Question 49311: Can you help me find the answers for these problem. (IT IS BELOW)
Problem: Monica received x points on a test. Sandra Received 4 points more than Monica.
A. Write Down Sandra's Points in terms of x.
B.When Monica subtracts 7 from her points and squares the results, her answer is 1 more than Sandra's points.
I. Write down an equation in x and show that it simplifies to x to the 2nd power minus 15x plus 44 equals 0.
II. Solve the equation x to the 2nd power minus 15 x plus 44 equals 0.
C. The test was graded out of 10. write down the number of points received by each girl.
Answer by Nate(3500)   (Show Source):
You can put this solution on YOUR website! Can you help me find the answers for these problem. (IT IS BELOW)
Problem: Monica received x points on a test. Sandra Received 4 points more than Monica.
x^2 - 14x + 49 = x + 5A. Write Down Sandra's Points in terms of x.
Sandra's Points: x + 4
B.When Monica subtracts 7 from her points and squares the results, her answer is 1 more than Sandra's points.
I. Write down an equation in x and show that it simplifies to x to the 2nd power minus 15x plus 44 equals 0.
(x - 7)^2 = (x + 4) + 1
x^2 - 15x + 44 = 0
II. Solve the equation x to the 2nd power minus 15 x plus 44 equals 0.
x^2 - 15x + 44 = 0
x^2 - 4x - 11x + 44 = 0
(x^2 - 4x) + (-11x + 44) = 0
x(x - 4) - 11(x - 4) = 0
(x - 11)(x - 4) = 0
x = 11 and x = 4
C. The test was graded out of 10. write down the number of points received by each girl.
Since eleven is more than ten, the answer for 'x' is four. Monica score 'x' amount of points, but Sandra scored (x + 4) amount of points.
Monica: 4/10 received four points
Sandra: 8/10 received eight points
|
|
|
