as aãb, where a is a real number and b is an integer. What is the value of b? (The square root is over the whole fraction of 3/2) A 2 B 3 C 6 D 14 I think it is
79. ## Math (pre-calculus)

Hi! I have a question! I forgot how to do these two problems, and I need some help in solving them! Thanks so much! 1.) Find the first 5 terms of the sequence given by a1=2, an=3an-1 -1. (It's: a sub 1 =2, a sub n= 3a sub n-1 -1) Does that make sense? If
80. ## Pre-Calculus

I do not know how to work this problem: Find the area of the region between the graph of y=x^3 and the x-axis from x=1 to x=4. I am also having trouble with: Write -1-i in exponential form. Any help would be greatly appreciated.
81. ## Pre-Calculus

Help------I'm confused. I am trying to convert the linear equation 4x+3y-10=0 to polar form. Thus far, I have 2= r cos(theta -?????). I understand that I must get the arctan of 3/4 but I get the answer of 36.9. Is this correct and if not--what am I doing
82. ## Pre-Calculus

Find the equation of the ellipse whose semi-major axis has length 6 and whose foci are at (3,-2+/-sqrt11). I have the focal constant = 2a which means that a=3 but don't know how to proceed. Thanks.
83. ## pre calculus

You set up a business and make an initial investment of \$10,000. The unit cost of the product is \$2.85 and the selling price is \$4.95. How many units must you sell to break even?
84. ## Pre Calculus

So I only have 3 homework questions left and I can't seem to figure out how to solve. I've tried solving them, but I keep getting them wrong. Any help? Factor the polynomials: a) 3x^2 +19x - 40 b) x^4 - 25x^2 Simplify the expression completely: (1/(x-h)^3
85. ## Pre Calculus

Find the measure of the central angle, in radians, given the area of the sector as 22.6 cm2 and a radius equal to 3.7 cm. Round your answer to the nearest tenth.
86. ## Pre-Calculus

Find the vertical asymptotes, if any, of the graph of the rational function. Show your work. f(x) = (x-4)/(x(x-4)) (x-4)/x(x-4) the common factors cancel out and all is left is f(x)= 1/x... how do I solve this problem?
87. ## Pre-Calculus

Find the solutions for sec^2x+secx=2 that fit into the interval [0, 2pi] I figured out that pi/3 (after factoring and switching things around) was a solution, but then I got stuck on cos x = 1/3.
88. ## Calculus

I'm trying to finish up my pre-cal homework and I am stuck on 2 problems... ***determine the intervals over which the function is increasing, decreasing, or constant*** 32. f(x)=x^2-4x 33. f(x)=√x^2-1 (that's square root of x^2-1) thank you so much
89. ## pre-calculus

Suppose the function p= -1/8 x + 100 (0 =< x =<12) relates the selling price p of an item to the quantity x that is sold. Assume that p is in dollars. What is the maximum revenue possible in this situation?
90. ## Pre Calculus 12

Laws of Logarithms Evaluate: without using a calculator, except for the first one. The 5.6 is supposed to be subscript, but i don't know how to make it small. 4log(5.6)84 log84/log5.6 Do I multiply this by four or something? both of the logs?
91. ## Pre-Calculus

2. Write an equation in slope-intercept form of a line with the given parametric equations. x = 9t + 2 y = 2t – 2 answer choices: a)y=(2/9)x - (22/9) b)y=(22/9)x + (2/9) c) y=(9/2)x - (9/22) d) y=(2/5)x + (2/3) If you could show some work, because I'm
92. ## pre-calculus

If sin a = 3/5 when Pi/2<a<Pi and cos B = -12/13 when Pi<B<3Pi/2, then what is the value of sin(a+b)? I don't get the question... Help appreciated.
93. ## pre calculus algebra

one number is three less than six times second number. their sum is 32. find the two numbers
94. ## pre calculus

A parallelogram has a 70 degree angle and sides 6 cm and 10 cm long. How long are its diagonals?
95. ## Pre - calculus

Can someone please explain how to simplify this proiblem: cotx/sec^2 + cotx/csc^2
96. ## Pre-Calculus

Find the rectangular coordinates of the point with the given polar coordinates. (3, 150°)
97. ## Pre-Calculus

I want to know how we know if a function is continuas or discontinuos and what are the types and diff if discontinuos functions?
98. ## Pre-Calculus

Find the polar coordinates of each point with the given rectangular coordinates. Use degrees. (-4,-3)
99. ## pre calculus

Find all of the solutions of the equation x^4-625i=0 and represent the solutions graphically.
100. ## Pre-Calculus

Assume sin A = sin B. If A = π/8, find B. Please show work so I'll know what to do.