Homework Help for Algebra

2^x + 1 = 5^1 - 2x

3(log_7 x - log_7 2) = 2 log_7 4

Sussex County Community College Exa Intermediate Algebra Final Rev. Fall 2014 Name A formula sheet will not be provided with this exam. solve the absolute value 1) Ix 6l 7-12 A) x 1.11 D) x 11 B) no solution C) x 11, -1 algebraic equation and use it to solve the problem. write an 20 After a 1 reduction, a boat sold tors was the boats price before the A) (Round to the nearest What D) 33053.70 cent, if necessary) C) 127.000 326,543.70 180,692.31 objectives (25) solve More-Involved word Problems by using an Equati A chemist needs of a salt solution. All she has available is a salt solution and a 3) 70% salt solution. How much of each of the two solutions should she mix to obtain her desired solution? A) 2 liters of the 20% solution: 2 liters of the 70% solution B) 1.6 liters of the 20% solution; 2.4 liters of the 70% solution C) 1.2 liters of the 20% solution; 2.8 liters ofthe 70% solution D) 0.8 liters of the 20% solution; 3.2 liters of the 70% solution objective: (2.5) Solve More-Involved Word Problems by Using an Equation Solve for x and graph the results. 4) .6x k .30 and x 6 7 D) -1 0 1 2 3 4 no solution 27) solve compound Inequalities and Graph Their solutions Object

Determine the matrix is in form. [1 0 7 0 0 1 0 -1 0 0 1 0 0 0 0 1|5 -4 6 -8] Solve the system using Gaussian elimination or Gauss-Jordan elimination. 5x - 6y - 7z = 15 4x + 5y + 3z = 44 -8x - 2y - 4z = -92 A) {(-2, 9, 6)} B) (-9, 2, 6) C) ((2, -9, -6)} D) {9, -2, 6)} Determine the solution set for the system represented by the augmented matrix. [1 0 -2 0 1 4 0 0 0|4 1 1] A) {(-2, 4, 0)} B) {} C) {(4, 1, 0)} D) {(6, -3, 1)} The nth term of a sequence is given. Find the indicated term. A_n= 2^n + 3; a_4 A) 24 B) 48 C) 19 D) 11 a_n = 2^n/(n + 1)!;a_6 A)64/7 B) 4/315 C) 16/3 D) 1/420 Find the indicated term of the arithmetic sequence based on the given information. A_1 = 76 and a_9 = 44; Find a_40. A)-72 B)-76 C) -84 D)-80 A lecture ball has 14 rows of seats. The first row has 10 seats, and each row after that has 2 more seats than the previous row. How many seats are in the last row? How many seats are in the lecture hall? A) last row: 38; total seats: 168 B) last row: 38; total seats: 336 C) last row: 36, total seats: 168 D) last row: 36; total seats: 322

e^x^2 = e^3x middot 1/e^2

Final answer should contain only positive exponents. (x^-1 y^1/2 z^2/3)^-6

write the augmented matrix for the given system. 3y -12 A) -1 3 0 12 0 -1 3 12 1 0 -1 C) D) -1 3 0 12 1 0 -4 1 12 -1 Perform the indicated row operations, then write the new matrix. -5R1 R2 2) 5 -5 -3 -3 R1 R3 R3 1 11-1 0 -90 10 -3 1 1 11-1 0 -9 -10 2 o -9 10 2

64% 9:47 AM A ALEKS: Melissa Ford Learn X C 66% 9:37 AM A ALEKS: Melis X DO Mathway I Math Problem so X https www-awd aleks.com O EXPONENTS AND POLYNOMIALS Melissa v Using the Pythagorean Theorem and a quadratic equation to find Espanol The leng J he longer leg of a right triangle is 25 inches more than seven times the length of the shorter leg. The length of the s 26 inches more than seven times the length of the shorter leg. Find the side lengths of the triangle Length of the shorter leg: inches aB Length of the longer leg: inches inches Length of the hypotenuse Explanation Check O 2017 McGraw-Hill Education. All Rights Reserved. Terms of Use I Privacy

The area of a rectangle is 21 yd^2, and the length of the rectangle is 1 yd less than twice the width. Find the dimensions of the rectangle.

