# college algebra worded problem

May 29th, 2015
Studypool Tutor
Price: \$10 USD

Tutor description

1.) The length of a rectangular field is 7/5 its width. If the perimeter of the field is 240 meters, what are the length and width of the field? Answer: Let L be the length and W be the width. L = (7/5)W Perimeter: 2L + 2W = 240, 2(7/5)W + 2W = 240

Word Count: 1069
Showing Page: 1/7
1.) The length of a rectangular field is 7/5 its width. If the perimeter of the field is 240 meters, what are the length and width of the field?Answer:Let L be the length and W be the width. L = (7/5)WPerimeter: 2L + 2W = 240, 2(7/5)W + 2W = 240Solve the above equation to find: W = 50 m and L = 70 m.2.) The mass of the earth is about 230 000 000 000 kg. Express this mass in scientific notation.Answer: 2.3 x 10113.) For what value of the constant K does the equation 2x + Kx = 3 have one solution?Answer:Solve for x to obtain: x = 3/(2 + k)The given equation has one solution for all real values of k not equal to -2.4.) For what value of the constant K does the equation Kx2+ 2x = 1 have two real solutions?Answer:Rewrite the given quadratic equation in standard form: Kx2+ 2x - 1 = 0Discriminator = 4 - 4(K)(-1) = 4 + 4KFor the equation to have two real solutions, the discriminator has to be positive. Hence we need to solve the inequality 4 + 4K > 0.The solution set to the above inequality is given by: K > -1 for which the given equation has two real solutions.5.) For what value of the constant K does the system of equations 2x - y = 4 and 6x - 3y = 3K have an infinite number of solutions?Answer:For the system of equations 2x - y = 4 and 6x - 3y = 3K to have an infinite number of solutions, the two equations must be equivalent.If we multiply all terms of the first equation by 3, we obtain6x - 3y = 12for the two equat

## Review from student

Studypool Student
" Got a couple of mistakes which brought me down to a B+, but still overall very pleased. Great stuff. "

1826 tutors are online

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors