1. Find the equation of the circle with the center C(7, -2) and radius square root 53. 2. Find the coefficient of the fifth term in the expansion of (x-y)15. 3. What is the fifth term in the expansion of (3a-b)6.
Solve: 6x + 2y - 4z = 15 -3x - 4y + 2z = -6 4x - 6y + 3z = 8 My book says this is an elimination problem and the book also says the answer is (2,-1/2,-1) I just cannot figure out all of the steps....help!
Factor completely 2X^2 + 21 = -17X
1. The circle which has its center at the center of the hyperbola 4x2 +16x - 9y2 + 18y = 29 and whose diameter is the line segment between the vertices, what is the equation. 2. The coefficient of x7y9 in the expansion of (x-2) is? 3. Let f(x) = 2x + 1 , g(x) = x2 - 1 , and h(x) = square root (x + 1). Find the expansion for
Provide an example of a polynomial expression when factoring is not necessary for solving the problem. Provide another example of when it is necessary.
1) Find Inverse, f(x) = 2x / (x+1) 2) and write as single logarithm: log4(x-3) + log4(x+3) -5log4(x^2-6)
Logs and laws of exponents Use the laws of exponents to write in terms of logarithm of x and y. see attached' Use Law of Exponents to write as a single logarithm.
Solving logarithmic equations 1 ------------ = 4 e^x - e^(-x) ln(x^2) = ln(9) 5^(3x+4) = 2^(1-5x)
For which integers c, 0<=c<=1001, does the congruence 154x=c(mod1001) have a solution? When there are solutions how many incongruent solutions are there?
1. In interval notation, the solution set of -(5x + 1) < 4x - 19 is? 2. A horizontal asymptote for f(x)= 2 + 1/x2 is? 3. The value of 17C3 is? 4. Solve for x: absolute value ( 7x - 1) <3
How do I prove the fundamental theorem of algebra by using Rouche's theorem?
When the digits of a two digit number are reversed, the new number is 9 more than the original number, and the sum of the digits of the original number is 11. What is the original number?
Is this expression multiplicative? Justify your answer. f(n)=1, n>1. Factor n into a product of primes,n=p1^k1* p2^k2... then set f(n)= (-1)^k1+k2+...+kr.
PROLOG Due 7/10 NOTE: For your homework, you are not allowed to use the builtin predicate definitions. If, for example, you want to use member/2, create you own version called mymember/2 (or something). Same for append, reverse, sort, and many others.You may use any builtin numeric operators, 'is', the '[' ']' brackets f
A table is given that contains many of the basic phrases that you come across when working on word problems. For each phrase, an example is given.
How many cubic yards must one have to excavate using the following guidelines: Driveway size 16 X 17 Paver thickness 2 3/8 Sand bedding 400 Lbs Base compacted 6"
Complete the algebra questions in attachment 1. Find the domain of the given function. 2. Reduce the given expression to lowest terms. 3. Find the solution set of the given equation. Match your result to the correct answer below. 4. Convert the given expression into an equivalent expression that has the indicated denominator
1. Find the center of the ellipse given by 64x2 + 4y2 + 128x - 80y +208 = 0 2. Find the radius of the circle defined by x22 + y2 - 6x -16y = 48 3. The distance between the foci of the ellipse defined by 9(x + 6)2 + 25(y - 15)2 = 225 4. What is the coefficient of x3 in the expansion of (2+ x)5
1. The coefficient of x6y4 in the expansion of (2x-y)10 is ? 2. An arithmetic sequence has a=15 and the common difference d=-3/2. Find the value of 10 over Sigma k=5 ak = the kth term of the sequence. 3. Find the 3rd term in the expansion of (x+6)10.
Graphing feasible regions of inequalities. In this type of problem we have to plot some graph in which we have to show feasible regions of inequalities. for example Graph the feasible region of each inequality. -2 < x < 2 y > 1 x - y > 0
Having difficulty with graphing feasible regions of inequalities
Please see the attached file for the fully formatted problems. Let f(x) = sqrt of x, and show that in this case (f(x+h)-f(x))(f(x+h)+f(x))=h. Use this result to give a simplified expression for f(x+h)-f(x)/h. When f(x) = sqrt x what is lim h-->0 f(x+h)-f(x)/h ?
Please see the attached file for the fully formatted problems. 1: Use the Euclidean Algorithm to find the Highest Common Factor of 1176 and 1960. 2: Use the rules of natural deduction to prove ((A --> (B -->C)) -->((A B)--> C)). [12 marks] 3: Use the rules of natural deduction to prove (A (B U C)) ((A B) C) [14 ma
I need to find a formula that, when multiplied, would generate a 400- digit number
Please see the attached file for the fully formatted problem(s). 13. Solve for x algebraically. 14. Find the vertex, focus, and directrix of the parabola given by the equation. 15. Solve the system of equations. 16. Maximize C = 6x +7y with the constraints:
Use the Rational Zero Theorem to list possible rational zeros for the polynomial: P(x) =x^3+3 x^2-6x-8 Use Descartes' Rule of Signs to determine both the number of possible positive and the number of possible negative real zeros of the polynomial. P(x) = 2 x^3 + x^2 - 25 x + 12 Use the given zero to find the remaining
Please see the attached file for the fully formatted problem(s). Practice Problems Directions: Show work to support your final result. Examples requiring mathematical work to support the result must be included, if final answer is correct but supporting work is missing. Examples that require a graph DO NOT need the gr
Mrs Fields scored a 1360 on the S.A.T.s. In the math section, she scored 260 more than the verbal section. What were her two scores for each section? Write an equation and solve. math:.... verbal:.....
Solve any 6 equations/inequalities by the indicated method. If no method is indicated then you can solve either algebraically or graphically. Solution by graphing requires a sketch of the graph or a written description of the graph and where the solution lies. Solve any 6 equations/inequalities by the indicated method. If
I have a formula, known as the Bass Curve Formula, that I would like rearranged. The formula generates an S curve that initially grows slowly, then accelerates before slowing down and plateauing. (See example) I would like the formula to be rearranged to find a variable (p). Please find the attached file for a detailed e