Matrix: Additional questions set 2 1. A zoo veterinarian can purchase animal food of three different types: A, B and C. Each food comes in the same size bag and the number of grams of each of three nutrients (N1,N2, N3) in each bag is summarised in the following table A B C N1 5 5 10 N2 10 5 30 N3 15 15 10 For one animal, the veterinarian determines that she needs to combine the food types to get 10,000g of N1, 20,000 of N2 and 20,000g of N3 (a) Write down the matrix equation (Ax b) representing the problem. (b Use Gauss Jordan method to obtain the inverse of the matrix A in part (a (c) Use the answer from (b) to determine how many bags of each type of food should she order? (d) If she would like to change the number of grams for each nutrients to be 8000g of N1, 18,400 of N2 and 19,000 of N3, determine how many bags of each type. of food that she need for her new order 1080 0.8 0.2 0.2 1000 d) 20 Ans., b) o 0.7 0.2 0.15 0 0.05 500 250 2 4 -8 0 0 1 -9 a 1 a a 2. Given A 0 0 0 3 1 a az 2 0 0 (a If det(-18A) det (B D detC, find the determinant of D b Find the adjoint of Cadi C and use it to show that C 1 1 1 (c) Find the complete solution to C x 2 1 -4 41 Ans a) -108(1-a2), b) 2 2 2 c) 1 0 2

Matrix: Additional questions set 1 1. John has inherited $25,000 and put the money in three types of investment a money market account, municipal bonds and a mutual fund. After one year, he received a total of $1,620 in simple interest from the three investments. The money market paid 6% annually, the bonds paid 7% annually, and the mutually fund paid 8% annually. His investment in the bonds is s6,000 more than that in the mutual funds. Find the amount John invested in each type of investment. (ay Write down the matrix equation (Ax b)representing the problem. (b) Use GaussJordan method to obtain the inverse of the matrix A in part (a) (c) Use the answer from (b to determine the amount of each type of investment. 15000 25000 ANS 0.06 0.07 0.08 x, 1620 x 8000 2000 L ,J l 6000 0 2 0 and C 2. Let A 0 2 5 a) Find det A and adjoint of A (adj A if (A (BT) -I b) Find B c) Solve A x -2 10 13 -2 33 -10 4 ANS. det A. 20, adj (Al)- 0 10 0 B1- 85 30 0 20 3. For a system of linear equation below where C and D are real constants x, 2x, x 5x, 2x 1 x 2x, 5x2 2x3 x 6 2-3x -6x x, 3x, Cx, 4x 5 Dx a) Write down the matrix equation (Ax b)and the augmented matrix that represents the above system of linear equations b) What are values of C and D that make this system inconsistent? Sasi thon Bland 1703/2016

The area of a rectangle is 55 m^2, and the length of the rectangle is 4 m less than three times the width. Find the dimensions of the rectangle. Length: m Width: m

Suppose that P(x_1, y_1) and Q(x_2, y_2) are points in the (Euclidean) xy-plane. Using modern algebraic techniques, show that the distance between P and Q is given by PQ bar = squareroot (x_2 - x_1)^2 + (y_2 - y_1)^2.

Find the horizontal asymptote, if any, of the rational fur f(x) = x^2 + 3x + 2/9 - x^2 Solve. x^3 - 2x lessthanorequalto 24 - 5x^2 List the critical values of the related function. Then solve -7/-6x - 7 > 0

The set B = {(-1 1 0 0), (1 1 0 0), (0 0 1 0), (0 0 0 1)} is a basis for M_2 times 2. Find the coordinate vector of (2 0 -1 3) relative to B.